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cupoosta [38]
3 years ago
12

A retailer incurs a fixed cost of N$ 500 when purchasing sugar for his stock. He pays N$ 10.00 per packet which he resells at N$

15.00 per packet. How many packets should he purchase and sell in order to break even?
Mathematics
1 answer:
Arada [10]3 years ago
8 0

Answer:

100 packets

Step-by-step explanation:

Given :

Cost = fixed cost + variable cost

Fixed cost = $500

Variable cost = $10

Sales price = $15

Let :

Number of packets = x

To break even :

fixed cost + variable cost = sales made

500 + 10x = 15x

500 = 15x - 10x

500 = 5x

x = 500 / 5

x = 100

100 packets

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They can travel 110 miles for 5 gallons of gas.

22 • 5 = 110 miles on 5 gallons of gas

6 0
3 years ago
A 44 ft ladder leans against a building so that the top of the ladder touches the building at a point 27 ft above the ground. To
Veseljchak [2.6K]
Answer is option 4. working out attached

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4 0
3 years ago
9 friends are lining up. Joe, Susan, John, and Meredith must be beside each other. How many ways can they line up?
ZanzabumX [31]
<h3>Answer:  17,280</h3>

This is one single number slightly over 17 thousand.

You may need to erase the comma when typing the answer in.

=========================================================

Explanation:

Let's say that another person steps in for Joe, Susan, John, and Meredith. I'll refer to this person as the teacher (perhaps these 9 friends are students on a field trip).

The 9 friends drops to 9-4 = 5 people when those four named people leave the group temporarily. Then it bumps up to 5+1 = 6 people when the teacher steps in. Wherever the teacher is located, the four friends that left will replace the teacher. This guarantees that those four friends stick together.

There are 6! = 6*5*4*3*2*1 = 720 ways to arrange those 6 people. The exclamation mark is a factorial symbol.

Within any of those 720 permutations, we have 4! = 4*3*2*1 = 24 ways to arrange those group of named people when they come back to replace the teacher.

So overall the answer is 4!*6! = 24*720 = 17,280

You may need to erase the comma when typing the answer in.

-------------

Side note: There are 9! = 362,880 ways to arrange all nine friends regardless if those four mentioned people stick together or not. We see that they stick together roughly (17,280)/(362,880) = 0.0476 = 4.76% of the time.

6 0
3 years ago
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9514 1404 393

Answer:

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Step-by-step explanation:

The problem statement tells you ...

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Dividing by the coefficient of x gives its value:

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6 0
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asambeis [7]

Answer:

its 44

Step-by-step explanation:

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5 0
3 years ago
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