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jok3333 [9.3K]
3 years ago
5

As a salesperson you get $23/ day and $3.60/each sale you make. If you want to make at least $84. in one day, how many sales wou

ld need to make?
a 15
b 16
c 17
d 18
Mathematics
1 answer:
Anettt [7]3 years ago
5 0

Answer:

c 17

Step-by-step explanation:

You make 23 a day plus 3.60 per sale

Income = 23+ 3.6 s

You want to make at least 84

84 ≤ 23+ 3.6 s

Subtract 23 from each side

84 -23 ≤ 23-23 +3.6s

61 ≤ 3.6s

Divide by 3.6 on each side

61/3.6 ≤ 3.6s/3.6

16.94444 ≤ s

You must make more than 16.94444 sales

But you cannot make part of a sale so

You must make at least 17 sales

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The average rate of change on that interval is 14.

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Find a cofunction with the same value as the given expression. csc 52°
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To find a cofunction with the same value as the expression csc 52*, you would use the formula like this.  csc (x) = sec (90-x). So if you use csc(52) that equals sec(90-52). This in turn, equals sec(38). So the answer is B.
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3 years ago
Simplify this expression (a^8a^6)^1/7/a^2
ArbitrLikvidat [17]

Answer: 1

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(x^3)^4 = x^12

We will use that here.

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7 0
4 years ago
9. An article was sold at a profit of 12%. Had it been sold for Nu 80 more, there would be a profit of
Kamila [148]

Answer:

<em>The cost price of the article was Nu 1,000</em>

<em>The original selling price was Nu 1,120</em>

<em>The second selling price was Nu 1,200</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = Original selling price of the article

y = Cost of the article

The first condition implies that the difference between the selling price and the cost price (the profit) is 12%. Recall the profit % is always calculated with respect to the cost, that is, the profit at the first condition is:

0.12y = Original profit

Setting up the equation, we have:

x-y=0.12y

The second condition states the selling price is 80 Nu more than before, that is:

x+80= Second selling price of the article

y = Cost of the article (it doesn't change)

The profit of this condition is 20%, thus:

0.2y = Second profit

This produces a second equation:

x+80-y=0.2y

Let's put both equations together to form a system of equations:

x-y=0.12y

x+80-y=0.2y

Operating on both equations:

x=1.12y

x=1.2y-80

Equating both equations, we have an equation with only y's:

1.12y=1.2y-80

Subtracting 1.2y on each side:

1.12y-1.2y=-80

Operating:

-0.08y=-80

Solving:

\displaystyle y=\frac{-80}{-0.08}=1,000

a)

The cost price of the article was Nu 1,000

b) The selling price of the article will be calculated in both cases:

Original selling price: x=1.12y= 1.12*1000=1,120

The original selling price was Nu 1,120

The second selling price was x+80=1,200

The second selling price was Nu 1,200

8 0
4 years ago
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djyliett [7]

Answer:

Exact circumference is 7\frac{49}{150}km

Approximate circumference is 7.33 km

Step-by-step explanation:

We are given;

  • The diameter of a circle as 2\frac{1}{3} km

We are required to determine the exact and approximate circumference of the circle.

  • We know that the circumference of the circle is given by;
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Taking π as 3.14

Circumference=3.14 (2\frac{1}{3}km)

                          =7\frac{49}{150}km

The exact circumference of the circle is 7\frac{49}{150}km

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Thus, the approximate circumference of the circle is 7.33 km

6 0
4 years ago
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