The population of a country dropped from 52.6 million in 1995 to 44.5 million in 2007. 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 2018. 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

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.88TI: Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours...
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10. Answer all three parts
The population of a country dropped from 52.6 million in 1995 to 44.5 million in 2007. 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 2018.
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.)
O A. P(t) = 52.6 e
44.5
P(t) =
В.
O C. P(t) = 44.5 e
52.6
O D. P(t) =
44.5 e
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Transcribed Image Text:The population of a country dropped from 52.6 million in 1995 to 44.5 million in 2007. 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 2018. 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.) O A. P(t) = 52.6 e 44.5 P(t) = В. O C. P(t) = 44.5 e 52.6 O D. P(t) = 44.5 e Get more help - Clear all Check answer O2022 McGraw Hill. All Rights Reser e Type here to search
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