The market equilibrium price for boxes of oranges is $8.64 per box, and the equilibrium quantity is 71 boxes.
What is equilibrium price ?
Equilibrium price is the market price at which the quantity of a good or service demanded by buyers is equal to the quantity supplied by sellers. In other words, it is the price at which the market is in a state of balance, with neither excess supply nor excess demand for the good or service.
At equilibrium price, buyers and sellers agree on the value of the good or service being traded, and the quantity supplied and demanded is matched. The equilibrium price can change as market conditions change, such as changes in consumer tastes, technology, or government regulations.
The equilibrium price is the price at which the quantity of a good demanded by buyers is equal to the quantity supplied by sellers. At a price of $9.00 per box of oranges, there is an excess supply of 30 boxes (80 - 50), and at a price of $8.50 per box, there is an excess demand of 7.5 boxes (75 - 67.5). This means that at $9.00, there are more boxes available than people are willing to buy, and at $8.50, more people want to buy boxes of oranges than there are boxes available.
To find the equilibrium price and quantity, we need to find the price at which the quantity demanded equals the quantity supplied. We can do this by setting the quantity demanded equation equal to the quantity supplied equation and solving for the equilibrium price. In this case, the quantity demanded equation is 50 + (P - 9.00) * (-2.5), and the quantity supplied equation is 80 + (P - 9.00) * 3.0. When we set these two equations equal to each other and solve for P, we get P = 8.64.
Once we have the equilibrium price, we can substitute it back into either the quantity demanded or quantity supplied equation to find the equilibrium quantity. In this case, both the quantity demanded and quantity supplied equations yield the same quantity of 71 boxes when P = 8.64.
Therefore, the market equilibrium price for boxes of oranges is $8.64 per box, and the equilibrium quantity is 71 boxes. At this price and quantity, there is neither an excess supply nor an excess demand in the market, and the market is in equilibrium.
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Select multiples of 4. You will select three.
2
4
22
36
42
48
Answer:
Multiples of 4 are the following:
43648Step-by-step explanation:
2 is a factor of 4, not a multiple. The rest of the numbers listed are multiples of 2. But only the 3 listed above are multiples of 4.
Answer:
4,36,48
Step-by-step explanation:
The multiples of 4 is: 36,48,and 4 because there all in the multiplication chart.
*Please give brainliest*
Describe in your own words how to find the break-even point for a profit equation, and explain why that method works. Specifically, what is the condition mentioned in the reading that allows you to find the break-even point from a profit equation?
When a product's profits from sales equal its manufacturing costs, this is called the break-even point.
Since the break-even point is the point at which total costs and total revenues are equal, or "even," in economics, business, and specifically cost accounting.
Therefore, if opportunity costs were paid and capital received the expected return after adjusting for risk, there is no net loss or gain, and one has "broken even."
The break-even point is the point at which total cost and total revenue are equal in the realm of banking and economics.
The amount of units required to cover all costs is determined using the BEP analysis. Fixed and variable costs make up the overall cost in this case.
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I need all the steps
Answer:
ig
Step-by-step explanation:
\((9-\sqrt{-8} )- (5 + \sqrt{-32} ) \\(9-5) + (-\sqrt{-8}- \sqrt{-32} )\\4 - \sqrt{-8} -\sqrt{-32} \\4-2i\sqrt{2} -4i\sqrt{2} \\4-6i\sqrt{2}\)
An old coin had a value of $840 in 1991
and $1160 in 1999. Find the slope of the line through
the points at (1991, 840) and (1999, 1160). What does
this slope represent?
−4(m+3)=24
What does m=
Answer: m= -9
Step-by-step explanation: First use distributive property, -4(m) is -4m and -4(3) is -12. Then you have -4m -12 =24. Then use 12 and add it to the other side of the equation, cause of the subtraction sign, 12+24=36. Then you have -4m=36. Then divide the 4 to get the m by its self. 36 divided by -4 is -9. Your answer is m=-9
Hope this helps :)
A goat is tethered to a rope that is 3.65 meters long. What is the maximum area of grass that the goat can graze on?
Answer:
3.65 meters
Step-by-step explanation:
If the rope is 3.65 meters long, then the goat can only go as far as the rope is long. That's unless the goat eats the rope.
