To solve this problem, let's determine the subtotal and then use this information to calculate the cash received.
1. Step 1: Determine the subtotal
- The subtotal is the sum of cash and all the checks.
- Cash = \[tex]$15.00
- Check 1 = \$[/tex]62.44
- Check 2 = \[tex]$271.83
- Check 3 = \$[/tex]45.75
Add them up:
[tex]\[
\text{Subtotal} = 15.00 + 62.44 + 271.83 + 45.75 = 395.02
\][/tex]
2. Step 2: Calculate cash received
- The total amount on the slip is \$62.23.
- Subtract this total from the subtotal to find the cash received:
[tex]\[
\text{Cash received} = \text{Subtotal} - \text{Total} = 395.02 - 62.23 = 332.79
\][/tex]
Therefore, the correct answer is:
[tex]\[\boxed{332.79}\][/tex]
Note: None of the provided options (a, b, c, d) match the calculated cash received value. Please double-check the options or the initial values provided in the problem for any discrepancies.