Asked by Zero
There were 256 people at a fundraiser. When the event was over, half of the people who remained left every 5 minutes.
How long after the event ended did the last person leave?
How long after the event ended did the last person leave?
Answers
Answered by
Damon
find how many minutes until one is left. That one leaves immediately if the first ones left at t = 0
a(n+1) = (1/2)A(n)
a(1) = 256
a(N) = 1
an = a1 r^n-1
1 = 256 *.5^(n-1)
.5^(n-1) = 1/256
(n-1) log .5 = log (1/256)
n-1 = 8
n = 9
so 9 * 5 min = 45 min
if the first ones left at the END of the first five minutes then the last one leaves after 50 minutes
a(n+1) = (1/2)A(n)
a(1) = 256
a(N) = 1
an = a1 r^n-1
1 = 256 *.5^(n-1)
.5^(n-1) = 1/256
(n-1) log .5 = log (1/256)
n-1 = 8
n = 9
so 9 * 5 min = 45 min
if the first ones left at the END of the first five minutes then the last one leaves after 50 minutes
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