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notsponge [240]
3 years ago
10

To Cool Auto pays commission based on the profit they

Mathematics
1 answer:
ss7ja [257]3 years ago
8 0

Answer:

The answer is below

Step-by-step explanation:

Let x represent the profit made from sales and c(x) the commission based on sells. If the profit is less  then $1000,they 21%, hence:

if x < 1000, c(x) = 0.21x

If the profit is less  between $1000 and $1200,they 22.5%, hence:

if 1000 < x < 1200, c(x) = 0.225x

If the profit is  greater than $1200,they 23.5%, hence:

if x > 1200, c(x) = 0.235x

Therefore the commission represented as a piecewise function is:

c(x)=\left \{ {{0.21x\  \ x

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A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 72 yards, what are its di
kykrilka [37]

Answer:

Width= 12 yards

Length= 24 yards

Step-by-step explanation:

Perimeter of a rectangle= 2(length + width)

Let

w= width

Twice as long as it is wide

Length= 2w

Perimeter of the rectangle= 72 yards

Perimeter of a rectangle= 2(length + width)

72 = 2(2w + w)

72 = 4w + 2w

72 = 6w

Divide both sides by 6

72/6 = w

12= w

w=12

Therefore,

Width= 12 yards

Length= 2w

=2(12)

=24 yards

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4 years ago
Maximum Slope Of your Bridge
Diano4ka-milaya [45]

General Idea:

The slope is given by rise over run. The change in y-axis with respect to change in x-axis is described as slope.

Slope =\frac{Rise}{Run}

Applying the concept:

Given that the slope is 0.06, we should try to rewrite it as a fraction

0.06=\frac{6}{100}=\frac{3}{50}=\frac{Rise}{Run}

So if we form a right triangle as shown in the figure, then slope provides us the information that the base of the bridge is 50 and height of the bridge is 3, Now we need to find the hypotenuse using the Pythagorean theorem to get the length of the bridge.

[tex] Length =\sqrt{3^{2}+50^{2}} =\sqrt{9+2500}} =\sqrt{2509}}

Conclusion:

Length of the bridge is 50.08 approximately

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A and c are the correct answers
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True

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