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Dmitry_Shevchenko [17]

3 years ago

9

A class of 25 students went to a zoo.The total admission cost for the 25 students was $56.25.The admission cost was the same for

each student. What is the admission cost for 1 student

1 answer:

nikklg [1K]3 years ago

7 0

Answer:

2.25USD$ Per Student

Step-by-step explanation:

Please mark me brainliest :) I need it to rank up :)

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A restaurant operator in Accra has found out that during the lockdown,if she sells a plate of her food for Ghc 20 each,she can s

ella [17]

The demand equation illustrates the price of an item and how it relates to the demand of the item.

The slope of the demand function is -1/2
The equation of the demand function is: $R(x) = (300 - 10x) \times (20 + 5x)$
The price that maximizes her revenue is: Ghc 85

From the question, we have:

$Plates = 300$

$Price = 20$

The number of plates (x) decreases by 10, while the price (y) increases by 5. The table of value is:

$\begin{array}{cccccc}x & {300} & {290} & {280} & {270} & {260} \ \\ y & {20} & {25} & {30} & {35} & {40} \ \end{array}$

The slope (m) is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

So, we have:

$m = \frac{25-20}{290-300}$

$m = \frac{5}{-10}$

$m = -\frac{1}{2}$

The equation of the demand is as follows:

The initial number of plates (300) decreases by 10 is represented as: (300 - 10x).

Similarly, the initial price (20) increases by 5 is represented as: (20 + 5x).

So, the demand equation is:

$R(x) = (300 - 10x) \times (20 + 5x)$

Open the brackets to calculate the maximum revenue

$R(x) =6000 + 1500x - 200x - 50x^2$

$R(x) =6000 + 1300x - 50x^2$

Equate to 0

$6000 + 1300x - 50x^2 =0$

Differentiate with respect to x

$1300 - 100x =0$

Collect like terms

$100x =1300$

Divide by 100

$x =13$

So, the price at maximum revenue is:

$Price= 20 + 5x$

$Price= 20 + 5 * 13$

$Price= 85$

In conclusion:

The slope of the demand function is -1/2
The equation of the demand function is: $R(x) = (300 - 10x) \times (20 + 5x)$
The price that maximizes her revenue is: Ghc 85

Read more about demand equations at:

brainly.com/question/21586143

3 0

2 years ago

You are working on the phone in the office. A woman orders 6 tickets for £134.10. How much does each ticket cost?

yKpoI14uk [10]

<em>Answer:</em>

<em>22,35 £</em>

<em>Step-by-step explanation:</em>

<em>How much does each ticket cost ?</em>

<em>134,10 : 6 = 22,35 £</em>

<em />

<em>134,10 : 6 = 22,35</em>

<em>12</em>

<em>___</em>

<em>= 14</em>

<em> 12</em>

<em> ___</em>

<em> =21</em>

<em> 18</em>

<em> ___</em>

<em> = 30</em>

<em> 30</em>

<em> ___</em>

<em> = = </em>

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