A computer purchased for $1,050 loses 19% of its value every year. The computer's value can be modeled by the function v(t)=a⋅btv(t)=a⋅bt, where vv is the dollar value and tt the number of years since purchase. (A) In the exponential model a=____________ and b=______________ (B) In how many years will the computer be worth half its original value? Round answer to 1 decimal place. The answer is___________  years

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.2: The Natural Exponential Function
Problem 34E
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A computer purchased for $1,050 loses 19% of its value every year.

The computer's value can be modeled by the function v(t)=a⋅btv(t)=a⋅bt, where vv is the dollar value and tt the number of years since purchase.

(A) In the exponential model a=____________ and b=______________

(B) In how many years will the computer be worth half its original value? Round answer to 1 decimal place.

The answer is___________  years

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