Two different species of deer are housed in two separate areas of a wildlife park. The initial population of species A was 300, and the population is increasing by 15% every year. The initial population of species B was 400, and the population is increasing by 7% every year. Use the given information to determine when the two species will have the same population. After years, the populations of the two species will be approximately equal, with deer of each species.

Two different species of deer are housed in two separate areas of a wildlife park The initial population of species A was 300 and the population is increasing b class=

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Answer:

The first is four the second is 524.

Step-by-step explanation:

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After 4 years the populations of the two species will be approximately equal, with 524 deer of each species.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x

where a is a constant and a>1

We have:

Two different species of deer are housed in two separate areas of a wildlife park.

The initial population of species A was 300, and the population is increasing by 15% every year.

By using the exponential function:

A = 300(1 + 15%)ⁿ = 300(1.5)ⁿ

B = 400(1+7%)ⁿ  = 400(1.07)ⁿ

300(1.5)ⁿ = 400(1.07)ⁿ

After calculating:

n = 4 years

A = 300(1.5)⁴ = 524

Thus, after 4 years the populations of the two species will be approximately equal, with 524 deer of each species.

Learn more about the exponential function here:

brainly.com/question/11487261

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