Melanie got a new employer pay job through the Jones recruitment agency the job pays $52,400 per year and the agency fee is equal to 25% of one years pay how much must Melanie‘s employer pay the agency

Answer:

she should charge $7.395 per ticket in order to make the most money.

Step-by-step explanation:

From the given information:

If Rosalie charges $5   then 1175 people will attend the circus performance

If Rosalie charges $7   then 935 people will attend the circus performance

Let x be the cost and y to be the number of people that will attend the performance . Then, we will have two points which are;

(5, 1175) and (7, 935)

The slope(m) of this points = \(\dfrac{\Delta y}{\Delta x}\)

= \(\dfrac{y_2-y_1}{x_2-x_1}\)

\(=\dfrac{935-1175}{7-5}\)

Slope (m) = \(\dfrac{-240}{2}\)

Slope (m) = -120

However; we can now have the linear equation:

\(y-y_1 = m(x-x_1)\)

\(y-1175= -120(x-5)\)

\(y-1175= -120x+600\)

\(y= -120x+600+1175\)

\(y= -120x+1775\)

The linear function is : y = -120x + 1775

Now; the total amount of money she can now earn is:

f(x) = xy

f(x) = x(-120x + 1775)

f(x) = -120x² + 1775x

The above expression is a quadratic equation; Using the quadratic formula; we have:

\(=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\)

where; a = -120 ; b = +1775 and c = 0

\(=\dfrac{-(1775) \pm \sqrt{(1775)^2-4(-120)(0)}}{2(-120)}\)

\(=\dfrac{-(1775) + \sqrt{(1775)^2-4(-120)(0)}}{2(-120)} \ \ \ \ \ OR \ \ \ \ \dfrac{-(1775) -\sqrt{(1775)^2-4(-120)(0)}}{2(-120)}\)

\(=\dfrac{-(1775) + \sqrt{(1775)^2}}{(-240)} \ \ \ \ \ OR \ \ \ \ \dfrac{-(1775) -\sqrt{(1775)^2}}{(-240)}\)

\(=\dfrac{-(1775) + (1775)}{(-240)} \ \ \ \ \ OR \ \ \ \ \dfrac{-(1775) - (1775)}{(-240)}\)

\(=\dfrac{0}{(-240)} \ \ \ \ \ OR \ \ \ \ \dfrac{-3550}{(-240)}\)

=     0        OR         14.79

Since; we are considering the value greater than zero

x = 14.79

maximum value of x = 14.79/2 = 7.395

Thus ; she should charge $7.395 per ticket in order to make the most money.

The solution of the function f(x) − g(x) is  x² + 8x + 8.

A function relates input and output values. In a simpler term, a function relates an independent variable and a dependent variable.  

Let's solve the functions as follows;

f(x) = (x + 2)²

g(x) = x² − (x + 2)²

Let's find  f(x) − g(x)

f(x) = (x + 2)²  = (x + 2)(x + 2) = x² + 2x + 2x + 4 = x² + 4x + 4

g(x) = x² − (x + 2)² = x² - ( x² + 4x + 4) = x² - x² - 4x - 4 = -4x - 4

Hence,

f(x) − g(x) =  x² + 4x + 4 - (-4x - 4)

f(x) − g(x) = x² + 4x + 4 + 4x + 4

f(x) − g(x) = x² + 8x + 8

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Answer:

-5,0,1,2,3

Step-by-step explanation:

in a number line the negative numbers are always on your left hand side and as you head to the right they increase thus becoming positive integers

Answer:

100 answer is correct

Step-by-step explanation:

2×10-3×-12+4×11

20+36+44

100 answer is correct

Step-by-step explanation:

2x-3y+4z

x=10

y=12

z=11

2(10)-3(-12)+4(11)

20+36+44

and the answer is 100

(made a lot of mistakes so edited answer!)

good day :)

The value of x from the given equation is -1

Given the equation expressed as:

\(3(x - 10) - 5x = 2x - 26\)

Expand using the distributive law as shown:

3x - 3(10) - 5x = 2x - 26

3x - 30 - 5x = 2x - 26

Collect the like terms to have:

3x - 5x - 2x = -26 + 30

-2x - 2x = -26 + 30

Simplify the result by addition and subtraction:

-4x = 4

Divide both sides by -4 (Division property of equality)

-4x/-4 = 4/-4

x = -1

Hence the value of x from the given equation is -1

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Answer:

Distributive property

Step-by-step explanation:

Not sure, but I think it is distributive property because you distributive -1/5 to -5x. Hope that helps, thank you !!

