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20 November, 23:40

A nest of ants initially contains 500 individuals. The population is increasing by 12% each week.

a) How many ants will be there after:

i. 10 weeks

ii. 20 weeks

b) How many weeks will it take for the ant population to reach 2000.

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Answers (1)
  1. 21 November, 01:07
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    A) 4, 823

    B) 13 Weeks

    A: 500 (1 +.12) ^x (which is 500 (1 +.12) ^20 now)

    = 4823. 15 which is ≈ 4823.

    B: 2000 / y1 = 500 (1 +.12) ^x / y2

    12.23 so 13 weeks
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