Applications of percentages, algebra and use of calculator
Question 1
$514
Question 2
a. 1470.084
b. 1.766
c. 53.65
d. 2.325
Question 3
5%
Question 4
$1530.51
Question 5
$6062.20
Question 6
$3850.80
Simple and Effective rate
of interest
Question 2
$1711
Question 3
2 years
Question 4
$5582.33
Question 5
a. 11.25%
b. $627.03
Compound interest
Question 2
5% p.a
Question 3
8.75 years or 8 years and 9 months
Question 4
a. $35016.15
b. 9056.15
Question 5
$9658.92
Question 6
a. John
| Year |
Interest |
Accumulated Value |
| 0 |
- |
6000 |
| 1 |
450 |
6450 |
| 2 |
450 |
6900 |
| 3 |
450 |
7350 |
| |
1350 |
|
Cathy
| Year |
Interest |
Accumulated Value |
| 0 |
- |
6000 |
| |
180 |
6180 |
| 1 |
185.40 |
6365.40 |
| |
190.96 |
6556.36 |
| 2 |
196.69 |
6753.05 |
| |
202.59 |
6955.64 |
| 3 |
208.67 |
7164.31 |
| |
1164.31 |
|
b. John is beeter off
Annuities
Question 1
$20995.06
Question 2
$7191.23
Question 3
$438.12
Question 6
$368.92
Depreciation
Question 1
$16523
Question 2
a. $3200
b. 15.69%
c.
| Year |
Depreciation $ |
Accumulated Depreciation $ |
Book Value $ |
| 0 |
- |
- |
20 400 |
| 1 |
3200 |
3200 |
17 200 |
| 2 |
3200 |
6400 |
14 000 |
| 3 |
3200 |
9600 |
10 800 |
| 4 |
3200 |
12800 |
7 600 |
| 5 |
3200 |
16000 |
4 400 |
Question 4
a. $0.30 per km
b. $3050
Question 5
| Year |
Depreciation $ |
Accumulated Depreciation $ |
Book Value $ |
| 0 |
- |
- |
1500 000 |
| 1 |
37500 |
37500 |
112 500 |
| 2 |
28125 |
65625 |
84 375 |
| 3 |
21093.75 |
8718.75 |
63 281.25 |
| 4 |
15820.31 |
102539.06 |
47 460.94 |
Graphing and
Break-even analysis
Question 2
X = 1, Y = 2
Question 3
a.
b. $160 per dryer
c. $4000
d. 160 + 4000
e. 200
g. 100 dryers
h. $6000
