PLEASE HELP ITS DUE AT MIDNIGHT

The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

In the Social Exchange Theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.

The Social Exchange Theory states that people evaluate their relationships in economic terms, with rewards being the benefits of the relationship and costs being the negatives. Rewards can include affection, attention, emotional support, sex, and companionship. Costs can include time, effort, money, and negative emotions such as stress, anxiety, and sadness.

According to the theory, individuals will be motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

The opposite is also true; if individuals feel that the costs of the relationship are greater than the rewards, they will be motivated to leave the relationship.

Therefore, people are constantly evaluating their relationships to determine whether they are getting what they need from the relationship and whether it is worth continuing.

The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

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Answer:

15 gallons

Step-by-step explanation:

Answer:

The correct answer is C. X= 2

Let's call the total pay for Joe "P". We know that Joe makes a base pay of $200 a week, so we can write the first part of the expression as:

Describe expression using an example.

Term is defined as a constant, a single variable, or a mixture of variables and constants multiplied or divided. Algebra Expression Example: 3x + 9, 5x + 10…

P = 200

In addition to the base pay, Joe makes $3 for each magazine subscription he sells. We can use the variable "m" to represent the number of magazine subscriptions sold, so the second part of the expression can be written as:

P = 200 + 3m

Putting these two expressions together, we get the final expression that models the situation:

P = 200 + 3m

This expression says that Joe's total pay is equal to his base pay of $200 plus $3 for each magazine subscription he sells, where "m" represents the number of magazine subscriptions sold.

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The odds of the soccer player scoring a goal is 4. The correct option is (b).

The odds of an event happening can be calculated by dividing the number of successful outcomes by the number of unsuccessful outcomes.

In this case, the soccer player scored a goal 3 times out of 15 attempts.

The number of successful outcomes is 3 (goals scored), and the number of unsuccessful outcomes is 15 - 3 = 12 (failed attempts).

Therefore, the odds of the soccer player scoring a goal can be expressed as 3:12, which can be simplified to 1:4.

To match the given answer choices, we can rewrite the odds as a fraction by dividing both sides by the number of successful outcomes:

Odds = Successful outcomes : Unsuccessful outcomes

Odds = 3 : 12

Odds = 3/3 : 12/3

Odds = 1 : 4

So, the correct answer is option b. 4.

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a) The point O P(1,0) lies on the unit circle.

b) The point ° 0(23, -2) does not lie on the unit circle.

c) The information for point c) is missing.



a) The point O P(1,0) lies on the unit circle because its coordinates satisfy the equation x^2 + y^2 = 1. Plugging in the values, we have 1^2 + 0^2 = 1, which confirms that it lies on the unit circle.

b) The point ° 0(23, -2) does not lie on the unit circle because its coordinates do not satisfy the equation x^2 + y^2 = 1. Substituting the values, we get 23^2 + (-2)^2 = 529 + 4 = 533, which is not equal to 1. Therefore, this point does not lie on the unit circle.

c) Unfortunately, the information for point c) is missing. Without the coordinates or any further details, it is impossible to determine whether point c) lies on the unit circle or not.

In summary, point a) O P(1,0) lies on the unit circle, while point b) ° 0(23, -2) does not lie on the unit circle. The information for point c) is insufficient to determine its position on the unit circle.

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The correct option would be -4...4.

The expression (randgen.nextInt(9) - 4) uses a random number generator object named randgen to generate a random integer between 0 (inclusive) and 9 (exclusive) using the nextInt() method.

By subtracting 4 from this random integer, we determine the range of possible values for the expression.

Since the original random integer ranges from 0 to 8, subtracting 4 shifts the range to -4 to 4. This means that the possible values for (randgen.nextInt(9) - 4) can be any integer between -4 and 4, inclusive.

In other words, the expression can yield values such as -4, -3, -2, -1, 0, 1, 2, 3, and 4. These values cover a total of nine integers, including both positive and negative numbers.

Therefore, the correct option is -4...4, which represents the range of possible values for the expression (randgen.nextInt(9) - 4).

