SOLUTION: Can you please help with this problem: A firm predicts that sales will increase during a promotional campaign and that the number of daily sales will be given by N= 200(0.01)^0.8^

Question 930448: Can you please help with this problem:
A firm predicts that sales will increase during a promotional campaign and that the number of daily sales will be given by N= 200(0.01)^0.8^t, where t represents the number of days after the campaign begins. How many days after the beginning of the campaign would the firm expect the to sell at least 60 units per day.
Can you please explain your work.
Thank you
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A firm predicts that sales will increase during a promotional campaign and that the number of daily sales will be given by N= 200(0.01)^0.8t, where t represents the number of days after the campaign begins. How many days after the beginning of the campaign would the firm expect the to sell at least 60 units per day.
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200(0.01)^0.8t >= 60
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0.01^(0.8t) = 0.3
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Take the log::
0.08t*log(0.01) >= log(0.3)
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0.08t = log(0.3)/log(0.01) >= 0.2614
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t >= 0.2614/0.08
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t >= 3.27 days
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Cheers,
Stan H.
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