Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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How many years are required for an investment to double in value if it is appreciating at the rate of 5% compounded continuously? At 5% compounded continuously, the investment doubles in (Round to one decimal place as needed.) years.
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Transcribed Image Text:How many years are required for an investment to double in value if it is appreciating at the rate of 5% compounded continuously? At 5% compounded continuously, the investment doubles in (Round to one decimal place as needed.) years.
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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 1.33% per year? Substitute the given values into the equation for the population. Express the population at time t as a function of Po. ☐Po (Simplify your answers.)
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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 1.33% per year? Substitute the given values into the equation for the population. Express the population at time t as a function of Po. ☐Po (Simplify your answers.)
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Follow-up Question
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 1.33% per year? Substitute the given values into the equation for the population. Express the population at time t as a function of Po. ☐Po (Simplify your answers.)
expand button
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 1.33% per year? Substitute the given values into the equation for the population. Express the population at time t as a function of Po. ☐Po (Simplify your answers.)
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