Charlie's utility function is U(A, B) = AB, where A and B are the numbers of apples and bananas, respectively, that he consumes. When Charlie is consuming 20 apples and 80 bananas, if we put apples on the horizontal axis and bananas on the vertical axis, the slope of his indifference curve at his current consumption is:____________a. -8.b. -1/4.c. -20.d. -4.e. -1/8.

Answers

Answer 1

Answer:

D. -4

Step-by-step explanation:

The formula for calculating the slope of his indifference curve at his current consumption is expressed as:

M = -∆y/∆x

∆y is the change in y axis

∆x is the change in x axis

Since apples are put in the horizontal axis, ∆x = 20

Since banana are on the y axis, then ∆y = 80

Substituting the given values into the formula

M = -80/20

M = -8/2

M = -4

Hence the slope of his indifference curve at his current consumption is -4.

Option D is correct.


Related Questions

I need help again please help me with this question

Answers

Answer:

The size of a sundae and the amount of calories it contains.

Step-by-step explanation:

The answer choice is the only one with a positive correlation, because it is the only one that isn't depleting or going down in size. No matter if you eat the sundae or what size it becomes, the calories it contains will still be the same for the whole amount.

When a car travels, gas is used and it depletes. As a snowball does when it melts. And "the temperature on Tuesday" has no correlation involved at all

The perimeter of the rectangle below is 134 units. Find the length of side RS. Write your answer without variables

Answers

Answer:

RS = 30 units

Step-by-step explanation:

Given:

Length (PS) = [tex] 4y + 1 [/tex]

Width (PQ) = [tex] 3y + 3 [/tex]

Perimeter = 134 units

Required:

RS (width)

SOLUTION:

Perimeter of a rectangle = 2(length + width)

Plug in the values into the equation

134 = 2[(4y + 1) + (3y + 3)]

134 = 2[4y + 1 + 3y + 3]

134 = 2[7y + 4]

134 = 14y + 8

Subtract 8 from each side of the equation

134 - 8 = 14y

126 = 14y

Divide both sides by 14.

126/14 = 14y/14

9 = y

y = 9

✍️RS = Width (PQ) = [tex] 3y + 3 [/tex]

Plug in the value of y

RS = tex] 3(9) + 3 [/tex]

RS = tex] 27 + 3 [/tex]

RS = 30

Lois is four times as old as her son Don. The sum of their ages is 40. How old is Don?
a.Create an equation that can be used to solve this problem.

b.How old is Don?

Answers

Answer: Don is 8 yrs old

Explanation :
Lois = 4 (Don)
L+ D = 40
4D+D=40
5D=40
D=8
Her son don is 8 years old

5. Write what the three missing digits could be in this calculation.
__x_=378​

Answers

379 / 9 = 42

So it could be. 9 x 42 = 378
1 x 378

2 x 189

3 x 126

Here are a few, and there’s plenty more. Hope this helps!! ;)

the weights of steers in a herd are distributed normally. the standard deviation is 200lbs and the mean steer weight is 1400lbs. find the probability that the weight of a randomly selected steer is less than 1859lbs

Answers

Answer:

The probability that the weight of a randomly selected steer is less than 1859lbs is 0.9890

Step-by-step explanation:

Given

Mean = 1400 lbs

SD = 200 lbs

In order to find the probability of a random variable x we have to find the z-score of the data point.

z-score is calculated by:

[tex]z = \frac{x-mean}{SD}[/tex]

Putting x=1859

[tex]z = \frac{1859-1400}{200}\\z = \frac{459}{200}\\z = 2.295[/tex]

The z-score for 1859 is 2.295

We have to use the z-score table to find the required probability

So,

[tex]P(z<2.295)\ or\ P(x<1859) = 0.9890[/tex]

Hence,

The probability that the weight of a randomly selected steer is less than 1859lbs is 0.9890

simplyfy
5xxx
6xxxy
2xxx3xy

Answers

Answer:

5xxx + 2xxx +6xxxy + 3xy

7xxx + 6xxxy + 3xy

Step-by-step explanation:

Answer:

[tex]5x^3,6x^3y,6x^4y[/tex]

Step-by-step explanation:

First  we write the x factors in exponential form (using powers)Just count the number of x and then use that number as the powerso [tex]5xxx=5x^{3}[/tex]  since we have 3 x'sthen [tex]6xxxy=6x^3y[/tex] same as the firstFor the third one, group the numbers together and each letter with its group so [tex]2xxx3xy=2*3*xxxx*y[/tex] then multiply the numbers and change x in exponent formthen [tex]2*3*xxxx*y=6*x^4*y=6x^4y[/tex]

Brainliest PLZ HELP!!! Explain 36. ABC is an isosceles triangle with vertex angle B. AB = 5x – 28, AC = x+5 and BC = 2x + 11. Find
the length of the base.
a. 13
b. 37
c. 18
d. 39

Answers

Answer:

the answer is 37

take any 2 sides and equate it

then u will get the value of x then then take the aside and put the value of x u will get the answer

A rectangular prism has a volume of 686 cubic units. How many unit cubes would fill the volume of the solid if they were packed without any gaps or overlaps?

