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Scrat [10]
4 years ago
15

Given a consumption function of c = $25 + 0.75yd, the average propensity to consume equals 1 when disposable income equals

Mathematics
1 answer:
Sphinxa [80]4 years ago
7 0

Answer: Disposable income = $100.

Explanation:

Since we have given that

C=\$25+0.75Y

And, average propensity to consume = 1

i.e. APC = 1

As we know the formula of APC ,

APC=\frac{C}{Y}=1\\\\\implies C=Y

So, our equation becomes,

Y=\$25+0.75Y\\\\Y-0.75Y=\$25\\\\0.25Y=\$25\\\\y=\frac{25}{0.25}\\\\Y=100

Hence, Disposable income = $100.

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The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 273 meters, find the dimensions
AleksandrR [38]

The length of the rectangle = 16 meters

The width of the rectangle = 10.5 meters

<u>Step-by-step explanation</u>:

Given that,

The Area of the rectangle is 273.

<u><em>Step 1</em></u><em> :</em>

Let, the width of the rectangle be 'x'

The length of the rectangle is 2x - 5

<u><em>Step 2</em></u><em> :</em>

Area of the rectangle = length \times width

                             273 = (2x - 5) x

                             273 = 2x^2 - 5x

<u><em>Step 3</em></u><em> :</em>

The equation formed is 2x^2 - 5x -273 = 0

a= coefficient of x^2 = 2

b= coefficient of x = -5

c = constant = -273

Find the roots of the equation, to find the width.

<u><em>Step 4</em></u><em> :</em>

Find the roots using factorizing method,

ac = 2\times-273 = -546 and b= -5

Factorizing -546 as -26\times21

The product of -26\times21 = -546

The sum of -26 + 21 = -5

<u><em>Step 5</em></u><em> :</em>

The roots of the equation 2x^2 - 5x -273 = 0 are x= -26/2 and x= 21/2

The values of x are x= -13 and x= 10.5

Since the width cannot be a negative value, neglect x= -13

<u><em>Step 6</em></u><em> :</em>

Therefore,

The width of the rectangle = 10.5 meters

The length of the rectangle = 2x-5

                                                = 2(10.5) - 5

                                                = 21 - 5

                                    length = 16 meters

5 0
3 years ago
The opposite angles in a parallelogram have the same measure true or false
Snowcat [4.5K]
Diagonal angles have the same measure - not sure what u mean by oposite.
3 0
4 years ago
PLEASE HELP THIS IS URGENT !
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4, 9, 16, 25, 36, 49, 64, 81, 100, 121

a negative times a negative is a positive and squaring those numbers would be multiplying a negative by itself.

For example (-2)*(-2) is 4

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The sum of all but one interior angle of a heptagon is 776°. The final angle must have a measure of
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Answer:

Step-by-step explanation:

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y - 4 = 4/3x - 4

y = 4/3x

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