\begin{tabular}{|c|c|c|c|}
\hline \multicolumn{4}{|c|}{\begin{tabular}{l}
Lana Nguyen's Net Worth \\
(Jan 1, 2014)
\end{tabular}} \\
\hline \multicolumn{2}{|c|}{ Assets } & \multicolumn{2}{|c|}{ Liabilities } \\
\hline \multicolumn{2}{|c|}{ ??? } & \multicolumn{2}{|c|}{ ??? } \\
\hline Total & ? & Total & [tex]$?$[/tex] \\
\hline Net & & & \\
\hline
\end{tabular}

Lana owns a house worth [tex]$\$[/tex]325,000[tex]$ and has a mortgage of $[/tex]\[tex]$245,000$[/tex]. She owns a guitar worth [tex]$\$[/tex]750[tex]$. She also owns a car worth $[/tex]\[tex]$15,000$[/tex] and has [tex]$\$[/tex]9,000[tex]$ in car loans. She has $[/tex]\[tex]$8,000$[/tex] in stock investments and [tex]$\$[/tex]2,100[tex]$ in a savings account.

What is Lana's net worth?

A. $[/tex]\[tex]$83,750$[/tex]

B. [tex]$\$[/tex]96,850[tex]$

C. $[/tex]\[tex]$254,000$[/tex]

D. [tex]$\$[/tex]350,850$



Answer :

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.