Basic college mathematics 8th edition tobey solutions manual 1 by andrew.smith608

Solution Manual for Basic College Mathematics 8th Edition by Tobey

Slater Blair and Crawford

ISBN 0134178998 9780134178998

Full download link at:

Solution manual: https://testbankpack.com/p/solution-manual-for-basic-college-mathematics-8th-edition-by-tobeyslater-blair-and-crawford-isbn-0134178998-9780134178998/ Test bank: https://testbankpack.com/p/test-bank-for-basic-college-mathematics-8th-edition-by-tobey-slater-blairand-crawford-isbn-0134142438-9780134142432/

Chapter 5

5.1 Exercises

2. The number 1 written as a percent is 100%

4. To change a decimal to a percent, move the decimal point two places to the right, write the % symbol at the end of the number.

38. 0.66 = 66% 40. 0.10 = 10% 42. 0.03 = 3% 44. 0.408 = 40.8% 6. 79  79% 46. 0.009 = 0.9% 8. 10. 12. 14. 100 110  110% 100 15.8  15.8% 100 56. 0.8 = 80% 58. 0.25 = 25% 60. 1.48 = 148% 62. 40  40% 16. 18. 10 2 5  10 % 100 5 54  54% 100 100 64. 0.055 = 5.5% 66. 49% = 0.49 68. 210% = 2.10 = 2.1 20. 7 out of 100 students majored in exercise science. 7  7% 100 22. 42% = 0.42 70. 0.8  0.008 100 72. 35  0.35 100 24. 3% = 0.03 100 6 100  6% 48. 50. 0.0015 = 0.15% 1.86 = 186% 52. 9.17 = 917% 65  65% 54. 0.37 = 37%

76.

78.

80.

0.09% = 0.0009

0.61% = 0.0061

9.6% = 0.096

189% = 1.89

30.

32.

34.

36.

57% voted for Mitt Romney.

0.01

1% = 0.01

plan to donate the money.

30%

0.3 0.3

get their vitamin A from carrots.

4.5%

0.045 0.3%

0.003

3. 0.09% = 0.0009 5.2

2. Change the fraction to a decimal by dividing the denominator into the numerator. Change the decimal to a percent by moving the decimal point two places to the right and adding the % symbol.

Mathematics 82. 10.65  1065 100  1065 1 100 88. 0.875 8 7.000 6 4 60  1065 "per one hundred" 56  1065 percent 40  1065% 40 We change 10.65 to 1065 1 100 and use the idea 0 7 that percent means “per one hundred.” 84. a. 3724% = 37.24  0.875 8 b. 3724%  3724 100 c. 3724%  3724  3724  4  931 100 100  4 25 Cumulative Review 89. 3  246 + 7  380 + 5  168 + 9  122 =

+ 2660

840 + 1098 = 5336 There are a total of 5336 vases. Classroom Quiz 5.1

0.026 = 2.6% 2. 3.7  3.7% 85. 0.56  56  56  4  14 100 86. 87. 100 100  4 25 0.78  78  78  2  39 100 100  2 50 0.6875 16 11.000 9 6 1 40 1 28

ISM: Basic College

738

Exercises

 2 25 59 0 11  0.6875 16 8. 35%  35  7 100 20 10. 42%  42  21 100 50 120 4. 8%  8 112 100 80 80 6. 59%  0 10

Chapter 5: Percent

Copyright © 2017 Pearson Education, Inc. 111 5 69 16. 72.5%  0.725  725  29 44. 22  0.88  88% 1000 40 25 18. 16.4%  0.164  164  41 46. 13  0.325  32.5% 1000 250 40 20. 38.75%  0.3875  3975  31 48. 7  1.75  175% 22. 24. 26. 10,000 80 256%  256  64  2 14 100 25 25 420%  420  4 20  4 1 100 100 5 2700%  2700  27 100 50. 52. 54. 4 3 3  3.75  375% 4 2 5  2.625  262.5% 8 2  0.6667  66.67% 3 2 32 32 8 56. 8  0.5333  53.33% 28. 6 %  5   15 5 100 500 125 1 75 75 3 58. 12  2.4  240% 30. 37 %  2   2 100 200 8 46 60. 5 43  0.86  86% 32. 1 5 46 23 50 9 %    5 100 500 250 0.28 34. 8.6%  8.6  8.610  86  43 100 10010 1000 500 The number of burglaries decreased by 43 500 62. 25 7.00 5 0 2 00 2 00 0 36. 38. 40. 42. 8 %  8  69 8 1 00 800 This was an increase a decrease of 1  0.25  25% 4 9  0.9  90% 10 11  0.55  55%

