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Example 2: The population of a village in 12 people can be modeled with respect to time in t years after 2022 by the following equation: n(t) = 6√t + 500 a. How many people are in the village initially in 2022? b. What is the projected average growth rate of the town between now and 2030?

Example 2: The population of a village in 12 people can be modeled with respect to time in t years after 2022 by the following equation: n(t) = 6√t + 500 a. How many people are in the village initially in 2022? b. What is the projected average growth rate of the town between now and 2030?

Advanced Engineering Mathematics
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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Example 2: The population of a village in n people can be modeled with respect to time in t years after 2022 by the following equation: n(t) = 6√t + 500 a. How many people are in the village initially in 2022? b. What is the projected average growth rate of the town between now and 2030? C. How quickly is the town projected to be growing in 2030?
Transcribed Image Text:Example 2: The population of a village in n people can be modeled with respect to time in t years after 2022 by the following equation: n(t) = 6√t + 500 a. How many people are in the village initially in 2022? b. What is the projected average growth rate of the town between now and 2030? C. How quickly is the town projected to be growing in 2030?
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