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2 years ago

Charles Beaudry sells computer hardware for a computer firm. He is paid 4%

Mathematics

1 answer:

elena-14-01-66 [18.8K]2 years ago

4 0

Answer:

$1,444

Step by Step Explanation

You have to break down the different commission rates on the total:

$24550 is the total Amount of Sales subject to commissions, which are paid at different rates:

1. $8000 x 4% = $320

2. $10000 x 6% = $600

3. Add $8000 + $10000 = $18000 and subtract from the total sales to get the last number for the 8% commission calculation.

4. $24550-$18000 = $6550 x 8% = $524

5. Add the three amounts together to get the total commission

$320+$600+$524 = $1,444

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Hello!

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now, the area in the middle, the shaded one, will be, the whole area of the triangle MINUS those 3 circle sectors

hmmmm each sector has 60°, that means, all three of them will then be 60+60+60 or 180°, so the area of those three sectors, can be combined into a 180° sector, well, hell, 180° is really half a circle

so.... the area of those three sectors of 60° each, all three combined, is the same area of half a circle with a radius of 3

so $\bf \textit{area of an equilateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}\qquad s=\textit{length of one side}\\\\
-----------------------------\\\\
\textit{area of a circle}\\\\
A=\pi r^2\qquad r=radius\\\\
\textit{area of half a circle}\\\\
A=\cfrac{\pi r^2}{2}\\\\
-----------------------------\\\\$

$\bf \textit{now, let us use the side of 6, and radius of 3}
\\\\\\

\begin{array}{clclll}
\cfrac{6^2\sqrt{3}}{4}&-&\cfrac{\pi 3^2}{2}\\
\uparrow &&\uparrow \\
triangle's&&semi-circle's
\end{array}\impliedby \textit{area of shaded area}\\\\
-----------------------------\\\\
\boxed{\cfrac{36\sqrt{3}}{4}-\cfrac{9\pi }{2}}$

you can, add the fractions if you want, or leave them like that, or get their difference by using their decimal format

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