Please answer all parts of problem :)

a) You have an opportunity to invest in an investment plan for the next 45 years. This plan will offer compound interest of 8 percent per year for the next 20 years and 11 percent per year for the last 25 years. If you invest $8,000 in this plan today, how much will you accumulate at the end of the 45 years?

Choose the correct answer:

$505,539.84

$501,516.38

$506,570.12

$509,092.54

$592,394.59

b)

Your rich uncle will give you a gift of $6,000 at your graduation one year from now. You will invest this in an investment opportunity that promises to pay 8 percent, compounded annually, until you have $60,000. How long will you need to wait, counting from today, till you accumulate this amount?

Choose the correct answer:

32.08 years

30.92 years

24.55 years

37.57 years

29.92 years

c)

Your fixed deposit account will mature in two years from now and will pay $7,500 to you at that time. After receiving it, you will invest it in another investment at 4.5 percent per year. How much will this new investment be worth ten years from now?

Choose the correct answer:

$10,665.75

$9,110.24

$11,617.07

$10,113.33

$11,428.09

d)

Bank A pays 6 percent simple interest on its savings account balances, whereas Bank B pays 6 percent compounded annually. If you deposited $10,000 in Bank A and another $10,000 in Bank B, how much more money would you earn in Bank B as compared to your balance in Bank A, at the end of 5 years?

Choose the correct answer:

$340.09

$382.26

$450.75

$360.47

$350.14