The Kneuss family purchase a new house. In order to pay for it, they borrowed $200,000 for 30 years at 7.66% compounded monthly.

(a) Find their monthly mortgage payment.

(b) Write out the first two rows of an amortization schedule (corresponding to the first two months of payments).

(c) Assuming they pay the same amount every month, how much will they owe on the loan when there are 10 years remaining?