SOLUTION: The number of bacteria in a culture is given by the formula {{{n(t) = 1000e^0.4t}}} where t is measured in hours. What is the initial population n0 of the culture (at t = 0)? {

Question 913470: The number of bacteria in a culture is given by the formula where t is measured in hours.
What is the initial population n0 of the culture (at t = 0)?
Approximately how many bacteria, N, will the culture contain after 4 hours?
Because I checked my calculator twice why isn't this the right answer? what am I doing wrong.
Thank you
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'm assuming the equation should be

Plug in t = 4 and evaluate

This is approximate

This is approximate

So the approximate number of bacteria after 4 hours is roughly 4,953.0324

Round to the nearest whole number to get 4,953

Final Answer: 4,953 bacteria (approximate figure)

Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html

Thanks,

Jim
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