ISM: Basic College Mathematics

Chapter 5: Percent ISM: Basic College Mathematics 112 Copyright © 2017 Pearson Education, Inc. 69 800 64. 7  0.2 8  28 % 25 Thi s repr ese nts 28 % of you r inco me. 0 0 2 7 5 4 0 0 1 1 . 0 0 0 0 8 0 0 3 0 0 0 2 8 0 0 2 0 0 0 2 0 0 0 0

114 Copyright © 2017 Pearson Education, Inc. 87 % 0.86  0.86  86 8 0.87 0.08333 66. 8 7.00 74. 12 1.00000 6 4 96 60 40 56 36 4 40 7  0.87 4  0.87 1  1 8 8 2 2 36 68. 0.12 90 11.00 90 200 1 80 20 4 0.0833  8.33% 1 ; 0.0833; 8.33% 12 76. 0.85 = 85% 11 20 2 2 0.85  85  17 70.  0.12  0.12  12 % 90 90 9 9 0.86 15 13.00 12 0 100 20 17 ; 0.85; 85% 20 78. 0.085 = 8.5% 1 00 0.085  85  85  5  17 13  90 10 10 2 2 1000 1000  5 200 17 ; 0.085; 8.5% 200 72. 15 15 3 3 0.88 9 8.00 7 2 80 72 8 80. 0.77777 9 7.00000 6 3 70 63 70 63 70 8  0.88 8  88 % 63 9 9 9 70 63 7 7  0.7778  77.78% 9 7 ; 0.7778; 77.78% 9 % 36 40

Chapter 5: Percent ISM: Basic College Mathematics

5.3A Exercises

2. $500 is 30% of what number?

4. This type is called “a percent problem when we do not know the amount.” We can translate this into an equation.

n = 65%  600

n = 0.65  600

6. This type is called “a percent problem when we

do not know the percent.” We can translate this into an equation.

Chapter 5: Percent ISM: Basic College Mathematics

115 5 82. 5  0.625 8 2 5  2.625 8 2 %  0.02625  0.0263 8 89. 10,041 986 4,283  533,855 549,165 There were a total of 549,165 documents. 0.02625  2625  21 100,000 800 21 5 ; 0.0263; 2 % 800 8 90. 2 1 1800  5  1800  4500 2 2 1 The new steak house has an area of 4500 square feet. 7 18 7 Classroom Quiz 5.2 84. 18 %  12 12 100  18 7 100 1. 62%  62  31 12  223  1 100 50 12 100 3 35 35 7  417 223 1200 n 2. 8 %  4   4 100 400 80 3. 17  0.425  42.5% 86.  600 100 417100  600  n 41,700  600 n 41,700  600  n 600 600 69.5  n 69.5% Cumulative Review 87. 15  8 40

15 n 3

n = 390

 3  n 8 45  n 8 8 8 n  5.625

 35  14 35n 

88. 32  n 24 3 32    n 96  24  n 96  24  n 24 24 4  n

Chapter 5: Percent ISM: Basic College Mathematics 116 Copyright © 2017 Pearson Education, Inc. n  0.4 T h e a n s w e r i s 4 0 % 8. W h at is 7 % o f 5 9 ? n = 7 %  5 9 1 0 . 4 6 % o f w h a t i s 9 5 ? 4 6 %  n = 9 5 1 2 . 2 8 i s w h a t p e r c e n t o f 8 5 0 ? 2 8 = n  8 5 0

Chapter 5: Percent ISM: Basic College Mathematics

117

What is 30% of 210? n  30%  210 n  0.30  210 n  63

Find 80% of 240. n = 80%  240 n = 0.8  240 n = 192

What is 8% of $215? n = 8%  215 n = 0.8  215 n = 17.20 The service fee would be $17.20. 20. 3% of what is 18? 3% n  18 0.03n  18 30. 28 is

of 140? 28  n 140 28  n 140 140 140 0.20  n 20%  n 20% of the bill was for labor. 32. 40% of 310 is what? 40% 310  n 0.40  310  n 124  n 34. 160% of what is 152? 160% n  152 1.60  n  152 1.60  n  152 1.60 1.60 n  95 0.03n  18 0.03 0.03 n  600 36. 72 is what percent of 900? 72  n  900 22. 36 is 6% of what? 72  n  900 24. 36  6% n 36  0.06  n 36  0.06n 0.06 0.06 600  n 12% n  522 0.12  n  522 0.12n  522 0.12 0.12 n  4350 The population is 4350. 900 900 0.08  n 8%  n 38. Find 0.3% of 540. n = 0.3%  540 n = 0.003  540 n = 1.62 40. What percent of 45 is 16.2? n  45  16.2 n 45  16.2 45 45 n  0.36 26. What percent of 300 is 135? n 300  135 300n  135 300 300 n  0.45 n  36% 42. 10 is 25% of what? 10  25% n 10  0.25 n n  45% 10  0.25 n 28. 78 is what percent of 200? 78  n 200 78  n  200 200 200 0.39  n 39%  n 0.25 0.25 40  n 44. 6 is what percent of 800? 6  n 800 6  800n 800 800

14.

