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Select the correct locations in the table.

The table shows the federal government's budgeted revenue and expenditures from 2001 through 2010. Identify the years in which there was a budget surplus.

[tex]\[
\begin{tabular}{|l|l|l|}
\hline
Year & Revenue & Expenditure \\
\hline
2001 & \$8 trillion & \$6 trillion \\
\hline
2002 & \$5 trillion & \$7 trillion \\
\hline
2003 & \$8 trillion & \$10 trillion \\
\hline
2004 & \$9 trillion & \$7 trillion \\
\hline
2005 & \$15 trillion & \$18 trillion \\
\hline
2006 & \$8 trillion & \$10 trillion \\
\hline
2007 & \$6 trillion & \$4 trillion \\
\hline
2008 & \$2 trillion & \$4 trillion \\
\hline
2009 & \$7 trillion & \$4 trillion \\
\hline
2010 & \$5 trillion & \$9 trillion \\
\hline
\end{tabular}
\][/tex]

A budget surplus occurred in the years where revenue exceeded expenditure.

Answer :

To determine the years with a budget surplus, we compare the federal government's revenue with its expenditures for each year and identify when the revenue is greater than the expenditure. A surplus occurs when

[tex]$$
\text{Revenue} > \text{Expenditure}.
$$[/tex]

Let's analyze the data year by year:

1. For 2001:
Revenue = \[tex]$8 trillion
Expenditure = \$[/tex]6 trillion
Since \[tex]$8 trillion \(>\) \$[/tex]6 trillion, there is a surplus in 2001.

2. For 2002:
Revenue = \[tex]$5 trillion
Expenditure = \$[/tex]7 trillion
Since \[tex]$5 trillion \(<\) \$[/tex]7 trillion, there is no surplus in 2002.

3. For 2003:
Revenue = \[tex]$8 trillion
Expenditure = \$[/tex]10 trillion
Since \[tex]$8 trillion \(<\) \$[/tex]10 trillion, there is no surplus in 2003.

4. For 2004:
Revenue = \[tex]$9 trillion
Expenditure = \$[/tex]7 trillion
Since \[tex]$9 trillion \(>\) \$[/tex]7 trillion, there is a surplus in 2004.

5. For 2005:
Revenue = \[tex]$15 trillion
Expenditure = \$[/tex]18 trillion
Since \[tex]$15 trillion \(<\) \$[/tex]18 trillion, there is no surplus in 2005.

6. For 2006:
Revenue = \[tex]$8 trillion
Expenditure = \$[/tex]10 trillion
Since \[tex]$8 trillion \(<\) \$[/tex]10 trillion, there is no surplus in 2006.

7. For 2007:
Revenue = \[tex]$6 trillion
Expenditure = \$[/tex]4 trillion
Since \[tex]$6 trillion \(>\) \$[/tex]4 trillion, there is a surplus in 2007.

8. For 2008:
Revenue = \[tex]$2 trillion
Expenditure = \$[/tex]4 trillion
Since \[tex]$2 trillion \(<\) \$[/tex]4 trillion, there is no surplus in 2008.

9. For 2009:
Revenue = \[tex]$7 trillion
Expenditure = \$[/tex]4 trillion
Since \[tex]$7 trillion \(>\) \$[/tex]4 trillion, there is a surplus in 2009.

10. For 2010:
Revenue = \[tex]$5 trillion
Expenditure = \$[/tex]9 trillion
Since \[tex]$5 trillion \(<\) \$[/tex]9 trillion, there is no surplus in 2010.

Thus, the years in which there was a budget surplus are

[tex]$$
\boxed{2001,\ 2004,\ 2007,\ 2009.}
$$[/tex]

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