You are thinking of purchasing a house. The house costs $$350,000.$ You have $$50,000$ 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 $30-$year mortgage that requires annual payments and has an interest rate of $10\%$ per year. What will be your annual payment if you sign this mortgage?

The annual payment is $$.($Round to the nearest dollar.$)$