Suppose you want to purchase a house. Your take-home pay is $3900 per month, and you wish to stay within the recommended guidelines for mortgage amounts by
only spending 1/4 of your take-home pay on a house payment. You have $17,800 saved for a down payment and you can get an APR from your bank of 5.25%, compounded monthly. What is the total cost of a house you could afford with a 15-year mortgage? Round your answer to the nearest cent if necessary.