computer, originally purchased for $2000, loses value according to exponential equation V(t) = 2000(1/2)t/h, where V is the value, in dollars, of the computer at any time, t, in years, after purchase and h represents the half-life, in years, of the value of the computer. After 1 year, the computer has a value of $1516. a) What is the half-life of the value of the computer? b) How long will it take for the computer to be worth 10% of its purchase

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 68SE: An investment account with an annual interest rateof 7 was opened with an initial deposit of 4,000...
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A computer, originally purchased for $2000, loses value according to exponential equation V(t) = 2000(1/2)t/h, where V is the value, in dollars, of the computer at any time, t, in years, after purchase and h represents the half-life, in years, of the value of the computer. After 1 year, the computer has a value of $1516.

a) What is the half-life of the value of the computer?

b) How long will it take for the computer to be worth 10% of its purchase price?

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