Mr. Johnson has a thirty-year mortgage with end-of-month payments. It has a nominal quarterly interest rate of 4.4% during the first three years and a nominal monthly interest rate of 5.7% for remaining twenty-seven years. The repayment schedule shows level payments except for a final, slightly reduced payment. The amount financed is $180,000.
a) Find the amount of each of the first 359 payments.
b) If Mr. Johnson sold the house just after his 36th payments for $200,000.00, how large a check did he receive?