4. The function P(t) = 9.0(1.0032)' represents the population (in millions) of Sweden t years after January 1, 2000. Write an equivalent function using base e, that is, write a function of the form P(t) = 9.0e*" a. Find k algebraically. Then round k to 6 decimal places. k = ; P(t) = 9.0e*" b. Use the model P(t) = 9.0(1.0032)' to approximate the population of Sweden on January 1, 2030. Round your answer to the nearest whole number. Use the model P(t) = 9.0e*' from part (a) to approximate the population of Sweden on c. January 1, 2030. Round your answer to the nearest whole number.

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Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
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4c.

4.
The function P(t) = 9.0(1.0032)' represents the population (in millions) of Sweden t years after
January 1, 2000.
Write an equivalent function using base e, that is, write a function of the form P(t) = 9.0e*"
a.
Find k algebraically. Then round k to 6 decimal places.
k =
; P(t) = 9.0e*"
b.
Use the model P(t) = 9.0(1.0032)' to approximate the population of Sweden on January 1,
2030. Round your answer to the nearest whole number.
Use the model P(t) = 9.0e*' from part (a) to approximate the population of Sweden on
c.
January 1, 2030. Round your answer to the nearest whole number.
Transcribed Image Text:4. The function P(t) = 9.0(1.0032)' represents the population (in millions) of Sweden t years after January 1, 2000. Write an equivalent function using base e, that is, write a function of the form P(t) = 9.0e*" a. Find k algebraically. Then round k to 6 decimal places. k = ; P(t) = 9.0e*" b. Use the model P(t) = 9.0(1.0032)' to approximate the population of Sweden on January 1, 2030. Round your answer to the nearest whole number. Use the model P(t) = 9.0e*' from part (a) to approximate the population of Sweden on c. January 1, 2030. Round your answer to the nearest whole number.
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