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castortr0y [4]
3 years ago
14

A salesperson’s commission rate is 4%. What is the commission from the sale of $39,000 worth of furnaces? Suppose sales would do

uble. What would be true about the commission?

Mathematics
1 answer:
kenny6666 [7]3 years ago
3 0

Answer:

The earnings will double

Step-by-step explanation:

Step one:

given data

we are told that the sales person's earnings is 4% of the sales made.

given that the sales made is $37,000 worth of furnaces.

Step two:

we want to find 4% of $37,000

=4/100*37000

=0.04*37000

=1480

hence for $37,000 the earning will be $1480.

Now suppose sales is doubled that is 37000*2= 74000

we want to find 4% of $74,000

=4/100*74000

=0.04*74000

=2960.

the earnings is $2960.

So if sales doubles the earnings will double

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Answer:

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5 0
2 years ago
Christopher withdrew 30 United States dollars (USD) from an automatic teller machine in Germany. He received 24 euros (EUR). Whi
Gelneren [198K]

<em> 1 euro equals 1.25 dollars</em>

<h2>Explanation:</h2><h2></h2>

In this problem we know that:

  • Christopher withdrew 30 United States dollars (USD) from an automatic teller machine in Germany.
  • He received 24 euros (EUR).

So we can solve this by using unitary method:

1EUR=\frac{30EUR}{24USD} \\ \\ \boxed{1EUR=1.25USD}

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<h2>Learn more:</h2>

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5 0
3 years ago
A = √7 + √c and b = √63 + √d where c and d are positive integers.
mrs_skeptik [129]

Answer:

\displaystyle a:b=\frac{1}{3}

Step-by-step explanation:

<u>Ratios </u>

We are given the following relations:

a=\sqrt{7}+\sqrt{c}\qquad \qquad[1]

b=\sqrt{63}+\sqrt{d}\qquad \qquad[2]

\displaystyle \frac{c}{d}=\frac{1}{9} \qquad \qquad [3]

From [3]:

9c=d

Replacing into [2]:

b=\sqrt{63}+\sqrt{9c}

We can express 63=9*7:

b=\sqrt{9*7}+\sqrt{9c}

Taking the square root of 9:

b=3\sqrt{7}+3\sqrt{c}

Factoring:

b=3(\sqrt{7}+\sqrt{c})

Find the ration a:b:

\displaystyle a:b=\frac{\sqrt{7}+\sqrt{c}}{3(\sqrt{7}+\sqrt{c})}

Simplifying:

\boxed{a:b=\frac{1}{3}}

3 0
3 years ago
Which system of inequalities is represented by the graph?
timofeeve [1]

Answer:

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4 " is represented by the graph ⇒ D

Step-by-step explanation:

To find the answer let us find the equation of each line

Blue line:

∵ The line passes through points (5 , 0) and (0 , 2.5)

- Find the slope of the line

∵ m = Δy/Δx

∴ \frac{0-2.5}{5-0}=\frac{-2.5}{5}

∴ m = -0.5

- The form of the equation is y = m x  + b, where b is the

   y-intercept (value y at x = 0)

∵ y = 2.5 at x = 0

∴ b = 2.5

- Write the equation of the line

∴ y = - 0.5 x + 2.5

- Multiply both sides by 2

∴ The equation of the blue line is 2 y = - x + 5

- The shading is under the line and the line is solid, that means

  2 y is less than or equal - x + 5

∴ The inequality of the blue line is 2 y ≤ - x + 5

Red line:

∵ The line passes through points (3 , -5) and (0 , 4)

- Find the slope of the line

∴ m=\frac{-5-4}{3-0}=\frac{-9}{3}

∴ m = -3

∵ y = 4 at x = 0

∴ b = 4

- Write the equation of the line

∴ y =  -3 x + 4

∴ The equation of the red line is y = -3 x + 4

- The shading is below the line and the line is solid, that means

  y is less than or equal -3 x + 4

∴ The inequality of the red line is y ≤ -3 x + 4

Let us find which answer is the same with this system of inequalities

∵ 2 y ≤ - x + 5

- Add x to both sides

∴ x + 2 y ≤ 5 ⇒ same as the first inequality of answer D

∵ y ≤ -3 x + 4

- Add 3 x to both sides

∴ 3 x + y ≤ 4 ⇒ same as the second inequality of answer D

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4 0
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Answer:

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