SOLUTION: The price of a computer is decreasing at an exponential rate. In 1985, a desktop computer cost $2,500. The price of a comparable computer is decreasing by 3.5% every 2 years. Durin
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Question 1129193: The price of a computer is decreasing at an exponential rate. In 1985, a desktop computer cost $2,500. The price of a comparable computer is decreasing by 3.5% every 2 years. During what year is the price of that comparable computer $1,200?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The price of a computer is decreasing at an exponential rate. In 1985, a desktop computer cost $2,500. The price of a comparable computer is decreasing by 3.5% every 2 years. During what year is the price of that comparable computer $1,200?
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1200 = 2500(1-0.035)^(t/2)
(12/25) = (0.0965)^(t/2)
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Take the log of both sides::
(t/2)*log(0.0965) = log(12/25)
t/2 = -0.3188/-0.0155 = 20.6
time = 41.2 years
Ans:: 1985+42 = 2027
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Cheers,
Stan H.
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