1. Brian purchased a new bedroom set for his wife's birthday present. The cost of the bedroom...

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Question:

1. Brian purchased a new bedroom set for his wife's birthday present. The cost of the bedroom set was $1,999 with no payments for six months. However, at the end of six months Brian owes the price of the bedroom set, plus 12% annual interest, compounded monthly. How much interest will Brian pay on his wife's birthday present?

2. Tim put $35,000 in a five-year CD paying 5.75% annual interest, compounded quarterly. What is the total amount Tim will receive when he withdraws his money after five years?

3. Andrew wants to pay off his car. He has a two-year loan at 9% annual interest that is compounded monthly. Andrew must pay $18,700 at the end of the two-year period. How much did Andrew originally borrow?

Please solve each of the following problems showing precision to five decimal places:

1. What is the nominal rate of an investment that returns 9%?

2. What is the periodic rate for a 10% loan compounded monthly?

3. What is the effective rate for each monthly payment of an auto loan when the loan is issued at 13% compounded weekly? (Assume 4.333 weeks per month.)

4. You have decided to start saving for retirement and are making quarterly payments into an account that earns 4.25% with monthly compounding. What effective interest rate is your money earning per quarter?