16.

18.

what percent

46. What is 14.5% of 280? n

52. What is 36% of 1250?

n = 0.36

n = 450 Of the opportunities, 450 jobs are in the health care field.

56.

= 14.5% 

= 0.145 

= 40.6

27  n  45 27  n  45 58. 5.06  0.82 1012 4 048 4.1492 2834 45 45 0.6  n 60%  n 50. 15 is what percent of 400? 15  n 400 59. 0.06^ 170.04^ 12 50 48 2 0 1 8 15  n  400 24 400 400 0.0375  n 3.75%  n 3.75% were not perfect.

280 n

48.

is what percent of 45?

= 36%  1250

 1250

54. 437 is 76% of what? 437  76% n 60. 0.9^ 24 0 2.36 2.1^24 18 3 2 2 7 54 54 0 437  0.76  n 437  0.76  n 0.76 0.76 575  n 575 employees

in Massachusetts.

work

Find

of 9600.

= 80%  65% 9600

= 0.80  0.65  9600 n = 4992 $4992 Cumulative Review 57. 1.36 Classroom Quiz 5.3A 1. What is 0.06% of 27,000? n = 0.06%  27,000 n = 0.0006  27,000 n = 16.2 2. 115.2 is 72% of what number? 115.2  72% n 115.2  0.72  n 115.2  0.72  n 0.72 0.72 160  n 3. 39 is what percent of 300? 39  n  300 39  n  300  1.8 1 088 1 36 2.448 300 300 0.13  n 13%

80%

65%

Exercises

6000 is 0.4% of what? 6000  0.4 b 100

70% of 60 is what? 6000 100  0.4b 600,000  0.4b 0.4 0.4 1,500,000  b

70 is what percent of 1400? p  70 100 1400 a  70 60 100 100  a  60 70 100a  4200 100 100 1400 p  100  70 1400 p  7000 1400 1400 p  5 24. What percent of 120 is 18? a  42 18  p 12. Find 180% of 90. a  180 90 100 100a  90180 100a  16,200 100 100 a  162 120 100 120 p  18100 120 p  1800 120 120 p  15 26. 20% of 75 is what? a  20 14. 0.9% of 7000 is what? 75 100 a  0.9 7000 100 100a  7000  0.9 100a  6300 100 100 a  63 100a  20  75 100a  1500 100 100 a  15 28. 200% of what is 120? 120  200 16. 45 is 60% of what? b 100 45  b 60 100 120 100  200b 12,000  200b 45100  60b 4500  60b 60 60 75  b 200 200 60  b 30. 75 is what percent of 600? 18. 120% of what is 90? 90  120 b 100 p  75 100 600 600 p  100  75 600p  7500 90 100  120b 9000  120b 120 120 75  b p b a 2. 65% of 820 is 532. 65 820 532

What is 35% of 95? 35 95 a 6. 38% of what is 2280? 38 b 2280 8. 50 is what percent of 250? p 250 50

Chapter 5: Percent ISM: Basic College Mathematics

5.3B

20.

10.

22.

Chapter 5: Percent ISM: Basic College Mathematics

121 6 0 0 6 0 0 p  1 2 5 12.5%

Chapter 5: Percent ISM: Basic College Mathematics

Pearson Education,

117

2017

Inc.

650.

40? a  0.4 650 100 100a  650  0.4 100a  260 100 100 a  2.6

What percent of 49 is 34.3? p  34.3 100 49 49p  100  34.3 49p  3430 49 49 p  70 70% 36. 52 is 40% of what? 52  40 p  8 100 40 40 p  100 8 40p  800 40 40 p  20 She did 20% of the problems incorrectly. 46. 3 870 2 213 1 757 727 1 010 1 653  1 098 12,328 $1010 is what percent of $12,328? b 100 52 100  40b 5200  40b 40 40 130  b

28% of what is $8960? p  1010 100 12,328 12,328p  100 1010 12,328p  101,000 12,328 12,328 p  8.2 About 8.2% was spent on health care. 8960  b 28 100

Health care: What is 125% of $1010? 8960100  28b a  125 896,000  28b 28 28 32,000  b Linda’s annual salary was $32,000.

