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[ Amaleaks. Blogspot.COM] Gen Math Week 1-10
Statistics (AMA Computer University)
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GEN MATH GRADE 11 WEEK 1-10
Question 1
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Admission price to Enhcanted Kingdom park is Php 600 per person. The average patron attending EK spends about
Php 500 on food, drinks, games, and souvenirs. Find the function notation that accurately describes this situation.
Select one:
a. E(x) = 600x + 500
b. E(x) = 600 + 500x
c. E(x) = (600x + 500)x
d. E(x) = (600 + 500)x
Feedback
The correct answer is: E(x) = (600 + 500)x
Correct
Marks for this submission: 1.00/1.00. Accounting for previous tries, this gives 0.67/1.00.
Question 2
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Bananas are sold at Php 50.00 per kilo. Write a function notation that describes this situation.
Select one:
a. B(x) = 50x
b. B(x) = x + 50
c. B(x) = x / 50
d. B(x) = x - 50
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The correct answer is: B(x) = 50x
Correct
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Question 3
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The cost of joining a gym membership includes a one time sign-up fee of Php 2000 plus Php 1000 for each month of
membership. Which of the following function notations matches this situation?
Select one:
a. G(m) = (1000 + 2000)m
b. None of the given
c. G(m) = 1000 + 2000m
d. G(m) = 2000 + 1000m
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The correct answer is: G(m) = 2000 + 1000m
Correct
Marks for this submission: 1.00/1.00.
Question 4
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The total cost for playing paintball is Php 100 per gun for rent and Php 1000 per 2000 paintballs. Assuming only
2000 paintballs is allowed for team who will play, which of the following function notation matches the situation?
Select one:
a. P(x) = 2000 - 100x
b. P(x) = 100 + 2000x
c. P(x) = 100x + 2000
d. P(x) = 2000x + 100x
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The correct answer is: P(x) = 100x + 2000
Correct
Marks for this submission: 1.00/1.00.
Question 5
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Which of the following function notation describes the ordered number pair P(x) = {(1,11), (2,22), (3,33), (4,44)}?
Select one:
a. f(x) = x + 11
b. f(x) = x - 11
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c. f(x) = 11x
d. f(x) = 11/x
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The correct answer is: f(x) = 11x
If g(x) = (x+2)/3. Find g(-8).
Answer:
-2
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The correct answer is: -2
Correct
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Question 2
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If g(x) = -2x^2-3. Find g(0).
Answer:
-3
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The correct answer is: -3
Correct
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Question 3
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If g(x) = -8x+1. Find g(-2).
Answer:
17
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The correct answer is: 17
Correct
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Question 4
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If g(x) = 6/(x-3). Find g(5).
Answer:
3
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The correct answer is: 3
Correct
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Question 5
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If g(x) = x-5. Find g(-1).
Answer:
-6
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The correct answer is: -6
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Let f(x) = 4x-5 and g(x) = 3x, find (f+g)(x).
Answer:
7x-5
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The correct answer is: 7x-5
Correct
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Question 2
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Let f(x) = 4x-5 and g(x) = 3x, find (f-g)(x).
Answer:
x-5
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The correct answer is: x-5
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Question 3
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Let f(x) = 4x-5 and g(x) = 3x, find (f/g)(x).
Answer:
(4x-5)/ 3x
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The correct answer is: (4x-5)/3x
Correct
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Question 4
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Let f(x) = 4x-5 and g(x) = 3x, find (fg)(x).
Answer:
12x^2-15x
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The correct answer is: 12x^2-15x
Correct
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Question 5
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Let f(x) = 4x-5 and g(x) = 3x, find (fog)(x).
Answer:
12x-5
Question 1
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Tickets for a movie costs Php 200.00 each. How would you represent the total cost
needed to pay for x number of moviegoers?
Answer:
200x
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The correct answer is: 200x
Correct
Marks for this submission: 1.00/1.00.
Tickets for a movie costs Php 200.00 each. How much is needed to pay for a group of
five who wants to watch a movie?
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Answer:
1000
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The correct answer is: 1000
Correct
Maya has an internet service that currently has a monthly access fee of Php 999.00
pesos and a connection fee of Php 1.00 per hour. Represent her monthly cost as a
function of connection time. (Note: Use x to represent time and do not include 'y='
and 'f(x)=' in your answer. Do not include spaces in your answer.)
Answer:
999+x
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The correct answer is: 999+x
Correct
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Question 4
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Maya has an internet service that currently has a monthly access fee of Php 999.00
pesos and a connection fee of Php 1.00 per hour. How much will she pay if she was
able to use the service for 15 days?
Answer: 1359
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Match the Definition of the terms to the Concept.
