Congratulations! You just landed your dream job with a starting salary of $$75,000$ per year. Your new employer offers a $401($k$)$ plan and they will match your $4\%$ contributions dollar$-$for$-$dollar. You sign up to contribute $4\%$ of your salary per year, so the company will contribute an additional $4\%,$ and you believe your mix of investments chosen in the plan will earn $6\%$ per year.

How much do you expect to have in your $401($k$)$ account a the end of ten years? Enter as a positive number.

$($to be conservative, you assume your salary stays constant over the $10$ years. contributions will come from your bi$-$weekly paycheck, but for simplicity you assume one payment at every year end.$)$

Group of answer choices

a$.$ $$79,085$

b$.$ $$65,190$

c$.$ $$59,314$

d$.$ $$43,982$