$($Compound value solving for n$)$ How many years will the following take?

a$.$ $$500$ to grow to $$1,039\mathrm{.}50$ if invested at $5$ percent compounded annually

b$.$ $$35$ to grow to $$53\mathrm{.}87$ if invested at $9$ percent compounded annually

c$.$ $$100$ to grow to $$298\mathrm{.}60$ if invested at $20$ percent compounded annually

d$.$ $$53$ to grow to $$78\mathrm{.}76$ if invested at $2$ percent compounded annually?

$($Future value$)$ Giancarlo Stanton hit $59$ home runs in $2017.$ If his home$-$run output

grew at a rate of $12$ percent per year, what would it have been over the following

$5$ year?

$($Solving for r in compound interest$)$ If you were offered $$1,079\mathrm{.}50$ ten years from

now in return for an investment of $$500$ currently, what annual rate of interest would

you earn if you took the offer?