91Ó°ÊÓ

Show a complete solution to each problem. GE market value. The 2006 market value for General Electric was \(\$ 374\) billion, which was \(7 \%\) less than the market value of Exxon Mobil. What was the market value of Exxon Mobil in \(2006 ?\)

Solve problem by using an inequality. For \(\$ 19.95\) per month you can rent an unlimited number of DVD movies through an Internet rental service. You can rent the same DVDs at a local store for \(\$ 3.98\) each. How many movies would you have to rent per month for the Internet service to be the better deal?

Solve each problem by using a compound inequality. See Example 12. Selling-price range. Renee wants to sell her car through a broker who charges a commission of \(10 \%\) of the selling price. The book value of the car is \(\$ 14,900,\) but Renee still owes \(\$ 13,104\) on it. Although the car is in only fair condition and will not sell for more than the book value, Renee must get enough to at least pay off the loan. What is the range of the selling price?

Solve each problem. If the volume of a cylinder is 6.3 cubic meters and the diameter of the lid is 1.2 meters, then what is the height of the cylinder?

Show a complete solution to each problem. Dividing the estate. Uncle Albert's estate is to be divided among his three nephews. The will specifies that Daniel receive one-half of the amount that Brian receives and that Raymond receive \(\$ 1000\) less than one-third of the amount that Brian receives. If the estate amounts to \(\$ 25,400,\) then how much does each inherit?

Solve each problem by using an absolute value equation or inequality. See Example 10. Famous battles. In the Hundred Years’War, Henry V defeated a French army in the battle of Agincourt and Joan of Arc defeated an English army in the battle of Orleans (The Doubleday Almanac). Suppose you know only that these two famous battles were 14 years apart and that the battle of Agincourt occurred in 1415. Use an absolute value equation to find the possibilities for the year in which the battle of Orleans occurred.

Solve each equation. Practice combining some steps. Look for more efficient ways to solve each equation. $$\frac{2}{3} x=\frac{1}{2}$$

Solve each equation. Practice combining some steps. Look for more efficient ways to solve each equation. $$-\frac{2}{7} w=4$$

Show a complete solution to each problem. Really odd integers. If the smaller of two consecutive odd integers is subtracted from twice the larger one, then the result is \(13 .\) Find the integers.

Solve each problem. Harold's mother, who lives across the street, is pouring a concrete driveway, 12 feet wide and 4 inches thick, from the street straight to her house. This is too much work for Harold to do in one day, so his mother has agreed to buy 4 cubic yards of concrete each Saturday for three consecutive Saturdays. How far is it from the street to her house?