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Sagot :
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.
### 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.
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