The document presents various financial calculations and scenarios involving variables such as interest rates of 8-12%, periods of 10 years, and initial values of $100 for accounts A and B that grow at compound rates. It also includes tables showing the values of accounts A and B over time under different growth rate assumptions. The conclusions reached are that account A would be worth more than account B after 10 years if A grows at 30-50% for periods while B only grows at a flat 8% rate.

1. 3

2. 880
36,500 3,000
12% 30 880
4

3. 8
8
2000
2
5

4. 10 2% 30
12% 30
(1+2%)30-1
10 405
2%
(1+12%)30-1
10 2,413
12%
72
72
8% 9 (72 8=9)
12% 6
12 4 18 8 24 16
6

5. A 25 60
p.195 5 12% 12 6.3528=76.23
60 55 1296
p.192 25 12% 76.23 17=1296
B 25 35
20 240 (1 12 20=240
12% 55 864
p.195 20 12% 12 72.05=864
A 10 B 1/4
50%
A B
1 1 12
2 1 12 A 1 12 5
3 1 12 60
4 1 12
5 1 12
6
60
10 1 12
B 1 12 20
11 1 12
240
30 1 12
1296 864
7

6. 1 2 3 4 5 6 7 8 9 10
A 30% 50% -30% 30% -40% 30% 50% -40% 20% 30%
100 130 195 136.5 177.45 106.47 138.41 207.62 124.57 149.49 194.33
B 8% 8% 8% 8% 8% 8% 8% 8% 8% 8%
100 3108 116.64 125.97 136.05 146.93 158.69 171.38 185.09 199.9 215.89
A 100 10 3
30% 50%
10 100 194
100 10 8%
B
10 100 215
8% 30% 50%
B
A
10 B
8

7. 4.6%
1.8%
91.5%
2.1%
90
90%
10%
9

8. 10,000 6 10000 6 60,000
18 20 4,228 10000 / 10+10000 / 12+10000 / 14…..
16
6 84,560 20 4,228
14
10 12
24,560 84,560 60,000
10,000 6 10000 6 60,000
10
8,500 10000 / 10+10000 / 8+10000 / 5…..
10 8 8
5 5 6 10 8,500
85,000
85,000 60,000
25,000
10,000 6 10000 6 60,000
26,250 10000 / 10+10000 / 8+10000 / 5…..
10 8
5 5
6 131,250 5 26,250
1 1
71,250 131,250 60,000
10

9. 10%
10% 60
10%
60 10%
10% 10%
10%
11

10. 12
10%
15%
20%
25%
30%
35%
40%
0%
5%
19
74
19
76
19
78
19
80
19
82
19
84
19
86
19
88
19
90
19
92
19
94
19
96
19
98
20
00
20
02
20
04
0%
1%
2%
3%
4%
5%
6%
7%
8%
9%
10%

11. 4% 2% 6%
35 30 25 20 15 10
6,973 5,129 3,672 2,522 1,627 934
15,840
23% 19% 15% 11% 8% 5%
10,583 7,786 5,573 3,828 2,468 1,414
24,000
23% 19% 15% 11% 8% 5%
13,369 9,837 7,042 4,839 3,121 1,790
30,300
23% 19% 15% 11% 8% 5%
16,836 12,388 8,867 6,091 3,926 2,249
38,200
23% 19% 15% 11% 8% 5%
21,240 15,628 11,180 7,683 4,953 2,838
48,200
23% 19% 15% 11% 8% 5%
26,841 19,744 14,132 9,714 6,272 3,591
60,800
23% 19% 15% 11% 8% 5%
32,135 23,629 16,914 11,629 7,497 4,295
72,800
23% 19% 15% 11% 8% 5%
39,535 29,538 21,321 14,690 9,481 5,435
92,100
22% 19% 15% 11% 8% 5%
48,923 37,254 27,663 19,780 13,301 7,975
150,000
17% 14% 12% 9% 7% 5%
35 38,200 25
60 8,867
15%
13

12. 14

13. 15

14. 72
8% 9 2
72 8 9
16

15. 17