# A population of 500 beetles is expected to grow at a rate of 70% per week. Which number is the best prediction of the population after 15 weeks?

The best prediction of the population after 15 weeks is

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To predict the population after 15 weeks, you can use the formula for exponential growth:

[ P = P_0 \times (1 + r)^n ]

Where:

- ( P ) is the final population size
- ( P_0 ) is the initial population size (500 beetles)
- ( r ) is the growth rate per week (70% or 0.70)
- ( n ) is the number of weeks (15 weeks)

[ P = 500 \times (1 + 0.70)^{15} ]

[ P \approx 500 \times (1.70)^{15} ]

[ P \approx 500 \times 57,646.24 ]

[ P \approx 28,823,120 ]

So, the best prediction of the population after 15 weeks is approximately 28,823,120 beetles.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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