Without any natural predators rabbits can grow at a rate of 25% each year, if 6 rabbits were introduced into an area how many rabbits can be expected to exist after 10 years

Question

Mathematics

Elliot Arias

16 January, 04:25

Without any natural predators rabbits can grow at a rate of 25% each year, if 6 rabbits were introduced into an area how many rabbits can be expected to exist after 10 years

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Answers (1)

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Kylie Schultz · Answer 1

The growth rate is 25%

Initial population, P = 6

Growth rate, r = 25% = 25/100 = 0.25

Number of years, t = 10

Final population, A = ?

A = P * (1 + r) ^t

= 6 * (1 + 0.25) ^10

= 6 * 1.25^10

= 6 * 9.31

= 55.86

Approximately 56

Therefore, approximately 56 rabbits can be expected to exist after 10 years