math assignment

MAT1009 Exam 3_v2

MAT1009 Exam 3 Name ________________________________________ 1. Pam buys 4 new albums every week. She currently has 50 albums.

a) Write a recursive formula for the number of albums Pam has.

b) Write an explicit formula for the number of albums Pam has.

2. A three year old girl is 28 inches tall. She grows 2 inches a year. In how many years will she be 50 inches?

MAT1009 Exam 3_v2

3. In 2014, ABC College enrolled 100 students. If the enrollment grows 4% per year. Find the enrollment number in 2018.

4. Solve 10X = 1000

MAT1009 Exam 3_v2

5. Using 4% simple interest paid annually, how much money would you have after 3 years, if you originally had $100. How much interest do you have?

6. You deposit $100 in an account earning 3% compounded annually. How much money will you have in 10 years and how much interest will you earn?

MAT1009 Exam 3_v2

7. You deposit $100 in an account earning 3% compounded monthly. How much money will you have in 10 years and how much interest will you earn?

8. You have $100,000 saved for retirement. Your account earns 3% interest. How much will you be able to pull out each month, if you want to be able to take withdrawals for 20 years?

MAT1009 Exam 3_v2

9. You deposit $100 each month into an account earning 3% compounded monthly. How much will you have in the account in 20 years, and how much money will you put into the account?

10. You wish to have $3000 in 2 years to buy a television. How much should you deposit each quarter into an account paying 3% compounded quarterly?

MAT1009 Exam 3_v2

11. Evaluate log(50).

12. Rewrite log(25) using the exponent property for logs.

13. If Saint Cloud is growing according to the equation Pn = 200(1.03)n where n is years after 2010, and the population is measured in thousands. Find when the population will be 400 thousand.

MAT1009 Exam 3_v2

14. If you invest $2000 at 5% compounded monthly, how long will it take to triple in value?

15. Find the 4th root of 20.

MAT1009 Exam 3_v2

16. Use the initiator and generator below to generate the next two stages of the iterated fractal.

17. Use the initiator and generator below to generate the next two stages of the iterated fractal.

MAT1009 Exam 3_v2

18. Determine the dimension of your fractal generated in problem 2.

19. Plot each number in the complex plane. a) 2 b) 2i c) -2 + 2i d) 2 – 2i

MAT1009 Exam 3_v2

20. Compute (3+i) + 3(2 + 2i) + 4i(2i).

21. Use the Caesar cipher with a shift of 2 to encrypt the message “I love math”

MAT1009 Exam 3_v2

22. Compute 25 mod 3.

23. Use the substitutional mapping below to encrypt the message “December 25, 2018”

Original: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z o 1 2 3 4 5 6 7 8 9

Maps to: 2 B Q F 5 W R T D8 I J 6 H L C O S U V K3 A 0 X 9 Y Z N 1 G 4 ME7 P

MAT1009 Exam 3_v2

24. Use the substitution mapping in problem 8 to decrypt the message 52UV5S.

25. Encrypt the message “Liberal Arts Math” using a transposition cipher with rows 6 characters long.