Asked by Anonymous
A population is currently 400 and growing at a rate of 6% per year.
If the population continues this trend, how many full years does it take to at least double?
If the population continues this trend, how many full years does it take to at least double?
Answers
Answered by
Reiny
number = 400(1.06)^n , n is the number of years
400(1.06)^n ≥ 800
1.06^n ≥ 2
take logs
nlog1.06 ≥ log2
n ≥ log2/log1.06 ........
Interesting sideline: look up "rule of 72" and see how it applies to this question.
400(1.06)^n ≥ 800
1.06^n ≥ 2
take logs
nlog1.06 ≥ log2
n ≥ log2/log1.06 ........
Interesting sideline: look up "rule of 72" and see how it applies to this question.
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