Answer:
x = 8
Step-by-step explanation:
1/2(4x - 8) + 3x = 36
= 2x - 4 + 3x = 36
= 5x - 4 = 36
= 5x = 40
= x = 8
The exponential function models the value v of the car after t years is V = 27000 * (0.93)^t
<h3>How to determine the exponential model?</h3>
The given parameters are:
Initial value, a = $27,000
Depreciation rate, r = 7%
The value of the car is then calculated as:
V = a * (1 -r)^t
Substitute known values
V = 27000 * (1 - 7%)^t
Evaluate the difference
V = 27000 * (0.93)^t
Hence, the exponential function models the value v of the car after t years is V = 27000 * (0.93)^t
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Please find the attached image
ANSWER
72 square feet
EXPLANATION
The perimeter of a rectangle is given by:
P= 2l+2w
It was given that, the perimeter of the rectangular mat, is 36 feet.
36= 2l+2w
Divide through by 2.

It was given also that, the length of the mat is twice its width.
This implies that,

Put equation (2) into equation (1) to get,



This means that the length is 12 ft.
The area of the rectangular mat is

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