0 A mathematical model for world population growth over short intervals is given by P = Poet, 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 1.88% per year? Substitute the given values into the equation for the population. Express the population at time t as a function of Po. (Simplify your answers.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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A mathematical model for world population growth over short intervals is given by P = Poet, 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 1.88% per year?
Substitute the given values into the equation for the population. Express the population at time t as a function of Po.
P = Poe
Po
(Simplify your answers.)
Transcribed Image Text:A mathematical model for world population growth over short intervals is given by P = Poet, 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 1.88% per year? Substitute the given values into the equation for the population. Express the population at time t as a function of Po. P = Poe Po (Simplify your answers.)
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