SOLUTION: The number of people infected by a disease in t days is given by N= 30,300/1+100e^.6t. How many days will it be until 30,000 people are infected?

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Question 509203: The number of people infected by a disease in t days is given by N= 30,300/1+100e^.6t. How many days will it be until 30,000 people are infected?
Answer by htmentor(1343) About Me  (Show Source):
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The number of people infected by a disease in t days is given by N= 30,300/1+100e^.6t. How many days will it be until 30,000 people are infected?
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N%28t%29+=+30300%2F%281%2B100%2Ae%5E%280.6t%29%29
If N(t) = 30000, we have
30000+=+30300%2F%281%2B100%2Ae%5E%280.6t%29%29
30300%2F30000+-+1+=+100%2Ae%5E%280.6t%29
303%2F30000+-+0.01+=+e%5E%280.6t%29
ln%28303%2F30000+-+0.01%29+=+0.6t
This gives a negative value for the time. The problem must be written incorrectly.