Your have just sold your house for $$1,100,000$ in cash. Your mortgage was originally a$30-$year mortgage with monthly payments and an initial balance of $$750,000.$ The mortgage is currently exactly $18\mathrm{.}50$ years$$old$,$ and you have just made a payment. If the interest rate on the mortgage is $6\mathrm{.}25\%($APR$),$ how much cash will you have from the sale once you pay off the$$mortgage$?$

The discount rate is $\_\_\%$ per month. $($Round to five decimal$$places$.)$

The monthly mortgage payment is $$$$\_\_\_.($Round to the nearest$$cent$.)$

The remaining balance is $$$$\_\_.($Round to the nearest$$dollar$.)$

The cash that remains after payoff of the mortgage is $$$$\_\_.($Round to the nearest$$dollar$.)$