MHR • Advanced Functions 12 Solutions 660

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Chapter 7 Review Question 16 Page 408 ! a) t = 5 log0.2 $ " # log0.5% & &= 11.6 It takes approximately 11.6 h for the caffeine to drop to 20%. ! b) 3 = 5 log P $ " # log0.5% & 3 5 = log P log0.5 3 log0.5 = log P 5 3 log0.5 5 = log P 3 P = 0.55 P &= 0.66 Approximately 66% of the caffeine will remain in the body at noon. Chapter 7 Review Question 17 Page 409 a) P = 500, i = 0.066 , n = 2t 2 = 0.033 A = P(1 + i) n = 500(1+ 0.033) 2t = 500(1.033) 2t b) A = 500(1.033) 10 &= 691.79 The investment is worth $691.79 after 5 years. c) 2 = (1.033) 2t log 2 = 2t log1.033 2t = t = log 2 log1.033 log 2 2log1.033 t &= 10.67 It will take approximately 10.67 years for the investment to double. MHR • Advanced Functions 12 Solutions 741
d) i) A = 500(1.033) 2t + 500(0.01) A = 500(1.033) 2t + 5, t > 3 The graph would be the same shape translated up 5 units. ii) A = 1000(1.033) 2t The graph would be above the original function and increasing at a faster rate. Chapter 7 Chapter Problem Wrap-Up Solutions to the Chapter Problem Wrap-Up are provided in the Teacher’s Resource. MHR • Advanced Functions 12 Solutions 742
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Chapter 7 Tools and Strategies for
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c) x 2 + x !1 = 0 x = !1± 12 ! 4(1
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Chapter 7 Prerequisite Skills Quest
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Chapter 7 Section 1 Question 4 Page
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) c) d) Chapter 7 Section 1 Questio
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Chapter 7 Section 1 Question 10 Pag
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Chapter 7 Section 2 Techniques for
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c) Answers may vary. A sample solut
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Chapter 7 Section 2 Question 8 Page
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f) 4 x ! 3!18(4 ! x ) = 0 (4 x ) 2
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d) e) There is no zero so there is
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Page 31 and 32: Chapter 7 Section 2 Question 17 Pag
Page 35 and 36: Chapter 7 Section 3 Question 5 Page
Page 37 and 38: d) 2log w + 3log w + 1 2 log ! 1 $
Page 43 and 44: ) Let x = log b m and y = log b n b
Page 47 and 48: Chapter 7 Section 4 Techniques for
Page 51 and 52: Check: d) 1 = log( y + 9) ! log y "
Page 53 and 54: ! f) log p + 5 $ " # p +1% & = 3 p
Page 65 and 66: ) i) y &= 4.21x - 3.07 ii) y &= 0.8
Page 75 and 76: Chapter 7 Review Chapter 7 Review Q
Page 77 and 78: ! b) 0.05 = 1 $ " # 2% & t 5 log0.0
Page 79 and 80: Chapter 7 Review Question 7 Page 40
Page 81: Chapter 7 Review Question 13 Page 4
Page 85 and 86: Chapter 7 Practice Test Question 6
Page 87 and 88: d) Chapter 7 Practice Test Question
Page 89 and 90: Chapter 7 Practice Test Question 10
Page 91: e) i) y &= 95.67(0.96) 15 y &= 49.6
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MHR • Advanced Functions 12 Solutions 660

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