Appendix 2: Exercise Solutions

Section 2.1

1. 15

2. 10

3. 40

4. 100

5. 55

6. 10

7. $21.70

8. $7,645.52

9. $19,215.37

10. 400

11. $25,967.38

12. $1,345.87

13. $5,978.08

14. $1,056,767.41

15. $2,156,764.06

16. $41,271.46

17. $83,228.60

18. $2,339.07

19. $26,450.25

20. $14,561.43

Section 2.2

1a. proper

1b.compound

1c.improper

1d. proper

1e. complex

1f. improper

1g. complex

1h.proper

2a. 3/4=27/36

2b. 2/8=16/64

2c. 2/5=18/45

2d. 5/6=75/90

3a.

    \[ \frac  {5 \times 2}{10 \times 2} = \frac {10}{20}     \frac {5 \div 5}{10 \div 5} = \frac {1}{2} \]

3b.

    \[ \frac  {6 \times 5}{8 \times 5} = \frac {30}{40}     \frac {6 \div 2}{8 \div 2} = \frac {3}{4} \]

4a. 0.875

4b. 16.25

4c. 2.6

4d. 135.5

5a. 0.875

5b. 16.250

5c. 1.111

5d. 0.469

6a.

    \[ 0.08 \overline 3 \]

6b.

    \[ 5.2 \overline 4 \]

6c.

    \[ 1. \overline 3 \]

6d.

    \[ -0.30 \overline 9̅ \]

7a. 5.95

7b. 15.3125

8a. 1.04

8b. 0.96

8c. 9.64

9a.

    \[ 3. \overline 20 \]

9b. 0.5

10. $1,182.14

11. $14,005.26

12. $525,745.68

13. $2,693.13

14. $149,513.74

15. $4,450.29

16. $9,579.23

17. $138,934.38

18. $12,252.25

19. $267,952.30

20. $1,041.58

Section 2.3

1a. 46.38%

1b. 315.79%

1c. 0.0138%

1d. 1.5%

2a. 37.5%

2b. 53.125%

2c. 350%

2d. 280%

3a.

    \[ 383. \overline 3  \% \]

3b.

    \[ 22. \overline 2  \% \]

3c.

    \[ 27. \overline 27  \% \]

3d.

    \[ 51. 6129 \% \]