The maximum area that a goat can graze on will be the area of a circle where the center of the circle will be one end of the rope as shown in the attached diagram.
What is the area of a circle?The area of a circle with radius r is πr².
Radius of the circle= length of the rope = 3.65m
So, area of the circle = \(\pi r^{2}\)
Area of the circle = \(\pi 3.65^{2}\)
Area of the circle = 41.85m².
Therefore, the maximum area of grass that the goat can graze on is 41.85 m²
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The value for √10 is approximately between 3 and 4. Approximate further to find the values to the tenths place that √10 is between.
Answer:
A=3.1
B=3.2
Step-by-step explanation:
I need help k please help gardinuhola
Answer:
Step-by-step explanation:
for circle
diameter = 26 cm
radius = diamtere/2
=26/2
=13 cm
area of circle = πr^2
=3.14^13^2
=3.14*169
=530.66 cm^2
=531 cm^2 (after round off )
area of square= l^2
=5.1^2
=26.01 mi^2
are of rectangle = l *b
=6*5.1
=30.6 m^2
area of triangle = base*height / 2
=9*6.4 / 2
=57.6 / 2
=28.8 yd^2
How do I find the possible degree(s) of a function from the graph alone?
Answer:
To determine the possible degree(s) of a function from the graph alone, you need to examine the behavior of the graph at the extremes (far left and far right) and consider the number of turning points or changes in direction. Here's a step-by-step approach:
Look at the far left side of the graph: Determine the behavior of the graph as it approaches negative infinity. Does the graph approach a specific value, such as a horizontal line (asymptote) or the x-axis? If the graph approaches a horizontal line, it suggests a polynomial function of even degree. If the graph approaches the x-axis, it indicates a polynomial function of odd degree or possibly a function with a root of multiplicity greater than one.
Look at the far right side of the graph: Determine the behavior of the graph as it approaches positive infinity. Similar to step 1, observe if the graph approaches a specific value or a horizontal line. The behavior at the far right side should be consistent with the behavior at the far left side. This can help you identify if the function is even or odd degree.
Examine the number of turning points or changes in direction: Count the number of times the graph changes direction. These points are where the slope of the graph changes from positive to negative or vice versa. The number of turning points can provide an indication of the degree of the polynomial. For example, if there are two turning points, it suggests a polynomial function of degree 3.
Remember that this method provides potential degrees, but it may not definitively determine the exact degree of the function. Additional information or analysis might be required for a more accurate determination.
Please look at the photo! Thank you.
The output value of (g/f)(x) is 9x/(7x + 28).
The domain of g/f is (-∞, -4) U (-4, ∞)..
How to determine the corresponding composite function?In this exercise, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations in simplified form as follows;
(g/f)(x) = (9/(x + 4)) ÷ 7/x
By rearranging the mathematical expression using the multiplication operation, we have the following:
(g/f)(x) = (9/(x + 4)) × x/7
(g/f)(x) = 9x/(7x + 28)
For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;
7x + 28 ≠ 0
7x ≠ -28
x ≠ -4
Domain = (-∞, -4) U (-4, ∞).
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d = 8.1h
The variable h represents the number of hours spent walking dogs, and the variable d
represents the amount of money earned. How many hours in all will it take Janelle to earn a
total of $19.44?
Answer:
2.4 hours or 2 hours, 24 minutes
Step-by-step explanation:
19.44 = 8.1h
h = 2.4
Shawn wants to paint all the surfaces of the table shown below.
A. the volume of 3 rectangular prisms
B. the surface area of 1 triangle and 4 cylinders
C. the volume of 1 rectangular prism and 3 cylinders
D. the surface area of 2 triangles and 1 rectangular prism
What's the answer? How do I solve for this?!
the answer is D
The figure can be divided into a rectangle and 2 triangles
How can you redraw this graph so it appears that Phil's hits have quadrupled since last year. a. Use the same scale and make the top bar twice as thick as the bottom bar. b. Alter the scale so the top bar appears four times as long as the bottom bar. c. Both a and b. d. Neither a or b.
Option C is correct. Both a and b are valid options, but altering the scale to make the top bar appear four times as long as the bottom bar would be the more accurate representation of Phil's hits quadrupling.