Answers

Answer:

2 unit cubes of 7 units side length can fill the volume of the solid without overlap

Step-by-step explanation:

Volume of a cube is L^3

Let the number of cubes be n

Since the cubes are similar,

then;

nL^3 = 686

nL^3 = 343 * 2

By inspection

L^3 = 343 (since it is a perfect cube and the cube root is 7)

n = 2

If the measures of Angle 3 is 46 degrees , how much is the measure of angle 6?

Answers

Answer:

Angle 6 = 46°

Step-by-step explanation:

They are alternate interior angles which mean they are congruent

PLEASE ITS DUE IN 3 MINUTES-

Mr. Tucker earns $250 per week working in an appliance store. In addition, he earns 2% commission on all of his sales. Last week, he sold $2,800 worth of appliances. What was Mr. Tucker’s total income for the week?

Answers

Answer:

306 dollars is his total income

Step-by-step explanation:

You just have to multiply 2,800 dollars by 0.02 because the commission is 2%. when You multiply both the product is 56. Add 56 to his weekly income of250 and dolars and you get. 306 dollars for this weks total income.

-5/4c - 1/2 = -3/4 + 5/8c​

Answers

Answer:

c=2/15 have a great day! :D

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 5/8c from both sides.

Step 3: Add 1/2 to both sides.

Step 4: Multiply both sides by 8/(-15).

i need help on 23 !!

Answers

Answer:

Step-by-step explanation:

1/4 * 2/3 = 2 / 12 = 1/6

HELPPPP PLZ
Savannah drew a map of Texas for her Geography class. According to Savannah’s map scale, one-half inch on the map represents approximately 77.5 kilometers. If the actual distance from Austin to El Paso is approximately 930 kilometers, what is the approximate distance between Austin and El Paso on Savannah’s map?
A.24 inches
B.2 inches
C.6 inches
D.12 inches

Answers

Answer:

A

Step-by-step explanation:

the scott family is trying to save as much money as possible

Answers

Do you have any more context ?

Consider functions f and g.

What is the value of ?

The words don't actually matter, it is the picture that has the question.

Answers

Answer:

we get [tex]\mathbf{(g \ o \ f)(4)=9}[/tex]

Option C is correct.

Step-by-step explanation:

We are given:

[tex]f(x)=-x^3\\g(x)= |\frac{1}{8}x-1|[/tex]

We need to find (g о f)(4)

For finding (g о f)(4) we will first find g(f(x)) i.e putting value of f(x) inside g(x) and then put x=4

[tex](g \ o \ f)(x)=g(f(x))\\(g \ o \ f)(x)=|\frac{1}{8}(-x^3)-1 |[/tex]

Now, putting x=4

[tex](g \ o \ f)(x)=|\frac{1}{8}(-x^3)-1 |\\Put \ x=4\\(g \ o \ f)(4)=|\frac{1}{8}(-(4)^3)-1 |\\(g \ o \ f)(4)=|\frac{1}{8}(-64)-1 |\\(g \ o \ f)(4)=|-8-1 |\\(g \ o \ f)(4)=|-9| \\\\We \ will \ use \ absolute \ value \ i.e \ 9 \\(g \ o \ f)(4)=9[/tex]

So, we get [tex]\mathbf{(g \ o \ f)(4)=9}[/tex]

Option C is correct

Answer:

c is correct answer

just use formula

I need help with this question

Answers

Answer:

dfjkdhfhdsjfkldsjkljsdk;lv

Step-by-step explanation:

fjwdnjksnvl;snv;s

The length of Line AB would be 40

Calculate the equation of the line through the points (-1, 1), (4,0), and (24,-4).

Answers

Answer:

slope intercept form: y=-1/5x + 4/5

A researcher developing scanners to search for hidden weapons at airports has failed to conclude that a new scanner is significantly better than the current scanner. He made his decision based on a test using α=0.025.

a. Would he have made the same decision at α=0.20?
b. How about α=0.005? Explain.

Answers

Answer:

a. not sure

b. yes

Step-by-step explanation:

According to the given scenario, the following information is mentioned

[tex]\alpha[/tex] =0.025

In the case when the alpha is equivalent to 0.025 so the p test value would be more than the significance level i.e. 0.025 as the prescribed test is not important

So here

p>0.025

In the above case i.e. p>0.025 this does not mean that p>0.2 so we are not sure about this case whether he made teh same decision or not

Now in the another case, if the significant level is 0.005 so we are sure that p>0.005 as it is more than 0.025 so here also the test is not significant

So, here the same decision could be made

Joe scored 88% on a test. He answered 22 questions correctly. How many questions were on the test

Answers

If Joe got an 88% on a test, answering 22 questions correctly, then there were 25 questions on the test. Divide 22 by 88 and multiply by 100 to find this answer. Please vote my answer as brainliest. I hope this helps

Approximate the logarithm using the properties of logarithms, given
logb 2 ≈ 0.3562,

logb 3 ≈ 0.5646,
and
logb 5 ≈ 0.8271.
(Round your answer to four decimal places.)
㏒b(2b^3)

Answers

que representa Laos hombres con relacion al total

HOW DO U SIIMPLIFY FRACTIONS!!!!!!!! IM NOT ON A TEST BUT I NEED TO KNOW I WAS ABSENT!!!!!!!!!!!!!!!!!!!!!PLZZZZZZZZZZZZZZZZZZZZZ HELP ASAP

Answers

Answer:

Following are the steps to simplify mixed fractions: Find the highest common factor (HCF) of numerator and denominator of the fraction part. Divide both the numerator and the denominator by HCF. The whole number part will remain the same.