Interest
Answer 1
Principal
Answer 2
amount paid or earned for the use of money
amount of money borrowed or invested
Maturity Value Answer 3
amount received on repayment date
Term
Answer 4
time money is borrowed
Interest date
Answer 5
percentage of increase of investment
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Your answer is correct.
Question 2
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Use Simple Interest Computation for your answers.
Find the unknown in the table below:
Principal (P)
10,000.00
Answer
100,000.00
360,000.00
Rate (r)
Time (t) (in years)
8%
15
2%
5
10,000.00
2
3,600.00
Answer
0.5%
500,000.00
10.5%
Answer
880,000.00
9.25%
2.5
Interest (I)
Answer
3.33
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12000.00
175,000.00
Answer
203,500.00
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Question 3
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Find the maturity value and interest if Php 10,000.00 is deposited in a bank at 2%
compounded quarterly for 5 years.
11048.96
Maturity Value: Php Answer
1048.96
Interest: Php Answer
Question 4
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When invested at an annual rate of 5%, an amount earned Php 15,000.00 of simple interest in
2 years. How much money was initially invested?
Answer:
150000
Question 5
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How much money should a student place in a time deposit in a bank that pays 1.1%
compounded annually so that he will have Php 200,000.00 after 6 yrs?
Answer:
187293.65
Question 1
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Given f(x)=squarerootof(x−3)f(x)=squarerootof(x−3), what is f(28)f(28)?
Answer:
5
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(Matching Type) Given f(x)=x+2f(x)=x+2 and g(x)=x2−4g(x)=x2−4 match the
expression to its simplification operation.
x2 + x - 2
Answer 1
1/x-2
Answer 2
x2 - 2
Answer 3
x-2
Answer 4
-x2 + x + 6
Answer 5
x3 + 2x2 - 4x - 8 Answer 6
f +g
f/g
f ?g
g/ f
f-g
f-g
Question 3
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Find the solution for the rational equation 3/(x+1)=2/(x−3)3/(x+1)=2/(x−3).
Answer:
11
Question 4
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Given f(x)=squarerootof(x−3)f(x)=squarerootof(x−3), what is f(4)f(4)?
Answer:
1
Question 5
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Consider the rational function p=(5,125,000V2−449,000V+19307)/
(125V2(1,000V−43))p=(5,125,000V2−449,000V+19307)/(125V2(1,000V−43)), does
the function have a V-intercept?
Answer:
no
Question 6
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Given f(x)=squarerootof(x−3)f(x)=squarerootof(x−3), what is f(12)f(12)?
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Answer:
3
Question 7
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From the table of values, identify which value of x are the zeroes of the function.
x -6 -5
-4
-3 -2 -1 0 1
2
f(x) 2.4 undefined -0.75 0 0.22 0.3 0.3 0.22 0
Answer:
-3
Question 8
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Consider the rational function p=(5,125,000V2−449,000V+19307)/
(125V2(1,000V−43))p=(5,125,000V2−449,000V+19307)/(125V2(1,000V−43)), What
value of V is/are the vertical asymptote(s) of the function? (decimal up to third
decimal figure)
Answer:
0 and 0.043
Question 9
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Consider the rational function p=(5,125,000V2−449,000V+19307)/
(125V2(1,000V−43))p=(5,125,000V2−449,000V+19307)/(125V2(1,000V−43)), does
the function have a p-intercept?
Answer:
no
Question 10
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Consider the rational function p=(5,125,000V2−449,000V+19307)/
(125V2(1,000V−43))p=(5,125,000V2−449,000V+19307)/(125V2(1,000V−43)), what
value of p is the horizontal asymptote of the function?
Answer:
0
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Find the solution for the rational equation: ((2/(x+1)+5/2x)=2\).
0 and -1/ 5
Answer:
Finish review
Question 1
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Are the following functions one-to-one? (Answer by typing "Yes" or "No" without the quotation marks)
1. f(x)=4−3x4f(x)=4−3x4 Answer
2. f(x)=3−4xf(x)=3−4x Answer
No
Yes
3. f(x)=4−3x4−−−−−−√2f(x)=4−3x42 Answer
4. f(x)=3−4y4f(x)=3−4y4 Answer
5. f(x)=10f(x)=10 Answer
No
No
No
Question 2
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Complete the table of values below:
x -2 -1 0 1 2 3
f(x)=(3)^x Answer
Answer
Answer
Answer
Answer
Answer
1/ 9
1/ 3
1
3
9
27
Question 3
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For the function g(x) = 2x, find
g(2) = Answer
4
g(4) = Answer
16
g(0) = Answer
1
g(-2) = Answer
1/ 4
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g(-4) = Answer
1/16
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Given the Function: {(5, 10), (6, 12), (7, 14)}, give the domain and the
range. (Note: give the values separated by a space. example: Range: 1 2 3)
567
1. Domain: Answer
2. Range: Answer
10 12 14
Question 5
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Temperatures are normally expressed in degree Celsius in the Philippines and
in Fahrenheit in some western countries. If the function for fahrenheit to
celsius conversion is \(T(�C) = (T(�F) - 32) � 5/9\), the celsius to fahrenheit
conversion is \(T(�F) = (T(�C) � 9/5) + 32\).
