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zepelin [54]
2 years ago
6

A university is trying to determine what price to charge for tickets to football games. At a price of $30 per ticket,

Mathematics
1 answer:
kykrilka [37]2 years ago
7 0

Answer:

The price should be 25 dollars, with this price 50000 people will attend the game.

Step-by-step explanation:

To solve this question we can build a table in which we compare the information taking into account the price of the ticket, the average number of people, the earnings for the sale of the tickets and the earnings of the sales in the concessions and with this determine the maximize revenue that corresponds to the best options for the university so as you can see in the attachment.

  • To calculate the average people we subtract 10000 per each decrease in $5.
  • To calculate the earnings per sales we have to multiply the cost of the ticket by the number of average people
  • To calculate the earnings per concessions we have to multiply the spends in the concessions by the average people
  • To calculate the total earnings we have to add the earnings per sales with the earnings per concessions.

As you can see, the total earnings for ticket price of $25 and $20 are the same ($150,000) if we increase or decrease the price of the tickets, the total earnings will decrease, then we have to choose the best option.

For maintaining the security and the infrastructure, it will be better to have less people, then the most convenient option will be that in which 50,000 people attend to the game, and for this, the price will be of $25.

Then, the price should be 25 dollars, with this price 50000 people will attend the game.

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3. Give the domain of y= √6-X using set builder notation.​
Molodets [167]

Answer:

{x | x ≤ 6}

Step-by-step explanation:

Given

y = √(6 - x)

Required

Determine the domain

We start by setting 6 - x to ≥ 0.

i.e.

6 - x ≥ 0

Add x to both sides

6 - x + x ≥ 0 + x

6 ≥ x

This can be rewritten as

x ≤ 6

Using set builder, the above van be represented as: {x | x ≤ 6}

8 0
2 years ago
For 7 years, Sheri deposits $3350 at the end of each year into an account that earns 19.7% per year compounded annually. Determi
Aleksandr [31]
\bf ~~~~~~~~~~~~\textit{Future Value of an ordinary annuity}\\
~~~~~~~~~~~~(\textit{payments at the end of the period})
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right] \\\\\\
~~~~~~
\begin{cases}
A=\textit{accumulated amount}\\
pymnt=\textit{periodic payments}\to &3350\\
r=rate\to 19.7\%\to \frac{19.7}{100}\to &0.197\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &7
\end{cases}

\bf A=3350\left[ \cfrac{\left( 1+\frac{0.197}{1} \right)^{1\cdot 7}-1}{\frac{0.197}{1}} \right]\implies A=3350\left[\cfrac{1.197^7-1}{0.197}  \right]
\\\\\\
A\approx 3350(12.7966673797946)\implies A\approx 42868.8357223119

now, for 7 years she has been depositing $3350, so the amount that she put out of her pocket is 7*3350.

and we know the compounded amount is A, so the interest is just their difference.

42868.8357223119 - (7 * 3350).
7 0
2 years ago
Ali simplifies the expression 9y+y to 9y2. why is she wrong?
Scorpion4ik [409]
<span>9y+y = y(9 + 1) = 10y
answer is 10y

if </span><span>9y^2 then it should be 9y times y = 9y^2

hope it helps</span>
7 0
2 years ago
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The cost to ride on a ferry is $5.00 per vehicle and driver with an additional cost of 50 cents per passenger. if the charge to
Dvinal [7]
5 + 0.50p = 6.50
0.50p = 6.50 - 5
0.50p = 1.50
p = 1.50/0.50
p = 3 <=== the vehicle had 3 people in the vehicle
6 0
2 years ago
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What are the solution(s) to the quadratic equation 50 – x2 = 0? x = ±2 x = ±6 x = ±5 no real solution btw i just clicked the las
bagirrra123 [75]
50-x^2=0
Move the x^2 to the other side
x^2=50
Now take the square root of both sides
x=+_(50)^1/2 (^1/2 means square root)(+_ is plus or minus. Sorry XD)
Now simplify the square root
X=+_5(2)^1/2
Voila. The answer is C
3 0
2 years ago
Read 2 more answers
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