A music company sells CDs for a particular artist. The company has advertising cost of $4,000 and recoding costs of $10,000; Their cost for manufacturing, royalties, and distribution are $5.50 per CD. They sell the CDs to Mage-Mart for $7.20 each

Answers

Answer 1

Answer:

First, let's write all the costs:

$4,000 in advertising.

$10,000 in the recording.

$5,50 per cd.

Then we have that the cost will be:

C(x) = $4,000 + $10,000 + $5.50*x

where x is the number of CDs distributed.

C(x) = $5.50*x + $14,000.

Now, they win $7.20 per cd, so the tota wins are:

W(x) = $7.20*x

The profit will be the difference between the total win and the cost:

p(x) = $7,20*x - $5.50*x - $14,000 = $1.7*x - $14,000

Now with this function, we can calculate the number of CDs that the company needs to sell in order to break even, that is when the profit is exactly zero.

P(x) = $0 = $1.7*x - $14,000

$1.7*x = $14,000

x = $14,000/$1.7 = 8,235.3 CDs, that we should round up to 8,236.

This means that the company must sell more than 8,236 if they want to have a positive profit.


Related Questions

suppose that Y varies directly with X andY equals 12 when X equals -2 what is X when Y equals -6

Answers

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

A direct variation equation has the following format:

[tex]y=kx[/tex]

Where k is a constant.

We know that y is 12 when x is -2. Thus, substitute:

[tex]12=-2k[/tex]

Divide both sides by -2:

[tex]k=-6[/tex]

So, our direct variation equations is:

[tex]y=-6x[/tex]

To find what x is when y equals -6, substitute in -6 for y:

[tex]-6=-6x[/tex]

Divide both sides by -6:

[tex]x=1[/tex]

So, our answer is 1 :)

simplify 4+3(7+4 x 2)-100
Solve this

Answers

4+3(7+4 x 2)-100
4+3(7+8)-100
4+3(15)-100
4+45-100=
-51

(7+4x2) = 15
4+3+15-100= -51

ANSWER IS -51

3 3/4 + 4 1/8 . I need it wrote down so i can copy it

Answers

Answer:

7 7/8

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

63/8

Decimal Form:

7.875

Mixed Number Form:

7 7/8

Mitchell works at the local movie theater. He currently has $395 in his
savings account and he plans to deposit $30 in his account every week.
Define the variable and write an algebraic expression to show how much
money Mitchell will have in his account after any number of weeks.

Answers

Answer: 395+30x

Step-by-step explanation:

Given : Mitchell has $395  now.

He saved $30 each week.

Let x be a variable that represents the number of weeks.

Since, Total amount = Current money + (Money save each week ) (Number of weeks)

Then,  Total amount =  (395 ) + (30)(x)

= 395+30x

Hence, the required algebraic expression= 395+30x

An algebraic expression is a mathematical expression consisting a variable (a,b,c,..) which can be manipulated .

let x = 4, Evaluate 3x+4x2-8​

Answers

Answer:

12

Step-by-step explanation:

Can u guys PLEASE answer this question ASAP. A fat cat that was initially 12 kg reduces its weight by 10% each month. How long does it take for the cat to be at least 6 kg lighter than its original weight? Give your answer as a whole number of months.

Answers

Answer:

It takes at least 7 months for the cat to be at least 6 kg lighter than the original weight.

Step-by-step explanation:

Use exponential decay formula:

A = P (1-r)t

A = amount decreased to

P = original amount

r = rate of decrease

t = time

 

6 ≥ 12 (1-0.10)t      divide both sides by 12

0.5 ≥ (0.9)t            take log of both sides

log (0.5) ≥ log (0.9)t     power rule of logs lets the exponent t drop to front of log to become a factor

log (0.5) ≥ t log(0.9)     divide both sides by log(0.9) which is negative so reverse the inequality sign

log (0.5) / log (0.9) ≤ t     use calculator

6.57 ≤ t

 

It takes at least 7 months for the cat to be at least 6 kg lighter that original weight.

 

check:

12 (0.9)7≈ 5.73

12 (0.9)6 ≈ 6.37

Mum bought a litre of orange juice. She filled 5 glasses and had 1/5 of a litre left. How much was in each glass?

Answers

1/5 of a litre is 0.2 litres
1 litre minus 0.2 litres is 0.8 litres so
0.8 divided by 5 (glasses) is 0.16 litres in each glass

PLEASE HELP!!! One step equation... solve by division b/7=5

Answers

Answer:

b = 35

Step-by-step explanation:

[tex]\frac{b}{7} =5\\Multiply\: through\: by\: 7\\\\7(\frac{b}{7} ) =5\times 7\\\\b = 35[/tex]

Answer:

multiply both side of the equation by 7.

