(Compounding using a calculator and annuities due) Imagine that Homer Simpson actually invested $100,000 9 years ago at a 13 percent annual interest rate. If he invests an additional $1,800 a year at the beginning of each year for 15 years at the same 13 percent annual rate, how much money will Homer have 15 years from now?

a. If Homer invested $100,000 9 years ago at a 13 percent annual interest rate, what is the future value of this investment 15 years from now? ____ (Round to the nearest cent.)

b. If Homer invests an additional $1,800 a year at the beginning of each year for 15 years at the same 13 percent annual rate, what is the future value of this investment 15 years from now? ____ (Round to the nearest cent.)

c. How much money will Homer have 15 years from now? ______ (Round to the nearest cent.)