SOLUTION: The population of bacteria in a culture in given by B=1000e^0.312t, where t is time in minutes. a)Find the time to the nearest half-minute, for the population to grow to 7600. b) H

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Question 41568: The population of bacteria in a culture in given by B=1000e^0.312t, where t is time in minutes. a)Find the time to the nearest half-minute, for the population to grow to 7600. b) How many bacteria were present initially?
Answer by Nate(3500) About Me  (Show Source):
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a)Find the time to the nearest half-minute, for the population to grow to 7600
B+=+1000e%5E%280.312t%29
7600+=+1000e%5E%280.312t%29
7.6+=+e%5E%280.312t%29
ln%287.6%29+=+ln%28e%5E%280.312t%29%29
ln%287.6%29+=+%280.312t%29log%28e%2Ce%29
ln%287.6%29%2F0.312+=+t
6.5+=+t
b) How many bacteria were present initially?
B+=+1000e%5E%280.312t%29
B+=+1000e%5E%280.312%280%29%29
B+=+1000