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notsponge [240]
2 years ago
15

A venue plans to host trucking events regularly throughout the year. The expected revenue from each event is $100,000. The cost

for hosting this type of event is $50,000 per event. If the venue wants to make a total profit margin of $2,350,000, how many events does the venue have to host throughout the year?
Mathematics
1 answer:
iris [78.8K]2 years ago
6 0

Answer:

The venue has to host 47 events throughout the year

Step-by-step explanation:

Profit:

Profit is revenue subtracted by costs.

Per event:

$100,000 revenue

$50,000 costs

$100,000 - $50,000 = $50,000 profit.

If the venue wants to make a total profit margin of $2,350,000, how many events does the venue have to host throughout the year?

1 event - $50,000 profit.

x events - $2,350,000 profit.

50000x = 2350000

x = \frac{2350000}{50000}

x = 47

The venue has to host 47 events throughout the year

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What is a31 of the arithmetic sequence for which a5=12.4 and a9=22.4
miv72 [106K]
For the arithmetic sequence
a₁, a₂, a₃, ...,
the n-th term is
a_{n}=a_{1}+(n-1)d
where d =  the common difference

Because a₅ = 12.4,
a₁ + 4d = 12.4           (1)
Because a₉ = 22.4,
a₁ + 8d = 22.4          (2)

Subtract (1) from (2).
a₁ + 8d - (a₁ + 4d) = 22.4 - 12.4
4d = 10
d = 2.5
From (1),
a₁ = 12.4 - 4*2.5 = 2.4

Therefore
a₃₁ = 2.4 + 30*2.5 = 77.4

Answer:  a₃₁ = 77.4
6 0
2 years ago
LeAnn wants to giftwrap a present she got for her little brother. How many square inches of giftwrap will be needed to cover a b
Sloan [31]
For this case we must find the surface area of a rectangular prism.
 We have then:
 A = 2 * (w * l) + 2 * (w * h) + 2 * (l * h)

 Where,
 w: width
 l: long
 h: height
 Substituting values we have:
 A = 2 * (4 * 6) + 2 * (4 * 2) + 2 * (6 * 2)

A = 88 in ^ 2
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8 0
2 years ago
Your tutor asks you to record the time you spend using IT during the week. You have recorded this time below: Day Time Monday 0.
NikAS [45]

Let us convert all figures into decimals so that we can compare them easily.

Monday    0.3

Tuesday   15% = 0.15

Wednesday   1/6 = 0.1666

Thursday   0.2

Friday   1/8 = 0.125

Clearly, I spent the least amount of time on Friday using IT and the time is 0.125 or 1/8.


7 0
2 years ago
A store owner wants to give a pen to each customer who visits their store. The table shows the cost for the number of pens in a
Flura [38]

Answer:

$9 for 36

Step-by-step explanation:

Divide the price by the quantity to receive the unit price. Here are the unit prices for each option:

1. $0.54

2. $0.43

3. $0.31

4. $0.28

5. $0.25

Basically, you want the lowest price. So, $9 for 36 is the best value because it costs $0.25 per pen.

8 0
1 year ago
Nikki drew a rectangle with a perimeter of 18 units on a coordinate grid. Two of the vertices were (4, –3) and (–1, –3). What co
Talja [164]

Answer:

There are two possible solutions for the other two vertices of the rectangle:

(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)

Step-by-step explanation:

Geometrically speaking, the perimeter of a rectangle (p) is:

p = 2\cdot b + 2\cdot h (1)

Where:

b - Base of the rectangle.

h - Height of the rectangle.

Let suppose that the base of the rectangle is the line segment between (4, -3) and (-1, -3). The length of the base is calculated by Pythagorean Theorem:

b = \sqrt{[(-1)-4]^{2}+[(-3)-(-3)]^{2}}

b = 5

If we know that p = 18 and b = 5, then the height of the rectangle is:

2\cdot h = p-2\cdot b

h = \frac{p-2\cdot b}{2}

h = \frac{p}{2}-b

h = 4

There are two possible solutions for the other two vertices of the rectangle:

(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)

8 0
1 year ago
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