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24 September, 02:05

2) The fish population in a local stream is decreasing at a rate of 3% per year. The population in 2005 was 48,000. What is the population now?

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  1. 24 September, 05:54
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    30396 fish.

    Step-by-step explanation:

    We are in 2020, that is, 15 years have passed since 2005, to calculate the population it would be:

    The first year there would be 48,000, then each year it decreases by 3%, that is, the first one was like this:

    48000 - 48000 * 0.03

    That is to say:

    48000 * (1 - 0.03)

    Now, depending on the year number it would be:

    48000 * (1-0.03) ^ n

    But how were 15 years n = 15, then:

    48000 * (1-0.03) ^ 15 = 30396.057

    The fish population would be 30396 fish.
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