Population Growth Question
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Population Growth Question

[From: ] [author: ] [Date: 12-10-02] [Hit: ]
If this trend continues, in how many years will the the city be growing by 1,200 people per year?plugging in,1200 = 45000*.021e^(.......
The population of a city is 45,000. The city grows continuously by 2.1% per year.

If this trend continues, in how many years will the the city be growing by 1,200 people per year?

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A = Pe^rt
A' = Pre^rt

plugging in, we have
1200 = 45000*.021e^(.021t)
e^(.021t) = 1200/945
.021t = ln(1200/945)
t = ln(1200/945)/.021 = 11.376 yrs <------
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