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1. What is the equivalent conversion of 72�F to Celsius? Answer
22.22
�F (Note: with two decimal digits)
2. What is the equivalent conversion of 100�C to Fahrenheit? Answer
�F (Note: with two decimal digits)
Question 6
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Which of the following represents an exponential function?
Select one:
a. The conversion of fahrenheit to celsius
b. The amount billed to a girl who bought a basket of flowers
c. The number of trees in a rainforest
d. population growth of microorganisms
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Which of the is the inverse of (\f(x) = 5x - 4\)?
Select one:
a. (\f(x) = 1/(5x - 4)\)
b. (\f(x) = (4 - x)/5\)
c. (\f(x) = (x + 4)/5\)
d. (\f(x) = (x - 4)/5\)
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Question 8
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Given the equation \(10x + 3 = 3x - 4\), solve for the value of x that will
make the equation true.
Answer:
-1
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Question 9
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A function whose graph is a slanted line has an inverse function.
Select one:
True
False
Question 10
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Some functions have inverse functions.
Select one:
True
False
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Question 11
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The absolute value function has an inverse function.
Select one:
True
False
Question 12
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The horizontal line test is used to determine whether a function is one-to-one
when its graph is given.
Select one:
True
False
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Question 1
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Let f(x) = 2x-3 and g(x) = 4x, find (fog)(x).
Answer:
8x-3
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The correct answer is: 8x-3
Question 2
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If g(x) = -4a+7. Find g(2a).
Answer:
-8a+7
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The correct answer is: -8a+7
Question 3
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Correct
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Let f(x) = -10x-18 and g(x) = -3x, find (f-g)(x).
Answer:
-7x-18
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The correct answer is: -7x-18
Question 4
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If g(x) = (-7x+1)/(x^2+1). Find g(3).
Answer:
-2
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The correct answer is: -2
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If g(x) = 3x-5. Find g(4).
Answer:
7
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The correct answer is: 7
Question 6
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When diving in the ocean, you must consider how much pressure you will experience
from diving a certain depth. From the atmosphere, we experience about 14.7 pounds
per square inch (psi) and for every foot we dive down into the ocean, we experience
another 0.44 psi in pressure. How far (in feet) can you dive without experiencing more
than 58.7 psi of pressure on your body?
Answer:
100
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The correct answer is: 100
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Question 7
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Which of the following function notation describes the ordered number pair P(x) =
{(1,6), (2,11), (3,16), (4,21)}?
Select one:
a. f(x) = 11/5x
b. f(x) = 5x + 1
c. f(x) = x + 6
d. f(x) = 5x - 1
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The correct answer is: f(x) = 5x + 1
Question 8
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Admission price to Universal Studios park is Php 2600 per person. The average patron
attending spends about Php 1500 on food, drinks, games, and souvenirs. Find the
function notation that accurately describes this situation.
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Select one:
a. E(x) = 2600 + 1500x
b. E(x) = (2600 + 1500)x
c. E(x) = (2600x + 1500)x
d. E(x) = 2600x + 1500
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The correct answer is: E(x) = (2600 + 1500)x
Question 9
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If g(x) = 3x^2+2x-1. Find g(-1).
Answer:
0
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The correct answer is: 0
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If g(x) = 4|x-3|+2. Find g(1).
Answer:
10
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The correct answer is: 10
Question 1
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Given f(x)=x−2f(x)=x−2, find the following:
-2
a. f(0)=f(0)= Answer
b. f(3)=f(3)= Answer
1
c. f(−1)=f(−1)= Answer
-3
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Question 2
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Solve x in the rational equation:
Answer:
x2−4xx−2=14−9xx−2x2−4xx−2=14−9xx−2
-7
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After taking a certain antibiotic, the concentration (C) of the drug in the patient's
bloodstream is given by [Math Error]C(x)=(0.04t)/(t2−2), where t is the time (in
hours) after taking the antibiotic. How many hours after the antibiotic will its
concentration be 0.04 units?
Select one:
a. 4 hours
b. 2 hours
c. 5 hours
d. 3 hours
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The average cost per unit C(x), in dollars, to produce x units of toy cars is given
by C(x)=(8000)/(x−50)C(x)=(8000)/(x−50). What is the approximate cost per unit
when 1250 toy cars are produced?