To show that Phil's hits have quadrupled since last year, we need to compare the number of hits he received this year with the number of hits he received last year.
a. Using the same scale and making the top bar twice as thick as the bottom bar does not accurately represent the quadrupling of Phil's hits. It only shows that he received more hits this year than last year.
b. Altering the scale so that the top bar appears four times as long as the bottom bar would accurately represent the quadrupling of Phil's hits. This would show that Phil's hits have increased fourfold from last year to this year.
c. Option C is correct. Both a and b are valid options, but altering the scale to make the top bar appear four times as long as the bottom bar would be the more accurate representation of Phil's hits quadrupling.
d. Option D is incorrect because at least one of the options a or b is correct.
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What’s the correct answer for this?
Answer:
B
Step-by-step explanation:
(-5,4)
To get from B to A, the x value increases 5 and the y value increases 5, for every one unit increase in x, y also increases by 1. 1/5 of the way is 1/5 times 5 = 1. Just increase both x and y by 1 to get (-5, 4)
-6+1 = -5 = x and 3 + 1 = 4 = y (-5,4) is the point 1/5 of the way from B to A
A dollar bill is 0.0043 inches thick. How many yards high
is a
pile of a million $1 bills
Hey there! I'm happy to help!
First, let's multiply this thickness by one million to see how many inches this pile is.
0.0043*×1,000,000=4,300 inches
We know that there are 12 inches in a foot and 3 feet in a yard, so there must be 36 inches in a yard.
So, we divide our 4,300 inches by 36 to find how many yards high this pile is.
4300÷36=119 4/9
Therefore, a pile of a million $1 bills is 119 4/9 yards high.
Have a wonderful day! :D
Ben is a coal miner and spends most of his workday in an underground mine. Which is the most likely depth he is at while doing his job?
Answer:-900 feet. I think this is correct so don't use it unless you think its right
Step-by-step explanation:
I need help please!!!
Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.
I prefer Wills method because it is easier and less complicated.
How to solve differences?Wills method:
(5x + 6x) - (2x - 1)
Subtract both 2x and -1
5x + 6x - 2x - - 1
5x + 4x + 1
In conclusion, Wills method is preferred when both methods are compared.
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One batch of trail mix can be made by mixing 3 cups of granola with 0.75 cup of raisins. Hamid needs to make a bigger batch of trail mix. He makes a graph to be sure the mixture will be correct.
On a coordinate plane, the point (3, 0.75) is plotted.
How can he use the graph to find an equivalent ratio?
He can draw a straight line from the origin that passes through (0, 0.75).
He can draw a straight line from (3, 0.75) that passes through (6, 2).
He can draw a straight line from (3, 0.75) that passes through (6, 1).
He can draw a straight line from the origin that passes through (3, 0.75).
put it in the comments im out of answers
the graph that he needs to do is a straight line from the origin that passes through (3, 0.75), the correct option is the last one.
How can he use the graph to find an equivalent ratio?He knows the relation:
3 cups of granola ⇒ 0.75 cups of raisins.
Assuming this is a proportional relation of the form:
y = k*x
Where k is a constant.
Then when x = 0, we also have y = 0, so the line also passes through the point (0, 0), which is the origin.
Then the graph that he needs to do is a straight line from the origin that passes through (3, 0.75), the correct option is the last one.
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what is the value of the expression shown below
2 3/5 - 1 3/5
^ ^
TWO THREE-FIFTHS MINUS ONE THREE-FIFTHS
THE NUMBERS ARE MIXED FRACTIONS
Answer:
1
Step-by-step explanation:
1. One way to do this is converting both into improper fractions. To do this, multiply the whole number by the denominator and add that to the numerator.
2 3/5 --> 2*5 is 10 --> 10+3 is 13. --> 13/5
2. This leaves us with 13/5 - 8/5
3. Subtract the numerators
13/5 - 8/5 = 5/5
4. Simplify. If the numerator is the same number as the denominator, it's a whole number.
5/5 = 1
there are 7 people to be seated in a row. answer the following.A. Find The Number Of Combinations If There Are No Restrictions On The Seating Arrangements. B. There Are Three Friends That Must Sit Together. Find The Number Of Combinations In Which The Three Friends Are Next To Each Other. C. Suppose That An Usher Randomly Assigns The Seats To The 7
A) The Number of Combinations if there are no restrictions on the seating arrangements are 5040 ways.
