Answer:
24 minutes
Step-by-step explanation:
Let y represent the rate of 120 envelopes per minute.
40/8 = 120/y
40y = 8 * 120
40y = 960
y = 960/40
= 24 minutes
Set t = 0 to find the initial height
Answer:
When you divide 360 by 5, you get 72; a full circle measures 360 degrees
A.) P(t) = P0e^(kt)
P(20/60) = 40 e^(20k/60)
80 = 40 e^(k/3)
e^(k/3) = 80/40 = 2
k/3 = ln(2)
k = 3ln(2)
b.) P(8) = 40(2)^24 = 40(16777216) = 671088640 cells
d.) Rate of change = e^(8k) = e^(8(3ln(2))) = e^(24ln(2)) = e^(16.6355) = 16777216 cells/hour
e.) P(t) = 40(2)^(3t); t in hours
1,000,000 = 40(8)^t
25,000 = 8^t
ln(25,000) = t ln(8)
t = ln(25,000)/ln(8) = 4.87 hours