Your sister just deposited $$14,000$ into an investment account. She believes that she will earn an annual return of $10\mathrm{.}5$ percent for the next $9$ years. You believe that you will only be able to earn an annual return of $9\mathrm{.}8$ percent over the same period. How much more must you deposit today in order to have the same amount as your sister in $9$ years?

Multiple Choice

$$824\mathrm{.}07$

$$2,276\mathrm{.}83$

$$499\mathrm{.}02$

$$769\mathrm{.}13$

$$879\mathrm{.}01$