Tom just graduated and must pay off his student loan of $15,000 that has a nominal annual interest rate (APR) of 5%, is compounded monthly and must be paid semi-annual for 6 years (each occurring at the end of the month). a. Figure Tom's payment. b. Show the loan amortization schedule for the first year. c. For the 10th payment of this loan, what amount is principal? What amount is interest? d. What is the total interest paid over the lifetime of the loan? e. If you want to pay off the remaining loan in lump sum after 3 years, how much would it be