Miranda and Francesca plan to purchase a home for $233,000. They will pay 20% down and finance the remainder for 30 years at the APR of 7.1%, compounded monthly.

a) How large are the monthly payments? $

b) What will be their loan balance right after they have made their 36th payment? $

c) How much interest will they pay during the 3rd year of the loan? $

d) If they were to increase their montly payments by $120, how long would it take to pay off the loan? Give your answer in whole months.