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 $$30000,$ and you expect to

receive a $2\mathrm{.}5\%$ 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 $15$ years

Value $=$$