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A certain forest covers an area of 4600 km². Suppose that each year this area decreases by 7.25%, What will the area be after 14 years?Use the calculator provided and round your answer to the nearest square kilometer.x?

1 Answer

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Answer

The area of the forest after 14 years = 1604 km²

Step-by-step explanation

The formula for calculating the value of a quantity decreasing at a constant rate per year is given as

A = A₀ (1 - r)ᵗ

where

A = Area of this forest at any time

A₀ = Area of the forest at the start = 4600 km²

r = Rate of decrease = 7.25% = 0.0725

t = Time in years = 14 years

A = A₀ (1 - r)ᵗ

A = 4600 (1 - 0.0725)¹⁴

A = 4600 (0.9275)¹⁴

A = 4600 (0.3487)

A = 1603.8 = 1604 km²

Hope this Helps!!!

User Marcusljx
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