Maple may be used for problems # 1 and 3. 1. Suppose you buy a house for $600,000. After putting a down payment of $60,000 you take out a mortgage for the remaining $540,000 at an interest rate of Us 4.5% per year e matrices (and document your work) to determine (20 pts) a. the monthly payment that will pay off your loan in 30 years. b. the monthly payment that will pay off your loan in 20 years. c. the amount outstanding on the loan in part (a) after 25 years