math pls help

2014-03-10 12:52 am
t years from now,
number of lions will be
P(t)= 120 / ( 2+3e^(-0.05t) ) hundred.
What is the doubling time?
Correct answer to 2 decimal places

回答 (1)

2014-03-10 1:23 am
✔ 最佳答案
P(t)= 120 / ( 2+3e^(-0.05t) )

Now, P(0) = 120 / [2+3e^(0)] = 120 / (2+3) = 24

P(t) = 48 = 120 / ( 2+3e^(-0.05t) )

(48)( 2+3e^(-0.05t) ) = 120

96 + 144e^(-0.05t) = 120

e^(-0.05t) = 0.16667

-0.05t = ln(0.16667) = -1.79176

t = 35.8 (year)


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