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 7.5% 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.)