Name
Student ID #
Class Section
Instructor
Math 1030
Spring 2010
EXAM
Dept. Use Only
Exam Scores
Problem Points Score
1.
20
2.
20
3.
20
4.
20
5.
20
TOTAL
Show all your work and make sure you justify all your
answers.
Math 1030
Exam
1. This is not a complete study guide. I will discuss the equations you
need to know for exam after break. Also be aware that I make mistakes
so there maybe one or two errors in the practice exam.
2. Do the following problems.
(a) The percentage of all bachelor's degrees awarded to men dropped
from 56 percent in 1972 to 42 percent in 2000. Find the relative
change.
(b) (Time, March 27, 2006) " 54902 - Number of licensed gun dealers in the U.S. in 2005, down 78 percent from 1994." How many
licensed gun dealers were in the U.S. in 1994?
(c) Mary's scored 50 percent higher on the SAT than John what is
the ratio of Johns score compared to Mary's?
(d) The cost of feeding and elephant for one month is 500 a month
while the cost of feeding a puppy is 25 a month. Find the absolute
and relative dierence in cost (for the relative dierence how much
more does it cost to feed the elephant?).
(e) The cost of a truck is twenty percent less than the cost of a 89 765
Prius. How much is the truck
;
1
3. Do the following. (BE SURE TO CLEALY STATE YOUR ASSUMPTIONS IF ANY FOR THESE PROBLEMS.)
(a) Estimate how much time you spend studying for classing durning
four years of college.
(b) How long will it take you to count out one million dollars in ve
dollar bills.
2
4. Assume that for the average individual, aspirin has a half-life of 12
hours in the bloodstream. At 2 p.m. you take a 300-milligram dose of
aspirin.
(a) How much aspirin will be in your bloodstream at 11 p.m.?
(b) How long will it take for the amount of aspirin to decay to 15
percent of its original amount?
3
5. Do the following problems
(a) If you deposit 6000 now and you can get an APR of 2 15 percent
compounded continuously, how much will you have in 17 years?
:
(b) You are buying a 550 000 dollar home and the bank oers you a
loan of 8 percent interest. Compute your monthly payments and
the total amount you pay in interest.
;
(c) Suppose now you are in the same situation as (b), but you wife
(or husband, or friend) is a savy negotiator, and manages to lower
the interest rate down to 6 75 percent interest. Compute your
monthly payments, and the total amount you pay in interest.
:
(d) Suppose your grandparents pass away leaving you with one of
their investments which had an annual interest rate of 11 percent
compounding semiannually. They orginally invested 23400 dollars
in 1980 how much money did they leave you?
(e) You have just had a child and want to save up 50000 for when
she turns 18. What should your monthly payments be if you
can invest money into a bank account paying 4 percent interest
compounding quarterly.
4
6. Do the following problems
(a) Solve for (if possible): 2x+3 10000 = 0
x
(b) Solve for (if possible): 33x 72x+3 100 = 0
x
(c) Solve for (if possible):
x
log
10 (2x + 4) = 2
(d) You want to make monthly payments of 175 into an account earning 6 interest compounded monthly in order to save up 13000
dollars how long will it take you to reach this goal.
(e) You have a credit card debt of 9980 dollars and are being chared
an APR of 20 percent. You can aord to pay o 261 a month how
long will it take you to pay o your debt?
(f) The population of planet Upsilon is 23400, and the population
grows at a rate of 17 percent in one earth year. Find the exact
doubling time, the population after 8 earth years, and an equation
for the population in earth years.
5