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Vadim26 [7]
2 years ago
8

Sid's Skins makes a variety of covers for electronic organizers and portable music players. The company's designers have discove

red a market for a new clear plastic covering with college logos for a popular music player. Market research indicates that a cover like this would sell well in the market priced at $22.50. Sid's desires an operating profit of 25 percent of costs.What is the highest acceptable manufacturing cost for which Sid’s would be willing to produce the cover?What is the company’s profit for each cover using the highest acceptable manufacturing cost? (Remember: Profit = Selling Price – Cost) Show your mathematical calculations.
Mathematics
1 answer:
olganol [36]2 years ago
6 0

Answer:

4.50$

Step-by-step explanation:

Given that Sid's Skins makes a variety of covers for electronic organizers and portable music players

Market price indicated by research = 22.50 $

Let cost of Sid = 100

Oper profit      =25

So selling price = 125

Hence costs highest for Sid would be

\frac{100}{125} (22.50)\\= 18

Highest manufacturing cost = 18 dollars

Profit per unit = 22.50-18 =4.50$

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Vineet can conclude that:
B ) the system of equations does not have a solution.
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2 years ago
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2-8<br> Examine the function h(x) defined at right. Then estimate the values Below.
Arada [10]

We are given graph of the function.

Let us do given parts one by one.

a) h(1).

Here, we need to find the value of function (y-coordinate) for x=1.

From the given graph, we can see the for x=1 value of y is 2.

Therefore, h(1)=2.

b) h(3).

Here, we need to find the value of function (y-coordinate) for x=3.

From the given graph, we can see the for x=3 value of y is -4.

Therefore, h(3)=-4.

c) x when h(x) =0.

Here, we need to find the value of x-coordinate for y=0.

From the given graph, we can see the for y=0 value of x is also 0.

Therefore, x=0 when h(x)=0.

d) h(-1).

Here, we need to find the value of function (y-coordinate) for x=-1.

From the given graph, we can see the for x=-1 value of y is -2.

Therefore, h(-1)=-2.  

e) h(-4).

Here, we need to find the value of function (y-coordinate) for x=-4.

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5 0
2 years ago
Question 1(Multiple Choice Worth 2 points)
earnstyle [38]
These are 3 questions and 3 answers.

1) Find


\lim_{x \to \ 2^+} f(x)

Answer: 4.

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The expression means the limit as the function f(x) approaches 2 from the right.

Then, you have to use the function (the line) that comes from the right of 2 and gets as close as you want to x = 2.

That is the line that has the open circle around y = 4, and that is the limit searched.

2) Use the graph to determine the limit if it exists.

Answer:

\lim_{x \to \ 2^-} f(x) = 3

\lim_{x \to \ 2^+} f(x)=-3

To determine each limit you use the function from the side the value of x is being approached.

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3) 
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\lim_{x \to \ 3^-} f(x) = -1

To find the limit when the function is approached to 3 from the left you follow the line that ends with the open circle at (3, -1).

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5 0
2 years ago
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15 Points!
goblinko [34]

Answer:

coordinate of point A is (a,b)

coordinate of point C is (2c,d)

slope of AD and BC =\frac{b}{a-c}

Step-by-step explanation:

According to midpoint formula

If we have points P (x_{1} ,y_{1} ) and Q (x_{2} ,y_{2} )

then the coordinate (x,y) of mid point of line PQ is given by

x=\frac{x_{1} +x_{2} }{2} and y=\frac{y_{1} +y_{2} }{2}

now from the given diagram A is the mid point of line joining  R(0,0) and S(2a,2b)

Using midpoint formula, coordinates of point A is given by

x=\frac{0+2a}{2}= a and y=\frac{0+2b}{2} =b

so we have

coordinate of point A is (a,b)

Also C is the midpoint of line joining T (2c,2d) and V(2c,0)

coordinate of point C is given by

x= \frac{2c+2c}{2} =2c and y=\frac{2d+0}{2} =d

so we have

coordinate of point C is (2c,d)

it is given that coordinate of point B is (a+c, b+d) and coordinate of D is (c,0)

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then the slope of PQ =\frac{y_{2} -y_{1} }{x_{2}-x_{1}  }

hence slope of AD= \frac{0-b }{c-a}

                                 =\frac{-b}{c-a}

                                  =\frac{-b}{-(a-c)}

                                  =\frac{b}{a-c}

and slope of BC  =\frac{d-(b+d)}{2c-(a+c)}

                            =\frac{d-b-d}{2c-a-c}

                             =\frac{-b}{c-a}

                              =\frac{b}{a-c}

so we have

slope of AD and BC =\frac{b}{a-c}

7 0
2 years ago
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Lucia knows the fourth term in a sequence is 55 and the ninth term in the same sequence is 90. Explain how she can find the comm
Andreyy89
Using the formula for the nth term of an arithmetic progression.
an = a + (n - 1)d
a(4) = a + 3d = 55
a(9) = a + 8d = 90
a(9) - a(4) => 5d = 35
d = 35/5 = 7.
From a(4): a = 55 - 3d = 55 - 3(7) = 55 - 21 = 34

a(2) = a + d = 34 + 7 = 41.

4 0
2 years ago
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