A company is considering two different prize policies for a sweepstakes. In Policy A, the cost to enter is $5. and the overall win rate is 10%. 90% of the winners receive a product worth $10. 9.5% of the winners receive a product worth $50, and 0.5% of the winners receive $250 in cash. In Policy B, the cost to enter is $10, and the overall win rate is 15%, 80% of the winners receive a product worth $10, 18% of the winners receive a product worth $50, and 2% of the winners receive $250 in cash.
The company predicts that Policy A will attract 10.000 entries, and Policy B will attract 5000 entries. Which policy makes the largest proſt for the company? By how much?
a. Policy A, by 1500
b. Policy A, by 4000
c. Policy B, by 1500
d. Policy B, by 4000

An explanation would be really awesome!​

Answers

Answer 1

The policy that makes the largest proſit for the company is Policy A, by $1500.

Which policy makes the largest proſIt?

Profit is the amount paid by people to enter the sweepstakes less the amount they can win.

Policy A's profit: $5 - 0.1[(0.9 x $10) + (0.095 x $50) + (0.005 x $250)] = $5 - 1.5 = $3.5

$3.5 X 10,000 = $35,000

Policy B's profit:10 - 0.15[(0.8 x 10) + (0.18 x 50) + (0.02 x 250) = 10 - 3.30 = 6.7

$6.7 X 5000 = $33500

Difference in profits = $35,000 - 33500 = $1500

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Related Questions



A bag contains 10 marbles: 2 are green, 3 are red, and 5 are blue. Reuben chooses a marble at random, and without putting it back, chooses another one at
random. What is the probability that the first marble is red and the second is blue? Write your answer as a fraction in simplest form.

Answers

Answer:

3/10 for the first and the second 5/9

Which expression is equivalent to square root 36/25

Answers

Answer:

6/5

Step-by-step explanation:

hope this helps

Using the data set below, find the mean absolute deviation (MAD).
Find the distance of each data value from the mean by subtracting the mean from the data value.
Step 2: Find the absolute values of all the distances. These are the "absolute deviations."
Step 3: Find the average of the absolute deviations.

Answers

I think you need to add a picture in order for anyone to solve it..

Which of these intersections of a plane and a three dimensional figure result in a triangular cross section

Answers

Answer:

top right one

Step-by-step explanation:

Top left one makes a square

bottom left one makes a circle

top right one makes a triangle

bottom right one makes a circle

The intersection of a plane and a three-dimensional figure results in a triangular cross-section is a triangular pyramid.

What is a cross-section?

A solid's cross-section is a plane figure formed when the solid intersects another plane. As a result, the cross-section of an object is an infinitesimal "slice" of a solid, and it can vary depending on how the slicing plane is oriented. A sphere's cross-section is always a disk, although a cube's cross-section can be square, hexagonal, or another shape.

In these types of three-dimensional geometrical problems imagination of the figures is very crucial.

Now, Think of the plane as a very very thin sheet cutting a triangular pyramid parallel to its base will have exactly the same cross-section as its base and we know a triangular pyramid has a triangular base.

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Randy has 24 stuff animals. 1/3 are brown. How many of the stuff animals are not brown?

Answers

Answer:

16

Step-by-step explanation:

If 1/3 are brown that means 8 animals are brown therefore 16 is how many are not brown

Find an equation of the line with the given slope that passes through the given point Write the equation in the form Ax + By = C
m= -8 (-6-4)
(Simplify your answer Use integers or fractions for any numbers in the equation )​

Answers

Answer:

[tex]8x + y = - 52[/tex]

Step-by-step explanation:

m= -8

p (-6,-4)

Formula for equation of a logbook passing through to points:

[tex]y - y1 = m(x - x1)[/tex]where y1= -4 and x1= -6[tex]y - ( - 4) = - 8(x - ( - 6)) \\ y + 4 = - 8(x + 6) \\ y + 4 = - 8x - 48 \\ 8x + y = - 52[/tex]

A flower vase is in the shape of a cylinder and has a diameter of 5 inches and a height
of 7 inches. which equation could be used to determine the volume, in cubic inches,
of the vase?

Answers

Answer:

V = π(2.5)²(7)

Step-by-step explanation:

Given:

A flower vase is in the shape of a cylinder and has a diameter of 5 inches and a height of 7 inches.

To Find:

which equation could be used to determine the volume, in cubic inches, of the vase?

Solve:

Formula for cylinder volume:  Volume = πr²h

Where,

h represents the height of the cylinder

r represents the radius of the cylinder.

