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148 Exam 2 Practice Problems Answers

148 Exam 2 Practice Problems Answers - Math 148 Exam 2...

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Unformatted text preview: Math 148 Exam 2 Practice Problems Answers: 1. a) x = 18 b) x = 120 ⎛ 3 x2 + x ⎞ 2. a) log⎜ ⎜ x ⎜ ⎝ ⎠ x-1 ⎛ ⎞ b) ln⎜ ⎜ ⎛ x² + 5⋅x ⎞ ² ⎠ ⎝⎝ ⎠ ⎜ 3. i) (c) with \$3,419.64 ii) \$418.06 ⎝ 4. a) f ⎛ t ⎞ = 200⋅e ⎜ ⎝⎠ b) a = 2.154 c) t = 4.191 ⎛ 0.768 ⋅ t⎞ ⎠ 5. a) 68.3% b) 48 weeks 6. \$22605.86 7. iii) 8. a) True ⎛ x² ⎞ b) False ln⎛ x² ⎞ - ln⎛ 10⎞ = ln⎜ c)True ⎝⎠ ⎝⎠ ⎜ 10 ⎠ ⎝ d) False ln⎛ 2⋅x ⎞ = ln⎛ 2⎞ + ln⎛ x ⎞ ⎝⎠ ⎝⎠ ⎝⎠ ⎜ 9. a) 2.03% b) 31.97% c) 10.12 months d) About 22 months. Can't ever reach 100% 10. a) x = 17 ln⎛ 2⎞ ⎝⎠ b) x = 1 - ln⎛ 2⎞ ⎝⎠ ⎛ 60 ⎞ ln⎜ ⎜ 29 ⎠ c) x = ⎝ -4 11. a) 3.675 ± 1.225 b) 5.69 ± 0.57 13. a) False b) i) c) iii) 14. 160° 15. 120.0° , 13.41 cm 12. 5.148 cm2 rounded to 5.1 cm2 ...
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