Question: You have just sold your house for $$1,000,000$ in cash. Your mortgage was originally a $30-$year mortgage with monthly payments and an initial balance of $$800,000.$ The mortgage is currently exactly $18\mathrm{.}5$ years old, and you have just made a payment. If the interest rate on the mortgage is $7\mathrm{.}75\%($APR with semi$-$annual compounding$),$ how much cash will you have from the sale once you pay off the mortgage?

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