4a. 0.153

4b. 0.0003

4c. 1.53987

4d. 0.140005

5. 67.5%

6. $2,500

7. $0.003061

8. 3,862,105

9. $608,600

10. 8.2358%

11. 7,325

12. $147.8 billion

13. $8.50

14. 1.48%

15. 13.0235%

16. $124,722.22

17. $20,000,000

18. $128,000.03

19. share price = $12.36

Money made = $2,360

20. 116. 6̅%

Section 3.1

1. D$ = $411.60; N = $568.40

2.L = $800; D$ = $200

3. d = 42.625%; N = $1,133.16; D$ = $841.84

4. d = 26.7904%; L=$500; D$ = $133.95

5. $259.97

6. $24.32

7. 31.985%

8. $19.99

9. d = 43.972%; L = $51.76

10. L = $24; N = $13.92

11. d = 62.8%; L = $700; D$ = $439.60

12. d = 26%; N = $303.99; D$ = $96

13. $1,026

14. d = 63.14%; N = $29.49

15. $1,194,553.06

16. 2 years 216 days

17. Reduced by 17.4154%

18a. 3%

18b. $2.50

19a. 52.2328%

19b. $3,073.82

20a. $74.99

20b. $60.91

20c. L = $78.74; N = $63.96; D$ = $14.78

Section 3.2

1. S=$321.95; SBE =$236.95; M$=$133.53; MoC%=70.8683%; MoS%=41.4754%

2. C=$653.59; SBE =$849.67; M$=$346.41; MoC%=53.0011%; MoS%=34.6413%

3. C=$118.25; S=$301.53; E=$153.13; MoS%=60.7833%; SBE =$271.38

4. M$=$96.25; P=$41.25; C=$178.74; SBE =$223.74

5. C=$744.83; S=$1,284.83; P=$204.83; MoC%=72.5%; MoS%=42.0289%

6. M$=81.60; S=$201.60; E=$51.36; MoS%=40.4762%; SBE =$171.36

7. P=$175; S=$1,447.37; C=$1,172.37; MoC%=23.4568%; SBE =$1,272.37

8. C=$220; S=$287.50; M$=$67.50; MoS%=23.4783%; MoC%=30.6818%

9. $112.50

10. 125%

11. $27,996.79

12. $57.05

13a. $733.03

13b. $219.91

13c. 53.3151%

13d. $698.03

14a. $119.95

14b. $40.85

14c. 51.6435%

14d. 34.0559%

14e. 28.8887%

15. $20.82

16. $102.40

17. 42.8571%

18. $488.09

19a. $40.47

19b. $21.79

19c. $62.26

19d. $14.51

19e. $12.20; $2.31 reduction

20a. $12.65

20b. $17.71

20c. $0.63

20d. MoS% = 28.5714%

20e. C = $15.18; S = $21.25; P = $0.76; MoS% = 28.5647%

Section 3.3

1. D$ = $153.95; Sonsale = $285.90

2. S = $299.95; d = 33.3389%

3. D$ = $275; d = 26.1905%

4. Sonsale = $25,525; d = 11.2945%

5. S = $19,701.42; D$ = $6,501.47

6. S = $319.42; Sonsale = $281.09

7. Sonsale = $53.99

8. D$ = $45; d = 52.9474%

9. d = 14.9%

10. S = $133.30; D$ = $93.31

11. Sonsale = $384.99; S = $699.98

12. d = 36.7893

13a. Ponsale = $2.59

13b. P = $74.55

14. d = 10.9512%

15a. Sonsale = $1,519.05

15b. Ponsale = $303.81

15c. S = $2,025.40

15d. P = $810.16

16. Sonsale = $367.20

17a. Sonsale = $282.91

17b. d = 29.2637%

17c. MoS% = 23.8026%

18. D = 32.4325%

19a. Sonsale = $1,680

19b. MoS% when on sale = 32.8571%

19c. Ponsale = $192.00

20a. Sonsale = $1,614.06

20b. S = $2,152.08

20c. M$ = $956.48; MoC% = 80%

Section 4.1

1. Stax = $682.49

2. Stax = $750.74

3. Stax = $747.49

4. Stax = $727.99

5. S = $796.45; HST Tax Amount = $103.54

6. S = $818.17; GST Tax Amount = $40.91; PST Tax Amount = $40.91

7. January Remit $5,471.40; February Refund $2,202.96

8. Winter Remit $7,171.20; Spring Refund $1,025.25; Summer Remit $9,803.30; Fall Refund $1,191.65

9a.Alberta is best = $1,396.45

9b. Savings = $17.48

10. S = $529.99; GST Tax Amount = $26.50

11. Can’t purchase at Stax = $3,050.94; Down Payment = $45.08

12. Stax = $4,477.30; GST Tax Amount = $199.88; PST Tax Amount = $279.83

13. Q1 Remit $17,865; Q2 Remit $35,370; Q3 Refund $8,105; Q4 Refund $24,210

14. March Remit $951.15; April Refund; $1,257.15; May Remit $2,953.65

15. Higher in Ontario by 1.5274%.

16. Total PST = $13.02; Total GST = $52.46; Total HST = $13

17. Remit $378,227.85

18. PST Rate = 9.505%

19a. S = $352.72

19b. S = $1,682.81

19c. S = $19,465.09

19d. S = $4,736.57

20. Remit $31,331.89

Section 4.2

1. $133,568.68

2. $96,513.10

3. $46,744.67

4. Balance Remaining = $21,928.01

5. Balance Remaining = $434,964.99

6. Balance Remaining = $7,065.01

7. $13,692.78

8. $232,444.92

9. $204,664.43

10. $35,901.77

11. $12,872.93

12. $23,372.94

13. $2,654.57

14. $5,479.14

15. $4,241.10

16. $24,772.64

17. $40,608.80

18. N = $13,511.24; Late penalty amount = $519.66

19a. Choose Plan #2

19b. Savings = $724.92

20. $250,214.41

 

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