A major fishing company does its fishing in a local lake. The first year of the company’s operations it managed to catch 95,000 fish. Due to

Question

A major fishing company does its fishing in a local lake. The first year of the company’s operations it managed to catch 95,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 4% each year. How many total fish did the company catch over the first 14 years, to the nearest whole number?

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Tryphena 5 months 2021-08-26T05:08:22+00:00 1 Answers 15 views 0

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    2021-08-26T05:09:52+00:00

    Answer:

    54,265 fishes

    Step-by-step explanation:

    The formula for Population decrease =

    P(t) = Po × e^-rt

    Where

    P(t) = Population after time t

    Po = Initial population = 95000

    r = decrease rate = 4% = 0.04

    t = time in years = 14

    Hence

    P(t) = 95,000 × e ^- 0.04 × 14

    P(t) = 95,000 × e^-0.56

    P(t) = 54264.861066 fishes

    Approximately = 54,265 fishes

    The total fish the company caught over the first 14 years, to the nearest whole number is 54,265 fishes

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