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mojhsa [17]
3 years ago
8

a museum opened at 8:00 am. in the first hour 350 people purchased admission tickets. in the 2nd hour 20% more people purchased

admission tickets than the first hour. each admission ticket cost 17.50 what was the total amount of money paid for all the tickets purchased purchased in the first 2 hours
Mathematics
1 answer:
Levart [38]3 years ago
5 0

Okay, so we already know that 350 people purchased tickets in hour 1:

17.50(350 + ?) = ?

The question states that in the 2nd hour, there was 20% more people. So basically, we solve for 120% of the people from the 1st hour:

17.50(350 + 1.2(350)) = ?

Multiply 1.2 by 350:

17.50(350 + 420) = ?

Add:

17.50(770) = ?

Multiply:

17.50(770) = 13475

$13,475 was the total amount of money.



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BartSMP [9]
Refer to the diagram shown below.

The volume of the container is 10 m³, therefore
x*2x*h = 10
2x²h = 10
h = 5/x²        (1)

The base area is 2x² m².
The cost is $10 per m², therefore the cost of the base is
(2x²)*($10) = 20x²

The area of the sides is
2hx + 2(2xh) = 6hx = 6x*(5/x²) = 30/x m²
The cost is $6 per m², therefore the cost of the sides is
(30/x)*($6) = 180/x

The total cost is
C = 20x² + 180/x

The minimum cost is determined by C' = 0.
That is,
40x - 180/x² = 0
x³ = 180/40 = 4.5
x = 1.651
The second derivative of C is
C'' = 40 + 360/x³
C''(1.651) = 120 >0, so x = 1.651 m yields the minimum cost.

The total cost is
C = 20(1.651)² + 180/1.651 = $163.54

Answer: $163.54

7 0
3 years ago
Hello ppl........help plz
olya-2409 [2.1K]

Answer:

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A cone has a diameter of 18 in. and a height of 14 in.
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Devin's bank charges $1.75 for nonbank ATM withdrawals and $0.30 for each debit card transaction. Last month, Devin paid $8.25 i
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8 0
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Hi

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