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In a population of 100,000 people, 10,000 are infected with a virus. After a person becomes infected and then recovers, the person is immune (cannot become infected again). OF people who are infected, 3% will die each year and the others will recover. Of the people who have never been infected, 25% will become infected each year. How many people will infected in 4 years? (Round your answer to the nearest whole number.) people Need Help? Read It

In a population of 100,000 people, 10,000 are infected with a virus. After a person becomes infected and then recovers, the person is immune (cannot become infected again). OF people who are infected, 3% will die each year and the others will recover. Of the people who have never been infected, 25% will become infected each year. How many people will infected in 4 years? (Round your answer to the nearest whole number.) people Need Help? Read It

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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### Infection and Immunity Simulation Problem In a population of 100,000 people, 10,000 are infected with a virus. After a person becomes infected and then recovers, the person is immune (cannot become infected again). Of the people who are infected, 3% will die each year and the others will recover. Of the people who have never been infected, 25% will become infected each year. How many people will be infected in 4 years? (Round your answer to the nearest whole number.) **Diagram Explanation:** There are no diagrams or graphs included in this problem. The problem involves calculating the number of people who will be infected given a set of infection and recovery rules over a period of 4 years. **Solution Storyline:** 1. From the initial 100,000 people: - 10,000 are initially infected. 2. Of the infected people (10,000): - 3% will die each year. - The rest will recover and become immune. 3. Of the non-infected population (90,000): - 25% will get infected each year. **Inputs:** - Total population = 100,000 - Initially infected = 10,000 - Initial non-infected = 90,000 **Yearly Calculations:** - For each subsequent year until 4 years: - Calculate deaths among infected. - Subtract deaths from the infected count. - Calculate new infections from those initially non-infected. > Follow the arithmetic steps for precise calculations for yearly changes over 4 years, rounding the final answer to the nearest whole number.
Transcribed Image Text:### Infection and Immunity Simulation Problem In a population of 100,000 people, 10,000 are infected with a virus. After a person becomes infected and then recovers, the person is immune (cannot become infected again). Of the people who are infected, 3% will die each year and the others will recover. Of the people who have never been infected, 25% will become infected each year. How many people will be infected in 4 years? (Round your answer to the nearest whole number.) **Diagram Explanation:** There are no diagrams or graphs included in this problem. The problem involves calculating the number of people who will be infected given a set of infection and recovery rules over a period of 4 years. **Solution Storyline:** 1. From the initial 100,000 people: - 10,000 are initially infected. 2. Of the infected people (10,000): - 3% will die each year. - The rest will recover and become immune. 3. Of the non-infected population (90,000): - 25% will get infected each year. **Inputs:** - Total population = 100,000 - Initially infected = 10,000 - Initial non-infected = 90,000 **Yearly Calculations:** - For each subsequent year until 4 years: - Calculate deaths among infected. - Subtract deaths from the infected count. - Calculate new infections from those initially non-infected. > Follow the arithmetic steps for precise calculations for yearly changes over 4 years, rounding the final answer to the nearest whole number.
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