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Question

Initially, there are 5,000 sh in a pond and the population is increasing by 2.1%

each year. That is, the population of sh after t years is P(t) = 5000(1:021)t. When will the

population reach 10,000 sh?

Answer 1

10000 = 5000(1.02)^t           substitution of values

2 = 1.02^t                           divide both sides by 5000

ln 2 = t ln 1.02                   take ln of both sides

0.6931 ≈ t (0.0198)            calculate

35.000 ≈ t