in this problem, p is in dollars and q is the number of units. find the elasticity of the demand function 2p 3q = 90 at the price p = 15
Answers
Your answer: The elasticity of the demand function 2p 3q = 90 at the price p = 15 is -0.5.
To find the elasticity of the demand function, we need to use the following formula:
Elasticity = (dq/dp) * (p/q)
where dq/dp is the derivative of q with respect to p, and (p/q) is the ratio of the two variables at a given point.
First, we need to solve the demand function for q in terms of p:
2p + 3q = 90
3q = 90 - 2p
q = (90 - 2p)/3
Next, we need to find the derivative of q with respect to p:
dq/dp = (-2/3)
Finally, we can plug in the values for p and q to find the elasticity at p = 15:
q = (90 - 2(15))/3 = 20
(p/q) = 15/20 = 0.75
Elasticity = (-2/3) * (15/20) = -0.5
Therefore, the elasticity of the demand function 2p + 3q = 90 at the price p = 15 is -0.5. This means that a 1% increase in price would lead to a 0.5% decrease in quantity demanded.
learn more about " demand function":-https://brainly.com/question/24384825
#SPJ11
Related Questions
Which expression is equivalent to \(sin\frac{7\pi }{6}\)?
![Which expression is equivalent to [tex]sin\frac{7\pi }{6}[/tex]?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/EV5XSg5wGKgJiNh9v7K15HkKxMcGQGoK.png)
Answers
Check the picture below.
notice, the pairs in the Unit Circle are the (cosine , sine) pair, which are equivalent to (x , y) values in a cartesian plane.
![Which expression is equivalent to [tex]sin\frac{7\pi }{6}[/tex]?](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/kzxS3V5x2Qcpz6w4FpF1BQCpGmBNT4HB.png)
Answer:
D on edg 2022
Step-by-step explanation:
If a business had sales of $4,000,000, and a margin of safety of 25%, the break-even point was:
a. $3,000,000
b. $12,000,000
c. $1,000,000
d. $5,000,000
Answers
If a business had sales of $4,000,000, and a margin of safety of 25%, the break-even point was is c. $1,000,000.
The margin of safety is the difference between the actual or expected sales and the break-even point. In this case, if the margin of safety is 25%, it means that the business is generating sales that are 25% higher than the break-even point.
To calculate the break-even point, we can use the following formula:
Break-even point = Fixed costs / Contribution margin ratio
The contribution margin ratio is the difference between the sales price and variable costs, divided by the sales price. We don't have enough information to calculate it directly, but we can use the margin of safety to estimate it.
If the margin of safety is 25%, it means that the contribution margin ratio is 25% of the sales price. So, the variable costs must be 75% of the sales price, and the contribution margin ratio is 25%/100% = 0.25.
We know that the sales are $4,000,000, but we don't know the fixed costs. However, we can use the break-even formula to solve for it:
$1,000,000 = Fixed costs / 0.25
Fixed costs = $250,000
Therefore, the break-even point is $250,000 / 0.25 = $1,000,000.
Based on the given information, the break-even point for the business with sales of $4,000,000 and a margin of safety of 25% is $1,000,000.
To know more about sales visit:
https://brainly.com/question/29436143
#SPJ11
. The cost of a 30 second commercial during the Super Bowl in 2000 was $2.5 million. The cost of a 30 second commercial during the Super Bowl in 2010 was $4.5 million. Let x represent the number of years since 2000 and y represent the cost of a 30 second commercial( in millions of dollars). Write two ordered pairs that represent this situation. *
Answers
Answer:
The two ordered pairs that represent this situation are :
\((0,2.5)\) and \((10,4.5)\)
Step-by-step explanation:
We know that the cost of a 30 second commercial during the Super Bowl in 2000 was $2.5 million.
We also know that the cost of a 30 second commercial during the Super Bowl in 2010 was $4.5 million.
The variable ''x'' represents the number of years since 2000 and the variable ''y'' represents the cost of a 30 second commercial (in millions of dollars).
An ordered pair is a pair with the following form :
\((a,b)\)
Where ''a'' and ''b'' are real numbers. Generally, when we are talking about functions we write the ordered pair as \((x,y)\)
In the first case, we have \(x=0\) and \(y=2.5\)
We can't forget how we defined the variables ''x'' and 'y''.
