a. Mary is saving to buy a house. She believes she will need a down payment of at least $60,000 to buy the house she wants. She believes interest rates will remain steady at 3% compounded monthly. She would like to buy the house at the end of 5 years. What monthly payment does Mary need to make? (2 marks) Number b. Mary believes she can actually afford to save $1,000 every month. Assuming the same interest rate, how many months will it take Mary to accumulate at least $60,000 in her account? Enter your answer as a whole number. (2 marks) Number c. Mary's father is an experienced investor. The father thinks he can find investments that will enable Mary to have her down payment in only 2 years. Assuming the same monthly payment of $1,000, what monthly compound rate will Mary's father have to earn to accumulate $60,000, in just 24 months? Express your answer as a nominal rate percentage. You will need to use Excel or a financial calculator for this problem. (2 marks) Number