You are thinking of purchasing a house. The house costs $ $400$ comma $000$$$400,000.$ You have $ $57$ comma $000$$$57,000$ in cash that you can use as a down payment on the$$ house, but you need to borrow the rest of the purchase price. The bank is offering a $3030-$year mortgage that requires annual payments and has an interest rate of $7\%7\%$ per year. What will be your annual payment if you sign this$$ mortgage?