In the second case, we have \(x=10\) (Ten years from 2000 to 2010) and \(y=4.5\)
The two ordered pairs that represent this situation are :
\((0,2.5)\) and \((10,4.5)\).
linear equations have expoments other than one on variables
Answers
A linear equation has the form:
\(\begin{gathered} f(x_1,x_2,\ldots,x_n)=a_0+a_1x_1+a_2x_2+\cdots+a_nx_n \\ \text{where }a_0,a_1,a_2,\ldots,a_n\in\mathfrak{\Re } \end{gathered}\)So, the answer is false. The variables in linear equations could have only exponent 1, and could not multiply between them like x_1*x_2.
What are the 3 types of sum of squares?
Answers
Answer: the three main types of sum of squares are the total sum of squares, regression sum of squares, and residual sum of squares.
Answer:
Trapizoid
Rhombus
Regular
Step-by-step explanation:
∠A and \angle B∠B are vertical angles. If m\angle A=(3x+3)^{\circ}∠A=(3x+3) ∘ and m\angle B=(4x-8)^{\circ}∠B=(4x−8) ∘ , then find the value of x.
Answers
Answer:
The value of x is 11 degrees
Step-by-step explanation:
Here, given that two angles are vertical angles, we are interested in calculating the value of x. We simply want to use an important property of vertical angles to get the value of x as given in the question.
When we talk of vertical angles, they are angles which lies on opposite side to each other when we have two intersecting line.
By property, vertically opposite angles are equal.
Thus, in this case, we are to equate the angles we are having since they are both vertical angles;
Thus,
Mathematically;
angle A = angle B
3x + 3 = 4x -8
Collect like terms;
4x-3x = 3 + 8
x = 11 degrees
There are 18 boys in a party of these 8 played darts 4 jumped on a trampoline and 16 did both consider the statements given in the figure and the drag the correct answer
Answers
The probability and the classification of the events are given as follows:
P(A and B) = 8/9.Events A and B are not independent.How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
Out of 18 boys at the party, 16 did both the trampoline and the darts, hence the probability is given as follows:
P(A and B) = 16/18 = 8/9.
The multiplication of the probabilities is given as follows:
8/18 x 4/18 = 4/9 x 4/18 = 16/162.
The multiplication is different of the probability, hence the events are not independent.
Missing InformationThe problem is given by the image presented at the end of the answer.
More can be learned about probability at https://brainly.com/question/24756209
#SPJ1
Consider a street with 5 evenly spaced residential regions (regions 1−5 as shown in Chapter 8). Each region has 100 residents. Two food trucks decide where to locate sequentially. First, food truck A chooses a location. Food truck B observes the location choice of food truck A, then chooses where to locate. S
i
={1,2,3,4,5}, for i∈{A,B} Each resident goes to whichever stand is closer to buy food. Each food truck makes $1 in profit per customer. The trucks can locate in the same region. Half the customers go to each stand when the distance is the same. - Find the subgame perfect Nash equilibrium of this game. - Where will the two food trucks locate in equilibrium?
Answers
The subgame perfect Nash equilibrium of this game, food truck A will not have any customers and earn $0 in profit, while food truck B will locate in the region adjacent to food truck A's location choice to capture all 100 customers and earn a profit of $100.
To find the subgame perfect Nash equilibrium in this game, we need to analyze the strategic choices of each food truck and determine where they will locate in equilibrium.
First, let's consider the decision of food truck A. Since food truck B observes the location choice of food truck A before making its own decision, food truck A will take into account the potential response of food truck B.
If food truck A locates in region 1, it will capture all 100 customers in that region, resulting in a profit of $100. However, food truck B can strategically locate in a different region to capture all 100 customers there, resulting in a higher profit of $100 for food truck B and $0 for food truck A.
Similarly, if food truck A locates in region 2, food truck B can locate in region 1 to capture 100 customers, resulting in a profit of $100 for food truck B and $0 for food truck A. The same reasoning applies for food truck A locating in regions 3, 4, or 5.
Considering this strategic interplay, food truck A realizes that no matter where it locates, food truck B can always locate in the adjacent region to capture all 100 customers, resulting in a higher profit for food truck B. Thus, food truck A will not have any customers and earn $0 in profit regardless of its location.
Knowing this, food truck B will locate in the region adjacent to food truck A's location choice to capture all 100 customers in that region. For example, if food truck A locates in region 1, food truck B will locate in region 2 to capture all customers. The same reasoning applies for food truck A locating in regions 2, 3, 4, or 5.
