You have $$12,000$ in cash. You can deposit it today in a mutual fund earning $8\mathrm{.}90$ percent semiannually, or you can wait, enjoy some of

it$,$ and invest $$11,000$ in your brother's business in two years. Your brother is promising you a return of at least $11\mathrm{.}60$ percent on your

investment. Whichever alternative you choose, you will need to cash in at the end of $10$ years. Assume your brother is trustworthy and

both investments carry the same risk. Also assume you will not invest the $$11,000$ in the first two years. $($Round intermediate

calculations to $6$ decimal places, e$.$g$.2\mathrm{.}512512$ and final answers to $2$ decimal places, e$.$g$.2,515\mathrm{.}25.)$

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What would be the future value of the mutual fund investment?

Future value of investment $,$$

What would be the future value of investing in your brother's business?

Future value of investment $,$$

Which one would yield the largest amount in $10$ years?