If you set aside $$6,000$ per year $($i$.$e$.,$ one deposit of $$6,000$ each year$)$ in a Roth IRA for the next $18$ years $($the first

contribution is to be made exactly one year from now, so use an ordinary annuity setup$),$ how much will you have at

your retirement in $18$ years if your IRA earns $10\%$ APR, compounded quarterly?