Thanks to its environmental initiatives, Lexington has cut its annual CO2 emissions by 5%. This year, the town produced 380,000 metric tons

Question

Thanks to its environmental initiatives, Lexington has cut its annual CO2 emissions by 5%. This year, the town produced 380,000 metric tons of emissions. If the downward trend continues, how much CO2 will be produced 3 years from now?

If necessary, round your answer to the nearest whole number.

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Alaia 2 weeks 2021-11-18T08:33:39+00:00 1 Answer 0 views 0

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    2021-11-18T08:34:46+00:00

    Answer:

    Step-by-step explanation:

    If the downward trend continues, it means that the CO2 production will keep on decreasing exponentially by 5%. We would apply the formula for exponential depreciation which is expressed as

    A = P(1 – r)^t

    Where

    A represents the amount of CO2 produced after t years.

    t represents the number of years.

    P represents the initial amount of CO2 produced.

    r represents rate at which its production is reducing.

    From the information given,

    P = 380000

    r = 5% = 5/100 = 0.05

    t = 3

    Therefore

    A = 380000(1 – 0.05)^3

    A = 380000(0.95)^3

    A= 325803 metric tons of emissions.

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