DeKalb County School District



Name__________________

Date___________Period___

Churchill High School

Semester 2 Final Exam

1) (V.A.1)Mark decides to take a job with a company that sells magazine subscriptions. He is paid $30 to start selling and then earns $1.25 for each subscription he sells. Which of the following represents a Recursive Rule for this situation?

a. Mn=Mn-1+ 1.25 where n>0 and M0=30

b. M = 1.25S + 30 where n[pic]0

c. Mn=Mn-1+ 30 where n>0 and M0=1.25

d. Mn=Mn-1+ 1.50 where n>0 and M0=20

2) (V.A.1)Your phone service allows you to add international long distance to your phone. The cost is a $7 flat fee and then $.02 a minute for calls made. Write a closed-form function rule describing your monthly cost for international calls.

a. Mn=Mn-1+ .02 where n>0 and M0=7

b. Mn=Mn-1+ 7 where n>0 and M0=.02

c. C = .02M + 7 where n[pic]0

d. C= 7M + .02

3) (V.B.2) Racquetballs are sealed in a pressurized container to maintain the rebound percentage of the balls. A racquetball has a rebound percentage of 83% when it is taken out of the pressurized can. Suppose a racquetball is dropped from a height of 3 meters onto a racquetball court. Use the rebound rate given to predict the height of the ball after the first 5 bounces.

a. .1007 meters

b. 1.182 meters

c. 1.424 meters

d. 0 meters

4) (V.B.2)For the racquetball described in question 3, what is the total vertical distance the ball has traveled when it bounces for the 6th time?

a. 8.877

b. 11.877

c. 23.754

d. 20.754

5) (V.B.3)Matthew is trying to save money for the down payment on a used car. His parents have said that in an effort to help him put aside money, they will pay him 12% interest on the money Matthew accumulates each month. At the moment he has saved $175. How much money will Matthew have in one year with only the addition of interest paid by his parents?

a. $681.80

b. $1,560,317,578,444,800

c. $.00000000156

d. $252

6) (V.B.3)How long will it take Matthew to save $3000 for a car?

a. 24 months

b. 26 months

c. 1 month

d. He will never save $3000

7) (VII.A.2) Samantha is considering investing $1000 in a savings account that earns 3.55% interest and compounds annually. Which of the following function rules would appropriately model Samantha’s investment?

a. f(x) =3.55x + 1000

b. f(x) = 3.55(1000)x

c. f(x) = 1000(.355)x

d. f(x) = 1000(1 + .355)x

8) (VII.A.3) Suppose you invest $2,400 into a savings account with 3.95% annual interest rate that compounds quarterly. What would your investment be worth in 10 years?

a. $3555.60

b. $2400

c. $11,303

d. $2647.80

9) (VII.B.1) Tommy wants to save $1 million for retirement in 50 years. Assume he invests in a account that earns 4.8% interest. How much does Tommy need to save today to reach his retirement goal?

a. $6.07

b. $819,057.44

c. $95,925.90

d. $9592.59

10) (VII.B.2) Sara wants to find the future value of an investment of $10000 that earns 6.25% compounded quarterly for 30 years. Use the TVM solver to find the value of Sara’s investment.

a. $222,165.46

b. $64,269.64

c. $15,922.14

d. $14,436,856.73

11) (VII.C.1) Chris is 25 years old and plans to invest in an annuity earning 5% interest compounded annuals. She plans to save $1500 a year to pay into her annuity. Use the TVM solver to calculate the future value of the investment after 40 years.

a. $181,199.66

b. $77,234.34

c. $135,480.46

d. $113,803.59

12) (VII.C.1) If Chris needs to have $950,000 for retirement in 40 years, how much money does he need to pay into the annuity annually?

a. $424.69

b. $25,268.19

c. $1051.81

d. $10,518.12

13) (VII.C.2) Regina, who is 25 years old, has $25,000 to create her investment portfolio. She plans to invest 75% in stocks, 15% in bonds, and 10% in cash accounts. She plans on keeping her investment for 30 years. If stocks have an average annual rate increase of 12%, bonds have an average annual rate increase of 6%, and cash has an average annual rate increase of 3%. What will be the value of each category after 30 years.

a. Stocks: $18,750; Bonds: $3,750; Cash: $2500

b. Stocks: $25,272; Bonds: $5,054.43; Cash: $3369.62

c. Stocks: $561,748.54; Bonds: $112,349.71; Cash: $74,899.81

d. Stocks: $989,992.87; Bonds: $197,998.57; Cash: $131,999.05

14) (VII.C.2) What is the expected value of each category if the probability of realizing the average rate for stocks is 0.65, bonds 0.8, and cash 0.95?

a. Stocks: $12,187.50; Bonds: $3000; Cash: $2375

b. Stocks: $16,426.80; Bonds: $4043.54; Cash: $3201.14

c. Stocks: $365,136.55; Bonds: $89,879.77; Cash: $71,154.82

d. Stocks: $643,495.37; Bonds: $158,398.86; Cash: $125,399.10

15) (VII.D.1) Jorge has a credit card debt of $7,600.97. Jorge’s credit card has an APR of 23.99% and asks that Jorge makes a minimum payment of 3.5% of his balance. For Jorge’s current balance, what is the minimum payment he must make to the credit card company each month?

a. $2280.29

b. $266.03

c. $228.03

d. $2660.34

16) (VII.D.1) If Jorge pays the minimum payment each month how many months will it take Jorge to pay off his balance, assuming he doesn’t make any more charges to his credit card (assume the card compounds monthly)?

a. About 43 months

b. About 23 months

c. About 29 months

d. About 30 months

17) (VII.D.1) When Jorge finally pays off the balance by making only the minimum payment, about how much money will Jorge have paid in interest?

a. $1482.28

b. $113.90

c. $379.93

d. $3838.32

18) (VIII.A.1)When looking at a complex graph what is the quickest way to see if the graph is an Euler circuit?

a. Try to find a path that passes through each vertex exactly once and returns to the original vertex

b. Check the degree of each vertex, if any of the vertices have an odd degree then the graph is an Euler circuit.

c. Check the degree of each vertex, if all of the vertices have an even degree then the graph is an Euler circuit.

d. Check the degree of each vertex, if at least one of the vertices have an even degree then it is an Euler circuit.

19) (VIII.A.1)Which of the following represents an Euler circuit?

[pic]

20) (VIII.A.3) A path that starts and stops at the same vertex and goes through each vertex once is called a Hamiltonian circuit. Which of the following conjectures is always true about a Hamiltonian Circuit?

a. Graphs with an even number of vertices form a Hamiltonian Circuit.

b. Graphs with all vertices of the same degree form a Hamiltonian Circuit.

c. Graphs with all vertices of an even degree form a Hamiltonian Circuit.

d. There is no single distinguishing feature that can guarantee the existence of a Hamiltonian Circuit.

21) (VIII.A.3)Which of the following graphs does not represents a Hamiltonian Circuit?

A) Graph I

B) Graph II

C) Graph III

D) Graph IV

22) (VII.B.1)Your company must run Ethernet cables to five different offices so that all five offices have high-speed internet access. For each computer to be on the office network, there must be a way to get from each computer to the other computers by following a cable. Which of the following networks does not represent the most efficient way to run the cable?

23) (VIII.C.1) There is a mathematical theorem that states: When coloring a map, every map can be colored with ____________ colors __________ are never needed.

a. Two, Three

b. Three, Four

c. Four, Five

d. Five, Six

24) (VIII.C.2)Which of the following graphs represents the graph shown below?

[pic]

25) True or False: I currently attend Churchill High School.

a. True

b. False

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