Answered: A city had a population of 10,000 in…

A city had a population of 10,000 in 2000 and a population of 12,000 in 2020. If its population continues to grow exponentially at a constant rate, what population will it have in 2050 ?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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A city had a population of 10,000 in 2000 and a population of 12,000 in 2020. If its population
continues to grow exponentially at a constant rate, what population will it have in 2050 ?

Expert Solution

Step 1

Given that,

A population of 10,000 in 2000 and a population of 12,000 in 2020.

Calculate the population in 2050.

The exponential formula is $N (t) = N_{0} e^{λ t}$ .

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