After graduation, you plan to work for Dynamo Corporation for $12$ years and then start your own business. You expect to save and deposit $$7,500$ a year for the first $6$ years $($t $=1$ through t $=6)$ and $$15,000$ annually for the following $6$ years $($t $=7$ through t $=12).$ The first deposit will be made a year from today. In addition, your grandfather just gave you a $$32,500$ graduation gift which you will deposit immediately $($t $=0).$ If the account earns $9\%$ compounded annually, how much will you have when you start your business $12$ years from now?

Question $18$Select one:

a$.$

$$269,003$

b$.$

$$292,914$

c$.$

$$298,892$

d$.$

$$286,936$

e$.$

$$310,848$