A business is planningto purchase a piece of equipment that will produce a continuous stream of income for $7$ years with rate of flow $f(t)=13600.$ Assume the continuous income stream earns $6\mathrm{.}9\%,$ compounded continuously.

A$.$ Find the future value of $f(t)$ after $7$ 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 present value of the continuous income streart. That is$,$ what single deposit into an account earning the same interest rate will produce the same future value as the continous income stream?

In order to match the $ $q,$ that will be earned by the continous income stream over $$ years, you would need a present value $($a single deposit$)$ of $

$($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.)$