Corey and Alan plan to purchase a home for $186,000. They will pay 20% down and finance the remainder for 30 years at the APR of 9.4%, compounded monthly. a) How large are the monthly payments? $ I 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 $190, how long would it take to pay off the loan? Give your answer in whole months