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7 July, 21:20

A population of 6000 animals decrease at an annual rate of 0.7%. What is the expected population in 12 years? Round your answer to the nearest whole number.

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  1. 7 July, 21:27
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    The population is expected to be 5515 animals in 12 years.

    Step-by-step explanation:

    This problem can be solved by using a compounded interest formula with a negative interest rate, since the number of animals are decreasing. We have:

    final population = initial population * (1 - r) ^ (t)

    Where r is rate of decline and t is the time elapsed. Applying the data from the question we have:

    final population = 6000 * (1 - 0.007) ^ (12)

    final population = 6000 * (0.993) ^12 = 5514.9582 animals

    The population is expected to be 5515 animals in 12 years.
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