Challenge Problem 15-22 (Algo) [LU 15-1 (2,3)] Sharon Fox decided to buy a home in Marblehead, Massachusetts, for $281,000. Her bank requires a 30% down payment. Sue Willis, an attorney, has notified Sharon that besides the 30% down payment there will be the following additional costs: (Use Table 15.1.) Other closing expenses include a transfer tax of 1.8% of the purchase price and a loan origination fee of 2.5% of the mortgage amount Assume a 20-year mortgage at a rate of 385%. a. What is the initial amount of cash Sharon will need? Note: Do not round intermediate calculations. Round your answer to the nearest cent. b. What is her monthly payment? Note: Do not round intermediate calculations. Round your answer to the nearest cent. c. What is the total cost of interest over the life of the mortgage? Note: Use 360 days a year. Do not round intermediate calculations. Round your answer to the nearest cent