The Beyes plan to purchase a house for $285,000. They will pay 20% down, and finance the remainder for 30 years at 6.9% interest compounded monthly. (a) What is the monthly payment? (b) What is the total amount of interest they will pay over the life of the mortgage? (c) How much of their 1 st payment is towards interest, and how much is applied against the principal of the mortgage? (d) They will consider refinancing their house at the end of year 5. What is their balance owing after five years? (e) How much of the 61 st payment is towards interest, and how much is applied against the principal of the mortgage loan? (Use the annual interest of 6.9% compounded monthly.) (f) Construct an amortization table for the first four payments (do it by hand)