Your company sponsors a $401($k$)$ plan into which you deposit $10$ percent of your $$125,000$ annual income. Your company matches $75$ percent of the first $10$ percent of your earnings. You expect the fund to yield $12$ percent next year. Assume you are currently in the $31$ percent tax bracket.

a$.$ What is your annual investment in the $401($k$)$ plan? $($Round your answer to the nearest whole number. $($e$.$g$.,32))$

b$.$ What is your one$-$year return?