A mathematical model for world population growth over short intervals is given by P P, e", where P, 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 the world population to quadruple if it continues to grow at its current continuous compound rate of 1.01% per year? Substitute the given values into the equation for the population. Express the population at timet as a function of Po- Po =Poe (Simplify your answers.) 6.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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A mathematical model for world population growth over short intervals is given by P P, e", where Po 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 the world population to quadruple if it continues to grow at its current
continuous compound rate of 1.01% per year?
Substitute the given values into the equation for the population. Express the population at timet as a function of Po
OPo =Poe
(Simplify your answers.)
Transcribed Image Text:A mathematical model for world population growth over short intervals is given by P P, e", where Po 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 the world population to quadruple if it continues to grow at its current continuous compound rate of 1.01% per year? Substitute the given values into the equation for the population. Express the population at timet as a function of Po OPo =Poe (Simplify your answers.)
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