A $25-$year$-$old earns $$60,000$ per year. Each year, they will contribute $5\%$ of their annual salary to a retirement account that is expected to earn an average return of $10\%$ per year. Their salary is expected to grow at an average $3\%$ per year.

The worker will retire in $40$ years.

Use this information to answer the next $*2*$ questions.

$1)$Compute the value of the account at retirement.

$2)$Now assume the worker pays a $2\%$ annual fee on this retirement investment.

Compute the value of the account at retirement.