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slava [35]
3 years ago
7

the management of a hotel found that they will sell all 800 tickets at 4 dollars per per person for a hour concert for one night

only. For each 1 dollar increase in the gate fee,management expectes 100 fewer customers to buy tickets.How much should the management charge for gate fee so that it collects 3500 dollars from gate takings? hint. form equations and solve​
Mathematics
1 answer:
Lesechka [4]3 years ago
7 0

Answer:

Step-by-step explanation:

Let x represent the rate at which the ticket is sold and let y represent the number of tickets sold at that rate.

When x = 4, y = 800

This means that the income from gate takings at this rate is 4 × 800 = $3200

For each 1 dollar increase in the gate fee,management expects 100 fewer customers to buy tickets. It means that the amount earned would be (x + 1)(y - 100)

For the amount to be $3500, it means that

(x + 1)(800 - 100) = 3500

700(x + 1) = 3500

x + 1 = 3500/700 = 5

Therefore, management should charge $5 per person for gate fee so that it collects 3500 dollars from gate takings.

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A square with a side length of 5 inches has a area of 25 in<br><br> true or false
Goryan [66]

Answer:

TRUE

Step-by-step explanation:

5 x 5 = 25 in²

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3 years ago
Write an expression that represents the quantity 5 more than a number
Natali5045456 [20]
6+7 is that good i hope so
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3 years ago
Write the function for the graph
Kruka [31]

Answer:

Option A is correct.

The function for the given graph is;

f(x)=2\cdot 4^x

Step-by-step explanation:

An exponential function is in the form of y =ab^x ......[1] where a is the initial value and b≠ 0 , b >1 .

Given two points as shown in figure i.e,

let A = (0, 2) and B = (1,8)

Substitute these points in equation [1] we have;

For A = (0,2)

2 = ab^0 = a

⇒ a = 2

and

for B = (1, 8)

8 = ab^1

or

ab = 8

Substitute the value of a=2 in above equation to solve for b;

2b = 8

divide both sides by 2 we get;

b = 4

Then, the function for the graph is, y=f(x)=2\cdot 4^x


3 0
3 years ago
Read 2 more answers
The graph show rate that tom travels on hes bicycle with the line traveling through the point (5, 45)
Lina20 [59]

Answer: whats the question?

Step-by-step explanation:

3 0
3 years ago
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Please please please need help on 3 and 4 I’m really lost on them
Alex73 [517]

Answer:

1) Option c) is correct ie., 5 real and o non-real

2) Option b) is correct ie., (4, \frac{1}{2}, \frac{1}{2}, 2,2)

Step-by-step explanation:

Given polynomial function is f(x)=x^5-3x^3-2

To find zeros equate f(x) to zero ie.,  f(x)=0

x^5-3x^3-2=0

By synthetic division

     |   1     0    -3      0      -2

-1  |   0    -1      1      2      2

     |_________________

        1      -1      -2     2      0

Therefore x=-1 is a zero

x^3-x^2-2x+2=0

      |  1    -1     -2    2

1      |  0     1     0     2

      |___________________

          1     0   -2   0

x=1 is the zero

x^2 -2 =0

x=\pm\sqrt{2}

x=\sqrt{2} and

x=\sqrt{-2}

Option c) is correct ie., 5 real and o non-real

2) Given polynomial function is f(x)=(x-4)(2x-1)^2(x-2)^2

To find zeros equate f(x) to zero ie.,  f(x)=0

                                                            (x-4)(2x-1)^2(x-2)^2=0

(x-4)=0 (or) (2x-1)^2=0 or (x-2)^2=0

Therefore x=4, x=\frac{1}{2} of multiplicity of 2 and x=2 multiplicity of 2

Option b) is correct ie., (4, \frac{1}{2}, \frac{1}{2}, 2,2)

5 0
3 years ago
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