7 x b/7 = 7 x 5

cancel common factor of 7

b = 7 x 5

b = 35

plz solve this question immediately​

Answers

squaring both sides
squaring both sides

cos2+sin2+2cossin=1
cos
2
A
+
sin
2
A
+
2
cos
A
sin
A
=
1

⟹1+2cossin=1⟹2cossin=0

1
+
2
cos
A
sin
A
=
1

2
cos
A
sin
A
=
0

⟹−2cossin=0⟹1−2cossin=1


2
cos
A
sin
A
=
0

1

2
cos
A
sin
A
=
1

⟹cos2+sin2−2cossin=1

cos
2
A
+
sin
2
A

2
cos
A
sin
A
=
1

⟹(cos−sin2)=1

(
cos
A

sin
A
2
)
=
1

⟹cos−sin=±1

Help asap plsssss:(((

Answers

Answer:

84

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Given

(- 6)(- 2x - 4y) , substitute x = 1, y = 3 into the expression

= (- 6)(- 2(1) - 4(3) )

= (- 6)(- 2 - 12)

= (- 6)(- 14)

= - 6 × - 14

= 84

30 POINTS!!!!!

Evaluate the expression for the given values...

Answers

Answer:

4.) -3x² - 5x + 7

- 3 * -2 * -3 * -2

+6 * +6 - 5 * -2

36 - (+10)

36 - 10 = 26

5.) 3x² - 7y²

3 * x  X  3 * x - 7 * y X 7 * y

3 * 2 X 3 * 2 - 7 * 3 X 7 * 3

6 * 6 - 21 * 21

36 - 441 = -405

6.) 4(x - 2y)

   ________

       x + y

   4 * x - 4 * 2 X y

  _____________

    x + y

  4 * 4 - 4 * 2 X -2

 16 - (+16)

 16 - 16 = 0

7. π + x√3y

  22/7 + -3√15

                3094

                _____

  22/7 + -11

                5000

      2380

= -8 ______

      5000

       

Step-by-step explanation:

Please mark me as brainliest

40 percent in to fraction decmal​

Answers

Answer:

0.4 hope this helps

Step-by-step explanation:

Answer:

Well 40 percent is 2/5 as a fraction and 2/5 as a decimal is 0.4

Step-by-step explanation:

Choose all of the expressions that are equal to −9. the opposite of nine −|9| |−9| −|−9| −(−9) the distance from zero to nine

Answers

Answer:

−|9| = -9

−|−9| = -9

Step-by-step explanation:

−|9| = -9

|−9| = 9

−|−9| = -9

−(−9) = 9

Name all rays ,point and line segment

Answers

Answer:

ratious and axuas

Step-by-step explanation:

Answer:

S & Q are points

R is a ray

SR & RQ are line segments

Step-by-step explanation:

Pam bought a stereo for $700 and made 36 payments of $26.32. How much
did she pay in interest?

Best answer gets brainliest

Answers

Answer:

$247.52

Step-by-step explanation:

36 x 26.32 = 947.52

947.52 - 700= 247.52

10² - (-10)² - (-10)²​

Answers

The answer is -100 (10*10)- (-10*-10) - (10*10)

Answer:

-100 (10*10)- (-10*-10) - (10*10)

Step-by-step explanation:

look at image. reflection across y= -1​

Answers

Answer:

 Y 2,1   X 0,1    W 0,4   Z 3,5  will be the new reflected points

Step-by-step explanation:

Pls helppppppppppp will mark brainliest

Answers

Answer:

Hence, the distance of a point P(x,y) from the origin is √(x)^2 + (y)^2.

please help me i rlly need it, thank you

Answers

• Answer:

x = 2

• Step-by-step explanation:

AB = AC/2 = 16/2 = 8

AB = 2x + 4

8 = 2x + 4

2x = 8 - 4

2x = 4

x = 4 : 2

x = 2

someone please help!

Answers

g (f(-3)) = -6 is your answer

If 5y + 2 = 8/3, what is the value of 5y - 6?