B) There are three friends That must sit together
in 36 ways.
C) Three friends are next To each other in 144 different ways.
Total number of people = 7 and seated in a row.
Combination is arrangement of objects in a particular order. The formula of combination is
ⁿCₓ = n!/(n-x)! x!
n --> total number of objects
we have to determine how many ways can 7 be seated in a row.
A) if there are no restrictions on seating arrangement, The number of possible ways = n!
Here, n! = 7!
= 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040 ways.
Therefore, there are 5040 ways that the people can be seated when there is no restriction on the seating arrangement.
b) There are three friends that must sit Together. The three persons can be arranged in 3!
The possible number of ways = 3! × 3! × 1
= 3× 2×1 ×3×2×1
= 36
C) If there are three friends must sit next to one another. There are total seven persons . Three persons sit next to one another. The possible number of ways = 3! × 4!
= ( 3 × 2 × 1) × (4 × 3 × 2 × 1)
= 6 × 24
= 144 ways
Therefore, if there are 3 sit next to one another, there are 144 ways of seating arrangement.
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A 0.01 significance level is being used to test a correlation between two variables. If the linear correlation coefficient r is found to be 0.591 and the critical values are r 0.590, what can you conclude?
Answer:
There is sufficient evidence that there is linear correlation between two variable
Step-by-step explanation:
From the question we are told
The significance level is \(\alpha = 0.01\)
The critical value is \(a = 0.590\)
The test statistics is \(r = 0.591\)(linear correlation coefficient )
Now from the data given in the value we see that
\(r > a\) so the null hypothesis is rejected
Hence the conclusion is that there is sufficient evidence that there is linear correlation between two variable
12-(-2) what is the answer
Answer:
12-(-2) is 14
Good luck, hope this helped! :)
Convert the following repeating decimal into a fraction in the simplest format .61
Answer: 61/100 would be the answer
Write as an algebraic expression: the product of 7 and y, increased by 20
Answer: 7y + 20
Step-by-step explanation:
It says the product of 7 and y so you multiply both of them. And increase means add, so you add 20
round to the nearest hundredth?
A
4
?
35°
с
B
The length of the unknown side length, |AB|, is 6.97
TrigonometryFrom the question, we are to determine the value of the unknown side length
The unknown side length is the hypotenuse
Using SOH CAH TOA
We can write that
sin 35° = 4/|AB|
∴ |AB| = 4 /sin35°
|AB| = 4 /sin35°
|AB| = 6.97
Hence, the length of the unknown side length, |AB|, is 6.97
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find the angle measure of minor arc MP.
Step-by-step explanation:
Angle at center = 2 * Angle at circumference.
Angle MNP = 2 * Angle MQP = 30°.
Hence the angle measure of minor arc MP is 30°.
Answer:
30 degrees
Step-by-step explanation:
arc measure in degrees is twice the measure of the inscribed angle
Evaluate the expression when a=
yo
6
3
and x=
7
כס|נים
8
- 2x + a
Write your answer in simplest form.
Answer:
(-9)/(28)
Step-by-step explanation:
Just multiply the numerators (top numbers) (-6)(3) = -18
Multiply the denominators (bottom numbers) (7)(8) = 56
So, we have (-18)/(56). Simplify by dividing by Greatest Common Factor, or GCF. The GCF is 2. So, the final answer is (-9)/(28)
Problem 3.4 (Video 2.5 - 2.6, Lecture Problem) You are interested in calculating the probability that your favorite 1
Game of Thrones character is eliminated in episode X. You have decided to model X as a Geometric (1/4) random variable. (a) Unfortunately, you have learned a spoiler: your favorite character does not appear in episode 4 or beyond. What is the conditional PMF P X∣B
(x) of X given the event B={X<4} ? (b) Given this spoiler, what is the probability that your favorite character is eliminated in one of the first two episodes? (c) Given this spoiler, what is the expected value of X conditioned on the event B ? (d) Let's consider yet another scenario: After watching the show for 2 episodes, you are happy to see that your favorite character has not been eliminated yet. What is the conditional PMF P X∣C
(x) of X given the event C={X>2} ? 1
Somehow, you have already managed to decide on a favorite character before watching any episodes. 2 (e) Let Y=X−2 be the number of additional episodes after the 2 nd that it takes for your favorite character to be eliminated. Using part (d), quickly determine the conditional PMF P Y∣C
(y) of Y given the event C={X>2}. Determine the family of random variables this conditional PMF belongs to, along with the associated parameter(s). (f) Using what you learned in part (e), determine the conditional mean E[X∣C].
