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A new car is purchased for $ 33 , 000 $33,000 and over time its value depreciates by one half every 7 years. What is the value of the car 4 years after it was purchased, to the nearest hundred dollars?

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347 cents Mircho
Answer:

The equation of the value of the car over a year is 2357.14x + y = 33,000. Then the value of the car 4 years after it was purchased is $23571.43.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

A new car is purchased for $33,000 and overtime its value depreciates by one half every 7 years.

Then the value of the car is given by the linear equation. Then the line is passing through (0, $33,000) and (7, $16,500). Then we have

Let y be the value of the car and x be the number of years. Then we have

\rm y \- \33000 \ \ = -\dfrac{16,500}{7} (x-0)\\\\y+2357.14x = 33000

Then the value of the car 4 years after it was purchased, to the nearest hundred dollars will be

\begin{aligned} \rm y +2,357.14 \times 4 &= 33,000\\\\\rm y + 9,428.57 &= 33,000\\\\\rm y &= 23,571.43 \end{aligned}

More about the linear system link is given below.

#SPJ1

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