What percent of 60 is 12? p  12 1010 100 100a  1251010 100a  126,250 100 100 a  1262.5 The new amount is $1262.50. Food: What is 115% of $2213? 100 60 a  115 60 p  100 12 60 p  1200 60 60 p  20 20% resulted in a home run.

What is 16% of 550? a  16 550 100 100a  55016 100a  8800 100 100 a  88 88 people had outstanding warrants for their arrest.

32. Find 0.4% of

44.

is what percent of

34.

38.

48.

40.

42.

Chapter 5: Percent ISM: Basic College Mathematics 118 Copyright © 2017 Pearson Education, Inc. 2213 100 100a  115 2213 100a  254,495 100 100 a  2544.95 The new amount is $2544.95.New total: 3870.00 2544.95 1757.00 727.00 1262.50 1653.00  1098.00 12, 912.45

1098 is what percent of 12,912.45?

3. 126 is what percent of 800?

About

would be used for miscellaneous

Use

3. 14,970.16 + 11,000.00 = 25,970.16

The total cost would be $25,970.16.

4. 25,970.16 25,094.08 = 876.08

Louvy saves $876.08 if he buys the car instead of leasing it.

5. 669.28 388.06 = 281.22 He will save $281.22 each month in car payments.

6. To get the best overall price, Louvy should buy the car since he will save $876.08 on the total price. To get a lower monthly payment, Louvy should lease the car since he will save $281.22 each month in car payments.

7. Answers will vary.

8. Answers will vary.

9. Answers will vary.

How Am I Doing? Sections 5.1 5.3 (Available online through MyMathLab or from the Instructor’s Resource Center.)

1. 0.17 = 17%

2. 0.387 = 38.7%

Chapter 5: Percent ISM: Basic College Mathematics

Education,

119

Inc.

p  1098 100 12,912.45 12,912.45p  1098100 p  126 100 800 800 p  100 126 12,912.45p  109,800 800 p  12,600 12,912.45 12,912.45 p  8.5

Cumulative Review 49. 4  8  4  9  8  5 5 9 5 9 9 5  36  40 45 45  76 or 131 45 45 7 1 14 13 1 800 800 p  15.75 15.75%

8.5%

items.

Math to Save Money 1. 1000  36 388.06  1000 13,970.16  14,970.16

would pay $14,970.16 over the entire length of the lease.

1000  36 669.28  1000  24,094.08 

50. 51.   13 2 26 26 26  2 4 11   14  3  42  21 or 41

Louvy

25,094.08 Louvy would pay $25,094.08 over the entire length of the loan.

 5  2  5 2 10 5 5

   2 3 7 3 7 4 28 13

52. 1       or 1 5 4 5 4 5 3 15 15 Classroom Quiz 5.3B

a  145 96 100 100a  96 145 100a  13,920 100 100 a  139.2

1. What is 145% of 96?

88  0.4

2. 88 is 0.4% of what number?

b 100 88100  0.4b 8800  0.4b 0.4 0.4 22,000  b

ISM: Basic College Mathematics

Chapter 5: Percent

Copyright © 2017 Pearson Education, Inc. 121 5 5. 0.006 = 0.6% 6. 0.0004 = 0.04% 17 16. 1.0625 16 17.0000 16 1 00 7. 100 89  17% 96 40 32 8.  89% 100 80 9. 13.4  13.4% 100 10. 19.8  19.8% 100 17. 0 17  1.0625  106.25% 16 .71428 7 5.000 6 1 1 4 9 11. 2  6 % 100 2 7 12. 3 5 30 8  3 % 28 13. 14. 100 8 0.8 10 8.0 8  0.8  80% 10 .50 30 15.00 15 0 00 15  0.50  50% 30 18. 20 14 60 56 4 5  0.7143  71.43% 7 .28571 7 2.00000 1 4 60 56 2.6 40 15. 20 52.0 35 40 50 12 0 12 0 49 10 2   52  2.6  260% 20 0.2857 28.57% 7 80 10 0

Chapter

Percent

122 Copyright © 2017 Pearson Education, Inc.     .75 1 205 205 41 19. 24 18.00 16 8 31. 51 %  4   4 100 400 80 1 20 3 175 175 7 1 20 0 32. 43 %  4   4 100 400 16 20. 18  0.75  75% 24 .25 36 9.00 7 2 1 80 1 80 0 9  0.25  25%



n =

36 p  68 21. 4 2  22  4.4  440% 5 5 100 72 72 p  68100 72p  6800 72 72 3 11 p  94.44 22. 2   2.75  275% 4 4 94.44% 36. What percent of 80 is 64? 23. 1  1  1   1 %  0.33% p 64 300 3  100  3  100 80 80 p  64 100 24. 1  1  1   1 %  0.25% 80 p 6400 400 4  100  4  80 80 p  80 25. 22%  22  11 100 50 80% 37. 8% of what number is 240? 26. 53%  53 100 8 100  240 b 27. 28. 150%  150  3  1 1 100 2 2 160%  160  8  1 3 100 5 5 8b  240 100 8b  24,000 8 8 b  3000 38. 354 is 40% of what number?

