The value V of a machine t years after it is purchased is inversely proportional to the square root of t + 1. The initial value of the machine is $10,000. (a) Write V as a function of t. (b) Find the rate of depreciation when t = 1. (c) Find the rate of depreciation when t = 3.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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The value V of a machine t years after it is purchased is inversely proportional to the square root of t + 1. The initial value of the machine is $10,000. (a) Write V as a function of t. (b) Find the rate of depreciation when t = 1. (c) Find the rate of depreciation when t = 3.

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