A computer, orginally purchased for $2000, loses value according to the exponential function V = 2000-)ñ, where Vis the value , in dollars, of the computer at any time, t, in years, after the purchase and h represents the half-life , in years, of the value of the computer. After one year, the computer has a value of approximately $1516. a) What is the half-life h of the value of the computer? b) What is the value of the computer after three years? c) How long will it take for the computer to be worth 10% of its purchase price?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 11T: Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the...
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A computer, orginally purchased for $2000, loses value according to the exponential
function V = 2000(÷)7, where V is the value , in dollars, of the computer at any time, t,
in years, after the purchase and h represents the half-life , in years, of the value of the
computer. After one year, the computer has a value of approximately $1516.
a) What is the half-life h of the value of the
computer?
b) What is the value of the computer after three
years?
c) How long will it take for the computer to be
worth 10% of its purchase price?
d) How much will be the depreciation of the value
of the computer during the fourth year?
Transcribed Image Text:A computer, orginally purchased for $2000, loses value according to the exponential function V = 2000(÷)7, where V is the value , in dollars, of the computer at any time, t, in years, after the purchase and h represents the half-life , in years, of the value of the computer. After one year, the computer has a value of approximately $1516. a) What is the half-life h of the value of the computer? b) What is the value of the computer after three years? c) How long will it take for the computer to be worth 10% of its purchase price? d) How much will be the depreciation of the value of the computer during the fourth year?
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