ISM: Basic College Mathematics

33. What is 70% of 60? n = 70%

60 n = 0.70(60)

= 42 34. Find 15% of 140. n

15%

140 n = 0.15(140)

21 35. 68 is what percent of 72?

Chapter 5: Percent ISM: Basic College Mathematics Copyright © 2017 Pearson Education, Inc. 123 4 0  354 1 6 1 19 19 100 b 29. 6 %  3  3  3 100 100 300 40b  354 100 40b  35,400 40 40 1 31 25 25 1 b  885 30. 3 %  8  8   8 100 100 800 32

truck drivers.

8. n = 5% of 180 = 0.05  180 = 9 $9 is the tax he paid.

The price of the artwork was $215.

12. 350

0.15 15% is set aside for car payments.

14.

26%

His income last year was $35,000.

16. 507

37 507 507

7.30% of his at-bats resulted in a home run.

there were 37,635,000 people that were literate.

The price was $33,000. 12% + 7% = 19%

n = 19%  9000

n = 0.19  9000

n = 1710

1710 flights are delayed less than two hours.

26. a. 20% + 16% = 36%

n = 36%  6,000,000

n = 0.36  6,000,000

n = 2,160,000

$2,160,000 was paid to cover staff and rental.

b. 6,000,000 2,160,000 3,840,000

$3,840,000 was left over for research.

28. n = 30%  130

n = 0.3  130

n = 39

Discount is $39. Cost is $130 $39 = $91.

30. a. n = 25%  1150

n = 0.25  1150

n = 287.5

Discount was $287.50.

b. Cost of refrigerator and stove is $1150 $287.50 = $862.50.

Cumulative Review

31. 1,698,481 rounds to 1,698,000.

Exercises 2. n 8%  27,200 0.08n  27,200 0.08n  27,200 0.08 0.08 There are 340,000

the

States. 18. 20. n = 39%  96,500,000 n = 0.39  96,500,000 n = 37,635,000

Chapter 5: Percent ISM: Basic College Mathematics

5.4

dental assistants employed in

United

n 115%  47.50 1.15n  47.50 1.15 1.15 n  41.30 4. n 115%  20.70 1.15n  20.70 1.15n  20.70 1.15 1.15 n  18 Her salary before

per 22. She can afford to

106% n  34,980 1.06n  34,980 1.06n  34,980 1.06 1.06 hour. n  33,000 6. 28  52  80 80 n  28 24.

80 n 

n 

2014,

her promotion was $18.00

spend $41.30.

28 80 80

0.35 35% of the employees are

5% n 

0.05n 

0.05

n 

10.

10.75

0.05

215

 n

 n 

n 

 52.50 350

52.50

n 

 9100 0.26n  9100 0.26 0.26

 35,000



 n 

n  37 507

ISM: Basic College Mathematics

32. 2,452,399 rounds to 2,452,400. 8.

1.63474 rounds to 1.63.

34. 0.7995 rounds to 0.800. 35. 0.055613 rounds to 0.0556. 36. 0.079152 rounds to 0.0792. Classroom Quiz 5.4

1. a. n = 20%  $633 n = 0.20  633 n = 126.6 The discount was $126.60.

b. $633 $126.60 = $506.40 She paid $506.40.

 7800

She earned $7800 in commission.



= 4.7

 345 She paid $345 in interest.



Total sales  42,000  42,000  700,000 6% 0.06

The sales total was $700,000.

20. Breath = 12%  4.58 = 0.12  4.58 = 0.5496 You breathe about 0.55 liter.



500 1700  2200 His total income was $2200.

24. Decrease = 5955 5624 = 331

Chapter 5: Percent

125

28.5

Percent  4.7 33.2  0.1415  14.2%

Decrease

33.2

33.

10. 12. This was

I  P  R  T  450  0.3% 1  450    She earned $1.35. I  P  R  T  3000 

1  3000 

1  210 He will need to pay $210. 3 1 2. p  19 100 28 28p  100 19 28p  1900 28 28 p  67.85 67.9% of the students drove to school. 14. 3 months   12 4 I  P  R T  9200 15% 1 4  9200  0.15 1 4  1380 

 26% n 3380  0.26  n 3380  0.26  n 0.26 0.26 13,000  n

a decrease of 14.2%.

