The exponential growth model of a population in a certain city is A= 20e0.05t where A is the size of the population in thousands in a particular year, and t is the number of years from the year 2000. a) What is the population of the city in the year 2000? b) What is the population of the city in the year 2020? C) If the rate of change increased after 2020 to 10%, in what year that the population be 200,000? d) What could be the initial population if the number of people is 10, 0000, 000 in 12 years with the same growth rate?

The exponential growth model of a population in a certain city is A= 20e0.05t where A is the size of the population in thousands in a particular year, and t is the number of years from the year 2000. a) What is the population of the city in the year 2000? b) What is the population of the city in the year 2020? C) If the rate of change increased after 2020 to 10%, in what year that the population be 200,000? d) What could be the initial population if the number of people is 10, 0000, 000 in 12 years with the same growth rate?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 12CC: Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t)...

See similar textbooks

Similar questions

An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?
The fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012, therewere 23,900 fox counted in the area. What is the foxpopulation predicted to be in the year 2020 ?
Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25 interest,compounded continuously. How much will theaccount be warm after 25 years?
With what kind of exponential model would doubling time be associated? What role does doubling time play in these models?
Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t) be the size of the population at time t. (a) Write a formula for n(t) in terms of the doubling time a. (b) Write a formula for n(t) in terms of the relative growth rate r.
An investment account with an annual interest rateof 7 was opened with an initial deposit of 4,000 Compare the values of the account after 9 yearswhen the interest is compounded annually, quarterly,monthly, and continuously.