A loan of $$73,600$ is due $10$ years from today. The borrower

wants to make annual payments at the end of each year into a

sinking fund that will earn compound interest at an annual rate

of $10$ percent.

Required:

a$.$ What will the annual payments have to be$?$

Note: Do not round intermediate calculations and round

your final answer to $2$ decimal places.

b$.$ Suppose the investor makes the payments monthly instead.

How much would they need to pay each month?

Note: Do not round intermediate calculations and round

your final answer to $2$ decimal places.

c$.$ If payment was made by making monthly payments with

monthly compounding then how less they will pay in a year?

Note: Do not round intermediate calculations and round

your final answer to $2$ decimal places.