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trapecia [35]
2 years ago
7

4. The rental for a television set changed from $80 per year to $8 per month

Mathematics
1 answer:
Olegator [25]2 years ago
6 0

Answer:

16%

Step-by-step explanation:

rental charge per year = $80

rental charge at the rate $8 per year = 8 * 12 = 96

the increased amount = 96 - 80 = 16

% = 16 / 100 = 16%

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Juliet is selling photographs as part of a project for her entrepreneurship class. She sells the first 20 photographs for 15 eac
garik1379 [7]

Answer:

The correct option would be B) 20

Step-by-step explanation:

Consider the complete question is,

"Juliet is selling photographs as part of a project for her entrepreneurship class. She sells the first 20 photographs for 10 each, because the first 20 photographs sold quickly, she raised the price of the photograph to 15 each for the rest of the project. After her expenses, Juliet earns a profit of 80% of the revenues from her sales. What is the least number of photographs she must sell for the rest of the project to earn a profit of at least $400"

Now,  80% of sales = profit

\implies \text{Sales}=\frac{100\times Profit}{80}

If, Profit =  $400

\text{Sales}=\frac{100\times 400}{80}=\$ 500

∵ 20 photographs are sold for 10 each,

Since, revenue in first selling = 20 × 10 = $ 200,

Let she must sold x photographs for the rest of the project,

∵ price of each photograph in second selling = $ 15,

So, revenue in second selling = x × 15 = $ 15x,

Thus, total sales = 200 + 15x

⇒ 200 + 15x = 500

⇒ 15x = 500 -  200

⇒ 15x = 300

⇒ x = 20

Therefore, she must sell 20 photographs for the rest of her project.

i.e. OPTION B) is correct.

7 0
2 years ago
Tatami mats are used as a floor covering in Japan. one possible layout uses four identical rectangular mats and one square mat.
Basile [38]
So by definition, area is equal to the length (x) times the width (y). The area of the square mat is = x × y, or xy
If the area of<span> the rectangular mat is twice that of the square mat, the area of the rectangular mat would have to be = 2 </span>× x × y<span>
This can be written as 2x </span>× y, making the length of the rectangular mat twice that of the square mat's length, and the width the same as the square mat's width.<span>

</span>
3 0
2 years ago
Read 2 more answers
In the table, x represents the age in years of a collectible baseball card, and y represents its value in dollars. Cost of a Pac
lukranit [14]

Answer:

b

Step-by-step explanation:

The slope is positive because as the age increases, the value increases.

6 0
2 years ago
Read 2 more answers
If e = 9 cm and f = 40 cm, what is the length of g?
rewona [7]

(9,40,41) is a Pythagorean Triple, farther down the list than teachers usually venture.

Answer: D. 41 cm

There's a subset of Pythagorean Triples where the long leg is one less than the hypotenuse,

a^2+b^2 = (b+1)^2

a^2 + b^2 = b^2 + 2b +1

a^2=2b+1

So we get one for every odd number, since the square of an odd number is odd and the square of an even number is even.

b = (a^2 - 1)/2

a=3, b=(3^2-1)/2=4, c=b+1=5

a=5, b=(5^2-1)/2 =12, c = 13

a=7, b=24, c=25

a=9, b=40, c=41

a=11, b=60, c=61

a=13, b=84, c=85

It's good to be able to recognize Pythagorean Triples when we see them.  

Otherwise we'd have to work the calculator:

√(9² + 40²) = √1681 = 41

8 0
2 years ago
Write the multiple regression equation for miles per gallon as the response variable. Use weight and horsepower as predictor var
Naily [24]

Answer:

Step-by-step explanation:

Response Variable: Miles per gallon

Predictor Variables: Weight, Horsepower

The multiple regression equation would be: M = aW + bH + c

where M = miles per gallon

a = slope of the graph of W on M OR rate of change in M due to change in W

W = weight

b = slope of the graph of H on M OR rate of change in M due to change in H

H = horsepower

c = intercept of M on the y-axis OR constant variable

How might the car rental company use this model?

The car rental company might use the regression model to determine the following:

- Effect of weight (of car) on miles run per gallon (of premium motor spirit)

- Effect of horsepower on miles per gallon; etc.

8 0
2 years ago
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