Intermediate Algebra (11th edition)

21.Use the change-of-base rule to express

(a)in terms of common logarithms (b)in terms of natural logarithms

(c) correct to four decimal places.

22.Solve , giving the solution to three decimal places.

23.Solve.

24.Suppose that $10,000 is invested at 4.5% annual interest, compounded quarterly. How

much will be in the account in 5 yr if no money is withdrawn?

25.Suppose that $15,000 is invested at 5% annual interest, compounded continuously.

(a)How much will be in the account in 5 yr if no money is withdrawn?

(b) How long will it take for the initial principal to double?

log 8 1 x+ 52 +log 8 1 x- 22 = 1

3 x= 78

log 3 19

632 CHAPTER 10 Inverse, Exponential, and Logarithmic Functions

Let. List the elements of S that are members

of each set.

1.Integers 2.Rational numbers 3.Irrational numbers

Simplify each expression.

Solve each equation or inequality.

Graph.

10. 
    
    
    
    11. 12.The graph indicates that the number of inter-
        national travelers to the United States in-
        creased from 41,218 thousand in 2003 to
        57,949 thousand in 2008.
        (a)Is this the graph of a function?
        (b) What is the slope, to the nearest tenth, of
        the line in the graph? Interpret the slope
        in the context of U.S. travelers to foreign
        countries.
        13.Find an equation of the line through
        and parallel to the line with equation
        . Write the equation in slope-
        intercept form.
    
    
    
    

Solve each system.

14.

2 x+ 5 y= 18

5 x- 3 y= 14

3 x- 4 y= 12

1 5, - 12

5 x+ 2 y= 10 - 4 x+y... 5

| 2 x- 5 |= 9 |4x+2| 710

7 - 13 + 4 x 2 + 2 x=- 51 x- 12 - 3 2 x+ 2 ... 5 x- 1

|-8|+ 6 - |-2|- 1 - 6 + 22 21 - 52 + 1 - 82142 - 1 - 32

S= E-^94 , -2, - 22 , 0, 0.6, 211 , 2 - 8 , 6,^303 F

CUMULATIVE REVIEW EXERCISES

CHAPTERS 1–10

45,000

50,000

40,000

0

55,000

60,000

Source: U.S. Department of Commerce.

Travelers

(in thousands)

International Travelers to the U.S.

Year

2003 2005 2007

57,949

41,218

15.

2 x+ 2 y- 3 z=- 12

3 x- y+ z= 8

x+ 2 y+ 3 z= 11