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3 years ago

Alexia makes 5% commission on $40,000 in sales. David makes 10% commission on $300,000 in sales. Who makes more money?

Mathematics

2 answers:

Pepsi [2]3 years ago

4 0

Answer:

david

Step-by-step explanation:

david=30000

alexia=2000

muminat3 years ago

4 0

alexia make 2000

david make 30000

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50 degrees

Step-by-step explanation:

The 40⁰ angle is bisecting a right, or 90⁰ angle. The total of angles f and 40⁰ = 90⁰

f + 40⁰ = 90⁰

f = 50⁰

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3 years ago

Which expression is equivalent to (4*2) 1/3

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3 years ago

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mr_godi [17]

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This was translated 180 degrees clockwise around the origin.

Step-by-step explanation:

In order to find this, simply look for where the point is from it's original point. You'll notice that each point changes into the quadrant diagonal from it's original quadrant. Since this happens with each one, we know it must rotate roughly 180. Also, since each line is parallel to it's original spot, it is exactly 180 degrees around the origin.

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3 years ago

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2 years ago

Find the volume of the region between the planes x plus y plus 2 z equals 2 and 4 x plus 4 y plus z equals 8 in the first octant

Alex787 [66]

Find the intercepts for both planes.

Plane 1, x + y + 2z = 2:

$y=z=0\implies x=2\implies (2,0,0)$

$x=z=0\implies y=2\implies(0,2,0)$

$x=y=0\implies 2z=2\implies z=1\implies(0,0,1)$

Plane 2, 4x + 4y + z = 8:

$y=z=0\implies4x=8\implies x=2\implies(2,0,0)$

$x=z=0\implies4y=8\impliesy=2\implies(0,2,0)$

$x=y=0\implies z=8\implies(0,0,8)$

Both planes share the same x- and y-intercepts, but the second plane's z-intercept is higher, so Plane 2 acts as the roof of the bounded region.

Meanwhile, in the (x, y)-plane where z = 0, we see the bounded region projects down to the triangle in the first quadrant with legs x = 0, y = 0, and x + y = 2, or y = 2 - x.

So the volume of the region is

$\displaystyle\int_0^2\int_0^{2-x}\int_{\frac{2-x-y}2}^{8-4x-4y}\mathrm dz\,\mathrm dy\,\mathrm dx=\displaystyle\int_0^2\int_0^{2-x}\left(8-4x-4y-\frac{2-x-y}2\right)\,\mathrm dy\,\mathrm dx$

$=\displaystyle\int_0^2\int_0^{2-x}\left(7-\frac72(x+y)\right)\,\mathrm dy\,\mathrm dx=\int_0^2\left(7(2-x)-\frac72x(2-x)-\frac74(2-x)^2\right)\,\mathrm dx$

$=\displaystyle\int_0^2\left(7-7x+\frac74 x^2\right)\,\mathrm dx=\boxed{\frac{14}3}$

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3 years ago

Alexia makes 5% commission on $40,000 in sales. David makes 10% commission on $300,000 in sales. Who makes more money?​

Alexia makes 5% commission on $40,000 in sales. David makes 10% commission on $300,000 in sales. Who makes more money?