Shaylea, age $22,$ just started working full$-$time and plans to deposit $$5,000$ annually into an IRA earning $8$ percent interest compounded annually. How much would she have in $20$ years, $30$ years, and $40$ years? If she changed her investment period and instead invested $$416\mathrm{.}67$ monthly, and the investment also changed to monthly compounding, how much would she have after the same three time periods? Comment on the differences over time.

Click the table icon to view the future value FVIFA table:

With annual investments and compounding, after $20$ years, Shaylea would have $$228,810.($Round to the nearest cent.$)$

With annual investments and compounding, after $30$ years, Shaylea would have $$566,415.($Round to the nearest cent.$)$

With annual investments and compounding, after $40$ years, Shaylea would have $$1,295,285.($Round to the nearest cent.$)$

With monthly investments and monthly compounding interest, after $20$ years, Shaylea would have $

$($Round to the nearest cent.$)$

Please help with the monthly investments and monthly compounding interest after $20$ years, $30$ years and $40$ years.

And if you could please show work