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Tanzania [10]
2 years ago
11

A bookstore costs $105 a day to keep open, and it spends $12 for each book

Mathematics
1 answer:
Alex2 years ago
4 0

After selling 35 books, the store will break-even.

Step-by-step explanation:

Given,

Cost required per day to keep store open = $105

Amount spent on each book = $12

Let,

n be the number of books.

Total costs = 12n + 105

Selling price of each book = $15

Total revenue = 15n

For braking even;

Costs = Revenue

12n+105=15n\\105=15n-12n\\105=3n\\3n=105

Dividing both sides by 3

\frac{3n}{3}=\frac{105}{3}\\n=35

After selling 35 books, the store will break-even.

Keywords: revenue, cost, division

Learn more about division at:

  • brainly.com/question/10754198
  • brainly.com/question/10771256

#LearnwithBrainly

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Logan can read at a rate of 2/3 page per minute. At that rate, how many pages can he read in 2 hours?
Anon25 [30]

Answer:

240- 360

Step-by-step explanation:

You have to find out how many minutes in an hour which is 60. Then multiply it by 2 for 2 hours to get 120. Then you multiply 2x120 to get 240. Then you multiply 3x120 to get 360.

I'm not sure if this is correct but this is how I would go about it. :)

7 0
2 years ago
You and your mom enter a drawing with 3 different prizes. A total of 8 people entered the drawing, and prizes are awarded random
Rashid [163]
It's actually C. 6/336
8 0
2 years ago
Read 2 more answers
Modern Vehicles Company came up with two different plans for the next financial year. Plan Y: Increase vehicle production by 5%
ladessa [460]

Answer: plan Y will produce more vehicles after 4 years.

Step-by-step explanation:

1) Plan Y: Increase vehicle production by 5% every year. It means that the rate of production is in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term(years) in the sequence.

a represents the first term(number of vehicles in the present year) in the sequence.

r represents the common ratio.

From the information given,

a = 10000

r = 1 + 5/100 = 1.05

n = 4 years

Therefore, the sum of the vehicles produced in the first 4 years, S4 is

S4 = (10000 × 1.05^(4) - 1)/1.05 - 1

S4 = (10000 × 0.21550625)/0.05

S4 = 2155.0625/0.05

S4 = 43101 vehicles

2) Plan Z: Increase production by 300 vehicles every year. It means that the rate of production is in geometric progression. The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

n = 4 years

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6 0
2 years ago
jose is choosing a 3-letter password from the letters a,b,c,d. the password cannot have the same letter repeated in it. how many
kvasek [131]
Alright, so we are dealing with permutations. Permutations are the number of combinations in a specific order possible for the set. 

There's 4 letters, each one can be paired with 3 other letters, but those letters could be in different orders. To figure out how many variations of each combination there are (aka the number of permutations) use this formula:

_{n}P_{r}= \frac{n!}{(n-r)!}

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n= number of elements in the set

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There are only 3 elements in the subset because there is 1 that will not be repeated in each set, and there are 4 elements in the set.

Here's the math:

_{n}P_{r}= \frac{n!}{(n-r)!}

_{4}P_{3}= \frac{4!}{(4-3)!}

_{4}P_{3}= \frac{4!}{(1)!}

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There are 24 permutations. I can prove this by showing you the model:

ABCD, ABDC, ACBD, ACDB, ADBC, ADCB are the 6 arrangements possible of the set starting with the letter A. Because there are 4 letters, the total amount of permutations without repeated letters is 4 (letters) times 6 (possible arrangements), which equals 24.

Hope this helps!

Answer: 24 passwords are possible
5 0
2 years ago
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Lana71 [14]
15x+25y=1875
Let
y=95-x
15x+25 (95-x)=1875
Solve for x
15x+2375-25x=1875
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X=500/10
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Y=95-50=45 the number of $25 items
5 0
2 years ago
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