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MrMuchimi
3 years ago
10

The average cost of a movie ticket is $7.50. If this price increases annually by 7 percent, how much would a movie ticket cost i

n 9 years?
Question 5 options:

A)

$13.79 per ticket

B)

$12.55 per ticket

C)

$10.99 per ticket

D)

$11.21 per ticket
Mathematics
1 answer:
Orlov [11]3 years ago
4 0

Answer:

A) $13.79 per ticket

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential increase function:  

A = P (1 + r) t  

Where:  

p = original price

r = increase rate (decimal form)  

t= years  

A = price after t years  

Replacing with the values given:  

A =7.50 (1+ [7/100]) ^9

A = $13.79 per ticket

Feel free to ask for more if needed or if you did not understand something.  

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Julia spent $60 on a book. the cost of the book was $16 less than twice what she spent on a backpack. how much did the backpack
MaRussiya [10]
60 = 2x - 16
2x= 16+ 60 = 76

76 / 2 = 38

Hope this helps!
Best of luck
5 0
3 years ago
A store brought a case of disposable cameras for $300. The store's profit p on the cameras is a function of the number c of came
rewona [7]

Answer:

Range: {-300, -210, 0, 72}

Step-by-step explanation:

Given:

Cost price of each camera = $300

The function for profit 'p' is given as:

p=6c-300

Where, 'p' is the profit and 'c' is the number of cameras sold.

The domain of the function is: {0, 15, 50, 62}

Now, range is the output of the above function for the given domain.

Here, 'c' is the independent variable and hence the domain.

So, plugging in the values of 'c' in the above function will give the set of values of range.

For c=0, the profit is given as:

p(0)=6(0)-300\\p(0)=-300

For c=15, the profit is given as:

p(15)=6(15)-300\\p(15)=90-300=-210

For c=50, the profit is given as:

p(50)=6(50)-300\\p(50)=300-300=0

For c=62, the profit is given as:

p(62)=6(62)-300\\p(62)=372-300=72

Therefore, the range of the given function is: {-300, -210, 0, 72}

The above range represents the profit of the store when 'c' number of cameras are sold. The domain represents the number of cameras that are sold by the store.

So, negative profit means the store has a loss on selling that number cameras.

The store suffers loss upto 50 cameras sold. When the number of cameras sold is 50, there is neither loss not profit. At this point, total cost price equals total selling price. This is also break even point.

After this point, the store will have a net profit. So, for 62 cameras sold, the net profit of the store is $72.

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3 years ago
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