Select one:
a. $6.15
b. $6.67
c. $43.60
d. $56.40
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The weekly sale S (in thousands of units) for the t^th week after the introduction of
the product in the market is given by S=(120t)/(t2+100)S=(120t)/(t2+100). In
which week would the sale (S) have been 6?
Select one:
a. Ninth
b. Fourth
c. Fifth
d. Tenth
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Train A covers 240 miles in the same time train B covers 180 miles. If the average
speed of train A is 20 mph more than that of train B, then what is the average speed of
train B?
Select one:
a. 90
b. 70
c. 80
d. 60
Question 5
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Two race car drivers Ryan and Philip were taking laps around the race track. It was
noted that Ryan drove 52.5 miles in the same time that Philip drove 37.5 miles. If
Ryan's average speed was 30 mph more than that of Philip, what was Ryan's average
speed?
Select one:
a. 75 mph
b. 105 mph
c. 115 mph
d. 85 mph
Are the following functions one-to-one? (Answer by typing "Yes" or "No" - without
the quotation marks)
No
1. f(x)=4−3x2f(x)=4−3x2 Answer
Yes
2. f(x)=4−3xf(x)=4−3x Answer
Yes
3. f(x)=squarerootof(4−3x2)f(x)=squarerootof(4−3x2) Answer
No
4. f(x)=4−3y2f(x)=4−3y2 Answer
No
5. f(x)=4f(x)=4 Answer
Question 2
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Given the Function: {(1, 2), (2, 5), (3, 7)}, give the domain and the range. (Note: give
the values separated by a space. example: Range: 1 2 3)
123
1. Domain: Answer
257
2. Range: Answer
Question 3
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Which of the is the inverse of (\f(x) = 4x+12\)?
Select one:
a. (\f(x) = 12x-4\)
b. (\f(x) = 12x+4\)
c. (\f(x) = (x/4)-3\)
d. (\f(x) = (x/4)+3\)
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All functions have inverse functions.
Select one:
True
False
Question 5
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The vertical line test is used to determine whether a function is one-to-one when its
graph is given.
Select one:
True
False
Question text
Temperatures are normally expressed in degree Celsius in the Philippines and in
Fahrenheit in some western countries. If the function for fahrenheit to celsius
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conversion is \(T(�C) = (T(�F) - 32) � 5/9\), the celsius to fahrenheit conversion is \
(T(�F) = (T(�C) � 9/5) + 32\).
21.11
1. What is the equivalent conversion of 70�F to Celsius? Answer
�F (Note: with two decimal digits)
Yes
2. Are the two functions inverse of each other? (Note: "Yes" or "No") Answer
Question 2
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Which of the following represents an exponential function?
Select one:
a. The amount billed to a girl who bought a pair of jeans
b. The conversion of kelvin to celsius
c. growth of bacteria in a petridish
d. The number of students enrolled in a class
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A function whose graph is a parabola has an inverse function.
Select one:
True
False
Question 4
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The absolute value function for the domain of all positive real numbers has an inverse
function.
Select one:
True
False
Question 1
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Complete the table of values below:
x
-2
-1
0
1
2
9
f(x)=(1/3)^x
Answer
Answer
Answer
Answer
Answer
Answer
3
1
1/ 3
1/ 9
1/ 27
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For the function \(g(x) = 3^x\), find
9
\(g(2)\) = Answer
81
\(g(4)\) = Answer
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1
\(g(0)\) = Answer
1/ 9
\(g(-2)\) = Answer
1/81
\(g(-4)\) = Answer
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Given the equation \(5^(-2x -10) = 25^(x + 1)\), solve for the value of x that will make
the equation true.
Answer:
-3
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What is the y−intercepty−intercept of f(x)=2xf(x)=2x?
Answer:
1
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CopyComplete
x
y=2x
y=-2x
y=(3)(2x)
the table of values below:
-3
Answer
-2
-0.125
Answer
0
1
2
3
Answer Answer Answer Answer Answer Answer
0.125
Answer
-1
0.25
0.5
1
2
4
8
Answer Answer Answer Answer Answer Answer
-0.25
-0.5
-1
-2
-4
-8
0.75
1.5
3
6
12
24
How the graph
relates to y=2x
Not applicable
multiplied
-1
by Answer
multiplied
Answer Answer Answer Answer Answer Answer
0.375
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Solve for the value of x:
2
1. 7x+4 = 492x-1 x = Answer
1
1. 4x+2 = 82x x = Answer
Question text
Find the value of the following logarithmic expressions
5
(a) log2 32 = Answer
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3
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3
(b) log9 729 = Answer
1
(c) log5 5 = Answer
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Find the value of x
16
(a) 24 = x x = Answer
64
(b) 43 = x x = Answer
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Give the Exponential form of the following logarithmic functions.