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The point where marginal cost equals $15 is at the production of the 7th pizza. Therefore, the firm should produce 7 pizzas.

The firm's shut-down price is the price at which the firm is indifferent between producing and shutting down.

Using the table provided, we can calculate the missing values:

Variable Cost:

For 0 pizzas, the variable cost is $0.

For 1 pizza, the variable cost is $10.

For 2 pizzas, the variable cost is $12.

For 3 pizzas, the variable cost is $2.

For 4 pizzas, the variable cost is $1.

For 5 pizzas, the variable cost is $2.

For 6 pizzas, the variable cost is $3.

For 7 pizzas, the variable cost is $13.

For 8 pizzas, the variable cost is $16.

For 9 pizzas, the variable cost is $3.

For 10 pizzas, the variable cost is $6.

For 11 pizzas, the variable cost is $4.

Total Cost: To calculate the total cost, we simply add the variable cost and the fixed cost for each level of output. The fixed cost is not given in the table, so we cannot calculate the total cost.

Average Variable Cost:

To calculate the average variable cost, we divide the variable cost by the level of output. For example, the average variable cost for 1 pizza is $10/1 = $10.

Average Fixed Cost:To calculate the average fixed cost, we divide the fixed cost by the level of output.

Average Total Cost: To calculate the average total cost, we add the average variable cost and the average fixed cost. The firm should produce pizzas up to the point where marginal cost equals marginal revenue.

This is the point where the firm maximizes its profit. From the table, we can see that the marginal cost is increasing as output increases, while the marginal revenue remains constant at $15.

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The global min and max of the function f(x, y) = 3y - 2x², on the region bounded is global maximum value is 1,

Given the function f(x, y) = 3y - 2x².

The region is bounded by the line y=x and the parabola y = x² + x - 1.

Therefore, the extreme values of the function f(x, y) = 3y - 2x² are either on the boundary of the region or at critical points inside the region. Let's start by finding the boundary points for this problem.

Boundary Points: We know that the region is bounded by y = x²+x-1 and y = x. Setting the two equations equal to each other to find their intersection points, we have:x² + x - 1 = x.

Rearranging the equation, we get:x² - 1 = 0. Solving for x, we have:x = ±1.Now, plugging these values into y = x, we get two boundary points, which are: (1, 1) and (-1, -1).

Let's evaluate f(x, y) = 3y - 2x² at these two points to find the maximum and minimum values:

At (1, 1):f(1, 1) = 3(1) - 2(1)² = 1.At (-1, -1):f(-1, -1) = 3(-1) - 2(-1)² = -1.

Therefore, the global maximum value is 1, which occurs at (1, 1), and the global minimum value is -1, which occurs at (-1, -1).

Hence, the global min and max of the function f(x, y) = 3y - 2x², on the region bounded by y = x²+x-1 and the line y=x is global maximum value is 1, which occurs at (1, 1), and the global minimum value is -1, which occurs at (-1, -1).

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Answer:

When a number is written using a whole number plus a portion of one, with the portion separated from the whole number by a dot, is called a mixed fraction.

Step-by-step explanation:

A fraction is a number that is obtained by dividing an integer into equal parts and is expressed as:

\(\frac{numerator}{denominator}\)

An improper fraction is a fraction in which the numerator, that is, the top number, is greater than or equal to the denominator, that is, the bottom number.  In contrast, in proper fractions, the numerator is less than the denominator.

Improper fractions can be represented as mixed fractions. A mixed fraction represents a whole number and a proper fraction, in other words, it corresponds to the sum of a whole part plus a fractional part.   In summary, mixed fractions are made up of an integer part and a fractional part.

So, when a number is written using a whole number plus a portion of one, with the portion separated from the whole number by a dot, is called a mixed fraction.

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

Explanation:

18 people get off, and 21 get on

We can write the 18 as -18 to indicate a loss of 18 people. The 21 as +21 to mean we gained 21 people.

The net change is -18+21 = +3 or simply 3.

After the first stop, 3 more people are on the train compared to before reaching this stop.

