If the reserve rate is 4 and a bank receives a deposit of 12000 how much of the 12000 is the bank free to loan out?

If the reserve rate is 4%, the bank must hold 4% of the deposit as reserves. For a deposit of $12,000, the required reserves would be $480 (4% of $12,000). Therefore, the amount the bank is free to loan out is $11,520 ($12,000 - $480).