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12345 [234]
4 years ago
11

26+6b greater than or equal to 2(3b+4)

Mathematics
1 answer:
ZanzabumX [31]4 years ago
4 0
Infinite number of solutions. <span />
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a theater group made appearances in two cities. The hotel charge before tax in the second city was $500 lower than in the first.
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Natalie consumes only apples and tomatoes. Her utility function is U(x, y) = x 2y 8 , where x is the number of apples consumed a
Kamila [148]

Answer:

16 apples.

Step-by-step explanation:

U(x, y) = x^2y^8

MU_x =\frac{\partial U}{\partial x}  = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\

Price of apples, Px=$4

Price of tomatoes,  Py=$3

Ratio of their Marginal Utilities

\frac{MU_x}{MU_y}  =  \frac{Px}{Py}

\frac{y}{4x}  =  \frac{4}{3}

y=\frac{16x}{3}

Since Natalie’s income is $320

320 = xPx+yPy

320=4x + 3*\frac{16x}{3} \\320= 4x+16x = 20x\\x=\frac{320}{20} = 16\\Also\\y=\frac{16x}{3}=\frac{16X16}{3}=\$85.33

Since x=16, Natalie will consume 16 apples.

6 0
3 years ago
What is the circumference of a circle?
Ivahew [28]

Answer:

C The distance around the circle is the circumference

Step-by-step explanation:

For information:

A is the diameter

B is the radius

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3 years ago
If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with t
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In your question where as ask to find which angel of rotation will image of the polygon coincide with the pre-image if a 12 sided regular polygon rotates about its center. I think the angle is 30 degrees because the polygon has total of 360 degree then divide it to 12 then you will came up with a 30
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