Answered

The following table shows the assets and liabilities of the Smith family in 2005 and 2009.

\begin{tabular}{|l|l|}
\hline 2005 & 2009 \\
\hline home valued at [tex]$\$[/tex]200,000[tex]$ & home valued at $[/tex]\[tex]$180,000$[/tex] \\
\hline mortgage of [tex]$\$[/tex]30,000[tex]$ & home equity loan of $[/tex]\[tex]$18,000$[/tex] \\
\hline car valued at [tex]$\$[/tex]25,000[tex]$ & car valued at $[/tex]\[tex]$18,000$[/tex] \\
\hline car loan of [tex]$\$[/tex]8,000[tex]$ & boat valued at $[/tex]\[tex]$20,000$[/tex] \\
\hline & personal loan of [tex]$\$[/tex]5,000$ \\
\hline
\end{tabular}

Based on the table, which of the following is true?

A. From 2005 to 2009, both assets and liabilities decreased.
B. From 2005 to 2009, both assets and liabilities increased.
C. From 2005 to 2009, assets decreased and liabilities increased.
D. From 2005 to 2009, assets increased and liabilities decreased.

Please select the best answer from the choices provided.



Answer :

Let's analyze the given data from the table to determine the changes in assets and liabilities from 2005 to 2009.

First, let's calculate the total assets and liabilities for 2005 and 2009.

### Assets in 2005:
- Home: \[tex]$200,000 - Car: \$[/tex]25,000

Total assets in 2005 = \[tex]$200,000 + \$[/tex]25,000 = \[tex]$225,000 ### Liabilities in 2005: - Mortgage: \$[/tex]30,000
- Car loan: \[tex]$8,000 Total liabilities in 2005 = \$[/tex]30,000 + \[tex]$8,000 = \$[/tex]38,000

### Assets in 2009:
- Home: \[tex]$180,000 - Car: \$[/tex]18,000
- Boat: \[tex]$20,000 Total assets in 2009 = \$[/tex]180,000 + \[tex]$18,000 + \$[/tex]20,000 = \[tex]$218,000 ### Liabilities in 2009: - Home equity loan: \$[/tex]18,000
- Personal loan: \[tex]$5,000 Total liabilities in 2009 = \$[/tex]18,000 + \[tex]$5,000 = \$[/tex]23,000

Now, let's compare the total assets and liabilities between 2005 and 2009:

### Change in Assets:
- Total assets in 2005: \[tex]$225,000 - Total assets in 2009: \$[/tex]218,000

Assets change = \[tex]$218,000 - \$[/tex]225,000 = -\[tex]$7,000 ### Change in Liabilities: - Total liabilities in 2005: \$[/tex]38,000
- Total liabilities in 2009: \[tex]$23,000 Liabilities change = \$[/tex]23,000 - \[tex]$38,000 = -\$[/tex]15,000

We see that from 2005 to 2009:
- Assets decreased (by \[tex]$7,000) - Liabilities decreased (by \$[/tex]15,000)

Thus, the correct statement is:

a. From 2005 to 2009, both assets and liabilities decreased.

Hence, the best answer from the choices provided is: A