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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question

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.
Step by step
Solved in 2 steps

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

