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Solutions Manual For Thinking Mathematically 8th Edition By Robert Blitzer (All Chapters, 100% Original Verified, A+ Grade)

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SOLUTIONS MANUAL
DANIEL S. MILLER


THINKING M ATHEMATICALLY
EIGHTH EDITION



Robert Blitzer




Part 2: Ch 8-14: Page 2-343
Part 1: Ch 1-7: Page 344-721

, Chapter 8
Personal Finance

Checkpoints 8.1 20% of $960 = 0.20  $960 = $192
Taxes for year 2 are $960 + $192 = $1152
1
1. Step 1: = 1  8 = 0.125
8 $1200 − $1152 $48
b. = = 0.04 = 4%
Step 2: 0.125 100 = 12.5 $1200 $1200
Step 3: 12.5% Taxes for year 2 are 4% less than the original
amount.
2. 0.023 = 2.3%

3. a. 67% = 0.67 Concept and Vocabulary Check 8.1

b. 250% = 2.50 = 2.5 C1. 100

4. a. 6% of $1260 = 0.06  $1260 = $75.60 C2. 7; 8; 100; a percent sign
The tax paid is $75.60
C3. two; right; a percent sign
b. $1260.00 + $75.60 = $1335.60
C4. two; left; a percent sign
The total cost is $1335.60
C5. tax rate; item’s cost
5. a. 35% of $380 = 0.35  $380 = $133
The discount is $133 C6. discount rate; original price
b. $380 − $133 = $247 C7. the amount of increase; the original amount
The sale price is $247
C8. the amount of decrease; the original amount
amount of increase
6. a. Percent of increase = C9. false; Changes to make the statement true will vary.
original amount
A sample change is: Only 6 reindeer remain.
4
= = 0.66 23 = 66 23 %
6 C10. false; Changes to make the statement true will vary.
A sample change is: You spent $500 on gifts.
amount of decrease
b. Percent of decrease =
original amount
4 Exercise Set 8.1
= = 0.4 = 40%
10
2
1. = 2  5 = 0.4 = 40%
7. Amount of decrease: $940 − $611 = $329 5
amount of decrease $329
= = 0.35 = 35% 3
original amount $940 2. = 3  5 = 0.6 = 60%
5
There was a 35% decrease in price.

8. Amount of increase: 12% − 10% = 2% 9
9 10 0.9 90%
amount of increase 2% 10
= = 0.2 = 20%
original amount 10%
3
There was a 20% increase for this episode. 4. = 3  4 = 0.75 = 75%
4

3
3 6 0.5 50%
9. a. 20% of $1200 = 0.20  $1200 = $240 6
Taxes for year 1 are $1200 − $240 = $960




Copyright © 2024 Pearson Education Ltd. 379

,Chapter 8 Personal Finance


7 5
6. = 7  8 = 0.875 = 87.5% 31. % = 0.625% = 0.00625
8 8

1 1
7. = 1  40 = 0.025 = 2.5% 32. % = 0.125% = 0.00125
40 8

3 1
8. = 3  40 = 0.075 = 7.5% 33. 62 % = 62.5% = 0.625
40 2

9 1
9. = 9  80 = 0.1125 = 11.25% 34. 87 % = 87.5% = 0.875
80 2

13 35. A = PB
10. = 13  80 = 0.1625 = 16.25% A = 0.03  200
80
A=6
11. 0.59 = 59%
36. A = PB
12. 0.96 = 96% A = 0.08  300
A = 24
13. 0.3844 = 38.44%
37. A = PB
14. 0.003 = 0.3% A = 0.18  40
15. 2.87 = 287% A = 7.2

16. 9.83 = 983% 38. A = PB
A = 0.16  90
17. 14.87 = 1487% A = 14.4
18. 19.63 = 1963% 39. A = PB
3 = 0.60  B
19. 100 = 10,000%
3 0.60 B
=
20. 95 = 9500% 0.60 0.60
5=B
21. 72% = 0.72
40. A = PB
22. 38% = 0.38 8 = 0.40  B
23. 43.6% = 0.436 8
=
0.40 B
0.40 0.40
24. 6.25% = 0.0625 20 = B
25. 130% = 1.3 41. A = PB
40.8 = 0.24  B
26. 260% = 2.6
40.8 0.24 B
=
27. 2% = 0.02 0.24 0.24
170 = B
28. 6% = 0.06
42. A = PB
1 51.2 = 0.32  B
29. % = 0.5% = 0.005
2 51.2 0.32 B
=
3 0.32 0.32
30. % = 0.75% = 0.0075 160 = B
4



380 Copyright © 2024 Pearson Education Ltd.

, Section 8.1 Percent, Sales Tax, and Discounts


43. A = PB 61 − 25 36
3 = P 15 54. = = 1.44 = 144%
25 25
3 P 15
=
15 15 840 − 714
55. = 0.15 = 15%
0.2 = P 840
P = 20%
380 − 266
56. = 0.30 = 30%
44. A = PB 380
18 = P  90
57. Amount after first year
18 P  90
= = 10,000 – (0.3)(10,000)
90 90 = $7000
0.2 = P Amount after second year
P = 20% = 7000 + (0.4)(7000)
= $9800
45. A = PB Your adviser is not using percentages properly.
0.3 = P  2.5 Actual change:
0.3 P  2.5 10,000 − 9800
= = 0.02 = 2% loss.
2.5 2.5 10,000
0.12 = P
58. The salesman is misusing percentages.
P = 12% 100% − 30% = 70%
46. A = PB 20% of 70% = 0.70(0.20) = 0.14 = 14%
0.6 = P  7.5 Percent reduction = 30% + 14% = 44%
0.6 P  7.5
= 59. - 64. Answers will vary.
7.5 7.5
0.08 = P 65. does not make sense; Explanations will vary.
P = 8% Sample explanation: 20% of $80 is $16. This will
make the total $96.
47. a. (0.06)(32,800) = $1968
66. does not make sense; Explanations will vary.
b. 32,800 + 1968 = $34,768 Sample explanation: A price can not drop more than
100%.
48. a. (0.07)(96) = $6.72
67. does not make sense; Explanations will vary.
b. 96 + 6.72 = $102.72 Sample explanation: Since 1.011.01 = 1.0201 the
percent of increase is 2.01%.
49. a. (0.12)(860) = $103.20
68. does not make sense; Explanations will vary.
b. 860 – 103.20 = $756.80 Sample explanation: The increase is
30% − 20% 10% 1
= = = 0.5 = 50% .
50. a. (0.40)(16.50) = $6.60 20% 20% 2
b. 16.50 – 6.60 = $9.90 69. First, find the discount amount.
15%  $720 = 0.15  $720 = $108
70 Next, find the sales price.
51.  0.192 = 19.2%
365 $720 − $108 = $612
Then, find the tax.
52.
37
 0.101 = 10.1% 6%  $612 = 0.06  $612 = $36.72
365 Finally, find the total cost.
$612 + $36.72 = $648.72
71 − 25 46 Percent reduction = 30% + 14% = 44%
53. = = 1.84 = 184%
25 25



Copyright © 2024 Pearson Education Ltd. 381

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