A mathematical model for population growth over short intervals is given by P=P0ert​, where P0 is the population at time t=​0, r is the continuous compound rate of​growth, t is the time in​ years, and P is the population at time t. How long will it take a​ country's population to quadruple if it continues to grow at its current continuous compound rate of 0.77​% per​ year?       Substitute the given values into the equation for the population. Express the population at time t as a function of P0.   __P0=P 0e___ t ​(Simplify your​ answers.)

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...
icon
Related questions
Question
A mathematical model for population growth over short intervals is given by P=P0ert​, where P0 is the population at time t=​0,
r is the continuous compound rate of​growth, t is the time in​ years, and P is the population at time t. How long will it take a​ country's population to quadruple if it continues to grow at its current continuous compound rate of 0.77​% per​ year?
 
 
 
Substitute the given values into the equation for the population. Express the population at time t as a function of
P0.
 
__P0=P 0e___ t
​(Simplify your​ answers.)
 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning