An investor is presented with a choice of two investments: an established clothing store and a new bookstore. Each choice requires the same intial investment and each produces a continuous income stream of $6\%,$ compounded continuously. The rate of flow of income from the clothing store is $f(t)=62095,$ and the rate of flow of income from the bookstore is expected to be $g(t)=54754e^{-0\mathrm{.}04t}.$

A$.$ Find the future value of $f(t)$ after $6$ years and interpret the result.

The future value of the investment after $$ years is $

$($Round your final answer to $4$ significant figures. For example, an answer like $$1,244,252\mathrm{.}02$ would become $$1,244,000\mathrm{.}00.)$

B$.$ Find the future value of $g(t)$ after $6$ years and interpret the result.

The future value of the investment after $$ years is $ $$

$($Round your final answer to $4$ significant figures. For example, an answer like $$1,244,252\mathrm{.}02$ would become $$1,244,000\mathrm{.}00.)$

C$.$ Which store is the better investment?

The $$ is the better investment because over $$ years it will yield $ $$ more than the other store