0.07

1 4 year 3. 3380

13,000 people live in that city. 5.5 Exercises



2. Commission  3% 260,000

0.03 260,000

16. 18. Rate

63,000  0.007  0.7% 9,000,000 Her commission rate was 0.7%.

4. Total income  500  0.5% 340,000

500  0.005 340,000

22. Red hair  11% of 5,600,000

0.11 5,600,000

616,000 616,000 people have red hair.

Chapter 5: Percent ISM: Basic College Mathematics 126 Copyright © 2017 Pearson Education, Inc. 6. Decrease = 267 183 = 84 Percent  331  0.05558  5.56% Percent  84 267  0.3146  31.5% 5955 This is a 5.56% decrease. This was a decrease of 31.5%.

Chapter 5: Percent ISM: Basic College Mathematics

127 2 3 26. Increase = 29 20 = 9 p  9 100 20 Cumulative Review 39. 3(12 6) 4(12  3)  3(6) 4(4)  18 16  2 20 p  9100 20 p  900 20 20 p  45 This is a 45% increase. 40. 7  43  2 15  7  64  2 15  7 128 15  135 15  120 28. a. I  P  R T  5  1   2 1 2  5  1   1 2  1258 2% 1 41.  2  3      2  3   3   1258 0.02 1  25.16     3 3         5  1  1 b. 30. a. $25.16 is the interest Nikki paid. Cost to pay off  $1258  25.16  $1283.16. Sales tax  7%12,600  0.07 12,600  882        5 1 6 9  15 2 18 18  13 18 The sales tax was $882. b. Final price = $12,600 + $882 = $13,482. 42. (6.8 6.6)2  2(1.8)  (0.2)2  2(1.8)  0.04  3.6  3.64 32. Interest = 12%  1600 = 0.12  1600 = 192 Payoff = 1600 + 192 = 1792 The total amount that will pay off the debt is $1792. Classroom Quiz 5.5 1. n = 3%  316,200 n = 0.03  316,200 34. a. Down payment  11%188,000  0.11188,000  20,680 Their down payment was $20,680. n = 9486 Her commission is $9486. 2. Increase = 650 400 = 250 Percentage  250  0.625 36. 38. b. Mortgage = 188,000 20,680 = 167,320 Their mortgage was $167,320. p  917 100 960 960 p  100  917 960p  91,700 960 960 p  95.5 95.5% is used to pay off the interest charge. Discount  29%1249.95  0.29 1249.95  362.49 The discount was $362.49. Sale price = $1249.95 $362.49 = $887.46. 9

5: Percent ISM: Basic College Mathematics 128 Copyright © 2017 Pearson Education, Inc. 400 The percent of increase is 62.5%. 3. Six mo nth s  6  1 yea r 12 2 I  P  R  T  8 5 0 0  1 2 %  1 2  8 5 0 0  0 1 2  1 2  1 020  1 2  510 The simple interest is $510.

Chapter

Career Exploration Problems

1. a. Locate a peak systolic velocity of 212 cm/sec in the second column, and an end diastolic velocity of 125 cm/sec in the third column, and an ICA/CCA ratio of 4 in the fourth column. These values correspond to row 2. Brian should report a percent range of 50 79%.

b. percent of stenosis

60% The percent of stenosis is 60%.

2. a. maximum heart rate

220 bpm age in years

220 bpm 49

171 bpm

maximum heart rate is 171 beats per

b. 1% = 0.01

c. 1.8% = 0.018

d. 335% = 3.35

e. 7.54% = 0.0754

3. a. 0.12 = 12%

b. 2.35 = 235%

c. 0.0071 = 0.71%

d. 6.5 = 650%

e. 1.005 = 100.5% 20

You Try It

Chapter 5: Percent ISM: Basic College Mathematics

129 29

 

3 1 1 d. 4  3 % 100 4 e. 18.5  18.5% 100

diameter of ICA stenosis 

2. a. 86% = 0.86



 

 

 

 

 







1 diameter of distal ICA

100%

3.0 mm

1 7.5 mm

100%

[1 0.4]

100%

0.6100%



John’s

1 minute.

THRZ 4. a. 20%   100 5 50% of the maximum heart rate  50%171 b. 45%  45  9  0.5171  85.5  86 85% of the maximum heart rate  85%171  0.85171 100 20 c. 260%  260  13  2 3 100 5 5  145.35 d. 1.5%  0.015  15  3  145 John’s target heart rate zone (THRZ) is 86 145 beats per minute.

1000 200 e. 5.84%  0.0584  584  73 10,000 1250 1. a. 78  78% 100 f. 9 %  3  29 b. 125  125% 5. a. 3 100 300 360%  3.60  3 60  3 3   2

7. a. What is 12% of 300?

b. 22% of what number is 165?

