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# population increase

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Manager
Joined: 04 Sep 2006
Posts: 113

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04 Jun 2009, 11:41
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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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Intern
Joined: 27 Apr 2009
Posts: 12

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04 Jun 2009, 12:34
I calculated at all in less than 2 minutes and final answer is [(51/50)^3 * (26/25)^10 * P].

Senior Manager
Joined: 16 Jan 2009
Posts: 339
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)

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04 Jun 2009, 12:55
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

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Lahoosaher

Intern
Joined: 27 Apr 2009
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04 Jun 2009, 13:15
Hey amolsk11,

my answer is [(51/50)^3 * (26/25)^10 * P] that is [(1.02)^3 * (1.04)^10 * P]
Senior Manager
Joined: 16 Jan 2009
Posts: 339
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)

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04 Jun 2009, 15:52
You are right , it should be [(1.02)^3 * (1.04)^10 * P].
Thanks for pointing out.

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Lahoosaher

Re: population increase &nbs [#permalink] 04 Jun 2009, 15:52
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