You borrow $$75,000$ for three years. This is an amortized loan. Payments are the same each month. The loan is fully paid off with the final payment. The quoted interest rate $($or APR$)$ is $9\%$ per year with monthly compounding. Assuming you make all of your payments on time, what is the outstanding balance on the loan right after you have made your $31$st payment $($i$.$e$.,$ with $5$ payments remaining$).$