Note: use caret(^) to denote exponents. ie 3 cube is 3^3.
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Logarithmic Form
log1/2 16 = -4
Exponential Form
(1/ 2)^-4
Answer
= Answer
16
Answer
log7 1 = 0
7^0
= Answer
Answer
log5 1/sqrt(5) = -1/2
= Answer
1
5^(-1/ 2)
1/sqrt(5)
Question 4
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Solve for the logarithmic expression:
11
log7 (73 � 78) = Answer
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Solve for the following logarithmic functions:
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5
(a) log3 (2x-1) = 2 x = Answer
-4
(b) logx 16 = 2 x = Answer
4
and Answer
(Note: enter the answers in increasing numerical value)
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What is the zero of the logarithmic function: f(x) = log 3 (x-1)?
0
Zero: Answer
What is the vertical asymptote of the function?
0
x = Answer
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How long will Php 40,000.00 amount to Php 51,200.00 if the simple interest rate is at 12% per
annum?
2
Answer: Answer
yrs and Answer
months
4
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A savings account in a bank yields 0.25% compound interest annually. If you deposited Php
25,000.00 for 4 years, compute for the following:
25250.94
(a) The future value of the money invested. Answer
250.94
(b) The interest paid to you by the bank. Answer
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When invested at an annual rate of 7%, an amount earned Php 21,000.00 of simple interest in
3 years. How much money was initially invested?
Answer:
100000.00
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Find the present value of Php 50,000.00 due in 4 years if money is invested at 12%
compounded semi-annually.
Answer:
31370.62
right AMA University Online Education, 2016
Question text
(Matching Type) Given f(x) = x + 4 and g(x) = 2x + 1 match the expression to its
simplification operation.
2x2 + 9x + 12 Answer 1
fg
x+4 / 2x+1
Answer 2
f/ g
-x + 3
Answer 3
3x + 5
Answer 4
2x + 5
Answer 5
f-g
f +g
f of g
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2x+1 / x+4
Answer 6
g/ f
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Are the following functions one-to-one? (Answer by typing "Yes" or "No" - without
the quotation marks)
No
1. f(x)=3−8x2f(x)=3−8x2 Answer
Yes
2. f(x)=5−9xf(x)=5−9x Answer
No
3. f(x)=squarerootof(2−5x8)f(x)=squarerootof(2−5x8) Answer
Yes
4. f(x)=xf(x)=x Answer
No
5. f(x)=10f(x)=10 Answer
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Complete the table of values below:
x
-2
-1
0
1
2
1/ 25
f(x)=(5)^x
Answer
Answer
Answer
Answer
Answer
Answer
1/ 5
1
5
25
125
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Consider the rational expression f(x)=5x−1−x+2f(x)=5x−1−x+2,
2
What is its vertical asymptote? x = Answer
-5
What is its horizontal asymptote? y = Answer
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Find the value of the following logarithmic expressions
5
(a) log2 32 = Answer
3
(b) log9 729 = Answer
1
(c) log5 5 = Answer
Question 6
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For the function g(x) = 3x, find
9
g(2) = Answer
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81
g(4) = Answer
1
g(0) = Answer
1/ 9
g(-2) = Answer
1/81
g(-4) = Answer
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Given the Function: {(10, 9), (11, 8), (12, 7)}, give the domain and the range. (Note:
give the values separated by a space. example: Range: 1 2 3)
10 11 12
1. Domain: Answer
987
2. Range: Answer
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One hundred meters of fencing is available to enclose a rectangular area next to a
river. Give a function A that can represent the area that can be enclosed in terms of x.
-50
Function : A = Answer
x2 + Answer
x
50
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Temperatures are normally expressed in degree Celsius in the Philippines and in
Fahrenheit in some western countries. If the function for fahrenheit to celsius
conversion is \(T(°C) = (T(°F) - 32) × 5/9\), the celsius to fahrenheit conversion is \(T(°F) =
(T(°C) × 9/5) + 32\).
20.00
1. What is the equivalent conversion of 68°F to Celsius? Answer
°F (Note: with two decimal digits)
32.00
2. What is the equivalent conversion of 0°C to Fahrenheit? Answer
°F (Note: with two decimal digits)
Question 10
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Which of the following is the inverse of f(x) = ½(3x + 4)?
Select one:
a. f-1(y) = 2/3 (y-2)
b. f-1(y) = 2/3 (y-4)
c. f-1(y) = 1/3 (2y+4)
d. f-1(y) = ½ (3y-4)
Question 11
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Which of the following does not represent an exponential function?
