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College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 4PT: An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded...
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The model for continuous (exponential) growth/decay is given by y = ae^rt , where a is the initial amount, r is the relative growth rate (as a decimal), t is time (in years), and y is the amount after t years. Your friend is able to deduct the cost of their new $13,800 computer from their taxes, but must provide an estimate of how much it will depreciate over the next 11 years. Your friend asks you for help and tells you that the computer should depreciate at a continuous rate of 5% per year. What will their computer be worth in 11 years, to the nearest dollar?

The computer will be worth $______

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