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julsineya [31]
4 years ago
5

The initial cost for Travis and his band to record their first CD was $1500. Each CD will cost $4 to produce. If they sell their

CDs for $10 each, how many must they sell before they make profit?
Mathematics
2 answers:
a_sh-v [17]4 years ago
3 0
C=1500+4x where x is cds, C is cost
R=10x where R is revenue
then, P=R-C
P=10x-1500-4x
P=6x-1500
set P=0
1500=6x
x=250
check, C=1500+4*250, R=10*250
C=250, R=250
They need to sell 250 cds before they make profit
vagabundo [1.1K]4 years ago
3 0
Answer: 250 


I hope this helps and have a wonderful day!
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Hunter-Best [27]
5x+25 final answer is x=5
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3 years ago
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inessss [21]

Answer:

35 is the larger number.

26 is the smaller number.

Step-by-step explanation:

We don't know either number so let one of the numbers be x, the other one can be 9 less (so take away 9) x - 9

These two numbers add up to 61 ("sum" means adding)

x + x - 9 = 61

Combine the x's

2x - 9 = 61

Add 9 to both sides

2x = 70

Divide by two on both sides

x = 35

That's one of the numbers.

x - 9 = 35 - 9 = 26

So the numbers are 35 and 26.

35 is larger.

26 is smaller.

4 0
3 years ago
4. Kelly Waxman's annual salary is $30,000. She takes a married exemption.
S_A_V [24]

The annual state tax witheld from Kelly Waxman's annual salary of 30,000 if she takes a married exemption is $1662.50

  • Personal exemption (Married) = $3000
  • Annual salary = $30,000

  • Taxable income = Annual salary - Exemption
  • Taxable income = $30,000 - $3,000 = $27,000

State tax withheld :

  • First $3500 = 0.03 × 3500 = $105.00
  • Next $3500 = 0.045 × 3500 = $157.50
  • Over $7000 = 0.07 × (27000 - (3500+3500)) = 0.07 × 20,000 = $1400

  • Total state tax witheld = $(105 + 157.50 + 1400) = $1662.50

Therefore, Kelly Waxman's annual state tax withheld is $1662.50

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3 0
3 years ago
Find the surface area (in terms of π) of a sphere if its volume is 972 π.
Sholpan [36]

Surface area of sphere is Surface\,\,Area=324\pi

Step-by-step explanation:

We need to find the surface area of the sphere while we are given volume of sphere = 972π

The formula used to find surface area is:

Surface\,\,Area=4\pi r^2

We need to find radius of sphere

We are given Volume = 972π, using this volume we can find radius of sphere

The formula used to find volume is:

Volume=\frac{4}{3}\pi  r^3

Putting values and finding r

972\pi =\frac{4}{3}\pi  r^3

r^3=\frac{972\pi *3}{4\pi } \\r^3=729

Taking cube root on both sides

\sqrt[3]{r^3}=\sqrt[3]{729}\\ r=9

So, Radius of sphere r=9

Now finding surface area:

Surface\,\,Area=4\pi r^2

Surface\,\,Area=4\pi (9)^2

Surface\,\,Area=4\pi 81

Surface\,\,Area=324\pi

So, surface area of sphere is Surface\,\,Area=324\pi

Keywords: Surface area of sphere

Learn more about Surface area of sphere at:

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