D Problem: You have decided to purchase a house for $225,000 nd are evaluating your options for the mortgage. Assume your down payment will be 20% of the purchase price, payment will be made monthly and the first payment will be made one month from today. you must use formulas to solve a. what is the mortgage amount? b. If you select the 30-year mortgage, the interest rate will be 4.5% annually, what is the monthly payment c. Suppose that the bank is also offering a 15-year mortgage at 4.25% annually, What is the monthly payment? d. What is the total of all payments for each mortgage? e. Which mortgage cost you the least over the life of the mortgage