SOLUTION: Suppose that the funtion P=12+50ln x represents the percentage of inbound e-mail in the US that is considered spam, where x represents the number of years after 2001. Use this m

Question 116577: Suppose that the funtion P=12+50ln x represents the percentage of inbound e-mail in the US that is considered spam, where x represents the number of years after 2001.
Use this model to approximate the year that the percentage of spam will reach 90% provided that law enforcement regarding spammers does not change.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose that the funtion P=12+50ln x represents the percentage of inbound e-mail in the US that is considered spam, where x represents the number of years after 2001.
Use this model to approximate the year that the percentage of spam will reach 90% provided that law enforcement regarding spammers does not change.
----------------
90 = 12 + 50 ln(x)
78 = 50 ln(x)
1.56 = ln(x)
x = e^1.56
x = 4.7588
--------------------
2001 + 4.7588 = 2005.7588
--------------------
The 90% level should be reached during the year 2006
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Cheers,
Stan H.
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