Question $4$

$5$ pts

You currently earn $$70,000$ per year and plan to deposit $10\%$ of your salary in a $401(k)$ account that you expect to earn $10\%$ per year. You also expect that your salary will increase $4\%$ per year. You plan to make a deposit to your account at the end of each year for the next $32$ years. How much money will you have in your account at the end of $32$ years?

Note: Show your answer in units of dollars, use plain numbers with at least two digits after the decimal $($e$.$g$.,$ for $$12,345\mathrm{.}67,$ type $12345\mathrm{.}67).$