Question

A small country emits 150,000 kilotons of carbon dioxide per year. In a recent global agreement, the country agreed to cut its carbon emissions by 5.4% per year for the next 14 years. In the first year of the agreement, the country will keep its emissions at 150,000 kilotons and the emissions will decrease 5.4% in each successive year. How many total kilotons of carbon dioxide would the country emit over the course of the 14 year period, to the nearest whole number?​

Answer 1

72891

Explanation:

150,000 is the base number

In the first year it will be the same, so it'll only count 13 years

the equation is: 150,000(0.946)^x

how:

150,000(100%-5.4%)^x

150,000(94.6%)^x

150,000(0.946)^x

*it's 100%-5.4% because that's that's remaining each year if it's decreasing by 5.4%. you would convert the percentage into decimals because it's decreasing by a percentage, not a whole number

150000(0.946)^13

*13 is the number of years, so it's x

72891.356467