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2 years ago

The selling price of a skateboard is 147 $. The store has 75% markup policy. What uis the selling price of the skateboard

Mathematics

1 answer:

lesantik [10]2 years ago

5 0

Answer:

Selling Price = $147

Mark Up = 75%

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The selling price of the skateboard is $84.

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Please help am very Confused

GuDViN [60]

Answer:

Step-by-step explanation:

n>3

5 0

2 years ago

What are the ratios for sin A and cos A? The triangle is not drawn to scale.

dalvyx [7]

Answer:

$SinA = \frac{84}{85}$ and $CosA=\frac{13}{85}$

Step-by-step explanation:

The ratios of sine and cos are defined as follows:

$Sin A = \frac{Opposite}{Hypotenuse}$ , and

$CosA = \frac{Adjacent}{Hypotenuse}$

The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)

Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.

Thus, we can now write:

$Sin A = \frac{Opposite}{Hypotenuse}\\SinA = \frac{84}{85}$

$CosA = \frac{Adjacent}{Hypotenuse}\\CosA=\frac{13}{85}$

The correct answer is the first answer choice.

7 0

2 years ago

Use Stokes' Theorem to evaluate C F · dr F(x, y, z) = xyi + yzj + zxk, C is the boundary of the part of the paraboloid z = 1 − x

Serggg [28]

I assume $C$ has counterclockwise orientation when viewed from above.

By Stokes' theorem,

$\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

so we first compute the curl:

$\vec F(x,y,z)=xy\,\vec\imath+yz\,\vec\jmath+xz\,\vec k$

$\implies\nabla\times\vec F(x,y,z)=-y\,\vec\imath-z\,\vec\jmath-x\,\vec k$

Then parameterize $S$ by

$\vec r(u,v)=\cos u\sin v\,\vec\imath+\sin u\sin v\,\vec\jmath+\cos^2v\,\vec k$

where the $z$ -component is obtained from

$1-(\cos u\sin v)^2-(\sin u\sin v)^2=1-\sin^2v=\cos^2v$

with $0\le u\le\dfrac\pi2$ and $0\le v\le\dfrac\pi2$ .

Take the normal vector to $S$ to be

$\vec r_v\times\vec r_u=2\cos u\cos v\sin^2v\,\vec\imath+\sin u\sin v\sin(2v)\,\vec\jmath+\cos v\sin v\,\vec k$

Then the line integral is equal in value to the surface integral,

$\displaystyle\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

$=\displaystyle\int_0^{\pi/2}\int_0^{\pi/2}(-\sin u\sin v\,\vec\imath-\cos^2v\,\vec\jmath-\cos u\sin v\,\vec k)\cdot(\vec r_v\times\vec r_u)\,\mathrm du\,\mathrm dv$

$=\displaystyle-\int_0^{\pi/2}\int_0^{\pi/2}\cos v\sin^2v(\cos u+2\cos^2v\sin u+\sin(2u)\sin v)\,\mathrm du\,\mathrm dv=\boxed{-\frac{17}{20}}$

6 0

2 years ago

What is the exact area of a circle with a diameter of 18 feet

marin [14]

A = π r^2
A = 9^2 π
A = 81π

if using π = 3.14 then

A = 3.14 x 81 = 254.47 ft^2

answer: 81π ft^2 or 254.47 ft^2

hope that helps

6 0

2 years ago

The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with the following function:

Eduardwww [97]

I = -425x^2 + 45500x - 650000
For I to be maximum, dI/dx = 0
dI/dx = -850x + 45500 = 0
x = 45500/850 = 53.53

Therefore, maximum I = -425(53.53)^2 + 45500(53.53) - 650000 = 567,794.11

Therefore, the maximum average annual income, in dollars, a lawyer can earn is $567,794

8 0

3 years ago