MHR • Advanced Functions 12 Solutions 660

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Chapter 7 Section 2 Question 7 Page 375 a) (8 x ) 2 ! 2(8 x ) ! 5 = 0 a = 1, b = !2, c = !5 b) 8 x = !(!2) ± (!2)2 ! 4(1)(!5) 2(1) 8 x = 2 ± 24 2 8 x = 2 ± 4 " 6 2 8 x = 2 ± 2 6 2 8 x = 1± 6 8 x = 1+ 6 log8 x = log(1+ 6) x log8 = log(1+ 6) x = or log(1+ 6) log8 8 x = 1! 6, not true c) 8 x = 1! 6 MHR • Advanced Functions 12 Solutions 679
Chapter 7 Section 2 Question 8 Page 376 ! 1$ a) A(t) = A 0 " # 2% & ! 17 = 20 1 $ " # 2% & 17 20 = ! 1 $ " # 2% & 5 h t h 5 h ! log0.85 = log 1 $ " # 2% & 5 h log0.85 = 5 h log 1 2 5 h = log0.85 log 1 2 h = 5log 1 2 log0.85 h &= 21.3 The half-life of thorium-233 is approximately 21.3 min. ! b) 1 = 20 1 $ " # 2% & 1 20 = ! 1 $ " # 2% & t 21.3 ! log0.05 = log 1 $ " # 2% & t 21.3 t 21.3 log0.05 = t 21.3 log 1 2 t 21.3 = log0.05 log 1 2 t = 21.3log0.05 log 1 2 t &= 92.06 It will take approximately 92.06 min for the sample to decay to 1 mg (92.17 min using the exact half-life). MHR • Advanced Functions 12 Solutions 680
Page 1 and 2: Chapter 7 Tools and Strategies for
Page 3 and 4: c) x 2 + x !1 = 0 x = !1± 12 ! 4(1
Page 5 and 6: Chapter 7 Prerequisite Skills Quest
Page 7 and 8: Chapter 7 Section 1 Question 4 Page
Page 9 and 10: ) c) d) Chapter 7 Section 1 Questio
Page 11 and 12: Chapter 7 Section 1 Question 10 Pag
Page 17 and 18: Chapter 7 Section 2 Techniques for
Page 19: c) Answers may vary. A sample solut
Page 25 and 26: f) 4 x ! 3!18(4 ! x ) = 0 (4 x ) 2
Page 27 and 28: d) e) There is no zero so there is
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 71 and 72:
Chapter 7 Section 5 Question 13 Pag
Page 73 and 74:
Chapter 7 Section 5 Question 15 Pag
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 and 82:
Chapter 7 Review Question 13 Page 4
Page 83 and 84:
d) i) A = 500(1.033) 2t + 500(0.01)
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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