(d) Estimate when the population will reach 500,000. This will occur during the

Algebra
Tutor: None Selected Time limit: 1 Day

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 16th, 2015

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

(d)  n(t) = 146,000 (2^(t/18))

500,000 = 146,000 (2^(t/18))

500,000/146,000 = 2^(t/18)

ln (500,000/146,000) = (t/18) ln 2

t  = [ ln (500,000/146,000) ] / [ ln 2 ]  x 18 

   =  32

This will occur during the year 2006 + 32 = 2038.


Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 16th, 2015

it actually 2037

Jul 16th, 2015

That might be rounding issue. I kept all the numbers original and round it at the end.

Jul 16th, 2015

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Jul 16th, 2015
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Jul 16th, 2015
Dec 8th, 2016
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