The population of a school of fish increases at an annual rate of 18%. there are currently 500 fish in the school. how many fish will there be in 12 years

Question

Siena Ross

Mathematics

24 November, 03:07

The population of a school of fish increases at an annual rate of 18%. there are currently 500 fish in the school. how many fish will there be in 12 years

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Naomi Hicks · Answer 1

This is a geometric sequence with the first term 500, common ratio is (100 + 18) / 100 = 1.18 and number of terms is 12.

Tn = ar^ (n - 1)

T12 = 500 x 1.18^ (12 - 1) = 500 x 1.18^11 = 500 x 6.176 = 3,087.96

Therefore, there is 3,088 fishes in the school in 12 years.