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Finger [1]
3 years ago
12

One survey estimates that,on average, the retail value of a mid sized car decreases by8% annually.if the retail value of a car i

s v dollars today,which expression represents the car value 1year later?
Mathematics
2 answers:
o-na [289]3 years ago
7 0

Answer:

0.92v

Step-by-step explanation:

Scrat [10]3 years ago
5 0
Percentage by which the average value of mid sized car decreases each year = 8%
Retail value of a car today = v dollars
Amount of decrease in the value of the car after 1 year = (8/100) * v
                                                                                         = 2v/25 dollars
Then
The equation that represents the value of the car after 1 year = v - (2v/25) dollars
                                                                                                   = (25v - 2v)/25 dollars
                                                                                                   = 23v/25 dollars
So following this expression the value of the mid sized car can be easily determined after 1 year. I hope this is the answer you were looking for and the procedure is also clear to you.
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The two equations given in the question are
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kaheart [24]

Solution set is: (7,\frac{13}{3})

Option B is correct

Step-by-step explanation:

We need to find the solution to system of equations

y=\frac{1}{3}x+2\\y=\frac{4}{3}x-5

Let:

y=\frac{1}{3}x+2\,\,\,eq(1)\\y=\frac{4}{3}x-5\,\,\,eq(2)

Putting value of y from eq(2) into eq(1)

\frac{4}{3}x-5=\frac{1}{3}x+2\\Combining\,\,like\,\,terms:\\\frac{4}{3}x-\frac{1}{3}x=2+5\\Taking\,\,LCM\\\frac{4x-1x}{3}=7\\\frac{3x}{3}=7\\x=7

So, value of x=7

Putting value of x into equation 1 to find the value of y:

y=\frac{1}{3}x+2\\y=\frac{1}{3}(7)+2\\y=\frac{7}{3}+2\\Taking\,\,LCM\\y=\frac{7+2*3}{3}\\y=\frac{7+6}{3}\\y=\frac{13}{3}

So, value of y = \frac{13}{3}

Solution set is: (7,\frac{13}{3})

Option B is correct

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

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