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Dahasolnce [82]
3 years ago
10

What is 7% of 7,000?

Mathematics
2 answers:
Cloud [144]3 years ago
7 0
7 % of 7,000 is 490 .

Agata [3.3K]3 years ago
6 0
490

1. We assume, that the number 7000 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 7000 is 100%, so we can write it down as 7000=100%.
4. We know, that x is 7% of the output value, so we can write it down as x=7%.
5. Now we have two simple equations:
1) 7000=100%
2) x=7%
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:
7000/x=100%/7%
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 7% of 7000

7000/x=100/7
(7000/x)*x=(100/7)*x - we multiply both sides of the equation by x
7000=14.2857142857*x - we divide both sides of the equation by (14.2857142857) to get x
7000/14.2857142857=x
490=x
x=490

now we have:
7% of 7000=490
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A rocket is shot off from a launcher. The accompanying table represents the height of the rocket at given times, where x is time
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Answer:

The height at time of 12.1 seconds is approximately 729.2562 feet

Step-by-step explanation:

The general form of the quadratic regression equation is y = A + Bx + Cx²

The quadratic regression formula is given as follows;

B = \dfrac{S_{xy}S_{x'x'}-S_{x'y}S_{xx'}}{S_{xx}S_{x'x'} -(S_{xx'})^2}

C = \dfrac{S_{x'y}S_{xx}-S_{xy}S_{xx'}}{S_{xx}S_{x'x'} -(S_{xx'})^2}

A = \bar y - B \bar x - C \bar {x^2}

S_{xx} = \Sigma (x_i - \bar x)^2

S_{xy} = \Sigma (x_i - \bar x)(y_i - \bar y)

S_{xx'} = \Sigma (x_i - \bar x)(x^2_i - \bar {x^2})

S_{x'x'} = \Sigma (x^2_i - \bar {x^2})^2

S_{x'y} = \Sigma (x^2_i - \bar {x^2})(y_i - \bar {y})

Solving using an online quadratic regression calculator, gives;

A = 2.5643259

B = 246.6374865

C = -15.41986006

Substituting gives;

y = 2.5643259 + 246.6374865·x -15.41986006·x²

When time, x = 12.1, we have;

y = 2.5643259 + 246.6374865×12.1 -15.41986006×12.1²≈ 729.2562 feet

The height at time of 12.1 seconds ≈ 729.2562 feet.

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Answer:

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Step-by-step explanation:

Given:

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Find:

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