The problem states that a country reduces its annual CO2 emissions by 2% per year. The emissions in 2022 are 6390 Mt (metric megatons). We need to find the maximum allowable emissions in the year 2031. This is an exponential decay problem.

1. Problem Description

The problem states that a country reduces its annual CO2 emissions by 2% per year. The emissions in 2022 are 6390 Mt (metric megatons). We need to find the maximum allowable emissions in the year

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1. This is an exponential decay problem.

2. Solution Steps

First, determine the number of years between 2022 and 2031:

$n = 2031 - 2022 = 9$

Next, use the formula for exponential decay:

$E_{2031} = E_{2022} * (1 - r)^n$

where:

$E_{2031}$ is the emissions in

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1. $E_{2022}$ is the emissions in 2022, which is 6390 Mt.

$r$ is the rate of reduction, which is 2% or 0.

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2. $n$ is the number of years, which is

9.

Plugging in the values, we get:

$E_{2031} = 6390 * (1 - 0.02)^9$

$E_{2031} = 6390 * (0.98)^9$

$E_{2031} = 6390 * 0.83374776$

$E_{2031} = 5327.64$

Therefore, the maximum allowable emissions in the year 2031 are approximately 5327.64 Mt.

3. Final Answer

5327.64 Mt