Billy Goat would like to save $$300,000$ over the next $15$ years. If Billy knows today that he will be given $$60,000$ in $10$ years as part of an inheritance, how much would Billy need to save annually over the next $15$ years assuming he earns $4\%$ interest?

$q,$

$$ $$10,745$

$$ $$11,335$

$$ $$9483$

$$ $$8315$