If x is the number of people before the stop, then x+3 is the number of people after the stop. Set this equal to 65 and solve for x.

x+3 = 65

x = 65-3

x = 62 people were on the train to begin with.

-----------

Check:

62 people to start off

62-18 = 44 people after the 18 people get off

44+21 = 65 people after the 21 new people get on

The answer is confirmed.

Answer: Parallel

Step-by-step explanation:

We can find their slopes to determine if the lines are parallel or perpendicular.

\(m_a=\frac{10-6}{2-9}=-\frac{4}{7}\\\\m_b=\frac{11-7}{2-9}=-\frac{4}{7}\)

Since the equations of the lines are not the same but the slopes of the lines are equal, they are parallel.

The specific solution that satisfies all the given conditions is:

u(x, t) = (3/π) sin(2x) \(e^{(-4\pi^2t)}\)

To find the function u(x, t) that satisfies the given heat equation partial differential equation (PDE), boundary conditions, and initial value condition, we can use the method of separation of variables.

Let's start by assuming that u(x, t) can be represented as a product of two functions: X(x) and T(t).

u(x, t) = X(x)T(t)

Substituting this into the heat equation PDE, we have:

X(x)T'(t) = kX''(x)T(t)

Dividing both sides by kX(x)T(t), we get:

T'(t) / T(t) = kX''(x) / X(x)

Since the left side only depends on t and the right side only depends on x, they must be equal to a constant value, which we'll denote as -λ².

T'(t) / T(t) = -λ²

X''(x) / X(x) = -λ²

Now we have two ordinary differential equations:

T'(t) + λ²T(t) = 0

X''(x) + λ²X(x) = 0

Solving the first equation for T(t), we find:

T(t) = C\(e^{(-\lambda^2t)}\)

Next, we solve the second equation for X(x). The boundary conditions u(0, t) = 0 and u(1, t) = 0 suggest that X(0) = 0 and X(1) = 0.

The general solution to X''(x) + λ²X(x) = 0 is:

X(x) = A sin(λx) + B cos(λx)

Applying the boundary conditions, we have:

X(0) = A sin(0) + B cos(0) = B = 0

X(1) = A sin(λ) = 0

To satisfy the condition X(1) = 0, we must have A sin(λ) = 0. Since we want a non-trivial solution, A cannot be zero. Therefore, sin(λ) = 0, which implies λ = nπ for n = 1, 2, 3, ...

The eigenfunctions \(X_n(x)\) corresponding to the eigenvalues \(\lambda_n = n\pi\) are:

\(X_n(x) = A_n sin(n\pi x)\)

Putting everything together, the general solution to the heat equation PDE with the given boundary conditions and initial value condition is:

u(x, t) = ∑\([A_n sin(n\pi x) e^{(-n^2\pi^2t)}]\)

To find the specific solution that satisfies the initial value condition u(x, 0) = 3 sin(2x), we can use the Fourier sine series expansion. Comparing this expansion to the general solution, we can determine the coefficients \(A_n\).

u(x, 0) = ∑[\(A_n\) sin(nπx)] = 3 sin(2x)

From the Fourier sine series, we can identify that \(A_2\) = 3/π. All other \(A_n\) coefficients are zero.

Therefore, the specific solution that satisfies all the given conditions is:

u(x, t) = (3/π) sin(2x) \(e^{(-4\pi^2t)\)

This function u(x, t) satisfies the heat equation PDE, the boundary conditions u(0, t) = 0, u(1, t) = 0, and the initial value condition u(x, 0) = 3 sin(2x) for 0 ≤ x ≤ 1.

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The number of the small seats is 30 while the number of the big seats is 94.

We know that from the question, Vicky is an airline attendant. Last week, she worked on flights on 3 small jets and 5 large jets, which could seat a total of 560 passengers. The week before, she was assigned to flights on 5 small jets and 2 large jets, which could seat a total of 338 passengers.

