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Which of the following equations would model a population with an initial size of 625 that is growing at an annual rate of 8.5%?

1. \( P = 625(8.5)^t \)

2. \( P = 625(1.085)^t \)

3. \( P = 1.085^t + 625 \)

4. \( 8.5t^2 + 625 \)

Answer :

Answer:

Believe its B

Step-by-step explanation:

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Rewritten by : Jeany

Final answer:

The equation that would model the population is P = 625(1.085)^t.

Explanation:

The equation that would model a population with an initial size of 625 growing at an annual rate of 8.5% is P = 625(1.085)^t.

The general formula for exponential growth is P = P0(1 + r)^t, where P0 is the initial size, r is the growth rate in decimal form, and t is the time.

In this case, P0 is 625 and the growth rate is 8.5%, or 0.085 as a decimal.

Therefore, "the correct equation is P = 625(1.085)^t".

Learn more about Exponential growth here:

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