a. In 2000, the population of a country was approximately 5.53 million and by 2015 it is projected to grow to 7 million. Usethe exponential growth model A = Ao e12-ktin which t is the number of years after 2000 and A, is in millions, to find anProjected9-2000exponential growth function that models the data.6-5,530,000b. By which year will the population be 10 million?3-1950 1970 1990 2010 2030 2050Yeara. The exponential growth function that models the data is A =(Simplify your answer. Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)b. The country's population will be 10 million in the year(Use the answer from part a to find this answer. Round to the nearest year as needed.)Enteryour answer in each of the answer boxes.l Privacy Policy | PermissionsContaCopyright O 2021 Pearson Education Inc. All rights reserved. Terms of UsePopulation (millions)

We will use initial condition and mid condition to get required Growth function and projected year…

a. In 2000, the population of a country was approximately 5.53 million and by 2015 it is projected to grow to 7 million. Use the exponential growth model A = A, e kt, in which t is the number of years after 2000 and A, is in millions, to find an exponential growth function that models the data. b. By which year will the population be 10 million?

a. In 2000, the population of a country was approximately 5.53 million and by 2015 it is projected to grow to 7 million. Use the exponential growth model A = A, e kt, in which t is the number of years after 2000 and A, is in millions, to find an exponential growth function that models the data. b. By which year will the population be 10 million?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

a. In 2000, the population of a country was approximately 5.53 million and by 2015 it is projected to grow to 7 million. Use
the exponential growth model A = Ao e
12-
kt
in which t is the number of years after 2000 and A, is in millions, to find an
Projected
9-
2000
exponential growth function that models the data.
6-
5,530,000
b. By which year will the population be 10 million?
3-
1950 1970 1990 2010 2030 2050
Year
a. The exponential growth function that models the data is A =
(Simplify your answer. Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)
b. The country's population will be 10 million in the year
(Use the answer from part a to find this answer. Round to the nearest year as needed.)
Enter
your answer in each of the answer boxes.
l Privacy Policy | Permissions
Conta
Copyright O 2021 Pearson Education Inc. All rights reserved. Terms of Use
Population (millions)

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A popular social media platform has begun offering stock shares to the public. In the past 2 years, the price of the stock has generally increased. An investment specialist gathers data on the stock price during the past 2 years and creates an exponential model for estimating the stock price based on the number of weeks after the first public offering. Based on the scatterplot and computer output, a reasonable estimate for the stock price for week 95 is: O $2.27 because y 0.0022(95) + 2.0583 = 2.2673. O $9.65 because log y =0.0022(95) +2.0583 2.2673 and e2.2673 = 9.6533. log(Stock Price) vs. Weeks O $185.05 because kg y =0.0022(95)+2.0583=2.2673 and 102 2673 = 185.05. 2.28 2.26 224 O $220.44 because log y 0.0030(95)+2.0583 2.3433 and 2.22 22 2 12 2 16 102.3433 = 220.44 ock Price)
A population numbers 20,000 organisms initially and decreases by 3% each year. Suppose P represents population, and t the number of years of growth. Write an exponential model to represent this situation. P = Preview
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