Question $4(30$ points$)$

just graduated from college and got a new job that paid me a signing bonus of

$$7,500$ and will pay me an annual salary of $$79,000($the median for MIS students, as

of the $\text{'}23$ UGA Career Outcomes Survey$).$ The annual salary will be paid in twelve

equal monthly installments.

If I put the $$7,500$ signing bonus into my retirement account today and then save

$15\%$ of my gross pay every month into that same account, how much will I have

saved by the end of my $44$ year working life if I earn $6\mathrm{.}7\%$ APR compounded

monthly? Assume I don't get a promotion or increase my contributions throughout

the entire term.

$$35,849,015$

$$1,276,150$

$$19,973,877$

$$4,289,882$

$$2,849,464$

$$3,026,191$