SOLUTION: In 2005, comsumers recieved, on average, 3253 spam messages. The volume of spam messages per consumer is decreasing exponentially with the exponential decay rate of 13.7% per year.

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Question 328584: In 2005, comsumers recieved, on average, 3253 spam messages. The volume of spam messages per consumer is decreasing exponentially with the exponential decay rate of 13.7% per year. In what year, theoretically, will the average consumer receive 100 spam messages?
Answer by galactus(183) About Me  (Show Source):
You can put this solution on YOUR website!
Since 2005 is the base year with 3253 messages, we have
A=3253e%5E%28-.137t%29
Let A=100 and solve for t, then add that value to 2005.
100=3253e%5E%28-.137t%29
100%2F3253=e%5E%28-.137t%29
ln%28100%2F3253%29=-.137t
ln%28100%2F3253%29%2F-.137=25.417 years in the future.
2005+25.417=sometime in the year 2030.