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Dante listed his assets and liabilities on a personal balance sheet.

\begin{tabular}{|c|c|c|c|}
\hline \multicolumn{4}{|c|}{Dante's Balance Sheet (August 2013)} \\
\hline Assets & [tex]$\$[/tex] 900[tex]$ & Liabilities \\
\hline cash & $[/tex]\[tex]$ 1,100$[/tex] & student loan & [tex]$\$[/tex] 4,000[tex]$ \\
\hline investments & $[/tex]\[tex]$ 150,000$[/tex] & mortgage & [tex]$\$[/tex] 1,000[tex]$ \\
\hline house & $[/tex]\[tex]$ 8,000$[/tex] & car loan & [tex]$\$[/tex] 5,000[tex]$ \\
\hline car & & Total & \\
\hline Total & & \\
\hline
\end{tabular}

Which statement is true about the value of Dante's assets and liabilities?

A. He has $[/tex]\[tex]$ 50,000$[/tex] more in assets than in liabilities.

B. He has [tex]$\$[/tex] 50,000[tex]$ more in liabilities than in assets.

C. He has $[/tex]\[tex]$ 110,000$[/tex] more in liabilities than in assets.

D. He has [tex]$\$[/tex] 160,000$ more in assets than in liabilities.

Sagot :

GinnyAnsweridn
To determine which statement is true about the value of Dante's assets and liabilities, let's calculate the totals for each.

1. Calculating Total Assets:
- Cash: [tex]\( \$ 1,100 \)[/tex]
- Investments: [tex]\( \$ 150,000 \)[/tex]
- House: [tex]\( \$ 8,000 \)[/tex]
- Car: [tex]\( \$ 0 \)[/tex] (not explicitly listed but assumed as asset value of zero)

Total Assets = [tex]\( \$ 1,100 + \$ 150,000 + \$ 8,000 + \$ 0 = \$ 159,100 \)[/tex]

2. Calculating Total Liabilities:
- Student Loan: [tex]\( \$ 4,000 \)[/tex]
- Mortgage: [tex]\( \$ 1,000 \)[/tex]
- Car Loan: [tex]\( \$ 5,000 \)[/tex]

Total Liabilities = [tex]\( \$ 4,000 + \$ 1,000 + \$ 5,000 = \$ 10,000 \)[/tex]

3. Calculating the Difference Between Assets and Liabilities:
- Difference = Total Assets - Total Liabilities
- Difference = [tex]\( \$ 159,100 - \$ 10,000 = \$ 149,100 \)[/tex]

Given this difference, we examine the statements:

- He has \[tex]$ 50,000 more in assets than in liabilities. (Incorrect, the difference is larger) - He has \$[/tex] 50,000 more in liabilities than in assets. (Incorrect, he has more assets)
- He has \[tex]$ 110,000 more in liabilities than in assets. (Incorrect, he has more assets) - He has \$[/tex] 160,000 more in assets than in liabilities. (Incorrect, the difference is less)

Since none of the provided statements exactly match the calculated difference, the correct interpretation is that based on the given data, the actual difference is:

Dante has [tex]\( \$ 149,100 \)[/tex] more in assets than in liabilities.
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