SOLUTION: 3. You just purchased a new computer for $1,600.00. Unfortunately your computer depreciates at a rate of 20% per year.
a. Write the model, V(t), that describes the relationship be
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Question 1001105: 3. You just purchased a new computer for $1,600.00. Unfortunately your computer depreciates at a rate of 20% per year.
a. Write the model, V(t), that describes the relationship between the value of the computer, V, and the time in years, t, since you purchased it.
b. Using your model, calculate how much the computer will be worth in 2 years.
c. If this trend continues, how long until your computer is worth half of its original value?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
You just purchased a new computer for $1,600.00. Unfortunately your computer depreciates at a rate of 20% per year.
a. Write the model, V(t), that describes the relationship between the value of the computer, V, and the time in years, t, since you purchased it.
V(t) = 1600*0.8^t
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b. Using your model, calculate how much the computer will be worth in 2 years.
V(2) = 1600*0.8^2 = $1024.00
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c. If this trend continues, how long until your computer is worth half of its original value?
Solve::
800 = 1600*0.8^t
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0.8^t = 0.5
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t = log(0.5)/log(0.8) = 3 years
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Cheers,
Stan H.
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