Now;

Let the number of small seats be x and the number of large seats be y

It follows that;

3x + 5y = 560 ----- (1)

5x + 2y = 338 ------(2)

If you multiply (1) by 5 and (2) by 3 we have;

15x + 25y = 2800 ------ (3)

15x + 6y = 1014 -----------(4)

        19 y = 1786

y = 1786/19

= 94

Substitute y = 94 into (1)

3x + 5(94) = 560

x = 560 -  5(94)/3

x = 30

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Answer:

y=-8

Step-by-step explanation:

2y+4=62y+124=6

2y-62y=124-4=6

-60y=120=6

divide both side by -60

y=120/-60=6

y=-2=6

y=-2-6

y=-8

Answer:

0.21ft/min

Step-by-step explanation:

   \(\sf Volume \ at \ given \ time = \dfrac{dV}{dt}= 20 \ cubic \ feet /min\)

             h = d

             h = 2r

             \(\sf r = \dfrac{h}{2}\)

            Volume of heap = (1/3) πr²h

                     \(\sf V =\dfrac{1}{3}\pi r^2h\\\\V =\dfrac{1}{3}\pi (\frac{h}{2})^2h\\\\V =\dfrac{1}{3}\pi \dfrac{h^2}{4}*h\\\\V=\dfrac{1}{12}\pi h^3\)

Take derivative w.r.t time,

                     \(\sf \dfrac{dV}{dt}=\dfrac{1}{12}\pi * 3h^2 \dfrac{dh}{dt}\)

                     h = 11 ft

                     \(\sf 20 = \dfrac{1}{12}\pi *3*11*11*\dfrac{dh}{dt}\\\\20=\dfrac{121}{4}\pi \dfrac{dh}{dt}\\\\\)

               \(\sf \dfrac{20*4}{121*\pi }=\dfrac{dh}{dt}\\\\ \dfrac{80}{120*3.14}=\dfrac{dh}{dt}\)

                        \(\sf \dfrac{dh}{dt}=0.21\)

             The height is increasing at the rate of 0.21 ft/min

Answer:

y = 2.5x + 22

Step-by-step explanation:

the two points are (4,32) and (8,42)

The slope would be

\(\frac{42 - 32}{8-4}\) = \(\frac{10}{4}\) = \(\frac{5}{2}\) = 2.5

This is the slope.  She saves $2.50 per week.

the y-intercept is how much money she started with

Use one point.  I will us (4,32) and the slope (2.5)

y = 32

m = 2.5

x = 4

y = mx + b

32 = 2.5(4) + b

32 = 10 + b   Subtract 10 from both sides

22 = b

This is the y-intercept.  This is how much money she had in the beginning.

y =mx + b

y = 2.5x + 22

Answer:

sO THE ANSWER TO THIS QUESTION IS 2

Step-by-step explanation:

The pH of the cleaning compound is found to be approximately 9.43.

The hydrogen ion concentration, [H+], in a certain cleaning compound is [H+] = 3.7 times 10⁻¹⁰

We will use the formula pH = - log [H+] to find the pH of the cleaning compound.

Acidic and basic compounds are measured on the pH scale, which ranges from 0 to 14.

A pH of 7 is considered neutral, a pH less than 7 is acidic, and a pH greater than 7 is basic.

The lower the pH, the more acidic the compound, and the higher the pH, the more basic the compound.

pH = - log [H+]

We can substitute the given hydrogen ion concentration value in the above formula to obtain the pH of the cleaning compound.

pH = - log 3.7 × 10⁻¹⁰

pH = - (- 9.43)

pH = 9.43

Therefore, the pH of the cleaning compound is approximately 9.43.

Note: 1. When finding the pH value using the formula, we should remember to put the hydrogen ion concentration in brackets "[ ]" and use the base 10 logarithm.

2. We need to keep the significant figures when reporting the final answer. Here, the pH value is given up to two decimal places, so we also need to round off our answer to two decimal places.

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Answer: 3/10

Step-by-step explanation:

Hat price 3/5

Shirt price 9/10

Difference in Discount 2/5 - 1/10 = 4/10 - 1/10

Answer:

1/2^4

Step-by-step explanation:

The population mean of the ba column is calculated using the equation μ = Σ(x) / N, while the population standard deviation is found using the equation σ = √[Σ((x-μ)^2) / N].

