Sure, let's walk through the steps to find Omar's bank balance using the information provided:
1. Initial Balance: Omar started with an initial balance in his checkbook. We are told this initial balance is [tex]$1,186.25.
2. Processing Checks: Omar wrote several checks, reducing his balance for each transaction. The amounts of these checks are:
- $[/tex]250.00
- [tex]$175.50
- $[/tex]320.75
- [tex]$187.25
To find the balance after all checks have been deducted, we sum these values:
\[
250.00 + 175.50 + 320.75 + 187.25 = 933.50
\]
We then subtract this total from the initial balance:
\[
1186.25 - 933.50 = 252.75
\]
So, after processing the checks, Omar's balance is $[/tex]252.75.
3. Processing Deposits: Omar made several deposits, which increased his balance. The amounts of these deposits are:
- [tex]$200.00
- $[/tex]500.00
- [tex]$461.25
To find the new balance after the deposits, we sum these values:
\[
200.00 + 500.00 + 461.25 = 1161.25
\]
We then add this total to the balance after checks:
\[
252.75 + 1161.25 = 1414.00
\]
4. Final Balance: After considering all checks and deposits, Omar's final bank balance is $[/tex]1,414.00
Given the provided options:
- [tex]$761.25
- $[/tex]810.30
- [tex]$814.75
- $[/tex]1,186.25
None of these options match Omar's actual final balance of $1,414.00 based on the ledger activities described.
