Math 9
Study Guide for Exam #1
Spring 2016
The following questions are representative of the problems that you will be asked to solve on the in class
exam. You should attempt to solve each one without referring to your notes or your textbook. The actual
exam will have more problems.
1. Find the amount due on a loan of $8,500 at 7.5% simple interest at the end of 4 years.
ANS: $11,050
2. Textbook: Pg 133, #72
ANS: 22.112%
3. Textbook: Pg 144, #18
ANS: 3.25 years
4. Weekly Review #2, Problem #3
ANS: i = 0.0629
5. When Darth was 14, he got an afterschool job at a pet shop. His parents told him that if he put some
of his earnings into an annuity that they would contribute an equal amount. That year and every year
thereafter, he deposited $1,000 into his annuity. When he became 25, his parents stopped contributing,
but Darth increased his annual deposit to $2,000 and continued depositing that amount until he retired
at age 65. His annuity pays 8.5%. Find: a) the future value b) the total contribution c) the total interest.
ANS: a) $1,484,909.47 b) $102,000 c) $1,382,909.47
6. Weekly Review #3, Problem #5
ANS: a) PMT = $1251.95 b) PMT = $1866.80
7. If n(A) = 6 , n(B) = 8 , and n(A ∪ B) = 10 , then n(A ∩ B) = ?
ANS: 4
8. At Southern States University there are 719 students taking Finite Mathematics or Statistics. 328 are
taking Finite Mathematics, 476 are taking Statistics, and 85 are taking both Finite Mathematics and
Statistics. How many are taking Statistics but not Finite Mathematics?
ANS: 391
9. Five men and five women are in line to purchase tickets for a movie. a) In how many different ways
can they line up? b) In how many ways can they line up if the first person in line is a woman, the
second in line is a man and the rest alternate woman, man, woman, man, and so on?
ANS: a) 3,628,800 b) 14,400
10. The U.S. Senate of the 106th Congress consisted of 55 Republicans and 45 Democrats. A committee
of 7 is to be formed. How many different committees can be formed if: a) each committee must have
4 Republicans and 3 Democrats? b) each committee must have at least 6 Democrats?
ANS: a) 4,839,570,450 b) 493,357,920