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3 years ago

Is 5\8 bigger than 9/10

Mathematics

1 answer:

Lunna [17]3 years ago

7 0

No, 5/8 is not bigger than 9/10

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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

2 years ago

Write the multiplicative inverse of <br>a) -13/19

irga5000 [103]

Answer:

$- \frac{19}{13}$

Step-by-step explanation:

$the \: multiplicative \: inverse \: of \: \\ - \frac{13}{19} = - \frac{19}{13}$

Product of a number and its multiplicative inverse should be equal to 1.

So,

$\bigg ( - \frac{13}{19} \bigg) \bigg ( - \frac{19}{13} \bigg)$

$= \frac{13}{19}\times \frac{19}{13}$

$=1$

3 0

2 years ago

Sam invests £1800 in the bank for four

KIM [24]

Answer:

£2088

US$ 2,536.48 dollars (2021)

Step-by-step explanation:

4% of 1800 = 72

72 x 4 = 288

1800 + 288 = 2088

He has £2088 at the bank after 4 year

8 0

2 years ago

Which survey question will produce discrete data? Select all that apply.

just olya [345]

What is your gender

Are you married

8 0

2 years ago

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Explain how find is 7 x 20 is similar to find 7 X 2000 product

Harman [31]

You just multiply 7 x 20 and you will get the answer of 140 then just add two zeroes to get 14000.

4 0

3 years ago

Read 2 more answers