π is a constant whose value is 3.14

Knowing that:

Diameter = 5 in

Height = 7 in

Radius = 2.5                    {Radius is half of diameter so 5/2 = 2.5}

Thus, a equation could be use is:

V = π(2.5)²(7)

Kavinsky

Miranda has 55 feet of fencing. She wants to use all the fencing to create a rectangular garden. The equation 2l+2w=55, where l is the length of the garden and w is the width, models the scenario. This equation can be used to find on dimension of the garden if the other dimension is known. If Miranda makes the garden 17.5 feet long, how wide should she make it? PLEASE HURRY

Answers

It should be ten feet wide

2(17.5) + 2(10) = 55

-5x + 2y = -29
5x - 2y = 24

Answers

Answer:

-10x + 4y = -53

Step-by-step explanation:

-5x+2y = -29

5x - 2y = 24

subtract both values from up to down

-5x - 5x = -10x

2y - (-2y) = 4y

-29 - 24 = -53

-10x + 4y = -53

Mabel measured an angle on her math worksheet with her protractor. The angle measured 163°. If she were to draw an angle which was supplementary to the angle on her worksheet, what should that new angle measure?

Answers

Two supplementary angles equal 180 degrees when added together.

180 - 163 = 17


the other angle would be 17 degrees

See your levels
A maple tree is 6 meters tall. Its shadow is 8 meters long. Close by, there is a streetlamp
that is 9 meters tall. How long is the streetlamp's shadow?
Write your answer as a whole number or a decimal. Do not round.
meters

Answers

Answer:

  12 meters

Step-by-step explanation:

The assumption regarding shadow lengths is that they are proportional to height at any given place and time.

__

Here, the streetlamp is 9/6 = 3/2 times as tall as the tree, so we expect its shadow to be 3/2 times the length of the tree's shadow.

  (3/2)(8 m) = 12 m

The streetlamp's shadow is 12 meters long.

What is the answer for number 10

Answers

Answer:

b

Step-by-step explanation:

b just honestly looks right and its my lucky letter so yaa...

State the x and y intercepts of 2x+5y=10

PLEASE

Answers

For the x intercept, first plug in y=0 and solve for x.
So 2x+5y=10, is the given equation and then it becomes 2x+5(0)=0, once you plug in y=0.
which leads to 2x+0=10 once you multiply 5 and 0.
So then simplify to get 2x=10
divide both sides by 2 to eliminate 2x so it's 2x/2=10/2.
Then solve for x for both sides so it will be x=5.
The x intercept will be (5,0).

For the y intercept first you plug x=0 and solve for x
So the equation is 2x+5y=10 but now becomes 2(0)+5y=10.
Next multiply the 2 and 0 which becomes 0+5y=10.
Simplify the equation so now it's 5y=10.
Next is to divide both sides by 5 to isolate the y so 5y/5=10/5
Finally y=2
so the y intercept would be (0,2).

STep right up for a brainliest challenge

Answers

Answer:

see below

Step-by-step explanation:

Kiara, as she was only over by 5.5, Wes, as he was less than by 22.7 lbs, and Natalie, as she was over only by 14.7 lbs

find the value of the missing variables. please help
x=
y=

Answers

Answer:

X= 11

Y= 22

Step-by-step explanation:

How to find Y ?

sin 60° = 11√3/ Y

√3/2 = 11√3/Y

Y= 22

How to find X ?

cos 60° = x/22

1/2 = x/22

2x = 22

x = 11

Can anyone please help me IM not sure if the first one is correct

Answers

Answer:

you are correct keep up the good work.

Answer:

The 1st one is correct and the second one is (5, -3)

Step-by-step explanation:

For the 1st question this is what I did:

d=√(x^2−x^1)^2+(y^2−y^1)^2

d=(0−4)^2+(6−3)^2

√d=(−4)^2+(3)^2

√d=16+9

√d=25

√d=5

For the second question I did this:

(xM,yM)=(x1+x2/2,y1+y2/2)

M=(xM,yM)

M=(x1+x2/2,y1+y2/2)

M=(3+7/2,−1+−5/2)

M=(10/2,−6/2)

M=(5,−3)

Hope this helps!

Pete entered a lucky draw. The probability of winning a free ticket for a soccer game is 15%. What are the ODDS AGAINST winning a free ticket to the soccer game?
3 to 17
17 to 3
3 to 20
17 to 20

Answers

Answer:

3 to 20

Step-by-step explanation:

Marcus is measuring the perimeter of his bedroom. The length of the room is 12 meters and the width of the room is 10 meters. What is the perimeter of the bedroom?

Answers

Formula for perimeter = 2L + 2W

L=12
W=10
(2x12) + (2x10)
= 24+20
=44

Answer is 44

How many yards are equivalent to 38 feet? 1 yard = 3 feet

Answers

Answer:

13 yards

Step-by-step explanation:

38/3 => 12.6667 yards which would be closest to 13 yards

The formula is to divide the lenght value by 3.

The number 38 feet is equal to 12.67 yards.

We have to give that,

To change 38 feet into yards.