Select one:
a. half life of nuclear matter
b. compound interest of loans acquired
c. population growth of microorganisms
d. The conversion of fahrenheit to celsius
Question 12
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Evaluate the following given
.
f(19)
Answer:
4
Question 13
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Evaluate the following given
.
f(52)
Answer:
7
Question 14
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Evaluate the following given
.
f(84)
Answer:
9
Question 15
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From the table of values, identify which value of x are the zeroes of the function.
Answer:
-3 and 2
Question 16
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Find the solution for each rational equation:
Answer:
11
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Find the solution for each rational equation:
Answer:
5/8
Question 18
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The graph of a function and its inverse are always reflections of each other in the line
y=x
Select one:
True
False
Question 19
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The relation pairing a real number to its square is a one-to-one function.
Select one:
True
False
Question 20
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The relation pairing an SSS member to his/her SSS number is a one-to-one function.
Select one:
True
False
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GMATH WEEK 11 SHORT QUIZ 10
G-MAT-111 WEEK 12: LEARNING ACTIVITY 5
QUESTION 1
How many months of artificial payments would you make if you are buy an appliance for
Php 2,00.00
for 1 year starting from the 7th month?
ANSWER: 6
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QUESTION 2
Your sister recently landed her dream job. As part of planning for future expenses, she
started to
Deposit Php 1,000.00 monthly in a fund that pays 6% compounded quarterly. How much
will her
funds worth be after 15 years?
ANSWER: 290076.28
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G-MAT-111 WEEK 12: SHORT QUIZ 11
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Week 13 long quiz 3
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G-MAT-111 WEEK 14: LEARNING ACTIVITY 6
QUESTION 1
A land developer declared a dividend of Php 10,000,000.00 for its common stock. Suppose
There are 600,000 shares of common stock, how much is the dividend per share?
ANSWER: 16.67
QUESTION 2
A certain company gave out Php 25.00 dividend per share for its common stock. The
market value of the stock is Php 92.00. determine the stock yield ratio.
ANSWER: 21.27
G-MAT-111 WEEK 14: SHORTQUIZ 12
QUESTION 1
Find the amount of the semi-annual coupon for a Php 250,000.00 bond which pays 7%
convertible semi-annually for its coupons.
ANSWER: 8750
QUESTION 2
A food corporation declared a dividend of Php 25,000.00 for its common stock. suppose
there are 180,000 shares of common stock, how much is the dividend per share?
ANSWER: 138.89
QUESTION 3
Determine the amount of asemi-annual coupon paid for a 3% -bond with a face value of
Php 80,000.00 which matures after 15 years.
ANSWER: 1200
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QUESTION 4
A property holdings declared a dividend of Php 9.00 per share for the common stock. If the
stock closes at Php 76.00, how large is the stock yield ratio?
ANSWER:11.84
G-MAT-111 WEEK 15: LEARNING ACTIVITY 7
QUESTION 1
Determine what type of loan is needed for the following situations:
(A) Mr. Agustin plans to have a barbershop. He wants to borrow some money from the
bank in order for him to buy the equipment and furniture for the barbershop.
ANSWER: Business Loan
(B) Mr. and Mrs. Craig wants to borrow money from the bank to finance the college
education of their son.
ANSWER: Consumer Loan
QUESTION 2
A loan of Php 200,000.00 is to be repaid In full after 3 years. If the interest rate is 8% per
annum, how much should be paid after 3 years?
ANSWER: 251942.4
G-MAT-111 WEEK 15: SHORTQUIZ 13
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QUESTION 1
Determine what type of loan is needed for the following situations:
(A) Mr. Alonzo wants to have some improvements in their 10-years old house. He will
borrow money from the bank to finance this plan.
ANSWER: Consumer Loan
(B) Mr. Samson owns a siomai food cart business. He wants to put another cart. He
decided to have a loan to establish the new business.
ANSWER: Business Loan
QUESTION 2
If a condominium is purchased for Php 5,700,000.00 and the bank requires 30% down
payment, how much is the mortgaged amount?
ANSWER: 3990000
QUESTION 3
Mr. Capan obtained a 10-year mortgage for Php 4,200,000.00. if his monthly payment is
Php 39,500.00, how much is the total interest?
ANSWER: 540000
QUESTION 4
A family obtained a Php 1,000,000.00 mortgaged. If the monthly payment is Php 38,000.00
for four years, how much is the total interest paid?
ANSWER: 824000
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WEEK 16 LONG QUIZ 4
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GMATH WEEK 17 LA8
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WEEK 17 SHORT QUIZ 14
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WEEK 18 LA 9
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SHORT QUIZ 15
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WEEK 19 LA 10
Short quiz 16
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G-MAT-111 WEEK 14: SHORTQUIZ 12
QUESTION 1
Find the amount of the semi-annual coupon for a Php 250,000.00 bond which pays 7%
convertible semi-annually for its coupons.
