9. A family borrows $200,000 to buy a house. The family is to repay the debt in 30 years with equal monthly payments. The interest rate is 6% per year.

a. Find the monthly payments.

b. How much of the first months payment was interest and how much was principal?

c. What total amount did the family pay over 30 years and find the total interest paid over 30years.

d. What are the balance and the principal paid of the loan after paying 25 years?

e. What are the balance and the principal paid of the loan after paying 29 years?