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Step2247 [10]
3 years ago
12

Jean-pierre consumes only apples and bananas. he prefers more apples to less, but he gets tired of bananas. if he consumes fewer

than 28 bananas per week, he thinks that one banana is a perfect substitute for one apple. but you would have to pay him one apple for each banana beyond 28 that he consumes. the indifference curve that passes through the consumption bundle with 31 apples and 40 bananas also pass through the bundle with x apples and 23 bananas, where x equals:
Mathematics
1 answer:
Art [367]3 years ago
3 0
Bundle (31 , 40) has 40 bananas.
So 40 - 28 = 12 bananas
These 12 banana give the consumer negative utility which will be balance one for one apple.
So we have to need 12 apple to balance it.
So the final utility of apples and banana is 28 + (31 - 12) = 28 + 19 = 43
In second bundle (X , 23) has 23 bananas. We need to get the same utility 43.
Which we will get from 43 - 23 = 20 apples.
So X equal to 23.
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Please help me :)))))
svetoff [14.1K]
Part a)

Answer: 5*sqrt(2pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(50/pi)
r = sqrt(50)/sqrt(pi)
r = (sqrt(50)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(50pi)/pi
r = sqrt(25*2pi)/pi
r = sqrt(25)*sqrt(2pi)/pi
r = 5*sqrt(2pi)/pi

Note: the denominator is technically not able to be rationalized because of the pi there. There is no value we can multiply pi by so that we end up with a rational value. We could try 1/pi, but that will eventually lead back to having pi in the denominator. I think your teacher may have made a typo when s/he wrote "rationalize all denominators"

============================================================

Part b)

Answer: 3*sqrt(3pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(27/pi)
r = sqrt(27)/sqrt(pi)
r = (sqrt(27)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(27pi)/pi
r = sqrt(9*3pi)/pi
r = sqrt(9)*sqrt(3pi)/pi
r = 3*sqrt(3pi)/pi

Note: the same issue comes up as before in part a)

============================================================

Part c)

Answer: sqrt(19pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(19/pi)
r = sqrt(19)/sqrt(pi)
r = (sqrt(19)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(19pi)/pi
8 0
3 years ago
Read 2 more answers
Find if the triangles are similar. Please show your work, I need it done by tomorrow morning​
postnew [5]

Answer:

I'm not sure. but igs there similar because they both have 2 corresponding angles

8 0
3 years ago
Read 2 more answers
Plz help me this is hard for me​
MaRussiya [10]

Answer:

it is so simple lol

Step-by-step explanation:

just know that that angle is 90 degrees which means that you should do 90-41

8 0
3 years ago
Read 2 more answers
Which of the following is true about horizontal asymptotes?
8090 [49]

A  function has a horizontal asymptote at the value of y = a if the line y = a can be used to estimate the end behavior of a function and if f ( x ) → a as x → ∞ or x → − ∞  is the correct statement about horizontal asymptotes. Option A

<h3>What are horizontal asymptotes?</h3>

A horizontal asymptote of a graph can be defined as a horizontal line at  y = b where the graph tend to approach the line as an inputs approach to infinity ( ∞ or –∞).

A slant asymptote of a graph is known as a slanted line y = mx + b where the graph approaches the line as the inputs approach the positive infinity ∞ or  to the infinity –∞.

Thus, a function has a horizontal asymptote at the value of y = a if the line y = a can be used to estimate the end behavior of a function and if f ( x ) → a as x → ∞ or x → − ∞  is the correct statement about horizontal asymptotes. Option A

Learn more about horizontal asymptotes here:

brainly.com/question/1851758

#SPJ1

8 0
2 years ago
Write 162 as a product of primes.<br> Use index notation when giving your answer.
Anika [276]

Answer:

2²×3³

Step-by-step explanation:

162 can we shown as:

81*2=162 as 2 is prime we leave it out and focus of 81:

18*3=81 we leave out 3:

3*6=18 we leave out 3 again:

3*2=6

so our answer is 2*2*3*3*3 which in index form is 2²*3³ as there are two 2s and three 3s.

7 0
3 years ago
Read 2 more answers
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