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Snezhnost [94]
2 years ago
13

Carey High School had a banquet as a fundraiser for a new turf field. They sold 360 tickets for a total of $8,820. The expenses

for the banquet were $9,378. What were the results of banquet?
Mathematics
1 answer:
luda_lava [24]2 years ago
7 0
If the high school sold $8,820 worth of tickets, but had a cost of $9,378, they lost a total of $558
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A ferry operator takes tourists to an island.
Oksanka [162]

The fare of $(20 - 2.5) = $17.5 will maximize the total fare.

<h3>What is Differentiation?</h3>

Differentiation means the rate of change of one quantity with respect to another. The speed is calculated as the rate of change of distance with respect to time.

Here, The operator for a round-trip fare of $20, carries an average of 500 people per day.

It is estimated that 20 fewer people will take the trip, for each $1 increase in fare.

for $x  increase in fare, 20x less people will take the trip and at that time the total fare F is given by  

f(x) =(20 + x)(500 - 20x)

f (x) = 10000 + 100x - 20x²

For f(x) to be maximum, the condition is dy/dx = 0

 100 - 40x = 0

⇒ x = 2.5  

Thus, the fare of $(20 - 2.5) = $17.5 will maximize the total fare.

Learn more about Differentiation from:

brainly.com/question/24062595

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3 0
1 year ago
Find the vertex of y=-x^2+6x-12
Debora [2.8K]
You find the x coordinates using x = -b/2a  = -6/2(-1) = 3

Substitute 3 in the equation and find y

y = -(3^2) + 6(3) - 12 = -9 + 18 - 12 = -3

Vertex (3,-3)
8 0
3 years ago
If f(x) = g(x+1) and g(x) = x^2, find the value of f(3).
Elena-2011 [213]

\bf \begin{cases} f(x)=&g(x+1)\\ f(3)=&g(3+1)\\ &g(4)\\[-0.5em] \hrulefill& \hrulefill\\ g(x)=&x^2\\ g(4)=&4^2\\ &16 \end{cases}\qquad \qquad f(3)\implies g(4)\implies 16

8 0
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a pet store keeps 4 small fish in every 10 gallons of water how many gallons of water is needed for 36 fish
faltersainse [42]
90 gallons of water
7 0
3 years ago
Read 2 more answers
Help me please asap
abruzzese [7]

Answer:

So the right answer is none

Step-by-step explanation:

-6≤1+3x

3x≥-7

x≥-2,33

-2,33>-5>-6>-11

so none of those are bigger then -2,33 and x is bigger then -2,33

3 0
3 years ago
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