MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The population of the world in 1987 was 5 billion, and the annual growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 2015.
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Transcribed Image Text:The population of the world in 1987 was 5 billion, and the annual growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 2015.
The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 2015.

This text poses a mathematical problem about estimating world population growth using an exponential model. It provides the initial population in 1987 and the annual growth rate, and then asks for the projected population in the year 2015. This problem can be solved using the exponential growth formula:

\[ P(t) = P_0 \times e^{rt} \]

Where:
- \( P(t) \) is the population at time \( t \)
- \( P_0 \) is the initial population
- \( r \) is the growth rate
- \( t \) is the time in years since the initial time

The task requires finding \( P(t) \) for \( t = 2015 - 1987 = 28 \) years.
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Transcribed Image Text:The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 2015. This text poses a mathematical problem about estimating world population growth using an exponential model. It provides the initial population in 1987 and the annual growth rate, and then asks for the projected population in the year 2015. This problem can be solved using the exponential growth formula: \[ P(t) = P_0 \times e^{rt} \] Where: - \( P(t) \) is the population at time \( t \) - \( P_0 \) is the initial population - \( r \) is the growth rate - \( t \) is the time in years since the initial time The task requires finding \( P(t) \) for \( t = 2015 - 1987 = 28 \) years.
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