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A machine your company owns has a value given by v = (-0.45)t 5.8 where v is the value in thousands of dollars, t years from the date of purchase. Graph the equation and use the graph to estimate the value of the machine (in thousands of dollars) after 1 years.

Sagot :

Answer:

There is no certified answer for this question so we are just ging to tell you how to do it based on our understanding.

Step-by-step explanation:

Certainly! Let’s break this down step by step.

Equation for the Value of the Machine: The value of the machine is given by the equation: [ v = (-0.45)t^{5.8} ]

Graphing the Equation: To graph this equation, we’ll plot points using different values of (t) and corresponding values of (v). Let’s choose a few values of (t):

When (t = 0), the value of the machine is: [ v(0) = (-0.45)(0)^{5.8} = 0 ]

When (t = 1), the value of the machine is: [ v(1) = (-0.45)(1)^{5.8} ]

When (t = 2), the value of the machine is: [ v(2) = (-0.45)(2)^{5.8} ]

And so on for other values of (t).

Estimating the Value After 1 Year: Let’s calculate the value of the machine after 1 year: [ v(1) = (-0.45)(1)^{5.8} ] Using a calculator or software, we find that (v(1) \approx -0.45). Therefore, the estimated value of the machine after 1 year is approximately $450 (in thousands of dollars).

Graph: Here’s a rough sketch of the graph of the equation (v = (-0.45)t^{5.8}): !Graph of v = (-0.45)t^{5.8} Note that the graph is decreasing because of the negative coefficient (-0.45).

Remember that this is an estimate based on the given equation. Actual market fluctuations and other factors may affect the machine’s value.

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