You are considering purchasing a house that costs $$350,000.$ You must make a down payment

of $15\%$ of the value of the house. Four percent of the purchase price less the down payment

will be added to the total amount borrowed in order to cover the closing costs. The total loan

balance may be borrowed over $30$ years at $7\mathrm{.}25\%$ interest. Calculate the monthly payment for the

mortgage.