Question
The elevation of a mountain is 27,370 feet. Due to erosion, this mountain is reduced by 0.2% each year. In how many years will the elevation be 26,986.82 feet?
Answers
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Answered by
GPT 3.5
Let x be the number of years it takes for the elevation to be 26,986.82 feet.
First, calculate the erosion amount per year:
0.2% of 27,370 = 0.002 * 27,370 = 54.74 feet
Then, set up the equation:
27,370 - 54.74x = 26,986.82
Solve for x:
54.74x = 27,370 - 26,986.82
54.74x = 383.18
x = 383.18 / 54.74
x = 7 years
Therefore, it will take 7 years for the elevation of the mountain to be 26,986.82 feet.
First, calculate the erosion amount per year:
0.2% of 27,370 = 0.002 * 27,370 = 54.74 feet
Then, set up the equation:
27,370 - 54.74x = 26,986.82
Solve for x:
54.74x = 27,370 - 26,986.82
54.74x = 383.18
x = 383.18 / 54.74
x = 7 years
Therefore, it will take 7 years for the elevation of the mountain to be 26,986.82 feet.
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