anonymous
  • anonymous
A culture started off with 5000 bacteria after 5 hours it grew too 6500 bacteria predict how many bacteria will be present after 16 hours P=Ae^kt formula
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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taramgrant0543664
  • taramgrant0543664
So you have to find k first so it started with 5000 so that's A P would be 6500 and t is 5 and you solve for k 6500=5000e^k(5)
taramgrant0543664
  • taramgrant0543664
Once you find the k value then you can use that as k, use 5000 as A and your t would be 16 and you would solve for P
anonymous
  • anonymous
Well how do I find out what k is?

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taramgrant0543664
  • taramgrant0543664
6500=5000e^5k 6500/5000=e^5k ln(6500/5000)=5k ln(6500/5000)/5=k
anonymous
  • anonymous
So k would be 1.3?
anonymous
  • anonymous
Or 0.26?
taramgrant0543664
  • taramgrant0543664
No k=0.052 you didn't do the ln of it or divide by 5
taramgrant0543664
  • taramgrant0543664
(ln1.3)/5=0.052
taramgrant0543664
  • taramgrant0543664
ln is the inverse of e
anonymous
  • anonymous
So my final equation would be p=5000e^0.052*16 ?
taramgrant0543664
  • taramgrant0543664
Yes and solving for p is the answer you want
anonymous
  • anonymous
Ok thanks you!(:
taramgrant0543664
  • taramgrant0543664
No problem happy to help!
anonymous
  • anonymous
So it seems as if my answer is wrong, what should I get for the answer?
taramgrant0543664
  • taramgrant0543664
What did you get?
anonymous
  • anonymous
1195.48, I don't see how I got this
taramgrant0543664
  • taramgrant0543664
I got 11489.6
anonymous
  • anonymous
Alright, I guess I'll just have to keep trying, thanks for the help though(:

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