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

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 16 years.

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

This will occur during the year  .
Apr 15th, 2015

Let y=ae^(kt), a=146000

Half life is 16 years, 292000=146000e^(16k), ln(2)=16k, k=0.043

So 500000=146000e^(0.043), ln500000-ln146000=0.043t, t=29

This will occur during the year 2006+29=2035.

Let me know how it goes, thanks.

Apr 15th, 2015

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Apr 15th, 2015
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Apr 15th, 2015
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