To determine the dentist's personal net worth after paying off their student loans, we need to subtract their liabilities from their assets.
### Step-by-Step Solution
1. List the Assets:
- Car Value: \[tex]$26,250
- Savings Account Balance: \$[/tex]42,607
- Office Equipment: \[tex]$19,400
- Checking Account Balance: \$[/tex]79,391
- Home Value: \[tex]$218,950
2. Calculate Total Assets:
\[
\text{Total Assets} = \$[/tex]26,250 + \[tex]$42,607 + \$[/tex]19,400 + \[tex]$79,391 + \$[/tex]218,950 = \[tex]$386,598
\]
3. List the Liabilities:
- Car Loan: \$[/tex]4,600
- Credit Card Balance: \[tex]$413
Note: Since the student loans are paid off, we will not include them as a current liability.
4. Calculate Total Liabilities:
\[
\text{Total Liabilities} = \$[/tex]4,600 + \[tex]$413 = \$[/tex]5,013
\]
5. Calculate Net Worth:
[tex]\[
\text{Net Worth} = \text{Total Assets} - \text{Total Liabilities}
\][/tex]
[tex]\[
\text{Net Worth} = \$386,598 - \$5,013 = \$381,585
\][/tex]
Therefore, the dentist's personal net worth, after paying off the student loans, is [tex]\(\$381,585\)[/tex].
Among the provided options, the correct answer is:
[tex]\[
\boxed{\$381,585}
\][/tex]
