The owner of a local cinema is considering a plan for renovating and improving the theater, which requires an immediate cash outlay of $$170,000.$ It has been estimated that adopting such a plan would result in a net income stream generated at the rate of

g$($t$)=520,000$

dollars per year for the next $3$ years. If the prevailing interest rate for the next $3$ years is $10\%$ per year, then the net income by the end of $3$ years is given by

$3$

$520,000$e$0\mathrm{.}1$t dt

$0$

$170,000.$

Evaluate the net income. $($Round your answer to the nearest dollar.$)$

$