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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

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.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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