Your employer automatically puts $5$ percent of your salary into a $401(k)$

retirement account each year. The account earns $7\%$ interest. Suppose you

just got the job, your starting salary is $$50000,$ and you expect to receive a

$3\mathrm{.}5\%$ raise each year.

For simplicity, assume that interest earned and your raises are given as

nominal rates and compound continuously.

Find the value of your retirement account after $20$ years

Value $=$$