## 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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2021-11-18T08:33:39+00:00
2021-11-18T08:33:39+00:00 1 Answer
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## Answers ( )

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.