ADM 1305: MATHEMATICS FOR BUSINESS WINTER 2023
Cover
ASSIGNMENT 2 (DUE BY Feb 1st 2023
page
– 5:59 pm) Instructor: Edward Olale
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15
Total
50
PERSONAL ETHICS STATEMENT CONCERNING TELFER
SCHOOL ASSIGNMENTS
Individual Assignment:
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work and that I have applied all the appropriate rules of quotation and referencing in use at the
Telfer School of Management at the University of Ottawa, as well as adhered to the fraud policies
outlined in the Academic Regulations in the University’s Undergraduate Studies Calendar Academic
Fraud Webpage.
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Question 1 (8 points)
Non-linear (in)equations
Determine the domain of definition then solve the following:
a) 2
x 2  2 x 1
4
x
3
2
b) Ln  x 2  2 x  3  0
Question 2 (5 points)
(4 points)
(4 points)
Compounding and investments
ln the period immediately following its initial public offering (IPO), OHaganBooks.com's
shares were doubling in value every 3 hours. If you bought $10,000 worth of the stock
when it was first offered, how much were your shares worth after 8 hours?
Question 3 (12 points)
Quadratic model
A team of researchers was asked to study the extent of broadband access in Canada. It
found some very old data online on broadband access from the start of 2001 to the end of
2003 and used it to construct the following quadratic model of the growth rate of broadband
access:
n(t )  2t 2  6t  12
(t is time in years; t  0 represents the start of the year 2000)
a) Determine the appropriate domain of the function n
(3 points)
b) According to the model, when was the growth rate at a minimum?(3 points)
c) Does the model predict a zero growth rate at any particular time? If so, when?
(3 points)
d) What feature of this quadratic model indicates that the growth rate eventually
increases?
(3 points)
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Question 4 (10 points)
Compounding and investments
Find the time required, to the nearest 0.1 year, for the investment to reach the desired goal:
a) $2,000 invested at 6. 75%, compounded daily; goal: $3,000
(5 points)
b) Investment at 6. 75%, compounded continuously; goal: triple initial investment
(5 points)
Question 5 (15 points)
Declining investments
ln August 2013, E-TRADE Financial indexed fund was tumbling by 1.5% (per annum).
Given that the interest is compounded monthly:
a) Determine the associated exponential model for the value of a $5,000 deposit after
t years.
(5 points)
b) Assuming that this rate of return continued for 3 years, how much would a deposit
of $5,000 in August 2013 be worth in August 2016? (Answer to the nearest dollar)
(5 points)
c) How many months will it take before the initial investment drops by a tenth should
the falling trend last much longer? (Answer to the nearest month) (5 points)
End of Assignment 2
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