To determine Lana's net worth, we'll need to calculate her total assets and total liabilities first. Let's break it down step by step:
### Step 1: Calculate Total Assets
Lana has the following assets:
- House: \[tex]$325,000
- Guitar: \$[/tex]750
- Car: \[tex]$15,000
- Stock investments: \$[/tex]8,000
- Savings account: \[tex]$2,100
To find the total assets, we sum these values:
\[
\text{Total Assets} = \$[/tex]325,000 + \[tex]$750 + \$[/tex]15,000 + \[tex]$8,000 + \$[/tex]2,100 = \[tex]$350,850
\]
### Step 2: Calculate Total Liabilities
Lana has the following liabilities:
- Mortgage: \$[/tex]245,000
- Car loans: \[tex]$9,000
To find the total liabilities, we sum these values:
\[
\text{Total Liabilities} = \$[/tex]245,000 + \[tex]$9,000 = \$[/tex]254,000
\]
### Step 3: Calculate Net Worth
Net worth is calculated by subtracting the total liabilities from the total assets:
[tex]\[
\text{Net Worth} = \text{Total Assets} - \text{Total Liabilities} = \$350,850 - \$254,000 = \$96,850
\][/tex]
### Conclusion
Thus, Lana's net worth is:
[tex]\[
\boxed{\$96,850}
\][/tex]
The correct answer from the provided options is \$96,850.
