Intermediate Algebra (11th edition)

123.The graph shows profits and losses in thousands of dollars for a private company for the
years 2007 through 2010.

SECTION 1.2 Operations on Real Numbers 23

Year

Company Profits and Losses

Thousands of Dollars

–300

300

200

100

0

–100

–200

2007 2008 2009 2010

77

–142

–225

–185

124.The graph shows annual returns in percent for Class A shares of the AIM Charter Fund
for the years 2002 through 2008.

(a)Find the difference between Social Security tax revenue and cost of benefits for each

year shown in the table.

(b)Interpret your answer for 2030.

125.The table shows Social Security finances (in billions of dollars).

Year

AIM Charter Fund Annual Returns

Source: Invesco Aim.

Percent

–30

30

20

10

0

–10

–20

2002 2003 2004 2005 200620072008

4.93

16.27

–16.14

–28.46

23.99

8.67 8.41

*Projected

Source:Social Security Board of Trustees.

Year Tax Revenue Cost of Benefits

2000 538 409

2010* 916 710

2020* 1479 1405

2030* 2041 2542

(a)What was the total profit or loss for the years 2007 through 2010?

(b)Find the difference between the profit or loss in 2010 and that in 2009.

(c)Find the difference between the profit or loss in 2008 and that in 2007.

(a)Find the sum of the percents for the years shown in the graph.

(b)Find the difference between the returns in 2003 and 2002.

(c)Find the difference between the returns in 2008 and 2007.