9. a. Discount = (0.15)($225) = $33.75

b. 225 33.75 = 191.25

He paid $191.25 for the DVD player.

10. Commission = (0.08)(15,500) = 1240 She earns a commission of $1240.

11. Increase = 310,000 270,000 = 40,000

40,000  0.148

c. What percent of 90 is 32?

35.56%

8. a. What is 32% of 180?

270,000

This is approximately a 14.8% increase.

12. I = (8000)(0.06)(3) = (480)(3) = 1440 Olivia owed $1440 in interest.

Chapter 5 Review Problems

1. 0.62 = 62%

2. 0.43 = 43%

3. 0.372 = 37.2%

4. 2.2 = 220%

5. 2.52 = 252%

6. 1.036 = 103.6%

Chapter 5: Percent ISM: Basic College Mathematics

Education,

131 c. 208%  2.08  2 8  2 2

48% of what number is 15? 100 25 15  b 48 100 6. a. 34  0.68  68% 15  12 50 b 25 b. 8 25 c. 4  0.32  32%  0.008  0.8% (15)(25)  12b 375  12b 12 12 31.25  b c. What percent of 300 is 120? 500 480 120  p 300 100 d.  1.6  160% 300 2  p e. 3 1  3.25  325% 4 5 100 (2)(100)  5p 200  5p 5 5

2017 Pearson

Inc.



12%

300 n = (0.12)(300)

22% n  165 0.22n  165 0.22n  165 0.22 0.22 n  750

n 



90n 

n 

n 

0.3555...

a 

180

a 

25a  (8)(180) 25a  1440 25 25 a  57.6 40%  p

100

8 180 25

Chapter 5: Percent

Copyright © 2017 Pearson Education, Inc. 133 4 1 1 164 164  4 41 9. 12  4 % 100 12 27. 16.4%  0.164    1000 1000  4 250 317 1 311 10. 100  317% 28. 31 %  4 4 100  31 1 100 11. 32% = 0.32 12. 15.75% = 0.1575 13. 236% = 2.36 4  125  1 4 100  125 400 14. 32 1  32.125%  0.32125 8  125  25 400  25 15. 19  0.76  76% 25  5 16 8 8  8 1 16. 11  0.55  55% 20 29. 0.08%  0.0008    10,000 10,000  8 1250 30. 0.04%  0.0004  4  4  4  1 17. 9  0.225  22.5% 40 0.6 10,000 10,000  4 2500 18. 7  0.5833  58.33% 12 31. 5 3.0 3 0 0 19. 14  0.9333  93.33% 15 0.6 = 60% 3 ; 0.6; 60% 5 20. 2 1  2.25  225% 4 32. 7 10  0.7  70% 21. 22. 3 3  3.75  375% 4 2 7  2.7778  277.78% 7 ; 0.7; 70% 10 375 3 9 23. 200  80 2.5  250% 33. 37.5%  0.375   1000 8 3 ; 0.375; 37.5% 8 24.

ISM: Basic College Mathematics

134 Copyright © 2017 Pearson Education, Inc. 5  0.00625  0.63% 800 34. 56.25%  0.5625  5625  9 10,000 16 9 ; 0.5625; 56.25% 25. 72%  72  72  4  18 16 26. 100 100  4 25 175%  175  175  25  7  13 100 100  25 4 4

Chapter 5: Percent ISM: Basic College Mathematics

46. n = 35%  140

n = 0.35  140

n = 49

47.

41.

The

Chapter 5: Percent ISM: Basic College Mathematics

135 35. 0.008 = 0.8% 0.008  8  1

50 is

percent of 130? 50  n 130 1000 125 50  n 130 1 ; 0.008; 0.8% 125 36. 0.45 = 45% 130 130 0.3846  n 38.46% 44. 70 is what percent of 180? 0.45  45  9 70  n 180 100 20 70  n 180 9 ; 0.45; 45% 20

What is 20% of 85? n = 20%  85 n = 0.2  85 n = 17

is 25% of 92? n = 25%  92 n = 0.25  92 n = 23

43.

what

37.

38. What

n = 162%  60 n = 162  60 n = 97.2

39. Find 162% of 60.

25%

number? 25% n  15 0.25n  15 180 180 0.3889  n 38.89%

14? n  70  14 n  70  14 70 70 n  0.2 20%

40. 15 is

of what

45. What percent of 70 is

students are sophomores.

0.25n  15 0.25 0.25 n  60

n = 64%  150 n = 0.64  150 n = 96

trucks had four-wheel drive.

75% n  30 0.75n  30 0.75n  30 0.75 0.75 n  40

30 is 75% of what number?

