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iren [92.7K]
3 years ago
11

At the local ball park, the team charges $5 for each ticket and expects to make $1,400 in concessions. The team must pay its pla

yers $2,000 and play all other workers $1,600. Each fan gets a free bar that costs the team $3 per bag. How many tickets must be sold to break even
Mathematics
1 answer:
Eduardwww [97]3 years ago
6 0

Answer:

The number of tickets must be sold is 2500

Step-by-step explanation:

The charge for each ticket = $ 5

The concessions amount =  $ 1400

The amount paid to players = $ 2000

The amount paid to workers = $ 1600

The cost of each bag given to each fan = $ 3 per bag

Let The number of tickets sold = x

Now, number of ticket sold = number of fans = x

So, According to question

( charge per ticket × number of fans - cost of each bag × number of fan - concession amount ) =  amount paid to players + amount paid to workers

Or, $5 x - $3 x - $1400 = $2000 + $1600

Or, $2 x = $3600 + $1400

Or, $2 x = $5000

∴         x = \frac{5000}{2} = 2500

Hence  Answer

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In 2007, there were more than 8.14 million cars for sale. Over the next 3 years, the number of cars decreased by 23%. Write an e
Nina [5.8K]

Answer:

c = 8.14 million×(0.9166)^t

4.83 million  

Step-by-step explanation:

Data:

  t = y - 2007

c₀ = 8.14 million

c₃  = 23 % less than c₁

Part 1. Calculate c₃

c₃ = c₀(1 - 0.23) = 0.77c₀

Part 2. Calculate r

      c₃ = c₀r^t

0.77c₀ = c₀r³

   0.77 = r³              Divided each side by c₀

         r = 0.9166     Took the cube root of each side

The explicit decay model is c = 8.14 million×(0.9166)^t

Part 3. Prediction

t = 2013 - 2007 = 6

c = c₀r^t = 8.14 million×(0.9166)⁶ = 8.14 million × 0.5929 = 4.83 million

The model predicts that there will be 4.83 million cars for sale in 2013.

7 0
3 years ago
The angle of elevation from Madison to the top of the Statue of Liberty is 79 degrees. If Madison is standing 58.2 feet from its
lana66690 [7]
To solve this problem you must apply the proccedure shown below:

 1. You have the following information given in the problem:

 - <span>The angle of elevation from Madison to the top of the Statue of Liberty is 79 degrees.
 - Madison is standing 58.2 feet from its base.

 -Madison is 5 feet tall.

 2. Therefore, you have:

 Sin</span>α=opposite/hypotenuse
<span>
 Sin(79°)=x/58.2
 x=(58.2)(Sin(79°))
 x=57.13 ft

 3. Now, you can calculate the height of the Statue of Liberty, as below:

 height=x+5 ft
 height=57.13 ft+5 ft
 height=62.13 ft

 4. Therefore, as you can see, the answer is: 62.13 ft
</span>
4 0
3 years ago
Read 2 more answers
Thomas is 4 years older than his brother william. in five years the sum of their age will be 24. how old is each boy?
Rasek [7]
Let William be x years old.

Thomas = (4 + x) years

In five years,

William = (x + 5) years

Thomas = 4 + x + 5 = (9 + x) years

Given, in five years sum of their ages is 24.

x + 5 + 9 + x = 24

2x + 14 = 24

2x = 24 - 14 

2x = 10

x = \frac{10}{2}

x = 5

Hence, William is 5 years old and Thomas is 9 years old.
5 0
3 years ago
Give EG = 5x+7 EF =5x and FG=2x-7
Len [333]

Answer:

x = 7

42, 35, 7

Step-by-step explanation:

  • EG = 5x+7
  • EF = 5x  
  • FG = 2x-7

Point F is on line segment of EG, therefore EG = EF + FG

  • 5x + 7 = 5x + 2x - 7
  • 2x = 14
  • x = 7

Then

  • EG = 5*7 + 7 = 42
  • EF = 5*7 = 35
  • FG = 2*7 - 7 = 7
7 0
3 years ago
Someone help ASAP<br> serious answers only or i will report
nadezda [96]
T represents hours, so if c(1.5)=c(t) as it mentioned in the problem, then 1.5 equals hours, and c represents cost, so if cost + time equals nine then I think it's a
3 0
3 years ago
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