Intermediate Algebra (11th edition)

26.As of 2009, the lowest temperature ever recorded in South Dakota was 58°F. Find the

corresponding Celsius temperature. (Source:National Climate Data Center.)

27.The base of the Great Pyramid of

Cheops is a square whose perimeter

is 920 m. What is the length of each

side of this square? (Source: Atlas

of Ancient Archaeology.)

28.Marina City in Chicago is a complex of two residential

towers that resemble corncobs. Each tower has a con-

crete cylindrical core with a 35-ft diameter and is 588 ft

tall. Find the volume of the core of one of the towers to

the nearest whole number. (Hint:Use the key on

your calculator.) (Source:www.architechgallery.com;

http://www.aviewoncities.com)

p

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64 CHAPTER 2 Linear Equations, Inequalities, and Applications

x

Perimeter = 920 m

29.The circumference of a circle is 480 in.

What is the radius? What is the diameter?

30.The radius of a circle is 2.5 in. What is

the diameter? What is the circumference?

p

r

d

r = 2.5 in.

31.A sheet of standard-size copy paper measures 8.5 in. by 11 in. If

a ream (500 sheets) of this paper has a volume of how

thick is the ream?

32.Copy paper (Exercise 31)also comes in legal size, which has the

same width, but is longer than standard size. If a ream of legal-

size paper has the same thickness as standard-size paper and a

volume of what is the length of a sheet of legal paper?

Solve each problem. See Example 6.

33.A mixture of alcohol and water contains a total of 36 oz of liquid. There are 9 oz of pure

alcohol in the mixture. What percent of the mixture is water? What percent is alcohol?

34.A mixture of acid and water is 35% acid. If the mixture contains a total of 40 L, how many

liters of pure acid are in the mixture? How many liters of pure water are in the mixture?

35.A real-estate agent earned $6300 commission on a property sale of $210,000. What is her

rate of commission?

36.A certificate of deposit for 1 yr pays $221 simple interest on a principal of $3400. What

is the interest rate being paid on this deposit?

When a consumer loan is paid off ahead of schedule, the finance charge is less than if the loan

were paid off over its scheduled life. By one method, called the rule of 78,the amount of

unearned interest (the finance charge that need not be paid) is given by

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k 1 k 12

n 1 n 12

.

238 in.^3 ,

187 in.^3 ,

8.5 in.

11 in.