
Dayv O. answered 03/03/23
Caring Super Enthusiastic Knowledgeable Trigonometry Tutor
at t=0 N(t)=6
since 1200 is maximum of N(t) ,,,,,,1/2 of that=600
600=1200/(1+199e-.625t)
199e-.625t=1
-.625t=ln(1/199)=-ln(199)=-5.293
t=8.5 days
Gavin A.
asked 03/03/23The equation N(t)= 1200/1 + 199e-0.625t models the number of people in a school who have heard a rumor after t days.
a) How many people started the rumor?
b) To the nearest tenth, how many days will it be before the rumor spreads to half the carrying capacity?
Dayv O. answered 03/03/23
Caring Super Enthusiastic Knowledgeable Trigonometry Tutor
at t=0 N(t)=6
since 1200 is maximum of N(t) ,,,,,,1/2 of that=600
600=1200/(1+199e-.625t)
199e-.625t=1
-.625t=ln(1/199)=-ln(199)=-5.293
t=8.5 days
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