The population of a certain inner-city area is estimated to be declining according to the model P (t) = 452,000e-0.014t, where t is the number of years from the present. What does this model predict the population will be in 8 years? Round to the nearest person.

Question

Mathematics

Santiago Callahan

16 October, 15:14

The population of a certain inner-city area is estimated to be declining according to the model P (t) = 452,000e-0.014t, where t is the number of years from the present. What does this model predict the population will be in 8 years? Round to the nearest person.

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Answers (1)

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Evelin Stevens · Answer 1

404,108

Step-by-step explanation:

Put 8 where t is and do the arithmetic.

P (8) = 452,000·e^ (-0.014·8) ≈ 404,108

The population is predicted to be 404,108 in 8 years.