Awildlife biologist determines that there are approximately 200 deer in a region of a national park. the population grows at a rate of 7% per year. what is an exponential function that models the expected population?

The exponential function is Y = 200 [1.07]ˣ

Step-by-step explanation:

Let Y represent the expected population

Let P represent the current population

Let r represent the population growth rate

let x represent the number of years or nth year.

The compound interest expression can used to derive the exponential function can be represented as follows

Y = P [1 + (r ÷ 100)]ˣ

Y = 200 [ 1 + (7 ÷ 100)]ˣ

Y = 200 [ 1 + (0.07)]ˣ

Y = 200 [1.07]ˣ

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

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