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55 33. 34. 35. 38. 40. a) 44. 45. 46. 47. 48. a) 53. b) 55. a) d) 56. a) b) d < d-" < 5 < i f"" < logfl + 2/log* + logclogd b) Formula (1.25) 5 14/205 logi -logS -.038 .804264-i3 - 1 (1 +r)"(> + l)/2(i + .82 e- lln 9.48% 3! 5! 7! (1+0 V) (1+0" -y- e) e- d + rf + /3 +rf+ • . . i-i2 + ;3.4 . . . b) (1 + + ,•) ! c) (1 -d)(>-"V c) < 59. a) 1 -6 + £--.?- + 2! 3! w-1 .2 (m-l)(2m-1).3 3!/n 2 3 4 (2) e(<-*/2)+*n 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 25. 26. 27. 28. b) (1) (2) Chapter 2 $10,402.36 a) $4225.27 b) $4225.46 log5 - logd 8 120/121 a) 1340 b) 1321 a) $101.92 b) $100.00 c) $103.33 c) Invest for the month of February $1593.00 $917.76 $483.11 a) $275 b) $260 i[logl+2 + 36.4 periods 6.25 years 2n + n 3 114 .30 144 loggl.Ol 7.46% /l9"-4 3 1.5% loM 50 4% d) 16% a) 1.0124 a) 7.00% + .$„)-log,(5iV•+ + + s„v") b) 17.74% *) .9938 b) 7.71% c) 7.53% $1540.34
9. 10. 12. 13. 18. 20. 21. 22. 25. 26. 27. 30. 33. 34. 35. 36. 37. 38. 40. ) theory of interest 300 1 -(.9925)2° 1 - (.9925)* 20% 100 1 -e 1 -e -.02 1.95 1 - v 1 - v" $11,466 log,20[l -(1 log,(l-d) 1/30 1 -v loge(n + 1) 27.47 years 1/6 -20v "201 66 1/21 6250 - 325A $16,607 $7851 3 b) 25/12 48 112.59 46, 3 47, 156.25 48, 49. a) \n-t)vdt b) n -a 50. 16,020 51. 84.5 52. a) (2) - n(n + 1) b) (2) - 54. 40 55. a) n(l + i) -2 + nv" -in(n + l)~n + aj 58. a) -±- b) 2? (2a -bf L 2a - b - - a)\og Chapter 5 1. a) \ ( + 4 + 10) b) 1000[2( 1 - «5]) + («) 1 " («)51 2. 3 3. $20,206 4. a) 75.05 /;) -57.85 5- .+1=.+ <=o iCRt 6. a) 3 b) Yes 7. .02 9. Any Z, 0 < Z < 100 11. 6.16% 12. $4450 14. $8439
- (6:14): Z. =So = R,ds (6:15):fif = (6:16):B; = Bo J,</r 48. a) b) a 49. $310 50. a) $79.59 51. $272.42 54. $5736 55. a) $757.19 /3 + 5 /3 + 5 )(1) 15 (2) 1 2/3% b) $826.40 56. p"TO1.io-«B].09 "201.09 -«151.09 57 (80.000/ Qgjq .og-SOOO «91 .09 i,) 8O.OOO(1.09)-(8O,00O/a )., o,-5000 «91 .09 9. 10. 11. 12. 16. 17. 18. 19. 20. b) $422.41 c) 9.56% b) 8.51% $571 Chapter 7 a) $385.54 $844.77 a) 7.91% 1.0332 $115.87 a) 8.40% b) 8.00% c) 9.14% d) 10.00% e) -7.72% /?) -12.4 $794.83 $945 $1200 $1291 $1100 1 - .5/7 $33.98 $573.60 a) 1037.17 1027.88 1018.59 1009.29 1000.00 b) 964.54 973.41 982.27 991.14 1000.00 | | | | | - | | 980.35 | 13.12 | 967.23 | 980.62 | 13.33 | 967.29 | 980.35 | 13.33 | 967.02 |
Theoretical Practical Semi-Theoretical a) Theoretical - Semi-Theoretical < Practical b) Semi-Theoretical < Theoretical Semi-Theoretical < Practical < Practical Theoretical 32. $1344.89 33. $966.08 34. $156 37. $78.20 38. $908.87 40. a) $1287.76 b) $276.24 41. 13 42. 4% 43. 2.8659 45. a) + Cla) b) (7a) (i + - (i~s) 46. a) .5 b) .375
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