89.On February 17, 2009, Congress raised the U.S.
government’s debt limit to When this
national debt limit is reached, about how much will
it be for every man, women, and child in the coun-
try? Use 300 million as the population of the United
States. (Source:The Concord Coalition.)
90.In theory there are possible Social Secu-
rity numbers. The population of the United States is
about. How many Social Security numbers
are available for each person? (Source: U.S. Census
Bureau.)
91.Astronomers using the Spitzer Space Telescope dis-
covered a twisted double-helix nebula, a conglom-
eration of dust and gas stretching across the center of
the Milky Way galaxy. This nebula is 25,000 light-
years from Earth. If one light-year is about 6,000,000,000,000 (that is, 6 trillion) miles,
about how many miles is the twisted double-helix nebula from Earth? (Source: http://
articles.news.aol.com)
92.A computer can perform 466,000,000 calculations per second. How many calculations
can it perform per minute? Per hour?
93.In 2008, the U.S. government collected about $4013 per person in personal income
taxes. If the population was 304,000,000, how much did the government collect in taxes
for 2008? (Source: U.S. Office of Management and Budget.)
94.Pollux, one of the brightest stars in the night sky, is 33.7 light-years from Earth. If one
light-year is about 6,000,000,000,000 mi, about how many miles is Pollux from Earth?
(Source: World Almanac and Book of Facts.)
95.In September of 2009, the population of the
United States was about 307.5 million. To
the nearest dollar, calculate how much each
person in the United States would have had
to contribute in order to make one lucky
person a trillionaire (that is, to give that
person $1,000,000,000,000). (Source: U.S.
Census Bureau.)
96.In 2006, national expenditures for health care
reached $2,106,000,000,000. Using 300 mil-
lion as the population of the United States,
about how much, to the nearest dollar, was spent on health care per person in 2006?
(Source: U.S. Centers for Medicare and Medicaid Services.)
Simplify. See Section 1.8.
Evaluate each expression for See Sections 1.3 and 1.6.
- 4 x^3 - 5 x^2 + 2 x- 5 102.- 4 x^3 + 2 x^2 - 9 x- 2
2 x^2 - 3 x+ 10 3 x^2 - 3 x+ 4
x=3.
- 312 x+ 42 + 412 x- 62 - 81 - 3 x+ 72 - 412 x+ 32