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A certain forest covers an area of 3700 km². Suppose that each year this area decreases by 5.5%. What will the area be after 15 years?

Use the calculator provided and round your answer to the nearest square kilometer.

Answer :

Answer:

1584 square kilometers.

Step-by-step explanation:

Here's the function I use.

[tex]y=a(1-r)^t[/tex]

a= starting amount

r= rate

t= years

First step: [tex]y=3700(1-0.055)^1^5[/tex]

Second step: [tex]=3700(0.945)^1^5[/tex]

Third step: =1583.72164269

Fourth step: Round to the nearest square kilometer. Since 1583.7 is closer to 1584, you must round up.

Fifth step: The final answer is [tex]1584 km^2[/tex]

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Rewritten by : Barada

The required area of the forest after 15 years will be 1583.72 square kilometers.

what is an exponential function?

The function which is in format f(x) =aˣ where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).

Here,
A certain forest covers an area of 3700 km. Suppose that each year this area decreases by 5.5%.
The area after 15 years is given as,
= 3700[1 - 0.055]¹⁵
= 3700[0.945]¹⁵
= 1583.72 square kilometers

Thus, the required area of the forest after 15 years will be 1583.72 square kilometers.

Learn more about exponential function here:

brainly.com/question/15352175

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