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3 years ago

11

The commission for selling a house is$11825, which is 5.5% of the selling price. What is the selling price of the house?

1 answer:

Rzqust [24]3 years ago

8 0

In this case, the best method starts with finding one percent of the selling price. To do this, divide the commission ($11825) by 5.5. This gets you 1%, which is $2150. Next, multiply this number by 100, turning 1% into 100%. Your final answer is $215,000.

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Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y

Yuri [45]

Let the curve C be the intersection of the cylinder

$16x^2+y^2=16$

and the plane

$x+y+z=1$

The projection of C on to the x-y plane is the ellipse

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To see clearly that this is an ellipse, le us divide through by 16, to get

$\frac{x^2}{1}+ \frac{y^2}{16}=1$

or

$\frac{x^2}{1^2}+ \frac{y^2}{4^2}=1$ ,

We can write the following parametric equations,

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for

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Since C lies on the plane,

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it must satisfy its equation.

Let us make z the subject first,

$z=1-x-y$

This implies that,

$z=1-sin(t)-4cos(t)$

We can now write the vector equation of C, to obtain,

$r(t)=(cos(t),4sin(t),1-cos(t)-4sin(t))$

The length of the curve of the intersection of the cylinder and the plane is now given by,

$\int\limits^{2\pi}_0 {|r'(t)|} \, dt$

But

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$|r'(t)|=\sqrt{(-sin(t))^2+(4cos(t))^2+(sin(t)-4cos(t))}$

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3 years ago

the chess club has 50 members. they want to raise $680 for a trip to a competition. The school will give $130. how much must eac

lina2011 [118]

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Harlamova29_29 [7]

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