<PRE><B>Question 153055</B>
Suppose that the function P(x) = 11 + 44ln x represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2002. Carry all calculations to six decimals on each intermediate step when necessary.
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a. Use this model to determine the percentage of spam in the year 2006 to the nearest tenth of a percent.
P(4) = 11 + 44ln(4) = 71.996952%
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b. Use this model to determine in how many years it will take for the percent of spam to reach 85% provided that law enforcement regarding spammers does not change.
85 = 11 + 44ln(x)
74 = 44ln(x)
lnx = 1.681818
x = e^1.681818 = 5.375320
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Ans: In a little over five years.
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Cheers,
Stan H. 
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