1. **State the problem:** We need to find the current value of Peter's house given his net worth and other asset and liability values.
2. **Formula:** Net worth is calculated as the sum of all assets minus all liabilities:
$$\text{Net Worth} = \text{Assets} - \text{Liabilities}$$
3. **Identify assets and liabilities from the table:**
- Assets: House (unknown), Checking account 900, Automobile 16900, Investments 4500, Savings account 1200
- Liabilities: Credit-card debt 3400, Student loans 16300
4. **Set up the equation:**
$$\text{Net Worth} = \text{House} + 900 + 16900 + 4500 + 1200 - (3400 + 16300)$$
5. **Substitute the known net worth:**
$$101800 = \text{House} + 900 + 16900 + 4500 + 1200 - 19700$$
6. **Simplify the right side:**
$$101800 = \text{House} + (900 + 16900 + 4500 + 1200) - 19700$$
$$101800 = \text{House} + 23500 - 19700$$
$$101800 = \text{House} + 3800$$
7. **Solve for House value:**
$$\text{House} = 101800 - 3800$$
$$\text{House} = 98000$$
8. **Check the answer:** The calculated house value is 98000, but the given option is 58600, so let's re-check calculations carefully.
Recalculate sum of assets excluding house:
$$900 + 16900 + 4500 + 1200 = 23500$$
Sum of liabilities:
$$3400 + 16300 = 19700$$
Net worth formula:
$$101800 = \text{House} + 23500 - 19700$$
$$101800 = \text{House} + 3800$$
$$\text{House} = 101800 - 3800 = 98000$$
Since 98000 is not among the options, the problem might have a typo or the net worth is different. However, based on the data, the house value is $98000.
**Final answer:** The current value of Peter's house is **98000**.
Net Worth 9E6336
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.