The population of a country dropped from 52.3 million in 1995 to 44.1 million in 2009. Assume that P(t), the population, in millions, t years after 1995, is decreasing according to the exponential decay model. a) Find the value of k, and write the equation. b) Estimate the population of the country in 2020. c) After how many years will the population of the country be 3 million, according to this model? a) Select the correct answer below and fill in the answer box to complete your choice. (Round to four decimal places as needed.) 52.3 O B. P(t) = 44.1 e P(t) = OA. 44.1 e 44.1 O C. P(t) = 52.3 e OD. P(t) =

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
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The population of a country dropped from 52.3 million in 1995 to 44.1 million in 2009. Assume that P(t), the population, in millions, t years after 1995, is decreasing according to the
exponential decay model.
a) Find the value of k, and write the equation.
b) Estimate the population of the country in 2020.
c) After how many years will the population of the country be 3 million, according to this model?
a) Select the correct answer below and fill in the answer box to complete your choice.
(Round to four decimal places as needed.)
52.3
O B. P(t) = 44.1 e
P(t) =
O A.
44.1 e
44.1
O C. P(t) = 52.3 e
OD.
P(t) =
Transcribed Image Text:The population of a country dropped from 52.3 million in 1995 to 44.1 million in 2009. Assume that P(t), the population, in millions, t years after 1995, is decreasing according to the exponential decay model. a) Find the value of k, and write the equation. b) Estimate the population of the country in 2020. c) After how many years will the population of the country be 3 million, according to this model? a) Select the correct answer below and fill in the answer box to complete your choice. (Round to four decimal places as needed.) 52.3 O B. P(t) = 44.1 e P(t) = O A. 44.1 e 44.1 O C. P(t) = 52.3 e OD. P(t) =
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