Know more about the Nash equilibrium
https://brainly.com/question/7141724
#SPJ11
Which of the following expressions could be used to represent "the difference between -12 and 10"?
Answers
Answer:
-2
Step-by-step explanation:
I took the test :)
Answer:
-12-10
Step-by-step explanation:
difference means subtraction so it is saying subtract -12 and 10
Write the equation of the line that it is parallel to 2x=1-3y and passes through 9, 4.
Answers
Answer:
Step-by-step explanation:
1 - 3y = 2x
-3y = 2x - 1
y = -2/3x + 1/3
y - 4 = -2/3(x - 9)
y - 4 = -2/3x + 6
y = -2/3x + 10
I need help with this practice problem solving It asks to answer (a) and (b)But please put these ^ separately so I know which is which
Answers
Given series,
\(\sum ^{\infty}_{n\mathop=1}(\frac{2n!}{2^{2n}^{}})\)Thus the value of r is:
\(undefined\)two ladders, one that is 6 6 feet long and one that is 9 9 feet long, are leaning up against a building. both ladders are leaning so that the angle they make with the ground is the same. the shorter ladder touches the wall at a point that is 5 5 feet 9 9 inches above the ground. how much higher above the ground does the second ladder touch the wall above the shorter ladder?
Answers
The second ladder touches the wall approximately 11 feet higher than the shorter ladder, or equivalently, around 8 feet 8 inches higher.
Let's denote the height at which the second ladder touches the wall as h. We can set up a proportion based on the similar right triangles formed by the ladders and the building:
(6 6 feet) / (h) = (9 9 feet) / (5 5 feet 9 9 inches + h)
To solve for h, we can cross-multiply and solve the resulting equation:
(6 6 feet) * (5 5 feet 9 9 inches + h) = (9 9 feet) * (h)
Converting the measurements to inches:
(66 inches) * (66 inches + h) = (99 inches) * (h)
Expanding and rearranging the equation:
4356 + 66h = 99h
33h = 4356
Solving for h:
h = 4356 / 33 = 132 inches
Converting back to feet and inches:
h ≈ 11 feet
Therefore, the second ladder touches the wall approximately 11 feet higher than the shorter ladder, or equivalently, around 8 feet 8 inches higher.
Learn more about proportion here:
https://brainly.com/question/31548894
#SPJ11
Willie Crash was out Sunday flying in his spaceship. As he approached Mars, he changed his mind, and decided that he did not wish to visit that planet and fired his retro-rocket. The spaceship slowed down, and if all went well (or did it?), stopped for an instant then started pulling away. While the rocket motor was firing, Willie's distance, d, from the surface of Mars depended by a quadratic function on the number of minutes, t, since he started firing the retro-rocket. Willie finds that at time t= 1, 2, and 3 minutes, his distances were d= 425, 356, and 293 kilometers, respectfully.
what is the INDEPENDENT variable? (t or d)
what is the DEPENDENT variable? (t or d)
what does the INDEPENDENT variable represent? 1. the distance D from the surface of Mars OR 2.The number of minutes Titi since he started firing the retro-rocket
Answers
"t" is the independent variable representing the number of minutes since Willie started firing the retro-rocket, while "d" is the dependent variable representing the distance from the surface of Mars
The independent variable "t" represents the number of minutes since Willie started firing the retro-rocket. It is the variable that Willie has control over and chooses to manipulate. By changing the value of "t," Willie can observe how it affects the dependent variable "d," which is the distance from the surface of Mars. The independent variable is typically the input or the cause in a relationship or function.
On the other hand, the dependent variable "d" represents the distance from the surface of Mars. It depends on the value of "t" and is influenced by the independent variable. As Willie changes the number of minutes, the distance "d" changes accordingly. The dependent variable is usually the output or the effect in a relationship or function.
Learn more about independent variable here:
https://brainly.com/question/26134869
#SPJ11
i need help please can u please fill out AA aa Aa please i will give braneist
Answers
Hey!
Your answers are:
AA: Normal (Unaffected)Aa: Normal (Carrier)aa: Albino (Effected)Hope this helps!
~~~PicklePoppers~~~
Pls help, will mark brainliest!!
1. Phil is about to take a test that contains matching questions worth 10 points each and essay questions worth 25 points each. He must do at least 3 matching questions, but time restricts doing more than 12. Phil must do at least 4 essays, but time restricts doing more than 15. If no more than 20 questions can be answered, how many of each type should Phil do in order to maximize his score?
a. Define variables and write constraints for this problem.
b. Write an equation for what you want to maximize or minimize.
