4) Suppose that the function P=13 +451n x represents the percentage of inbound e

Question

4) Suppose that the function P=13 +451n x represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2000.
Carry all calculations to six decimals on each intermediate step when necessary.
a)
Use this model to determine the percentage of spam in the year 2003. Round your answer to two decimals places.

b)
Use this model to determine in how many years (to two decimal places) it will take for the percent of spam to reach 95% provided that law enforcement regarding spammers does not change. Round your answer to two decimal places.

Explanation / Answer

Answer: 62.44%

put x = 3:
P = 13 + 45*ln(3)
P = 13 + 49.437552
P = 62.437552 After rounding !!!!
P = 62.44%

b) calculation will be
95 = 13 + 45ln(x)
82 = 45ln(x)
ln(x) = 1.822222
x = e^1.822222
x = 6.185587
x = 6.19 years

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