SOLUTION: Suppose that the function P= 11+44lnx represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2002.
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-> SOLUTION: Suppose that the function P= 11+44lnx represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2002.
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Question 152358: Suppose that the function P= 11+44lnx represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2002.
Use this model to determine in how many years it will take for the percent of spam to reach 85%?
I am having trouble trying to solve this problem.
I understand that 85=11+44lnx is how to set up the problem, but am not sure how to isolate x to find out the number of years. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Suppose that the function P= 11+44lnx represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2002.
Use this model to determine in how many years it will take for the percent of spam to reach 85%?
:
11 + 44*ln(x) = 85
:
44 * ln(x) = 85 - 11
:
ln(x) =
x =
x = 5.3753 yrs from 2002, that would be in May of 2007
:
:
Check solution on a calc: enter 11 + 44*ln(5.3753) = 84.9999 ~ 85 %