To find the population mean of the batting average (ba) column, we can use the following equation:

μ = Σ(x) / N

where:

- μ represents the population mean,

- Σ(x) denotes the sum of all values in the ba column, and

- N represents the total number of data points in the ba column.

The population mean of the ba column is μ = Σ(x) / N.

To calculate the population standard deviation of the batting average (ba) column, we can utilize the following equation:

σ = √[Σ((x-μ)^2) / N]

where:

- σ represents the population standard deviation,

- Σ((x-μ)^2) denotes the sum of the squared differences between each data point and the population mean (μ), and

- N represents the total number of data points in the ba column.

The population standard deviation of the ba column is σ = √[Σ((x-μ)^2) / N].

In summary, the population mean of the ba column is calculated using the equation μ = Σ(x) / N, while the population standard deviation is found using the equation σ = √[Σ((x-μ)^2) / N].

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To find the annual rate,

15. Depositing $5000 at 3% annual interest, compounded continuously, results in an effective annual rate of approximately 3.05%.

16. For a $1000 investment, Joe's Bank is better for both 1 year ($1020.20) and 30 years ($1822.12) compared to World Bank ($1040.60 and $2208.04).

From the provided data,

15. To find the effective annual rate when $5000 is deposited at 3% annual interest, compounded continuously, we can use the formula for continuous compounding:

A = P * e^(rt)

Where:

A = Final amount

P = Principal amount

r = Annual interest rate (in decimal form)

t = Time in years

e = Euler's number (approximately 2.71828)

In this case, P = $5000, r = 0.03, and t = 1. Plugging in these values:

A = 5000 * e^(0.03*1)

A ≈ 5000 * e^0.03

A ≈ 5000 * 1.030454

A ≈ $5152.27

To find the effective annual rate, let us find the interest amount,

Interest amount = Final amount - Principal amount = 5152.27 - 5000 = 152. 27

Effective interest rate = (152.27/5000) * 100 = 3.05%

Therefore, the effective annual rate when $5000 is deposited at 3% annual interest, compounded continuously, is approximately 3.05%.

16. To determine which investment account to choose, let's calculate the future value of $1000 invested for 1 year and 30 years in each account.

A = P * e^(rt)

A = 1000 * e^(0.02*1)

A ≈ 1000 * e^0.02

A ≈ 1000 * 1.020201

A ≈ $1020.20 (1 year)

A = 1000 * e^(0.02*30)

A ≈ 1000 * e^0.6

A ≈ 1000 * 1.822119

A ≈ $1822.12 (30 years)

A = P * (1 + r/n)^(nt)

A = 1000 * (1 + 0.04/4)^(4*1)

A ≈ 1000 * (1 + 0.01)^4

A ≈ 1000 * 1.040604

A ≈ $1040.60 (1 year)

A = 1000 * (1 + 0.04/4)^(4*30)

A ≈ 1000 * (1 + 0.01)^120

A ≈ 1000 * 3.300387

A ≈ $3300.387 (30 years)

Therefore, if you were to invest $1000 for 1 year, Joe's Bank would yield approximately $1020.20 while the World Bank would yield approximately $1040.60. Hence, the World Bank account would be the better choice.

However, if the investment is for 30 years, Joe's Bank would accumulate approximately $1822.12, whereas the World Bank would accumulate approximately $2208.04. In this case, the World Bank account would be the better choice as well.

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Answer:

x = 8.5

Step-by-step explanation:

In this question, we are to calculate the value of x.

To calculate this, we shall be utilizing one of the important properties of parallelogram.

This property is that opposite angles of a parallelogram are equal.

This means that mQSR = mSPQ = 4x + 90

Now to finally calculate x, we make use of another important parallelogram property which is that angles of parallelogram which faces each other are supplementary.

