anonymous
  • anonymous
can someone help me w/ this problem f(t)= 5000/1+50e^-0.4t a. approximately how many people will have heard the news after 8 days? b. how long will it take for half of the townspeople to have heard about the meeting? c. find an equation to express the rate at which notice of the meeting is spreading
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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experimentX
  • experimentX
f(t)= 5000/(1+50e^-0.4t)
Callisto
  • Callisto
is the unit of t day?
anonymous
  • anonymous
= 134

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anonymous
  • anonymous
@uh_oh_boy23 I believe your post's sort of chop off head and tail!
anonymous
  • anonymous
what do u mean?
anonymous
  • anonymous
yes expx
anonymous
  • anonymous
heres the rest Notice of a town meeting is spread by word of mouth to the town's 5000 residents. After t days, the number of people who know about the meeting is expressed by the function
anonymous
  • anonymous
the beginning
anonymous
  • anonymous
b) Half of town ...? There's no data about the number of the whole town?
experimentX
  • experimentX
for your first proble, put 8 inplace of t and calculate it's vlaue
experimentX
  • experimentX
i think the whole town people is 5000
Callisto
  • Callisto
f(8)= 5000/(1+50e^-0.4(8)) = 5000 / (1+50e^-3.2) Can you do the calculation yourself?
Callisto
  • Callisto
@experimentX it's 5000 as '' the town's 5000 residents''
Callisto
  • Callisto
(b) f(t) = 5000/2 = 5000/(1+50e^-0.4t) 2500 = 5000/(1+50e^-0.4t) 2 = (1+50e^-0.4t) Can you solve it from here?
experimentX
  • experimentX
yeah .. my language mistake
experimentX
  • experimentX
i think for the last part ... you just need to differentiate the function with respect to t
anonymous
  • anonymous
ok
anonymous
  • anonymous
so for like A plug in 8 for t?
anonymous
  • anonymous
c) f'(t) = 10.000 e^ (- .04t) / [ 1 + 50 e (- .04t) ]²
anonymous
  • anonymous
Why don't you give a try on a) and b)

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