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Nataly_w [17]
3 years ago
15

A rock group with 5 musicians gets 25% of the gross sales of their new album, but they have to give their agent 15% of their sha

re. If the album grosses $20,000,000, what is each band member's share?
Mathematics
1 answer:
FromTheMoon [43]3 years ago
4 0

Answer:

$850,000.  

Step-by-step explanation:

Let us find 25% of $20,000,000.

20,000,000*\frac{25}{100} =20,000,000*0.25=5,000,000

Now we will find 85% of this amount as each member gives 15% of their share to their agent.  

5,000,000*\frac{85}{100} =5,000,000*0.85=4,250,000

Now we will divide this amount by 5 to find each band member's share.

\text{ Each band member's share}=\frac{4,250,000}{5} =850,000

Therefore, each band member will get $850,000.  

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Romashka [77]
Before you begin, familiarize yourself and keep in mind the order of operations- PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction). You must do all math problems using this.

17.  Add all the numerators since they are like-terms. 12/3 – then simplify it – 4.

18.  Do the inner most parenthesis first, add the numerators – 3/5. To multiply a fraction and a whole number, multiply the numerator and the whole number, and then simplify – 15/5, 3, then divide 15 by 3 –  and your answer is 5.

19. Parenthesis first – 10/6. Then multiply the numerator and the whole number and simplify – 120/6 – 20.

20. Parenthesis – 4.2 – multiply by 8 – 33.6.

21. Parenthesis – 4 – multiply by 3.6 – 14.4.

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4 0
3 years ago
In a volleyball game, a player on one team spikes the ball over the net when the ball is 10 feet above the court. The spike driv
Fynjy0 [20]

Answer:

4.75 seconds

Step-by-step explanation:

Initial height of the ball from the ground = 10 feet

Upward initial velocity given = 55 feet per second

Value of g ( acceleration due to gravity) = 32.2 feet per s²

Motion of the ball:

The ball first goes vertically upwards, gravity decelerates the body and it momentarily comes to rest at a point in its upward trajectory, which is the point of maximum height. From this point, to the ground, the ball behaves as a freely dropped body.

Till the ball reaches its maximum height:

u = + 55

v = 0 ( final velocity is zero)

a = - 32.2 (since it is deceleration)

we know that <em>v = u + at </em>

⇒    0 = 55 - 32.2t

⇒  t = 1.7 s

Also , we have <em>s = ut + (1/2)at²</em>

Here, s is the maximum height from the point where ball is thrown

So,     s = 55(1.7) - (0.5)(32.2)(1.7)(1.7)

⇒ s = 140 feet

So at a height of 140 feet + 10 feet (initial height) = 150 feet, the ball acts as a freely dropped body.

Here,      u = 0

               a = +32.2

               s= 150

<em>s = ut + (1/2)at²</em>

⇒  150 = 0.5 ( 32.2) (t²)

⇒  t² = 300/32.2 = 9.31

⇒ t = 3.05 sec

So total time = 1.7 + 3.05 = 4.75 seconds

8 0
4 years ago
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Answer:

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6 0
3 years ago
Read 2 more answers
Given the points A(0, 0), B(e, f), C(0, e) and D(f, 0), determine if line segments AB and CD are parallel, perpendicular or neit
sladkih [1.3K]
<h3>Answer: perpendicular</h3>

====================================================

Work Shown:

Use the slope formula to find the slope of line AB

m = (y2-y1)/(x2-x1)

m = (f-0)/(e-0)

m = f/e

Let p = f/e so we can compare the slope later

---------------

Use the slope formula to find the slope of line CD

m = (y2-y1)/(x2-x1)

m = (0-e)/(f-0)

m = -e/f

Let q = -e/f so we can compare the slope later

---------------

We have

  • p = f/e which is the slope of AB
  • q = -e/f which is the slope of CD

Multiply the values of p and q

p*q = (f/e)*(-e/f) = (f(-e))/(ef) = (-ef)/(ef) = -1

since p*q = -1, this means the lines AB and CD are perpendicular. They form a 90 degree angle.

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