SOLUTION: In the early steps of SARS epidemic in China, thry were 100 persons infected that each day the nunber increase by 5%. After how many days would 500 persons be affected? Its my p

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Question 1089648: In the early steps of SARS epidemic in China, thry were 100 persons infected that each day the nunber increase by 5%. After how many days would 500 persons be affected?
Its my problem it Gen Math 11th grade.

Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.
In the early steps of SARS epidemic in China, highlight%28cross%28thry%29%29 there were 100 persons infected. highlight%28cross%28that%29%29 Then each day the number highlight%28cross%28increase%29%29 increases by 5%.
After how many days would 500 persons be affected?
Its my problem it Gen Math 11th grade.
~~~~~~~~~~~~~~~~~

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:  a%5Bn%2B1%5D = 1.05%2Aa%5Bn%5D = 100%2A1.05%5E%28n-1%29

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".