MHR • Advanced Functions 12 Solutions 660

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Chapter 7 Section 5 Question 4 Page 404 Answers may vary. A sample solution is shown. The town may decide that the Lakeland Savings Bond account is now more favourable since Northern Equity will not be as flexible and the principle will mature to $80 000 slightly faster. Chapter 7 Section 5 Question 5 Page 404 Answers may vary. A sample solution is shown. A = 50 000(1.0325) 2t 80 000 = 50 000(1.0325) 2t 8 5 = 1.03252t log 8 = 2t log1.0325 5 2t = t = log 8 5 log1.0325 log 8 5 2log1.0325 A = 50 000(1.005) 12t 80 000 = 50 000(1.005) 12t ! 0.01(50 000) 805 500 = (1.005)12t log 805 = 12t log1.005 500 log 805 12t = 500 log1.005 t &= 7.35 t &= 7.96 Rural Ontario Investment Group takes a little less time to make $80 000 (7.35 years) so it could be considered. Muskoka Guaranteed Certificate takes approximately the same amount of time as the other options, so it doesn’t need to be considered. t = log 805 500 12log1.005 Chapter 7 Section 5 Question 6 Page 405 a) Answers may vary. A sample solution is shown. increasing in a curved pattern MHR • Advanced Functions 12 Solutions 723
) i) y &= 4.21x – 3.07 ii) y &= 0.86x 2 – 0.93x + 1.2 iii) y &= 1.37(1.65) x c) Answers may vary. A sample solution is shown. Quadratic, since the circle is increasing in two dimensions. d) Answers may vary. A sample solution is shown. i) y &= 1.37(1.65) 10 &= 207.8 The oil spill is approximately 207.8 m 2 after 10 min. MHR • Advanced Functions 12 Solutions 724
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 13 and 14: Chapter 7 Section 1 Question 15 Pag
Page 17 and 18: Chapter 7 Section 2 Techniques for
Page 19 and 20: c) Answers may vary. A sample solut
Page 21 and 22: Chapter 7 Section 2 Question 8 Page
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 63: Chapter 7 Section 5 Question 3 Page
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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