You have just sold your house for $$1,100,000$ in cash. Your mortgage was originally a $30-$year mortgage with monthly payments and an initial balance of $$700,000.$ 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? $($Note: Be careful not to round any intermediate steps less than six decimal places.$)$

a$.$ What is the discount rate for the mortgage?

The discount rate for the mortgage is $,\%.($Round to four decimal places.$)$

b$.$ What is the monthly mortgage payment?

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

c$.$ What is the remaining balance on the mortgage?

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

d$.$ How much cash will you have from the sale once you pay off the mortgage?

The amount of cash left over from the sale is $$.($Round to the nearest dollar.$)$