Let's go through the checking account balancing step-by-step to determine how much money is left in the account.
1. Initial Balance:
- The opening balance of the account is \[tex]$5581.22.
2. Check Amounts:
- Check 101: \$[/tex]27.91
- Check 102: \[tex]$528.81
- Check 103: \$[/tex]265.80
- Check 104: \[tex]$10.00
3. Deposit Amount:
- Deposit made on 7/31: \$[/tex]310.67
4. Calculating Total Amount of Checks Written:
To find the total amount spent via checks:
[tex]\[
\$27.91 + \$528.81 + \$265.80 + \$10.00 = \$832.52
\][/tex]
5. Calculating the Final Balance:
We need to subtract the total amount of checks written from the initial balance, and then add the deposit to it:
[tex]\[
\text{Initial Balance} - \text{Total Checks} + \text{Deposit}
\][/tex]
Substituting the values:
[tex]\[
5581.22 - 832.52 + 310.67 = 5059.37
\][/tex]
Therefore, the final balance in the checking account after accounting for the checks written and the deposit made is \[tex]$5059.37.
So, by following the steps to balance the checking account, you find that the account has \$[/tex]5059.37 remaining.