ANSWER: 8750
QUESTION 2
A food corporation declared a dividend of Php 25,000.00 for its common stock. suppose
there are 180,000 shares of common stock, how much is the dividend per share?
ANSWER: 138.89
QUESTION 3
Determine the amount of asemi-annual coupon paid for a 3% -bond with a face value of
Php 80,000.00 which matures after 15 years.
ANSWER: 1200
QUESTION 4
A property holdings declared a dividend of Php 9.00 per share for the common stock. If the
stock closes at Php 76.00, how large is the stock yield ratio?
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ANSWER:11.84
G-MAT-111 WEEK 15: SHORTQUIZ 13
QUESTION 1
Determine what type of loan is needed for the following situations:
(C) Mr. Alonzo wants to have some improvements in their 10-years old house. He will
borrow money from the bank to finance this plan.
ANSWER: Consumer Loan
(D) Mr. Samson owns a siomai food cart business. He wants to put another cart. He
decided to have a loan to establish the new business.
ANSWER: Business Loan
QUESTION 2
If a condominium is purchased for Php 5,700,000.00 and the bank requires 30% down
payment, how much is the mortgaged amount?
ANSWER: 3990000
QUESTION 3
Mr. Capan obtained a 10-year mortgage for Php 4,200,000.00. if his monthly payment is
Php 39,500.00, how much is the total interest?
ANSWER: 540000
QUESTION 4
A family obtained a Php 1,000,000.00 mortgaged. If the monthly payment is Php 38,000.00
for four years, how much is the total interest paid?
ANSWER: 824000
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G-MAT-111 WEEK 15: LEARNING ACTIVITY 7
QUESTION 1
Determine what type of loan is needed for the following situations:
(C) Mr. Agustin plans to have a barbershop. He wants to borrow some money from the
bank in order for him to buy the equipment and furniture for the barbershop.
ANSWER: Business Loan
(D) Mr. and Mrs. Craig wants to borrow money from the bank to finance the college
education of their son.
ANSWER: Consumer Loan
QUESTION 2
A loan of Php 200,000.00 is to be repaid In full after 3 years. If the interest rate is 8% per
annum, how much should be paid after 3 years?
ANSWER: 251942.4
G-MAT-111 WEEK 14: LEARNING ACTIVITY 6
QUESTION 1
A land developer declared a dividend of Php 10,000,000.00 for its common stock. Suppose
There are 600,000 shares of common stock, how much is the dividend per share?
ANSWER: 16.67
QUESTION 2
A certain company gave out Php 25.00 dividend per share for its common stock. The
market value of the stock is Php 92.00. determine the stock yield ratio.
ANSWER: 21.27
G-MAT-111 WEEK 12: LEARNING ACTIVITY 5
QUESTION 1
How many months of artificial payments would you make if you are buy an appliance for
Php 2,00.00
for 1 year starting from the 7th month?
ANSWER: 6
QUESTION 2
Your sister recently landed her dream job. As part of planning for future expenses, she
started to
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Deposit Php 1,000.00 monthly in a fund that pays 6% compounded quarterly. How much
will her
funds worth be after 15 years?
ANSWER: 290076.28
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G-MAT-111 WEEK 12: SHORT QUIZ 11
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Question 1
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Question text
A certain company gave out Php 25.00 dividend per share for its common stock. The market
value of the stock is Php 92.00. Determine the stock yield ratio. (Note: Answer should be in
percent with two decimal places)
Answer:
21.27
Question 2
Complete
Mark 3.00 out of 3.00
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Question text
A land developer declared a dividend of Php 10,000,000.00 for its common stock. Suppose
there are 600,000 shares of common stock, how much is the dividend per share?
16.67
Answer:
Finish review
GMAT:
LA1: 5/5
Admission price to Enhcanted Kingdom park is Php 600 per person. The average patron
attending EK spends about Php 500 on food, drinks, games, and souvenirs. Find the function
notation that accurately describes this situation.
Select one:
a. E(x) = (600 + 500)x
b. E(x) = (600x + 500)x
c. E(x) = 600 + 500x
d. E(x) = 600x + 500
Question 2
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The cost of joining a gym membership includes a one time sign-up fee of Php 2000 plus Php
1000 for each month of membership. Which of the following function notations matches this
situation?
Select one:
a. G(m) = 1000 + 2000m
b. G(m) = 2000 + 1000m
c. G(m) = (1000 + 2000)m
d. None of the given
Question 3
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Bananas are sold at Php 50.00 per kilo. Write a function notation that describes this situation.
