Final answer:
To calculate the new balance, subtract the total purchases from the initial balance and add the total deposits. The correct answer is -$3.63.
Step-by-step explanation:
To calculate the new balance, we need to subtract the total purchases and add the total deposits from the initial bank balance.
Step 1: Subtract the total purchases from the initial balance: $102.25 - $520 - $583.33 - $52.30 = -$53.38.
Step 2: Add the total deposits to the previous result: -$53.38 + $25 + $24.75 = -$3.63.
Therefore, the new balance is -$3.63. Option D, $78.20, is not the correct answer.