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The value of an industrial embroidery machine is decreasing according to the function defined byV(t) = 10,890(3)–0.21where tis the number of years since the machine was purchased. What does the y-intercept represent?OA. the value of the machine after 3 yearsB.the amount of time it takes for the value of the machine to reach zeroOC.the original value of the machineODthe rate at which the value of the machine depreciates21 Edimentum All rights reserved

The value of an industrial embroidery machine is decreasing according to the function defined byVt 108903021where tis the number of years since the machine was class=

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Solution

We have the following expression:

[tex]V(t)=10890(3)^{-0.2t}[/tex]

for this case the y intercept is given when t=0 so we have:

[tex]V(0)=10890(3)^{-0.2\cdot0}=10890[/tex]

And this value represent the following:

C. the original value of the machine

Since thats the starting value without depreciation

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