The table that represents exponential growth is the second table.

Exponential growth simply means a process that increases quantity over time. It occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself.

Exponential growth is the pattern of data which shows sharper increases over time. In finance, compounding creates exponential returns and the savings accounts with a compounding interest rate can show exponential growth.

In this case, the second table described represents an exponential function. It has a common ratio of 4, meaning that each y-value is multiplied by 4 to get to the next value. Here, every time the Xs increase by 1, the Ys increase by a multiple of 4.

One of the best examples of exponential growth is observed in bacteria. Here, it takes bacteria roughly an hour to reproduce through prokaryotic fission. This illustrates exponential growth.

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Answer: B

Step-by-step explanation:

Answer:

145

Step-by-step explanation:

9514 1404 393

Answer:

  $45

Step-by-step explanation:

The relation is ...

  resale price = cost + markup

  = cost + 0.54×cost

  = 1.54×cost

Then the resale price is ...

  resale price = 1.54×29.25 = 45.045 ≈ 45.00

The resale price is $45.00.

Answer:

D

Step-by-step explanation:

the x- intercept is the point where the line crosses the x- axis.

any point on the x- axis has a y- coordinate of zero.

let y = 0 in the equation and solve for x , that is

4x + 2 = 0 ( subtract 2 from both sides )

4x = - 2 ( divide both sides by 4 )

x = \(\frac{-2}{4}\) = - \(\frac{1}{2}\) ← x- intercept

coordinates of x- intercept = (- \(\frac{1}{2}\), 0 )

Answer:

Step-by-step explanation:

Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour?  

✔ y = 160/x

What does the number 160 represent in the rational function that models the situation?

✔distance, in miles, between the cities

amount of fuel, in gallons, used by the train

time, in minutes, needed to travel between the cities  

Answer: NOTE Pictures Are not in order! Make sure you check page number.

Step-by-step explanation:

On page 6 the answers are ”C” and ”5lbs”

On page 7 the answers are “C”, “$ 418”, “ The cat”, and then “ $960”.

On page 8 the answers are : < Just copy paste this below.>

“Based on the calculation, they should purchase the second television as the cost is cheaper.

Based on the information given in the question, the cost of the first television will be:

= $330 + ($14 × 8)

= $330 + $102

= $442

The cost of the second television will be:

= $369 + ($9 × 8)

= $369 + $72

= $441

Therefore, the second television is cheaper.”

                   ^    

<Just copy paste this. >           [Then check. “A,B,C,”.]

On page 9 the answer is “ D “.

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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Answer:

d = -6

Step-by-step explanation:

common difference, d = -7-(-1) = -6

The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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3x + 120° + x + 120° = 360°

4x + 240° = 360°

4x = 120°

x = 30°

y = 1/2 (3x - x)

y = 1/2 (90° - 30°)

y = 1/2 × 60°

y = 30°

Answer:

hope this helps!

Answer:

Toothpastepizza

Step-by-step explanation:

Answer:

Step-by-step explanation:

A bc its equal the snae answer

Answer:

Step-by-step explanation:

4/-2

The piecewise function graphed is defined as follows:

A piecewise function is a function that has multiple definitions, depending on the input x of the function.

The function in this problem has definitions for two intervals, given as follows:

For x < -5, the function is decreasing with a slope of -2, as when x increases by 1, y decays by 2, hence:

y = -2x + b.

When x = -6, y = 0, hence the intercept b is given as follows:

0 = -2(-6) + b

b = -12.

Hence:

y = -2x - 12, x < -5.

For x > 3, the function is decreasing with a slope of -1, as when x increases by 1, y decays by 1, hence:

y = -x + b.

When x = 5, y = 0, hence the intercept b is given as follows:

0 = -5 + b

b = 5.

Hence:

y = -x + 5, x > 3.

