(4 points) Fifteen years ago a couple purchased a house for $130,000.00 by paying a 20% down payment and financing the remaining balance with a 30-year mortgage at 4.64% compounded monthly. (a) Find the monthly payment for this loan. (Note: Your answer should include a dollar sign and be accurate to two Monthly Payment: 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 14 years After 13 years %3 %3 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 Paid During 14th year: (Note: Your answer should include a dollar sign and be accurate to two decimal places) (4 points) Fifteen years ago a couple purchased a house for $130,000.00 by paying a 20% down payment and financing the remaining balance with a 30-year mortgage at 4.64% compounded monthly. (a) Find the monthly payment for this loan. (Note: Your answer should include a dollar sign and be accurate to two Monthly Payment: 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 14 years After 13 years %3 %3 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 Paid During 14th year: (Note: Your answer should include a dollar sign and be accurate to two decimal places)