In example $6\mathrm{.}2\mathrm{.}4,$ an employee is able to contribute $$125\mathrm{.}25$ to a $100\%$ employer$-$matched $401(k),$ which is invested at an average APR of $6\mathrm{.}3\%$ compounded monthly. After $11$ years, the employee retires.

What is the size of the monthly contribution after the employer match is accounted for?

PMT $=$

What was the future value of the account after $11$ years?

In parts b and c$,$ the account grows for $14$ more years without any additional contributions or withdrawals from the employee.

What future value did the account reach after the extra $14$ years?

How much total interest was earned over the course of the $25$ year investment?

Enter your answer without a dollar sign or comma. For example, $9703\mathrm{.}52$