Suppose a study is completed that finds that the number of cockroaches in Chandler decreases by 18% every 12 years. In 2020, there were approximately 3.5 million cockroaches in Chandler. Assuming the number of cockroaches is changing exponentially, how many cockroaches do you estimate there will be in 2025 (5 years later)? Show each step of your process as you work through the problem and explain the purpose of each step. Be specific!

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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See image below. For this homework I need specific explanations for each step of the question. Can you please keep the steps labeled? (Step 1, 2, etc or a, b, etc) Thank you so much! 

Suppose a study is completed that finds that the number of cockroaches in Chandler decreases by 18% every 12 years. In
2020, there were approximately 3.5 million cockroaches in Chandler.
Assuming the number of cockroaches is changing exponentially, how many cockroaches do you estimate there will be in
2025 (5 years later)?
Show each step of your process as you work through the problem and explain the purpose of each step. Be specific!
Transcribed Image Text:Suppose a study is completed that finds that the number of cockroaches in Chandler decreases by 18% every 12 years. In 2020, there were approximately 3.5 million cockroaches in Chandler. Assuming the number of cockroaches is changing exponentially, how many cockroaches do you estimate there will be in 2025 (5 years later)? Show each step of your process as you work through the problem and explain the purpose of each step. Be specific!
Expert Solution
Step 1

Given:

Initial population of cockroaches = 3.5 millions = 3500000 

Rate of decrease = r=18%=0.18 every 12 years. 

The number of cockroaches is changing exponentially.

 

To find: 

The number of cockroaches after 5 years.

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