The population of a certain city was 146,000 in 2006, and the observed doubling

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The population of a certain city was 146,000 in 2006, and the observed doubling time for the population is 18 years.
(d) Estimate when the population will reach 500,000.

This will occur during the year  .

Jul 15th, 2015

Thank you for the opportunity to help you with your question!

Let the equation of population growth is N(t) = No  * 2^(t/a)

292000= 146000* 2^(18/a)  ; or    2= 2^(18/a) ; solving we get a = 18

hence  we can write  ; 500000=146000* (2)^(t/18)

or 3.42 = 2^(t/18) ;     soling we get  t = 31.93 years

hence Answer : 32 years


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Jul 16th, 2015

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