A $209,800 mortgage for 30 years for a new home is obtained at the rate of 6.5% compounded monthly. Find (a) the monthly payment, (b) the interest in the first payment, (c) the principal repaid in the first payment, and (d) the finance charge. (a) The monthly payment on the mortgage is $ (Round the final answer to two decimal places as needed. Round all intermediate values to six decimal places as needed.) A couple wants to purchase a new house and feel that they can afford a mortgage payment of $500 a month. They are able to obtain a 20-year 7.9% mortgage (compounded monthly) but must put down 30% of the cost of the house. Assuming that they have enough savings for the down payment, how expensive a house can they afford? The couple can afford a house that costs up to $ (Round the final answer to the nearest dollar as needed. Round all intermediate values to six decimal places as needed.)