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BaLLatris [955]
4 years ago
11

a certain forest covers an area of 4100km squared. if each year the area decreased by 4.5% what will be the area after 15 years

Mathematics
1 answer:
babunello [35]4 years ago
8 0

Answer:

  2055 km²

Step-by-step explanation:

The amount of forest remaining after t years can be modeled by the exponential equation ...

  remaining = original · (multiplier each year)^(number of years)

  area = 4100·0.955^t

Then for t=15, the area is ...

  area = 4100·0.955^15 ≈ 2055.1 . . . . km²

The area of the forest after 15 years will be about 2055 square kilometers.

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