1. A man is paying off a debt of $15,000 with regular payments of $300 at the end of each month. Annual interest is 18% compounded monthly. (a) Find the exact amount of time to at least five decimal places that it will take to pay off this loan. (b) Determine the size of the balloon payment to be made to pay off the loan at the time of the last regular payment. (c) Determine the size of the drop payment which would have to be made one month after the last regular payment. (a) How long would it take to pay off the original debt of $15,000 if the payment at the end of each month were $225