# 61 suppose that you have 5000 to invest which

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Chapter 3 / Exercise 18
Trigonometry
McKeague/Turner
Expert Verified
61) Suppose that you have \$5000 to invest. Which investment yields the greater return over 8 years: 5.4% compounded monthly or 5.5% compounded quarterly? 61) A) Both investment plans yield the same return. B) \$5000 invested at 5.4% compounded monthly over 8 years yields the greater return. C) \$5000 invested at 5.5% compounded quarterly over 8 years yields the greater return.
Evaluate the expression without using a calculator. 62) log 12 12 62)
63) 5 log 5 14 63)
64) log 3 3 19 64)
Find the domain of the logarithmic function. 65) f(x) = log 6 (x + 9) 65) A) (9, Q ) B) ( - Q , 0) or (0, Q ) C) (6, Q ) D) ( - 9, 66) f(x) = log 3 (x - 2) 2 66) Q ) A) ( - Q , 0) or (0, Q ) B) ( - Q , 2) or (2, Q ) C) ( - 2, Q ) D) (2, Q )
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. 67) log 2 x 2 y 7 67) A) 2 7 log 2 ( x y ) B) 2 log 2 x - 7 log 2 C) 7 log 2 y - 2 log 2 x D) 2 log 2 x + 7 log 2 68) log 5 3x 68) y y
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Chapter 3 / Exercise 18
Trigonometry
McKeague/Turner
Expert Verified
Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions. 69) ln x + 7ln y 69) A) ln (x + 7y) B) ln y 7 C) ln xy 7 D) ln 7xy 70) 8ln (x - 12) - 9 ln x 70) A) ln 72x(x - 12) B) ln (x - 8 x 9 C) ln 8(x - 12) 9x D) ln x 9 (x - 12) Solve the inequality graphically, numerically, or symbolically, and express the solution in interval notation. Where appropriate, round to the nearest tenth. 71) 2 A x + 9 A L 2 71) A) - 8, - 10 B) - Q , - 8 1 - 10, C) - Q , - 10 1 - 8, Q D) - Q , 10 1 8, 72) A r + 6.7 A < 7 72) x 12) 8 Q Q
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