Step-by-step explanation:

-12x4m8n 6x5m-10n-6​

Answers

Answer:

whats the qeustion

Step-by-step explanation:

What’s the question ?

x^2+8x=0

what is the sum of the solutions? please help me!!​

Answers

Answer:

Step-by-step explanation:

0

,

8

What does 2.89x0.79x1.35= equal?

Answers

Answer: 3.082185x^2

Step-by-step explanation: Find the exact value using trigonometric identities

Ebony's bank balance first reached $400 on Day 4. The last day her balance was $400 was Day 8. Look at the picture. Brainliest Answer. Only answer if your 100% sure . ​

Answers

Answer:

It stays true because it stays the same amount so B would be the correct answer.

Step-by-step explanation:

8. King has started jumping rope as part of his exercise routine. He keeps track of his jumps and time spent jumping to map his progress. Most recently, he jumped 497 times in 7 minutes. Which of the following describes king's pace?​

Answers

Answer:

cockdabackdecockdacoin

Step-by-step explanation:

huuuuuuuuuuuuuuuuuuuuu

Answer:

71 times per minute

Step-by-step explanation:     497/7=71

A chef uses 13 pounds of sugar in 4 weeks. Find his rate of usage in pounds per week.

Answers

the rate would be (2 1/4 lbs/week)

Mason Crosby kicked a career long 61 yard field goal. How many feet did the ball travel?

Answers

Answer:

fgqwefgwdgnbn8jhvdsihijhofwebhiwg7dyhdg h hy7rhbfwe  r2eery

Step-by-step explanation:

sdheeht vuhudfvbujhnrsdgbkbhdpouibeihbrtuiovb esg7veg8sgxvuew hr 8b0uw e

How many squares are in the 20th case​

Answers

Answer:

400

Step-by-step explanation:

In a semiconductor company's quality control test, a machine found that 14 out of a sample of 234 computer chips were defective. How many of the 4705 such chips that the company makes each month would you expect to be defective?

Answers

Answer:

281-282

Step-by-step explanation:

Other Questions
A dog groomer wants to gather information about how often dog owners have their dogs groomed. She decides to takea sample from her local veterinarian's office, which provides an alphabetized list of all clients who bring in dogs. Thedog groomer randomly selects one of the first 10 clients, and calls that client and every 10th client after that on the listto inquire about dog-grooming habits. What kind of sample is this? Will mark as brainliest if correct! main reason to down fall of caliphate Which nation's concept was" peaceful resistance"? a.Cheyenneb.Mohawk c.Sue How did the new business structures such as corporations, pools, trusts, and holding companies lead to the growth of an industrialized economy? 1. What is the title of this painting2. what is an adjective that describes Washington in it PLEASE ANSWER FAST(SOCIAL MEDIA) 4. Were you surprised to learn that China shut off access to Twitter? What do you think itwould be like to live in such an oppressive society? The following graph shows the proportional relationship between the cost and duration of a car rental.Which statements about the graph are true?Choose all answers that apply:Choose all answers that apply:(Choice A)AThe yyy-coordinate of point AAA represents the total cost of a 555-day car rental.(Choice B)BThe total cost of a 222-day car rental is \$90$90dollar sign, 90.(Choice C)CNone of the above how many solutions does the equation 2(2x- 10)-8 =-2(14-3x) have?A.exactly one solution B. exactly two solutions C. no solution D.infinitey many solutions Racism was only in the South during Reconstruction.Group of answer choicesTrueFalse What is texture? Identify this painting and explain how the artist has used texture to create this piece. HELP I GIVE BRAINLIEST Can Somebody Help Me With One. Pleasee somebody please help me what is 15 / 3 7/20 PLEASE HELP!! I'LL MARK YOU BRAINIEST!!! what things according to saint francis bring true gladness answer all please!!!!!!!!!! Ive been Dancing in my room, swaying my feetTryna give you love and a kiss on the cheek Which words are used to form a compound subject or compound predicate?when, whereand, orthe, thatwith, of Elena's aunt gave her $100 for her birthday with the condition that Elena buys herself something. In deciding how to spend the money, Elena narrows her options down to four choices: Option A, Option B, Option C, and Option D. Each option costs $100. Finally, she decides on Option B. The opportunity cost of this decision is:________a. the value to Barb of Options A, C and D combined.b. the value to Barb of the option she would have chosen had Option B not been available.c. the average of the values to Barb of Options A, C, and D.d. $100.