Subjects finance

Net Worth 9E6336

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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**.