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20 January, 07:36

A certain forest covers an area of 1600 km 2. Suppose that each year this area decreases by 5.25 %. What will the area be after 5 years?

Use the calculator provided and round your answer to the nearest square kilometer.

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  1. 20 January, 07:38
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    For this case we can model the problem with the following exponential equation:

    A (t) = 1600 * (0.9475) ^ t

    Where,

    t: time in years

    Substituting for t = 5 years we have:

    A (5) = 1600 * (0.9475) ^ 5

    A (5) = 1221.844887

    round to the nearest square kilometer:

    A (5) = 1222 km ^ 2

    Answer:

    the area after 5 years will be:

    A (5) = 1222 km ^ 2
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