SOLUTION: Please help me and show all work.
A computer purchased for $700 loses 12% of its value every year.
The computer's value can be modeled by the function v(t)=a⋅bt, whe
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Question 1024181: Please help me and show all work.
A computer purchased for $700 loses 12% of its value every year.
The computer's value can be modeled by the function v(t)=a⋅bt, where v is the dollar value and t the number of years since purchase.
(A) In the exponential model a= and b=. (give your answers in decimal form; rounding to the nearest tenth if necessary)
(B) In how many years will the computer be worth half its original value? Round answer to 1 decimal place.
The answer is years
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A computer purchased for $700 loses 12% of its value every year.
The computer's value can be modeled by the function v(t)=a⋅bt, where v is the dollar value and t the number of years since purchase.
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(A) In the exponential model a = 700 and b = 0.88
(give your answers in decimal form; rounding to the nearest tenth if necessary)
(B) In how many years will the computer be worth half its original value? Round answer to 1 decimal place.
350 = 700*(0.88)^t
0.88^t = 0.5
----
t = log(0.5)/log(0.88) = 5.4 years
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Cheers,
Stan H.
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The answer is years
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