You open an account and make a deposit today. You plan to make the following withdrawals from the account. The first withdrawal will occur $4$ years from today $($i$.$e$.,$ no withdrawals in years $1,2,$ and $3).$ The remaining withdrawals will be in years $5,6,7,$ and $8$ from now. The annual rate of return is $7$ percent for years $1$ through $3$ and $10$ percent for years $4$ through $8.$ How much do you have to deposit into the account today?

$\backslash$table$[[$Year $($from today$),$Withdrawal$],[4,$$$30,000$