Use the following to answer $19-20$;

You are going to receive a $$16,000$ scholarship at the end of $3$ years for graduate school.

$ How much must the scholarship fund invest today so it has the money to pay you in $3$

years if it can earn $9\%$ compounded semi$-$annually $($round to nearest dollar$)?$

$ How much must the scholarship fund invest today so it has the money to pay you in $3$

years if it can earn $9\%$ compounded quarterly $($round to nearest dollar$)?$