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In the early steps of SARS epidemic in China, there were 100 persons infected. Then each day the number increases by 5%.
After how many days would 500 persons be affected?
Its my problem it Gen Math 11th grade.
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I assume that the condition means "Then each day the number of affected increases by 5%"
I made this table using MS EXcel in my computer.
day N of people infected: = =
1 100.00
2 105.00
3 110.25
4 115.76
5 121.55
6 127.63
7 134.01
8 140.71
9 147.75
10 155.13
11 162.89
12 171.03
13 179.59
14 188.56
15 197.99
16 207.89
17 218.29
18 229.20
19 240.66
20 252.70
21 265.33
22 278.60
23 292.53
24 307.15
25 322.51
26 338.64
27 355.57
28 373.35
29 392.01
30 411.61
31 432.19
32 453.80
33 476.49
34 500.32
35 525.33
36 551.60
If you and your teacher accept it, then OK.
Somebody can criticize me for that my table contains non-integer numbers.
OK, then let somebody will prepare better solution.
On geometric progressions, see the lessons in this site
- Geometric progressions
- The proofs of the formulas for geometric progressions
- Problems on geometric progressions
- Word problems on geometric progressions
- One characteristic property of geometric progressions
- Solved problems on geometric progressions
- Fresh, sweet and crispy problem on arithmetic and geometric progressions
- Mathematical induction and geometric progressions
- Mathematical induction for sequences other than arithmetic or geometric
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic "Geometric progressions".