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If a population growing exponentially double in size in 3 years, what is the intrinsic rate of increase (r) of the population?

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Nt = N0ert

Since Nt = 2; No = 1, e = 2.71828 ; t = 3

2 = (1 × 2.71828)3r

Log 2 = 3 r log (2.71828)

0.3010 = 3 r × 0.4343

r = 0.2310

Intrinsic rate of increase = 23.1 %

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