Question

The population of Figmentia was 19685 in the 2020 census. The future population of the town can be modeled by p(t)=19685e^0.0116^t , where t is the number of years since 2020. Use the function to predict the population in 2035. Round to the nearest whole number

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Andrea

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51 Answers

1. Calculate the number of years from 2020 to 2035:

t = 2035 - 2020 = 15

2. Substitute t = 15 into the population model:

p(15) = 19685e^{0.0116 \cdot 15}

3. Compute the exponent:

0.0116 \times 15 = 0.174

4. Calculate e^{0.174} :

e^{0.174} \approx 1.19023

5. Multiply by the initial population:

p(15) = 19685 \times 1.19023 \approx 23457.02955

6. Round to the nearest whole number:

\text{Rounded value of } p(15) \approx 23457

So, the population in 2035 is approximately 23457.

2. Substitute

3. Compute the exponent:

4. Calculate

5. Multiply by the initial population:

6. Round to the nearest whole number:

So, the population in 2035 is approximately 23457.

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