The population of a southern city follows the exponential law. Use this information to answer parts a and b T (a) If N is the population of the city and t is the time in years, express N as a function of t N(t)= No en kt (Type an expression using t as the variable and in terms of e.) (b) If the population doubled in size over 30 months and the current population is 40,000, what will the population be 3 years from now? The population will be approximately people. (Do not round until the final answer. Then round to the nearest whole number as needed.)
The population of a southern city follows the exponential law. Use this information to answer parts a and b T (a) If N is the population of the city and t is the time in years, express N as a function of t N(t)= No en kt (Type an expression using t as the variable and in terms of e.) (b) If the population doubled in size over 30 months and the current population is 40,000, what will the population be 3 years from now? The population will be approximately people. (Do not round until the final answer. Then round to the nearest whole number as needed.)
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

Transcribed Image Text:The population of a southern city follows the exponential law. Use this information to answer parts a and b.
(a) If N is the population of the city and t is the time in years, express N as a function of t
N(t)= No e
(Type an expression using t as the variable and in terms of e.)
(b) If the population doubled in size over 30 months and the current population is 40,000, what will the population be 3 years from now?
kt
The population will be approximately people.
(Do not round until the final answer. Then round to the nearest whole number as needed.)
Expert Solution

Step 1: Introduction of the given problem
Given exponential function
The population get doubled in month. The current population is
We have to find the population after year.
Step by step
Solved in 3 steps with 10 images

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