(4 points) Fifteen years ago a couple purchased a house for $250,000.00 by paying a 20% down payment and financing the remaining balance with a 30-year mortgage at 6% compounded monthly (a) Find the monthly payment for this loan. Monthly Payment: !!! (Note: Your answer should include a dollar sign and be accurate to two decimal places) (b) Find the balance of the loan after 13 years and after 14 years? Let n be how many payments are left on the loan. After 13 years After 14 years Loan Balance: !! Loan Balance: (Note: The balance amounts should include a dollar sign and be accurate to two decimal places) (c) Find the total amount of interest paid by the couple during the 14th year. Interest Pald During 14th year HII (Note: Your answer should include a dollar sign and be accurate to two decimal places)