Fifteen years ago a couple purchased a house for $160,000.00 by paying a 20 % down payment and financing the remaining balance with a 30-year mortgage at 5.14% compounded monthly. (a) Find the monthly payment for this loan. (b)Find the balance of the loan after 14 years and after 15 years? (c) Find the total amount of interest paid by the couple during the 15th year.