You graduate from LSU after four years with incredible memories and all the necessary skills for

a successful career in Business. However, you also carry about $$60,000$ in student loans that you

need to plan for. Assume that the interest rate is fixed at $8\%$ per year with monthly compounding.

$1.$ How much should you pay every month to fully repay your student loans in $10$ years $($with

monthly compounding$)?$

$2.$ How much should you pay every month to fully repay your student loans in $20$ years $($with

monthly compounding$)?$

$3.$ You get a $$30,000$ signing bonus from your first job. Suppose that instead of buying a fancy

car, you decide to use the money to partially repay your loans. In that case, how much should

you pay every month to fully repay the remainder of your student loans in $10$ years? $($with

monthly compounding$)$