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October 22, 2014

October 22, 2014

Posted by **MV** on Tuesday, December 6, 2011 at 10:31pm.

a.In what year will there be 70,000 birds?

b.How many birds were intially introduced to the habitat?

c.How many birds are expected in the habitat eleven years after the introduction?

I'm thinking y=y0e^(-t)as the formula.

Looking for advice on set up of calculation, not necessarily answers to all.

- Algebra2 -
**Reiny**, Wednesday, December 7, 2011 at 12:20ama) So, 70000 = 10000/(1 + 5000e^(-t)

1+5000e^-t = 10/7

5000e^-t = 10/7 - 1 = 3/7

e^-t = 3/35000 = .000085714

ln both sides

-t = ln .000085714

-t = -9.36

t = 9.36 years

b) when t=0

f(0) = 100000(1+ e^0) = 100000/2 = 50000

c) plug in t=11, you do the button-pushing

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