SOLUTION: The value of a new computer netaork for an office is $12 000. If the depreciation of the new computers, with respect to time, in dollars per year is 15%, in how many years will the

Question 1022389: The value of a new computer netaork for an office is $12 000. If the depreciation of the new computers, with respect to time, in dollars per year is 15%, in how many years will the computer network have no value?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Well, theoretically it never falls to no value, but if we take "no value" to mean a value under one penny, we need to find t such that
12000(.85)^t < .01
.85^t < 8.33 x 10^(-7)
Now take the log of both sides and solve for t...
t ln .85 < ln (8.33 x 10^(-7))
t > ln (8.33 x 10^(-7)) / ln .85
(We have to switch the inequality because ln .85 is negative)...
t > 86.16 years

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