Suppose that poaching reduces the population of an endangered animal by 8% per year. further suppose that when the population of this animal falls below 70, its extinction is inevitable (owing to the lack of reproductive options without severe in-breeding). if the current population of the animal is 1400, when will it face extinction?

 36 years

Step-by-step explanation:

Here, the current population of the animal is 1400,

And, the  population of an endangered animal by 8% per year.

Also, Further suppose that when the population of this animal falls below 70, its extinction is inevitable.

Let after x years the population of animal falls below 70,

Therefore,

⇒

⇒

⇒

⇒

⇒x>35.9279739462

Thus, after 36 years( Approx) the population of the animal will be fall towards 70.

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