Since we know that,

1 yard = 3 feet

1 feet = 1/3 yards

Hence, change 38 feet into yards as,

1 feet = 1/3 yards

38 feet = 38/3 yards

38 feet = 12.67 yards

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2. it is the appropriate diagram to show how much
greater or less one measurement of an observation
is from the other
A line
B. pie chart
C. bar graph

Answers

C) bar graph is correct answer

help me please please

Answers

Answer:

(x - 2)² + (y +8)² = 4

Step-by-step explanation:

Equation of circle:

     [tex]\sf\boxed{(x-h)^2+(x-k)^2=r^2}[/tex]

     Here, h , k are the co ordinates of the center and r is the radius

[tex]\sf (x - 2)^2 + (y-[-8])^2 = 2^2\\\\(x - 2)^2 + (y + 8)^2= 4[/tex]

Quick! What is a Two-Sided Variable Equation with the Answer of 16! (EX: of a Two-Sided Variable (7x = −x+24))

Answers

Answer:

2x + 4 = 20 + x

Step-by-step explanation:

X = 16

X+4 = 20

2x + 4 = 20 + x

the answer is 20x + 4 = 20 - x

A circle has a radius of 9 cm. What is its circumference?
Use 3.14 for n, and do not round your answer. Be sure to include the correct unit in your answer.
0
9 cm

Answers

Answer:

56.52 cm

Step-by-step explanation:

Concepts

The circumference of a circle is the distance around it, or the perimeter of the circle. The formula to find the circumference is 2πr, where r = radius.

Application

We're given the radius as 9 cm, and we have to find the circumference of the circle using π as 3.14. Let's use the formula 2πr to solve for this.

Solution

[tex](2)(3.14)(9)[/tex] [tex](6.28)(9)[/tex][tex]56.52[/tex]

What is the difference between averages of pizza sales from week 2 and week 1 at Cheezy Pizza?

1.5 pizzas
3.3 pizzas
2.3 pizzas
5 pizzas

Answers

Is there a table that I can look at that tells me what it is in 1 week and what it is in 2 weeks

f(x) = |x − 5| + 2 Which of the following statements about the y-values of the graph of the function is true?

Answers

The answer will be option B. The y-values are all greater than or equal to 2.

What is a function?

A function in mathematics set up a relatioship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

Here no matter what x is, y will always be positive, because the absolute value of x-5 will always be positive. The smallest value that y can be is when x is 5, because then the absolute value of x-5 is 0, and then y is 2.

Therefore, the correct answer will be option B. The y-values are all greater than or equal to 2.

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If X y = 2 then Y² + **​

Answers

Answer:

Answer is in the picture

( It would be absolutely kind of you to give me a "brainliest answer")

Goodluck

Write three value that makes 3 > x true How do you know?

Answers

Answer:

3>2

3>1

3>0

is that what u wanted?

if so, ur welcome :)

brainliest please?

Which pair of expressions has the same value?
A. (–2)(–7) and 4 + (–18)
B. (2)(7) and 4 + 18
C. (–2)(7) and 18 + (–4)
D. (2)(–7) and 4 – 18

Answers

Option A)

Assuming that (-2)(-7) and 4 + (-18) are equal.

⇒ (-2)(-7) = 4 + (-18)

Using the property [-x × -y = x × y = xy]:

⇒ (-2)(-7) = 4 + (-18) ⇒ (2)(7) = 4 + (-18)

Using the property [x + (-a) = x - a]:

⇒ (2)(7) = 4 + (-18)⇒ (2)(7) = 4 - 18⇒ 14 = -14    (False)Option B)

Assuming that (2)(7) and 4 + 18 are equal.

⇒ (2)(7) = 4 + 18⇒ 14 = 22   (False)

Option C)

Assuming that (–2)(7) and 18 + (–4) are equal.

⇒ (-2)(7) = 18 + (-4)

Using the property [-x × y = -xy]:

⇒ (-2)(7) = 18 + (-4)⇒ (-)(2)(7) = 18 + (-4)⇒ -14 = 18 + (-4)

Using the property [x + (-a) = x - a]:

⇒ -14 = 18 + (-4)⇒ -14 = 18 - 4⇒ -14 = 14   (False)

Option D)

Assuming that (2)(-7) and 4 - 18 are equal.

⇒ (2)(-7) = 4 - 18

Using the property [-x × y = -xy]:

⇒ (-)(2)(7) = 4 - 18⇒ -14 = 4 - 18⇒ -14 = -14   (True)

Therefore, Option D is correct.

hi I need help with this question

Answers

Answer:

x=49 exactly but a i forgot how to get range sry

Step-by-step explanation:

Based on a sample survey, a company claims tha 80% of their customers are satisfied with their products. out of 350 customers, how many would you predict to be satisfied?

Answers

Answer:

280 customers

Step-by-step explanation:

80% of 350 is 280

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