Find S? Please help, thank you :)

Due to a rise in popularity, Penny's firm begins to make hair bows rather than flower barrettes. She can make hair bows at a rat

Basile [38]

The number of bows that Penny makes per hour and the price the firm sells at shows that the value of the marginal product is $24.95 per hour.

The highest wage the firm will pay is $24.95 per hour.

<h3>What is the value of Penny's marginal product?</h3>

This can be found by the formula:

= Price x Marginal product of Penny

= 4.99 x 5

= $24.95 per hour

The highest wage the firm can pay would be the wage amount that equals their marginal revenue as this is the only way they can maximize profit.

Their marginal revenue in this case is the $24.95 per hour that they pay to Penny so this will be their highest wage to her as well.

Find out more on profit maximization at brainly.com/question/13749309.

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5 0

2 years ago

Three vertices of parallelogram WXYZ are X(–2,–3), Y(0, 5), and Z(7, 7). Find the coordinates of vertex W

Serhud [2]

The coordinates of the vertex W are (5 , -1)

Step-by-step explanation:

In the parallelogram, the diagonal bisect each other

To find a missing vertex in a parallelogram do that:

Find the mid-point of a diagonal whose endpoints are given
Use this mid-point to find the missing vertex
The mid point rule is $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

∵ WXYZ is a parallelogram

∴ Its diagonals are WY and XZ

∵ The diagonal bisect each other

- That mean they have the same mid-point

∴ They intersect each other at their mid-point

∵ x = (-2 , -3) and z = (7 , 7)

∴ $x_{1}$ = -2 and $x_{2}$ = 7

∴ $y_{1}$ = -3 and $y_{2}$ = 7

- Substitute them in the rule of the mid point to find the

mid-point of XZ

∴ $M_{XZ}=(\frac{-2+7}{2},\frac{-3+7}{2})=(2.5 , 2)$

∴ The mid-point of diagonals WY and XZ is (2.5 , 2)

Let us use it to find the coordinates of vertex W

∵ W = (x , y) and Y = (0 , 5)

∴ $x_{1}$ = x and $x_{2}$ = 0

∴ $y_{1}$ = y and $y_{2}$ = 5

- Equate 2.5 by the rule of the x-coordinate of the mid-point

∵ $2.5=\frac{x+0}{2}$

- Multiply both sides by 2

∴ 5 = x + 0

∴ 5 = x

∴ The x-coordinate of point W is 5

- Equate 2 by the rule of the y-coordinate of the mid-point

∵ $2=\frac{y+5}{2}$

- Multiply both sides by 2

∴ 4 = y + 5

- Subtract 5 from both sides

∴ -1 = y

∴ The y-coordinate of point W is -1

The coordinates of the vertex W are (5 , -1)

Learn more:

You can learn more about the mid-point in brainly.com/question/10480770

#LearnwithBrainly

4 0

3 years ago

The 12th term of the arithmetic sequence is 10.5. The 18th term of this sequence is 13.5. Find the common difference and the fir

xxMikexx [17]

Answer:

common difference is 0.5

first term is 5

Step-by-step explanation:

use the formula for the nth term of an ap Tn=a+(n-1)d

T12=10.5

T18=13.5

therefore come up with two equations

T12=a+(12-1)d

10.5=a+11d(1st equation)

T18=a+(18-1)d

13.5=a+17d(2nd equation)

then solve both as a simultaneous equation

a+11d=10.5

a+17d=13.5

-6d/-6=-3/-6

d=0.5

use one of the equations to find the first term

a+11(0.5)=10.5

a+5.5=10.5

a=10.5-5.5

a=5

I hope this helps

please mark as brainliest

7 0

3 years ago

The value of a in the equation ax + y = 5 , if x = 2 and y = 3 is a) – 1 b) 0 c) 1

sasho [114]

Answer:

c) 1

Step-by-step explanation:

=> ax+y = 5

Putting x =2, y =3

=> a(2)+3 = 5

=> 2a = 5-3

=> 2a = 2

Dividing both sides by 2

=> a = 1

3 0

3 years ago

Read 2 more answers

2. Sequoia trees can grow to more than 90 m in

sashaice [31]

Answer: F

Step-by-step explanation: 90/3.28 equals 27.4390244

5 0

3 years ago