To determine Fiona's new balance after writing a check for \[tex]$89.56 to the veterinarian, we need to start with her initial balance and then subtract the amount of the check.
1. Identify the initial balance:
Fiona's initial balance is \$[/tex]2,324.41.
2. Identify the amount of the check:
The check written to the veterinarian is for \[tex]$89.56.
3. Perform the subtraction:
\[
\text{New Balance} = \text{Initial Balance} - \text{Check Amount}
\]
\[
\text{New Balance} = \$[/tex]2,324.41 - \[tex]$89.56
\]
4. Calculate the new balance:
By subtracting the check amount from the initial balance, we find:
\[
\text{New Balance} = \$[/tex]2,324.41 - \[tex]$89.56 = \$[/tex]2,234.85
\]
Therefore, after recording the transaction of the check written to the veterinarian, Fiona's new balance will be [tex]\(\$2,234.85\)[/tex].