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3 years ago

The sale price of a bike is $189.50. The sale tax is 5%. What is the total price?

2 answers:

6 0

It is 198.97. So the first thing you have to do is multiply 189.50 by .05.
Then you add that to 189.50 and thats how you get 198.97

Roman55 [17]3 years ago

3 0

It would be $947.50 because you would multiply $189.50 by 0.05.

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A company invests $10,000 in a mutual fund account that earns a fixed

olga55 [171]

Answer:

a(t)=10000+1.08t

Step-by-step explanation:

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10,800.00

11,664.00

12,597.12

5 0

3 years ago

F(x, y, z) = z tan−1(y2)i + z3 ln(x2 + 3)j + zk. find the flux of f across s, the part of the paraboloid x2 + y2 + z = 18 that l

Cerrena [4.2K]

$\mathbf F(x,y,z)=z\tan^{-1}(y^2)\,\mathbf i+z^3\ln(x^2+3)\,\mathbf j+z\,\mathbf k$
$\implies\mathrm{div}\mathbf F(x,y,z)=0+0+1=1$

By the divergence theorem, the flux of $\mathbf F$ across the *closed* surface $\mathcal S$ combined with the plane $z=2$ is given by a volume integral over the closed region:

$\displaystyle\iint_{\mathcal S}\mathbf F\cdot\mathrm d\mathbf S=\iiint_{\mathcal R}\nabla\cdot\mathbf F\,\mathrm dV$

So in fact, to find the flux over $\mathcal S$ alone, we'll need to subtract the flux of $\mathbf F$ over the planar portion, oriented outward. First, compute the volume integral by converting to cylindrical coordinates:

$x^2+y^2+z=18$
$z=2\implies x^2+y^2=16\implies r^2=16\implies r=4$

$\displaystyle\iiint_{\mathcal R}\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=4}\int_{z=2}^{z=18-r^2}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta=128\pi$

If the surface does actually contain $z=2$ , then you can stop here; otherwise, continue.

Now, parameterize the part of the *closed* surface in $z=2$ by

$\mathbf s(r,\theta)=r\cos\theta\,\mathbf i+r\sin\theta\,\mathbf j+2\,\mathbf k$

where $0\le r\le4$ and $0\le\theta\le2\pi$ . We get a surface element

$\mathrm d\mathbf S=(\mathbf s_r\times\mathbf s_\theta)\,\mathrm dr\,\mathrm d\theta=(r\,\mathbf k)\,\mathrm dr\,\mathrm d\theta$

We don't need to worry about the first two components of

and so the surface integral over this region is

$\displaystyle\iint_{z=2\,\land\,x^2+y^2\le16}\mathbf F\cdot\mathrm d\mathbf S=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=4}2r\,\mathrm dr\,\mathrm d\theta=32\pi$

Then the total flux over $\mathcal S$ alone is $(128-32)\pi=96\pi$ .

4 0

3 years ago

Can angles also use the reflexive property?

DochEvi [55]

Here is an example of showing two angles are congruent using the reflexive property of congruence: Separating the two triangles, you can see Angle Z is the same angle for each triangle. Since they are the same angle, the angle is congruent to itself.

7 0

4 years ago

Which is not a statistical question?

Helga [31]

Answer:

Step-by-step explanation:

A, B, and C ask questions that will be answered with different sets of data.

example a:

purple- 11 students

blue- 5 students

orange- 7 students

example b:

math- 27

history- 30

art- 25

example c:

history books: 12 lbs

math books: 15 lbs

science books: 10 lbs.

If it were to ask how many windows are there in each of the classrooms then it would be statistical.

you get the gist lol.

3 0

3 years ago

Karin wants to use the distributive property to mentally find the value of 19 x 42+ 19x 58. Which expression can she use?

ipn [44]

19 x (42 + 58) or 19*(42 + 58) is the expression she can use. You factor out the common term 19. The distributive rule says that we can multiply the outer 19 with each term inside to get the original expression again.

8 0

4 years ago