Norman earns $675 per month walking dogs he has to pay 8.5% tax on his income how much tax did he pay

57.375

Step-by-step explanation:

Multiply then move the decimal

57.375

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 675 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 675 is 100%, so we can write it down as 675=100%.

4. We know, that x is 8.5% of the output value, so we can write it down as x=8.5%.

5. Now we have two simple equations:

1) 675=100%

2) x=8.5%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

675/x=100%/8.5%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 8.5% of 675

675/x=100/8.5

(675/x)*x=(100/8.5)*x       - we multiply both sides of the equation by x

675=11.764705882353*x       - we divide both sides of the equation by (11.764705882353) to get x

675/11.764705882353=x

57.375=x

x=57.375

now we have:

8.5% of 675=57.375

hope it help :)

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

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step-by-step explanation:

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