Use the following to answer $1920$:

You are going to receive a $$20,000$ scholarship at the end of $3$ years for graduate school.

$19.$ $$\_\_\_\_\_\_\_\_\_$ How much must the scholarship fund invest today so it has the money to pay you in $3$

years if it can earn $8\%$ compounded semi$-$annually $($round to nearest dollar$)?$

$20.$ $$\_\_\_\_\_\_\_\_\_$ How much must the scholarship fund invest today so it has the money to pay you in $3$

years if it can earn $8\%$ compounded quarterly $($round to nearest dollar$)?$