$18.$ After graduation, you plan to work and save for $10$ years and then start your own business. You currently have $$50,000$ which you will invest immediately $($year $0).$ In addition, you expect to save and deposit $$15,000$ a year for the first $5$ years $($year $1$ through year $5)$ and $$10,000$ annually for the following $5$ years $($year $6$ through year $10).$ If the account earns $10\%$ compounded annually, how much will you in your account have when you start your business $10$ years from now

a$.$ $$338,223\mathrm{.}00$

b$.$$$319,586\mathrm{.}87$

c$.$$$247,442\mathrm{.}01$

d$.$$$215,837\mathrm{.}17$

e$.$$$208,535\mathrm{.}87$