Please help $($Present$-$value comparison$)$ Much to your surprise, you were selected to appear on the TV show "The Price is Right." As a result of your prowess in identifying how many rolls of toilet paper a

typical American family keeps on hand, you win the opportunity to choose one of the following: $$1,100$ today, $$10,000$ in $12$ years, or $$31,000$ in $22$ years. Assuming that you can earn $11$ percent on

your money, which should you choose?

If you are offered $$10,000$ in $12$ years and you can earn $11$ percent on your money, what is the present value of $$10,000?$

$$2,858\mathrm{.}41($Round to the nearest cent.$)$

If you are offered $$31,000$ in $22$ years and you can earn $11$ percent on your money, what is the present value of $$31,000?$

$$3,120\mathrm{.}73($Round to the nearest cent.$)$

Which offer should you choose? $($Select the best choice below.$)$

A$.$ Choose $$31,000\mathrm{.}00$ in $22$ years because its present value is the highest.

B$.$ Choose $$1,100\mathrm{.}00$ today because its present value is the highest.

C$.$ Choose $$10,000\mathrm{.}00$ in $12$ years because its present value is the highest.