Every week for 10 weeks I deposit $10 on Monday, Wednesday, and Friday and withdraw $27.50 on Tuesday and Thursday. do I have a zero balance?

No, you have negative $250, so you probably owe the bank

M, W, F = $10 deposit each

3 days/week = $30 deposit

*10 * 10

30 days = $300 deposit

Tu, Th = - $27.50 withdraw each

2 days/week = - $55 withdraw

*10 * 10

20 days = - $550 withdraw

$300 - $550 = - $250