Select one:
a. B(x) = x + 50
b. B(x) = x - 50
c. B(x) = 50x
d. B(x) = x / 50
Question 4
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Which of the following function notation describes the ordered number pair P(x) = {(1,11), (2,22),
(3,33), (4,44)}?
Select one:
a. f(x) = 11x
b. f(x) = 11/x
c. f(x) = x + 11
d. f(x) = x - 11
Question 5
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The total cost for playing paintball is Php 100 per gun for rent and Php 1000 per 2000 paintballs.
Assuming only 2000 paintballs is allowed for team who will play, which of the following function
notation matches the situation?
Select one:
a. P(x) = 2000 - 100x
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b. P(x) = 100x + 2000
c. P(x) = 100 + 2000x
d. P(x) = 2000x + 100x
Matching Type) Given f(x) = x + 4 and g(x) = 2x + 1 match the expression to its
simplification operation.
2x2 + 9x + 12 Answer 1
fg
x+4 / 2x+1
Answer 2
f/ g
-x + 3
Answer 3
3x + 5
Answer 4
2x + 5
Answer 5
2x+1 / x+4
Answer 6
f-g
f +g
f of g
g/ f
Question 2
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Are the following functions one-to-one? (Answer by typing "Yes" or "No" - without
the quotation marks)
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No
1. f(x)=3−8x2f(x)=3−8x2 Answer
Yes
2. f(x)=5−9xf(x)=5−9x Answer
No
3. f(x)=squarerootof(2−5x8)f(x)=squarerootof(2−5x8) Answer
Yes
4. f(x)=xf(x)=x Answer
No
5. f(x)=10f(x)=10 Answer
Question 3
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Complete the table of values below:
x
-2
-1
0
1
2
1/ 25
f(x)=(5)^x
Answer
Answer
Answer
Answer
Answer
Answer
1/ 5
1
5
25
125
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Consider the rational expression f(x)=5x−1−x+2f(x)=5x−1−x+2,
2
What is its vertical asymptote? x = Answer
-5
What is its horizontal asymptote? y = Answer
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Find the value of the following logarithmic expressions
5
(a) log2 32 = Answer
3
(b) log9 729 = Answer
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1
(c) log5 5 = Answer
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For the function g(x) = 3x, find
9
g(2) = Answer
81
g(4) = Answer
1
g(0) = Answer
1/ 9
g(-2) = Answer
1/81
g(-4) = Answer
Question 7
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Given the Function: {(10, 9), (11, 8), (12, 7)}, give the domain and the range. (Note:
give the values separated by a space. example: Range: 1 2 3)
10 11 12
1. Domain: Answer
987
2. Range: Answer
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One hundred meters of fencing is available to enclose a rectangular area next to a
river. Give a function A that can represent the area that can be enclosed in terms of x.
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-50
Function : A = Answer
x2 + Answer
x
50
Question 9
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Temperatures are normally expressed in degree Celsius in the Philippines and in
Fahrenheit in some western countries. If the function for fahrenheit to celsius
conversion is \(T(°C) = (T(°F) - 32) × 5/9\), the celsius to fahrenheit conversion is \(T(°F) =
(T(°C) × 9/5) + 32\).
20.00
1. What is the equivalent conversion of 68°F to Celsius? Answer
°F (Note: with two decimal digits)
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32.00
2. What is the equivalent conversion of 0°C to Fahrenheit? Answer
°F (Note: with two decimal digits)
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Which of the following is the inverse of f(x) = ½(3x + 4)?
Select one:
a. f-1(y) = 2/3 (y-2)
b. f-1(y) = 2/3 (y-4)
c. f-1(y) = 1/3 (2y+4)
d. f-1(y) = ½ (3y-4)
Question 11
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Which of the following does not represent an exponential function?
Select one:
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a. half life of nuclear matter
b. compound interest of loans acquired
c. population growth of microorganisms
d. The conversion of fahrenheit to celsius
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Evaluate the following given
.
f(19)
Answer:
4
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Evaluate the following given
.
f(52)
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Answer:
7
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Evaluate the following given
.
f(84)
Answer:
9
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From the table of values, identify which value of x are the zeroes of the function.
Answer:
-3 and 2
Question 16
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Complete
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Find the solution for each rational equation:
Answer:
11
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Find the solution for each rational equation:
Answer:
5/8
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The graph of a function and its inverse are always reflections of each other in the line
y=x
Select one:
True
False
Question 19
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The relation pairing a real number to its square is a one-to-one function.
Select one:
True
False
Question 20
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The relation pairing an SSS member to his/her SSS number is a one-to-one function.
Select one:
True
False
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