(a) The conditional PMF P X∣B (x) of X given the event B={X<4} can be calculated using the formula
P(X=x|B) = P(X=x and B)/P(B).
Since the event B={X<4} includes the events X=1, X=2, and X=3, we can calculate P(B) as the sum of the probabilities of these events:
P(B) = P(X=1) + P(X=2) + P(X=3) = (1/4) + (3/4)(1/4) + (3/4)^2(1/4) = 13/16.
Therefore, the conditional PMF P X∣B (x) is given by:
P(X=1|B) = P(X=1 and B)/P(B) = (1/4)/(13/16) = 4/13
P(X=2|B) = P(X=2 and B)/P(B) = (3/4)(1/4)/(13/16) = 3/13
P(X=3|B) = P(X=3 and B)/P(B) = (3/4)^2(1/4)/(13/16) = 6/13
(b) The probability that your favourite character is eliminated in one of the first two episodes given the spoiler is P(X=1|B) + P(X=2|B) = 4/13 + 3/13 = 7/13.
(c) The expected value of X conditioned on the event B can be calculated using the formula E[X|B] = sum(x*P(X=x|B)) for all x in the support of X. Therefore, E[X|B] = 1*(4/13) + 2*(3/13) + 3*(6/13) = 20/13.
(d) The conditional PMF P X∣C (x) of X given the event C={X>2} can be calculated using the formula P(X=x|C) = P(X=x and C)/P(C). Since the event C={X>2} includes the events X=3, X=4, ..., we can calculate P(C) as the sum of the probabilities of these events: P(C) = P(X=3) + P(X=4) + ... = (3/4)^2(1/4) + (3/4)^3(1/4) + ... = (3/4)^2/(1-(3/4)) = 12/16. Therefore, the conditional PMF P X∣C (x) is given by:
P(X=3|C) = P(X=3 and C)/P(C) = (3/4)^2(1/4)/(12/16) = 1/3
P(X=4|C) = P(X=4 and C)/P(C) = (3/4)^3(1/4)/(12/16) = 1/4
...
(e) The conditional PMF P Y∣C (y) of Y given the event C={X>2} can be obtained by shifting the conditional PMF P X∣C (x) of X given the event C={X>2} by 2 units to the left. Therefore, P Y∣C (y) = P X∣C (y+2) for all y in support of Y. This conditional PMF belongs to the family of geometric random variables with parameter 1/4.
(f) The conditional mean E[X|C] can be calculated using the formula E[X|C] = sum(x*P(X=x|C)) for all x in the support of X. Since the conditional PMF P X∣C (x) is a geometric distribution with parameter 1/4 shifted by 2 units to the right, we can use the formula E[X|C] = 2 + 1/(1/4) = 6.
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What is the range of f(x) = -62*?
O A. y< 1
OB. y<0
O C. y> 0
O D. All real numbers
Answer:
D. all real numbers
Step-by-step explanation:
i think this is the answer sorry if you get it wrong.
the graph of the parabola x=2y^2-6y+3 has an x-intercept (a,0) and two y-integers (0,b) and (0,c). Find a+b+c
9514 1404 393
Answer:
6
Step-by-step explanation:
The sum of the roots (y-intercepts) of the polynomial is the opposite of the ratio of the linear term coefficient and the leading coefficient.
b + c = -(-6/2) = 3
The x-intercept is the constant: a = 3
Then the sum a+b+c is ...
a + (b +c) = 3 + 3 = 6
_____
Additional comment
The factored form of the polynomial for the given intercepts will be ...
x = 2(y -b)(y -c)
and the expanded form of that is ...
x = 2y^2 -2(b+c)y +2bc
The y-coefficient is ...
-2(b+c) = -6
b +c = 3 . . . . . . . divide by -2. This is the result used above.
We show the graph so you can add up the values of the intercepts to see that the sum is 6.