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    cathyyy41

    Can You Help? Suppose That The Function P=11+44lnx Represents The Percentage Of Inbound Email 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

    Suppose that the function P=11+44lnx represents the percentage of inbound email 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. 1. Use this model to approximate the percentage of spam in the year 2006 to the nerest tenth of a percent. 2. Use this model to determine in how many years it will take for the percent of spam to reach 85% provided that the law enforcement regarding spammers does not change. Show work

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    Oddman

    1. P=11+44*ln[2006-2002] = 11+44*ln[4] = 11+44*1.386294
     = 11+60.996952 = 71.996952, about 72.0
     Spam represents 72.0% of inbound e-mail in 2006.

    2. 85=11+44*ln[y]
     85-11 = 44*ln[y]
     (85-11)/44 = ln[y]
     e^((85-11)/44) = y
     e^(74/44) = y
     e^(1.681818) = y
     5.375320 = y
     It will take 5.4 years for spam to become 85% of inbound e-mail.

    answered 4 months ago   

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