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In a city with a fixed population N, the time rate of change of the number P of people who have heard a certain rumor is proportional to the produc of P and NP. Suppose initially 25% have heard the rumor and after one week this number has grown to 50%. What percentage will this numbe reach after one more week? After one more week, the percentage is %. Your final answer needs to be a fraction. Also, keep in mind that we are working with percent. Submit

In a city with a fixed population N, the time rate of change of the number P of people who have heard a certain rumor is proportional to the produc of P and NP. Suppose initially 25% have heard the rumor and after one week this number has grown to 50%. What percentage will this numbe reach after one more week? After one more week, the percentage is %. Your final answer needs to be a fraction. Also, keep in mind that we are working with percent. Submit

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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In a city with a fixed population N, the time rate of change of the number P of people who have heard a certain rumor is proportional to the produc of P and NP. Suppose initially 25% have heard the rumor and after one week this number has grown to 50%. What percentage will this number reach after one more week? After one more week, the percentage is %. Your final answer needs to be a fraction. Also, keep in mind that we are working with percent. Submit
Transcribed Image Text:In a city with a fixed population N, the time rate of change of the number P of people who have heard a certain rumor is proportional to the produc of P and NP. Suppose initially 25% have heard the rumor and after one week this number has grown to 50%. What percentage will this number reach after one more week? After one more week, the percentage is %. Your final answer needs to be a fraction. Also, keep in mind that we are working with percent. Submit
Expert Solution
Step 1

Let Total population be N. number of people P who heard the rumor is directly proportional to product of P and N-P.

Initially 25% have heard the rumor and after one week 50% of population have heard the rumor.

To Find: What percentage of population will heard the rumor after two weeks.

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