To determine the banker’s net worth after paying off the student loans, we must follow a step-by-step process to account for all assets and liabilities correctly.
### Step 1: Recall the list of assets and liabilities
#### Assets:
- Car Value: \[tex]$29,850
- Savings Account Balance: \$[/tex]12,409
- Treasury Bonds: \[tex]$10,000
- Checking Account Balance: \$[/tex]19,419
- Home Value: \[tex]$194,450
#### Liabilities:
- Car Loan: \$[/tex]10,560
- Student Loans: \[tex]$13,824 (to be paid off)
- Credit Card Balance: \$[/tex]8,051
### Step 2: Calculate Total Assets
Sum up all the assets:
[tex]\[
\text{Total Assets} = 29,850 + 12,409 + 10,000 + 19,419 + 194,450 = 266,128
\][/tex]
### Step 3: Calculate Total Liabilities
Sum up all the liabilities but omit the student loan as it will be paid off:
[tex]\[
\text{Total Liabilities} = 10,560 + 8,051 = 18,611
\][/tex]
### Step 4: Calculate Net Worth
Subtract the total liabilities from the total assets to get the net worth after paying off the student loans:
[tex]\[
\text{Net Worth} = \text{Total Assets} - \text{Total Liabilities} = 266,128 - 18,611 = 247,517
\][/tex]
So, the banker's net worth after paying off the student loans is:
[tex]\[
\$247,517
\][/tex]
### Answer
Therefore, the correct option for the total net worth is:
[tex]\[
\$247,517
\][/tex]
