How much time would it take for a population to double at a rate of 8.2% per year continuously?

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15-06-2018
Mathematics

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How much time would it take for a population to double at a rate of 8.2% per year continuously?

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sqdancefan sqdancefan · Answer 1 · 2018-06-15T07:42:25+02:00

sqdancefan sqdancefan

15-06-2018

You want to find t such that
2 = 1·e^(0.082t)
ln(2) = 0.082t . . . . . take the natural log
ln(2)/0.082 = t ≈ 8.453

It would take about 8.5 years for a population to double at 8.2% per year.

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