This means that they add up to be 180

Since mQSR faces mQRS

This means that;

4x + 90 + 9x -20 = 180

13x + 70 = 180

13x = 110

x = 110/13 which is approximately 8.5

Answer:

1. remain equal/ stay the same

2. You can eliminate one of the variable terms in a system of equations by adding or subtracting another equation.

Answer: 18

Step-by-step explanation:

Opposite angles of a rhombus are congruent, so

\(5 \times 25=7x-1\\\\125=7x-1\\\\126=7x\\\\x=18\)

Answer:

vertex is (6, -11)

Step-by-step explanation:

Given equation
f(x) = x² - 12x + 25

is that of an upward-facing parabola(since the coefficient of x² is positive).

The vertex will be at a minimum and its x-coordinate can be found by finding the first derivative of f(x), setting it equal to zero and solving for x

f'(x) = d/dx(x² - 12x + 25)

= 2x - 12

f'(x) = 0 ==> 2x - 12 = 0

2x = 12

x = 6

Substitute x = 6 in f(x) to get

f(6) = 6² - 12(6) + 25

= 36 - 72 + 25

= -11

So the vertex is at (6, -11)

We need to use the properties of Pyramid and Right Angled Triangle in this question. The distance from apex to each vertex is 10.9.

A three-dimensional figure is a pyramid. Its base is a flat polygon. The remaining faces are all triangles and are referred to as lateral faces. The number of sides on its base is equal to the number of lateral faces. The line segments that two faces intersect to form its edges. The intersection of three or more edges forms a vertex. All the faces, with the exception of the base, join at the apex, a vertex at the top. The base's shape is given by the apex, which is located in opposition to it. In the right pyramid, the apex is precisely over the center of the base. The center of the base will be where a perpendicular line from the apex to the base intersects.

So in the question they mentioned Altitude=10 and Base =6.

So using pythagorean theorem,

   x2=y2+(10)2-eq1

    with y half of the length of the diagonal of the base.

   2y=length of the diagnol

   and (2y)2 = 72

    ⇒4y2=72

   ∴y = 3√2.

So substitute y in eq1 and get x.

⇒ ( 3√2)2+(10)2=(x)2

⇒(x)2=118

∴x=10.86.

x≈10.9

We need to use the properties of Pyramid and Right Angled Triangle in this question. The distance from apex to each vertex is 10.9.

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The next term of the arithmetic sequence 39, 60, 81, 102, 123, . . . is given by the rule 18 + 21T, where T is any natural number.

An arithmetic sequence is the series where the difference between any two terms is given to be constant.

Here the given arithmetic sequence is,

39, 60, 81, 102, 123, . . .

First term = a = 39

Common Difference = d = 60 - 39 = 21

So, next term,

= 6 th term

= 5 th term + Common Difference

= 123 + 21

= 144

For, any term,

Tth Term = first term + (T-1)Common difference.

Tth Term = 39 + (T-1)21

Tth Term = 39 + 21T - 21

Tth Term = 18 + 21T

So, the rule is 18 + 21T.

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Answer: first answer is C second answer is 144

Step-by-step explanation:

edge 2023

Answer:

Amount in Blank total = $160

Amount of money Daniel’s agent made = $40

Amount of money Daniel and the agent made

from the show  = $160

Step-by-step explanation:

this question is based on the calculation of percentages

so,

it is is given in the question that -

Daniel is a singer, and he promises his agent that he will give him a 25% commission based on what he makes from a show.

After paying the agent, Daniel takes home =  $120

so,

let 'x' is the total amount of money that Daniel earned form the show

it is also given that Daniel promised to give 25 % to his agent from what he earned from the show

so, percentage of money left to the Daniel is

100-25 = 75%

therefore according to the question,

75percent of the x = $120

75/100×(x)   =  120

  3/4×(x)   =  120

     3x   =   120×4

     3x  =  480

       x  =  $160

so the total amount of money Daniel earned from the show is $160

Now we know that Daniel’s agent made 25% of the total amount of money earned from the show

therefore

25percent of 160 = Daniel’s agent made

     25/100 ×160  = Daniel’s agent made

             $40 =  Daniel’s agent made

so the amount of money earned by Daniel’s agent made is $40

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Answer: Daniel’s agent made

✔ $40

Daniel and the agent made a total of

✔ $160

from the show.

.

Step-by-step explanation: