A law firm charges $175 per hour for the first 3 hours plus a $300 origination fee for its services.

Mathematics

2 answers:

Korolek [52]2 years ago

8 0

Answer:

$825 if your looking for the total amount

Step-by-step explanation:

175(3) + 300 = x

525 + 300 = x

x = 825

shtirl [24]2 years ago

5 0

<h2>what do we answer? it doesn't have a question just an explenation of a question ( the question could be how much would the law firm charge for 4 hours) please update your question</h2>

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A family spends 520 every month on food. If the family income is 3,200 each month, what percent of the income is soent on food?

Julli [10]

Answer:

16.25%

Step-by-step explanation:

520/3200 = 52/320 = 16.25%

6 0

3 years ago

Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = 2yi + xzj + (x

Lady_Fox [76]

By Stokes' theorem, the line integral of $\vec F$ over $C$ is given by the surface integral of the curl of $\vec F$ over $S$ , where $S$ is the region of intersection of the plane $z=y+6$ and the cylinder $x^2+y^2=1$ with $S$ having positive/upward orientation.

Parameterize $S$ by

$\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+(u\sin v+6)\,\vec k$

with $0\le u\le1$ and $0\le v\le2\pi$ .

Take the normal vector to $S$ to be

$\vec s_u\times\vec s_v=-u\,\vec\jmath+u\,\vec k$

The curl of $\vec F$ is

$\nabla\times\vec F(x,y,z)=(1-x)\,\vec\imath-\vec\jmath+(z-2)\,\vec k$

Then the line integral is equivalent to

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

$=\displaystyle\int_0^{2\pi}\int_0^1\bigg((1-u\cos v)\,\vec\imath-\vec\jmath+(u\sin v+4)\,\vec k\bigg)\cdot\bigg(-u\,\vec\jmath+u\,\vec k\bigg)\,\mathrm du\,\mathrm dv$