Answers
Answer:
hope you can understand
given 2 groups' weights, one with a standard deviation of 3.7 and one with a standard deviation of 4.5, which has the greater dispersion?
Answers
The group with a standard deviation of 4.5 has greater dispersion .
The standard deviation is a measure of the amount of variation or dispersion in a set of data. It is a measure of how far each data point is from the mean (average) of the set.
The standard deviation is calculated as the square root of the variance, which is the average of the squared differences between each data point and the mean. The. A larger standard deviation indicates a greater dispersion of the data.
In this case, the group with a standard deviation of 4.5 has greater dispersion than the group with a standard deviation of 3.7, so the group with a standard deviation of 4.5 has greater dispersion.
To learn more about Standard deviation :
https://brainly.com/question/23907081
#SPJ4
Marissa is choosing a four-digit PIN for her ATM card. The first digit must be a digit from 1 through 9. For the other three digits, she can choose any combination of digits 0 through 9, but may not repeat a digit. Which shows part of the sample space for Marissa's PIN?
Answers
Answer:
2345, 2034, 2134
Step-by-step explanation:
From the choices available the only options that would samples would be 2345, 2034, 2134. These three samples meet all of the requirements of the ATM cards pin system. Each of them starts with a 2 which is between 1 and 9. The last 3 digits of each of these samples are between 0 and 9 and are also not repeated from any of the other digits in the pin. All of the other options available either start with a 0 or have at least one repeating digit in its pin code.
he area of a square is 121 ft2. what is the length of a diagonal of the square? round to the nearest foot.
Answers
Solve for n. 10n = 6 Simplify your answer as much as possible.
Answers
How do you write 0.0045 in scientific notation?
Answers
Answer:
\(4.5 x 10^{-3} \\\)Step-by-step explanation:
Give simple working out
Answers
The angle x of the geometric system has a measure of 295°.
How to find the measure of an angle in a geometric system
In this problem we find the case of a geometric system formed by three angles, whose sum is equal to a complete revolution, that is, a complete measure of 360°. Then, the geometric system is represented by the following mathematical equation:
x + 20° + 45° = 360°
x + 65° = 360°
x = 295°
Thus, the measure of the angle x within the geometric system is equal to 295°.
To learn more on angles: https://brainly.com/question/16852240
#SPJ1
Whats 16 x 32 what does it equal
Answers
a recipe for cookies requires two-thirds of a cup of butter. rama wants to make 3/4 of the recipe. how many cups of of butter should she use to make cookies.
Answers
Answer:
\( \frac{1}{2} \: cups\)
Step-by-step explanation:
Butter required for one recipe of cookies
\(= \frac{2}{3} \) cup
Therefore,
Butter required for \( \frac{3}{4} \) recipe of cookies
\(= \frac{3}{4} \times \frac{2}{3}\\\\
= \frac{1}{2} \times \frac{1}{1}\\\\
= \frac{1}{2} \: cups\)
The base of a right pyramid is a square with sides of 10". The slant height is 13" long. Find the total surface area of the pyramid.
A. 100 square inches
B. 360 square inches. C.100 199 square inches
D.340 square inches
E. 260 square inches
Answers
Answer:B
Step-by-step explanation:
The following values represent the average snowfall (in inches) in January for a particular city over the last 15 years: 23, 19, 28, 31, 26, 21, 17, 34, 32, 23, 27, 28, 30, 22, 29. What is the interquartile range for the given data set? O a.) 17 b.) 3 O c.) 8 O d.) 6
Answers
The interquartile range is 8.
How to do the interquartile range?To find the interquartile range (IQR) for a data set, we first need to find the first and third quartiles. The first quartile (Q1) is the median of the lower half of the data set, and the third quartile (Q3) is the median of the upper half of the data set.
To find Q1 and Q3 for this data set, we need to order the values from least to greatest:
17, 19, 21, 22, 23, 23, 26, 27, 28, 28, 29, 30, 31, 32, 34
The median of the entire data set is the value that is exactly in the middle, which in this case is 26. The median of the lower half of the data set (Q1) is the value that is exactly in the middle of that half, which is the average of 21 and 23, or 22. The median of the upper half of the data set (Q3) is the value that is exactly in the middle of that half, which is the average of 30 and 31, or 30.5.
