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mihalych1998 [28]
4 years ago
9

Margie has a $50.00 budget to purchase $45.00 pair of boots. If there is an 8% sales tax rate then how much under budget will Ma

ggie be?
Mathematics
2 answers:
LuckyWell [14K]4 years ago
7 0
She will be $1.40 under budget.

8% = 8/100 = 0.08

Adding this to 100% of the price of the shoes, we get 108% = 108/100 = 1.08.

We multiply the price of the shoes by this:
45*1.08 = 48.60

Subtract this from 50:
50 - 48.60 = 1.40
3241004551 [841]4 years ago
5 0

Answer:

$1.40

Step-by-step explanation:

8%=0.08

45*.08=3.6

45+3.6=48.60

50.00-48.60=1.40

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38. Evaluate f (3x +4y)dx + (2x --3y)dy where C, a circle of radius two with center at the origin of the xy
lina2011 [118]

It looks like the integral is

\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy

where <em>C</em> is the circle of radius 2 centered at the origin.

You can compute the line integral directly by parameterizing <em>C</em>. Let <em>x</em> = 2 cos(<em>t</em> ) and <em>y</em> = 2 sin(<em>t</em> ), with 0 ≤ <em>t</em> ≤ 2<em>π</em>. Then

\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy = \int_0^{2\pi} \left((3x(t)+4y(t))\dfrac{\mathrm dx}{\mathrm dt} + (2x(t)-3y(t))\frac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt \\\\ = \int_0^{2\pi} \big((6\cos(t)+8\sin(t))(-2\sin(t)) + (4\cos(t)-6\sin(t))(2\cos(t))\big)\,\mathrm dt \\\\ = \int_0^{2\pi} (12\cos^2(t)-12\sin^2(t)-24\cos(t)\sin(t)-4)\,\mathrm dt \\\\ = 4 \int_0^{2\pi} (3\cos(2t)-3\sin(2t)-1)\,\mathrm dt = \boxed{-8\pi}

Another way to do this is by applying Green's theorem. The integrand doesn't have any singularities on <em>C</em> nor in the region bounded by <em>C</em>, so

\displaystyle \int_C (3x+4y)\,\mathrm dx + (2x-3y)\,\mathrm dy = \iint_D\frac{\partial(2x-3y)}{\partial x}-\frac{\partial(3x+4y)}{\partial y}\,\mathrm dx\,\mathrm dy = -2\iint_D\mathrm dx\,\mathrm dy

where <em>D</em> is the interior of <em>C</em>, i.e. the disk with radius 2 centered at the origin. But this integral is simply -2 times the area of the disk, so we get the same result: -2\times \pi\times2^2 = -8\pi.

3 0
3 years ago
8. Solve.
trapecia [35]

Answer:

48 assistants

Step-by-step explanation:

If 1 executive has an average of 1.5 assistants, let x represent the number of assistants that are employed if there are 32 executives in the office.

Thus:

1.5 assistants to 1 executive = x assistants to 32 executives

1.5 : 1 = x : 32

\frac{1.5}{1} = \frac{x}{32}

Cross multiply

1.5*32 = x*1

48 = x

Therefore, 48 assistants were employed in the office.

3 0
3 years ago
The graph below shows the winter precipitation in Arizona from 1995 to 2002. It also shows the survival rates of Arizona prongho
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Answer:

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* Fawns would most likely go extinct if the precipitation rate continues to go down.

Step-by-step explanation:

3 0
3 years ago
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A students pay of 21 an hour is 4 more than twice the amount the student earns per hour and an internship
Lelu [443]
I think it is 46 because 21 x 2 is 42 plus 4 equals 46
6 0
4 years ago
how do you study for geometry, regardless im gonna fail but i want to atleast make an attempt yk? so like how does one study for
Fofino [41]

Answer:

Don't stress your self out. Take your time and read over notes, write down things you think are important.

8 0
2 years ago
Read 2 more answers
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