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population increase

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population increase [#permalink] New post 04 Jun 2009, 10:41
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The current population is P. In the future 20 years, the population will increase by 4% every two years. 20 years later, the population will increase by 2% every 4 years. What is the population in the end of the 32nd year?
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Re: population increase [#permalink] New post 04 Jun 2009, 11:34
I calculated at all in less than 2 minutes and final answer is [(51/50)^3 * (26/25)^10 * P].

Plz let me know about the correct answer.
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Re: population increase [#permalink] New post 04 Jun 2009, 11:55
The current population is P. In the future 20 years, the population will increase by 4% every two years. 20 years later, the population will increase by 2% every 4 years. What is the population in the end of the 32nd year?


current population is P

P(n)=p*(1.04)^10+(p*(1.04)^10)*(1.02)^3

:| :roll:
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Re: population increase [#permalink] New post 04 Jun 2009, 12:15
Hey amolsk11,

why you added "p*(1.04)^10" in the final result. please explain it.

my answer is [(51/50)^3 * (26/25)^10 * P] that is [(1.02)^3 * (1.04)^10 * P]
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Re: population increase [#permalink] New post 04 Jun 2009, 14:52
You are right , it should be [(1.02)^3 * (1.04)^10 * P].
Thanks for pointing out.
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Re: population increase   [#permalink] 04 Jun 2009, 14:52
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