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Answer:

Y=-4x 2

Step-by-step explanation:

The elements using rooster-method:

A){3,4,5,6,7,8,9,10}

B){5,6,7,8,9,10,11,12,13,14}

What is rooster-method?

By listing the items of a set inside brackets, the roster method may be used to display the elements of a set. One of three ways to describe a set is in rooster form. The items of a set are listed in the roster form between curly or following brackets, with commas separating each element. When items repeat in the set, the roster approach actually has an issue. Because the elements do not follow a pattern or have a specific order, it is impossible to describe the elements in roster notation if the set has a significant number of elements or any repeated elements.

A)Set of natural odd numbers greater than 2 but less than 11:

Let us represent the set using symbol O:

O = {3,4,5,6,7,8,9,10}

B){x| x∈ N and 4<x<15}

Given that x is a natural number greater than 4 but less than 15.

X={5,6,7,8,9,10,11,12,13,14}

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Answer:

Step-by-step explanation:

Part of length of the third towel is the length of the second towel

Solution:

Given that You have towels of 3 sizes

Length of the first towel =  meter

The length of one of them is equal to 3/4m, which makes up 3/5 of the length of the second.

Length of the first towel =

The length of the third towel makes up 5/12 of the lengths of the first 2.

To find: What part of the length of the third towel is the length of the second towel ?

Ratio of second to third towel length =

Thus 3/2 part of length of the third towel is the length of the second towel

Answer:

If the total price of an object is A, and we have a tax of X%, then the new price of the object is:

Price = A + A*(X%/100%) = A*(1 + X%/100%)

In this case, the initial price of the car is:

A = $16,368

a) the tax is 6.6%

In this case, the price will be:

Price = $16.368*(1 + 6.6%/100%) = $17,448.288

b) the tax is 8.25%

In this case, the price will be:

Price = $16.368*(1 + 8.25%/100%) = $17,718.36

c) the tax is r.

we only replace X% by r.

Price = $16.368*(1 + r/100%)

d) We want to solve for r the above equation, we just need to isolate r.

Price/( $16.368) = (1 + r/100%)

Price/($16.368) - 1 = r/100%

(Price/($16.368) - 1)*100% = r

Answer:

You can tell from the picture

Step-by-step explanation:

they intercept

only the fifth grade data points are distributed fairly evenly

if you look at the 7th grade dot plot, it shows that the dots are clustered to the right and 5th grade are fairly even

Alternate interior angles:

In the given figure, ∠5 and ∠1 are alternate interior angles.

Similarly, ∠6 and ∠3 are also alternate interior angles.

Straight angles:

In the given figure, m∠1, m∠2, and m∠3 make a straight line angle equal to 180°.

Substitution:

As you can see, we have already established that ∠5 = ∠1 and ∠6 = ∠3

Let us substitute this into the above equation so it becomes

The equation to find the price P for N number of bookmarks, plus the price of the gift box, is:

P = (N/7) * 3.50 for N < 10

P = (N/10) * 4.70 for N >= 10

Explanation:

We are given two different prices for sets of bookmarks, one containing 7 bookmarks and the other containing 10 bookmarks. We want to find a general equation that will allow us to calculate the price P for any number of bookmarks N, along with the price of the gift box.

To do this, we can use the concept of proportionality. We know that the price of the gift box is the same for both sets of bookmarks, so we only need to consider the cost of the bookmarks themselves. We can set up a proportion between the number of bookmarks and the cost of the set:

7 bookmarks costs $3.50

10 bookmarks costs $4.70

We can simplify this proportion by dividing both sides by the number of bookmarks:

1 bookmark costs $0.50 (from 7 bookmarks for $3.50)

1 bookmark costs $0.47 (from 10 bookmarks for $4.70)

Now we have the cost per bookmark for each set. To find the total cost of N bookmarks, we can multiply the cost per bookmark by the number of bookmarks:

P = (N/7) * 3.50 for N < 10

P = (N/10) * 4.70 for N >= 10

We have to use a different equation depending on whether N is less than 10 or greater than or equal to 10, since we are dealing with two different sets of bookmarks. We also need to add the cost of the gift box to get the total price.