SOLUTION: A model for the number of people N in a college community who have heard a rumor is given by the equation:N=P(1-e^(-0.15d)) where P is the total population of the community and d i
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Question 598213: A model for the number of people N in a college community who have heard a rumor is given by the equation:N=P(1-e^(-0.15d)) where P is the total population of the community and d is the number of days elapsed since the rumor began. If the number of students is 1,000 find the number of days when 500 students would have heard the rumor.
I have
450=1000(1-e^(-0.15d))
450/1000=1-e^(-0.15d)
9/2=1-e^(-0.15d)
7/2=-e^(-0.15d)
divide by -1
-7/2=e^(-0.15d)
-0.15d=ln(-7/2)
and I'm stuck because of the -7/2, it doesn't work...need help!
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Why did you substitute 450 for N when the problem wants to know how long it takes N to get to 500? Secondly, since when does 
? More like 
, wouldn't you say?
Take it from here:
which is to say:
Good luck and let me know how it comes out.
John
My calculator said it, I believe it, that settles it
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