147.2? 92% n  147.2 0.92n  147.2 48. 49. n  61%  6832 0.61n  6832 0.61n  6832 0.61 0.61 n  11,200

years ago, it was worth $11,200. n 12%  9624 0.12n  9624 0.12n  9624 0.12 0.12 n  80,200

42. 92% of what number is

Two

total budget

0.92n  147.2 0.92 0.92 n  160 50. Days = 29 + 31 + 30 = 90 Rain days = 20 + 18 + 16 = 54 90  n  54

was $80,200.

51. 600  n  45 600

0.075 7.5% of the applicants obtained a job.

52. What is 5% of 3670?

n = 5%  3670

n = 0.05  3670

n = 183.5 He paid $183.50.

53. What is 6% of 12,600?

n = 6%  12,600

n = 0.06  12,600

n = 756 They paid $756.

54. Commission  6% 83,500

0.0683,500

5010 His commission was $5010. 55. Commission  7.5%16,000

58. Increase = 8893 5000 = 3893

3893

100  3893

389,300

5000

77.86

78 78% was the percent of increase.

59. a. Discount  14% of 24,000

0.14  24,000

$3360 The discount is $3360.

b. Cost = 24,000 3360 = $20,640.

60. I = P  R  T

a. I = 6000(0.11)(0.5) = $330 In six months, she will earn $330.

b. I = 6000(0.11)(2) = $1320 In

How

Chapter 5: Percent ISM: Basic College Mathematics

137

 n  45

p 

600 600



100

p 

5000 p 

5000

p 

5000 5000





 0.07516,000  1200 She earned $1200. 56. a. Discount  25%$1450  0.251450  362.5 61. a. 3 months  3  1 year 12 4 I  P  R T  3000 8% 1 4  3000  0.08 1 $362.50 was the discount. b. Total pay  $1450 $362.50  1087.5 4  240  1 4  60 $1087.50 was the price for the set. 57. Increase = 22,300 18,040 = 4260 In three months $60 will be due. b. I  P  R T p  4260 100 18,040 18,040 p  100  4260 18,040 p  426,000 18,040 18,040 p  23.61 This was a 23.61% increase.  3000 8% 3  3000  0.08 3  240 3  720

three years $720 will be due.

two years, she will earn $1320.

Am I

5 Test 1. 0.57 = 57% 2. 0.01 = 1% 3. 0.008 = 0.8%

Doing? Chapter

4. 12.8 = 1280%

5. 3.56 = 356%

Chapter 5: Percent ISM: Basic College Mathematics Copyright © 2017 Pearson Education, Inc. 139 1 6. 71 100  71% 15. 152%  152  38  1 13 100 25 25 7. 1.8  1.8% 3 7 3 3 31 1 31 100 16. 7 %  4  7 100    3 1 8. 7  3 % 100 7 0.475 9. 40 19.000 16 0 3 00 2 80 200 4 100 4 4 100 400 17. n = 40%  50 n = 0.4  50 n = 20 18. 33.8  26% n 33.8  0.26n 33.8  0.26n 0.26 0.26 130  n 200 0 19  0.475  47.5% 40 19. n  72  40 n  72  40 72 72 n  0.5556  55.56% 10. 0.75 36 27.00 25 2 1 80 1 80 0 27  75% 20. n = 0.8%  25,000 n = 0.008  25,000 n = 200 21. 16% n  800 0.16n  800 0.16n  800 0.16 0.16 n  5000 36 22. 92  n  200 3 92  n  200 11. 75 225 225 0 225  3  300% 75 0.75 200 200 n  0.46 n  46% 23. 132% 530  n 1.32  530  n 699.6  n 12. 4 3.00 2 8 20 20 0 24. p  75  15 75p  15 75 75 p  0.2  20%

Chapter 5: Percent

ISM: Basic College

Chapter 5: Percent

Copyright © 2017 Pearson Education, Inc. 141 26. a. 33% 457  n 0.33 457  n 150.81  n $150.81 is the discount. b. 457 150.81 = 306.19 $306.19 is the amount they paid. 29. 5160  43% n 5160  0.43n 5160  0.43n 0.43 0.43 12,000  n There are 12,000 registered voters. 27. 75  n84 75  n 84 84 84 30. a. I  P  R T  3000  0.16  6 12 In six months she paid $240.  240 n  0.8929 89.29% of the parts were not defective. 28. Increase = 228 185 = 43 b. I  P  R T  3000  0.16  2  960 In two years she paid $960. p  43 100 185 185p  100  43 185p  4300 185 185 p  23.24 23.24% is the percent of increase.

ISM: Basic College Mathematics