Answers

Answer:

5y - 6 = (-16)/3

Step-by-step explanation:

1. Step:

Solve for y:

5 y + 2 = 8/3

Subtract 2 from both sides:

5 y + (2 - 2) = 8/3 - 2

2 - 2 = 0:

5 y = 8/3 - 2

Put 8/3 - 2 over the common denominator 3. 8/3 - 2 = 8/3 + (3 (-2))/3:

5 y = 8/3 - (2×3)/3

3 (-2) = -6:

5 y = 8/3 + (-6)/3

8/3 - 6/3 = (8 - 6)/3:

5 y = (8 - 6)/3

8 - 6 = 2:

5 y = 2/3

Divide both sides by 5:

y = (2/5)/3

3×5 = 15:

Answer:  y = 2/15

2. Step.

Evaluate 5 y - 6 where y = 2/15:

5 y - 6 = 5×2/15 - 6

5×2/15 = (5×2)/15:

(5×2)/15 - 6

5/15 = 5/(5×3) = 1/3:

2/3 - 6

Put 2/3 - 6 over the common denominator 3. 2/3 - 6 = 2/3 + (3 (-6))/3:

2/3 - (6×3)/3

3 (-6) = -18:

2/3 + (-18)/3

2/3 - 18/3 = (2 - 18)/3:

(2 - 18)/3

2 - 18 = -(18 - 2):

(-(18 - 2))/3

| 1 | 8

- | | 2

| 1 | 6:

Answer:  (-16)/3

Simplify 3(5x + 9 - 4x)

Answers

15x+28-12x
3x+28
Hope this helps
Take the three and distribute it to every number in the parentheses, you should have 15x + 27 - 12x, now you want to bring the -12x on the other side to make things easier and now you should have -12x + 15x + 27, quickly add the -12x and the 15x to get 3x, now you should have 3x + 27, you can’t really manipulate this in any other way shape or form so this should be your simplification. I hope this was of use to you ^_^

Please help I will give out brainliest

Answers

Answer:

upper bound = 112.5

lower bound = 111.5

Step-by-step explanation:

x = 360 - 59 - 108 - 81

x = 112°

upper bound =  112.5 < 113

lower bound = 111.5 < 112

so

L.B.           U.B.

111.5 < 112 < 112.5

Answer:

upper bound = 112.5

lower bound = 111.5

Step-by-step explanation:

x = 360 - 59 - 108 - 81

x = 112°

upper bound =  112.5 < 113

lower bound = 111.5 < 112

so

L.B.           U.B.

111.5 < 112 < 112.5

Elisa swim laps in the pool. When she first started, she completed 10 laps in 25 minutes. Now she can finish 12 laps in 24 mins. By how many minutes has she improved her lap time?

Answers

Answer:

I think one minute

Step-by-step explanation:

she can now complete 2 laps in one minute

Aliyah wants to estimate the value of the quotient of 5.68 x 10- and 8.54 x 10 Which statement about the value is true?
The value will be greater than 1 because (-3)+(-9) is a positive number. A number in scientific notation with a
positive exponent has a value greater than 1.
The value will be greater than 1 because (-3)-(-9) - 6. A number in scientific notation with a positive exponent is
greater than 1.
The value will be less than 1 because 5.88 - 8.54 is less than 1. The negative exponents will make it even smaller.
The number will be less than 1 because 5.68 x 10- is a very small number and division always makes the size of a
number smaller.

Answers

Answer:

B-The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1.

Step-by-step explanation:

I hope I was helpful :)

is negative pi 17 a natural number

Answers

Answer:

No.

Step-by-step explanation:

π is a irrational number; therefore, π × 17 is also irrational number.

A seagull is floating on the surface of the ocean when it takes off and flies upward at a rate of 4 ft per second. After 19 seconds, how far away from the surface of the water will the seagull be?

Answers

Answer:

d = 76 m

Step-by-step explanation:

It is given that, the speed of 4 ft per second when it takes off and flies upward

We need to find how far away from the surface of the water will the seagull be after 9 seconds.

Speed is distance over time.

So,

Distance, d = vt

d=4 ft/s × 19 s

d=76 meters

So, the seagull will be at a distance of 76 m from the surface of water.

what is the answer to this equation -3-6x =9

Answers

Answer: la respuesta es -57

Step-by-step explanation:

Answer:

-57 and sorry if wrong

Step-by-step explanation:

Simplify the following numerical expression as much as possible: 53*25= ?

Answers

Answer:

1325

Step-by-step explanation:

53 * 25 =

   Break it apart to solve without a calculator

5 * 25 = 125 and we add a 0 because it's 50 * 25 so 1250

now multiply 3 * 25 = 75

Add them

1250 + 75 = 1325

You can't simplify further.

Answer:

1325

Step-by-step explanation:

53 * 25 = 1325

That's as simple as you can get

Solve -2.4x + 3.8x- x

Answers

Answer:

Step-by-step explanation:

1.4x - x = 0.4x

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