Business Mathematics In Canada 10th
edition F. Ernest Jerome, Tracy Worswick
1 Review and Applications of
Basic Mathematics
Exercise 1.1
a. 10 + 10 x 0 = 10 + 0 = 10
b. 2x2+4–8=4+4–8=0
c. (10 + 10) x 0 = 20 x 0 = 0
d. 2 x (2 + 4) – 8 = 2 x 6 – 8 = 12 – 8 = 4
e. 0 + 3 x 3 – 32 + 10 = 0 + 9 – 9 + 10 = 10
f. 12 – 2 x 5 + 22 x 0 = 12 – 10 + 4 x 0 = 12 – 10 + 0 = 2
g. 0 + 3 x 3 – (32 + 10) = 0 + 9 – 19 = -10
h. (12 – 2) x (5 + 22) x 0 = 10 x 9 x 0 = 0
22 - 4 4-4 0
i. 2
= 2
= =0
(4- 2) 2 4
(2 - 4)2 (-2)2 4
= = =4
j. 5- 22 5- 4 1
1. 20 4 2 8 20 8 8 4
2. 18 3 6 2 6 12 18
3. 20 4 2 8 16 2 8 32 8 24
4. 18 3 6 2 18 9 2 2 2 4
5. 20 4 2 8 20 8 8 20
6. 18 3 6 2 6 6 2 24
7. 54 36 4 2 2 54 9 4 49
8. 5 32 3 2 9 3 8 2 9 9 3 64 1 3 66
, 9. 54 36 4 2 2 18 6 2 18 36 0.5
10. 5 3 2 3 2
9 3 5 9 3 2 12 5 36 12 5 3 8
82 42 64 16 48
11. 6
4 2 3
2 3 8
12.
8 42
42
16
4
4 23 48 4
13. 36 4 2 517 20 2 3 10 2 5 3 2 3 100 5 9 300 45 255
14. 4 3 22 4 3 2 2 12 22 4 3 4 10 2 4 12 100 8 12.5
15. 20 8 5 7 3 9 20 40 21 9 81 9 9
2
16. 5 19 5 2 16 5 19 25 16 2 519 812 5 100 2 50 ,000
2 2
17. $1001 0.06 365
45
$1001 0.00739726 $100.74
$200 $200 $200
18. $194.17
1 0.09 12 1 0.03 1.03
4
$500 $500 $500
19. $453.51
1 0.05 2
1.05 2
1.1025
20. $1000 1 0.02 $1000 1.023 $1000 1.061208 $1061.21
3
1 0.042 1 1.04 2 1
$100
0.0816
21. $100 $100 $204.00
0.04 0.04 0.04
1 1
1 2 1
22. $300
1 0.03 $300 1.0609 $300 1 0.942596 $574.04
0.03 0.03 0.03
Concept Questions (Section 1.2)
1. You must retain at least one more figure than you require in the answer. To achieve four-
figure accuracy in the answer, you must retain a minimum of five figures in the values
used in the calculations. B)
2. We want six-figure accuracy in the answer. Therefore, values used in the calculations
must be accurate to at least seven figures. B)
3. We want seven-figure accuracy in the answer. Therefore, values used in the calculations
must retain at least eight figures. C)
4. To be accurate to the nearest 0.01%, an interest rate greater than 10% must have four-
figure accuracy. Therefore, five figures must be retained in numbers used in the
calculations. C)
,Exercise 1.2
a. = 0.10 = 10%
b. = 0.40 = 40%
c. = 0.25 = 25%
d. = 0.75 = 75%
e. = 1.50 = 150%
f. = 2.3333 = 233.33%
g. = 2.00 = 200%
h. 5 = 5.6667 = 566.67%
i. 0.25 x 80 = 20
j. 0.20 x 120 = 24
k. Money in Savings = 0.20 x $1000 = $200
Money in TFSA = 0.50 x $200 = $100
1. 7
8
0.87500 87.500%
2. 65
104
0.62500 62.500%
3. 47
20
2.3500 235.00%
4. - 169 = -0.56250 = -56.250%
5.
7
6. 1 25 1.2800 128.00%
7. 25
1000
0.025000 2.5000%
8. 1000
25
40.000 4000.0%
9. 2
2 100 2.0200 202.00%
10. 1 32
11
1.3438 134 .38%
11. 37.5
50
0.75000 75.000%
12. 22.5
12
1.8750 187.50%
13. 5
6
0.83 83. 3%
14. 8
3
2. 6 266. 6%
15. 7 79 7.7 777.7%
1 1. 09 109. 09%
16. 1 11
, 17. 10
9
11
. 1111
.%
18. ̅ ̅
19. 270
7
0.0259 2.592%
20. 37
27
1. 370 137. 037%
21. 11.3845 11.38
22. 9.6455 9.646
23. 0.5545454 0.5545
24. 1000.49 1000
25. 1.0023456 1.002
26. 0.030405 0.03041
27. 40.09515 40.10
28. 0.0090909 0.009091
29. 1
6
0.16667 16.667%
30. 7
6
1.1667 116.67%
31. 1
60
0.016667 16667
. %
32. 2 59 2.5556 255.56%
33. 250
365
0.68493 68.493%
34. 15
365
0.041096 4.1096 %
35. 0 .11 0.0091667 0.91667%
12
36. 0.095
12
0.0079167 0.79167 %
37.
$92 1 0.095 112
365
$92 1.02915 $94.68
38.
$100 1 0.11 12
5 $100 1.04583 $104.58
39.
$454.76 1 0.105 12
11 $454.76 0.903750 $410.99
40. ( )
= 0.550707 = 0.55
41. ( ) ( ) = $1447 (1.295029) (1.1449) = $2145.44
$790.84 $790.84
42. = = $711.98
1+ 0.13´ 365 1.110767
311