To find the interquartile range, we subtract Q1 from Q3:
IQR = Q3 - Q1 = 30.5 - 22 = 8.5
Therefore, the answer is (c) 8.
Learn more about interquartile range
brainly.com/question/29204101
#SPJ11
Let A be an n × n matrix. Write statements from the Invertible Matrix
Theorem that are each equivalent to the statement "A is invertible". Use
the following concepts, one in each statement:
(1). Nul A (2).|A| (3). basis (4). linearly independent (5). RREF
**TRUE OR FALSE**
1.) The set of columns of a 3 × 5 matrix is linearly dependent.
2.) A linear transformation T : Rn → Rm is completely determined by its effect on the columns of the n × n identity matrix.
3.) If each row of matrix A has a pivot, then the set of rows of matrix A is linearly dependent.
4.) Let T : Rn → Rm be a linear transformation, with A its standard matrix. T is one-to-one if and only if A has a pivot in each row.
5.) The set of columns of a 5 × 3 matrix is linearly dependent.
6.) If A is a 3 × 2 matrix, then the transformation x → Ax cannot be one-to-one.
Answers
According to the question 1.) False - 3 × 5 matrix columns can be linearly independent. 2.) True , 3.) True , 4.) True , 5.) True , 6.) True - 3 × 2 matrix transformation not one-to-one.
1.) True. If the set of columns of a 3 × 5 matrix is linearly dependent, it means that there exists a nontrivial linear combination of the columns that equals the zero vector.
2.) False. The effect of a linear transformation on the columns of the n × n identity matrix only determines the image of the standard basis vectors. It does not completely determine the entire transformation.
3.) False. If each row of matrix A has a pivot, it means that the rows of A are linearly independent, not linearly dependent.
4.) True. If A has a pivot in each row, it means that the rows of A are linearly independent, and the linear transformation T : Rn → Rm represented by A is one-to-one.
5.) True. Similar to statement 1, if the set of columns of a 5 × 3 matrix is linearly dependent, it means that there exists a nontrivial linear combination of the columns that equals the zero vector.
6.) True. If A is a 3 × 2 matrix, it means that the transformation x → Ax maps from R2 to R3. Since the dimensions of the domain and codomain are different, the transformation cannot be one-to-one.
To know more about nontrivial visit -
brainly.com/question/32541357
#SPJ11
aldo has scored 77, 88, 77, 87, and 63 on his previous five tests. what score does he need on his next test so that his average (mean) is 79?
Answers
To maintain an average of 79, Aldo must obtain a score of 82 in his upcoming exam.
To get the solution, let's calculate the total of the first five scores.
Total of the first five scores = 77 + 88 + 77 + 87 + 63 = 392
Now we know that there are a total of six scores, so to get the mean, we will divide the total by six.
Mean = Total/Number of ScoresTherefore, 79 = 392 + x/6
We need to find the value of x that will satisfy the above equation.
Now we will solve for x.79 = 392 + x/6
(Multiply both sides by 6) 6 * 79 = 6 * 392 + x6 * 79 = 2352 + xx = 6 * 79 - 392x = 474 - 392x = 82
Therefore, Aldo needs to score 82 on his next test to achieve an average of 79.
To know more about average, refer here:
https://brainly.com/question/15397049#
#SPJ11
What is the volume of the Cube?
132 cubic inches
726 cubic inches
1331 cubic inches
33 cubic inches
Answers
Answer:
1331 cubic inches
Step-by-step explanation:
volume = 11×11×11 = 1,331 in³
Does this set of ordered pairs form a function?
{(60, reading), (62, camping), (64, skiing), (65, hiking), (66, hiking), (67, camping), (69, reading), (70, reading), (71, camping), (73, swimming), (74, camping)}
A. yes
B. no
Answers
Considering that each input is related to only one output, the correct option regarding whether the relation is a function is:
A. yes.
When does a relation represent a function?A relation represents a function when each value of the input is mapped to only one value of the output.
For this problem, we have that:
The input is a number.The output is an activity.There are no repeated inputs, hence the relation is a function and option A is correct.
More can be learned about relations and functions at brainly.com/question/12463448
#SPJ1
una bicicletta che ha il raggio della ruota di 28 cm ha percorso 263 3,76 m calcola il numero di giri compiuti da ciascuna ruota
Answers
Answer:
Step-by-step explanation:
150 giri