A family obtains a 30-year mortgage to purchase a home, requiring monthly payments to pay back the loan. With an APR of 6.25%, they can afford to make monthly payments of $2600. Assuming they can make a down payment of $29000 towards the purchase of a new home, use the appropriate amortization formula to determine the most expensive home they can afford to purchase, rounded to the nearest dollar. Don't forget to include the down payment arhount. Enter your answer as an integer and DO NOT include any symbols, You may use the following formula to help you answer this question (you need to know what each variable represents); P=M[i1(1+i)T]