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2 years ago

A=1/2f(r+z), solve for r

Mathematics

1 answer:

marin [14]2 years ago

7 0

Answer: $\frac{2A}{f} -2=f$

Step-by-step explanation:

A=1/2(r+2)

2A=f(r+2)

2A/f=r+2

2A/f-2=r

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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 sum, product of <br><img src="https://tex.z-dn.net/?f=2%20%7Bx%7D%5E%7B2%7D%20%20%2B%203x%20%3D%200" id="TexFormula1

spin [16.1K]

I believe the sum of the root is: -3/2
And the product of the root is: 0

I hope this helps and have a great week :)

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2 years ago

Tony rounded each of the numbers 1, 143 and 1, 149

mojhsa [17]

Answer:

last one.................

3 0

3 years ago

Read 2 more answers

An ice cream cone is 5" deep and 2" in top diameter. One scoop of vanilla ice cream, 2" in diameter, is placed on the cone. If t

Ratling [72]

If the total volume of the ice cream exceeds the internal volume of the cone, then it will overflow.

Volume of icecream = 4/3 * pi * r^3 = 4/3*pi*(1)^3 = 4.189 cu. in.Volume of cone = 1/3 * pi * r^2 * h = 1/3*pi*(1)^2*5 = 5.236 cu. in.

Since Volume of cone > Volume of icecream, the cone will not overflow.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

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3 years ago

What is the position of A on the number line below?

Umnica [9.8K]

Answer:

so a fraction itll be a 4/5

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2 years ago