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3 years ago

15

A pair shoes is worth $50 but it’s markdown for 12% what’s the price

1 answer:

Anestetic [448]3 years ago

4 0

Answer:

$44.00, and you saved $6.00.

Step-by-step explanation:

You might be interested in

Consider the line integral Z C (sin x dx + cos y dy), where C consists of the top part of the circle x 2 + y 2 = 1 from (1, 0) t

pashok25 [27]

Direct computation:

Parameterize the top part of the circle $x^2+y^2=1$ by

$\vec r(t)=(x(t),y(t))=(\cos t,\sin t)$

with $0\le t\le\pi$ , and the line segment by

$\vec s(t)=(1-t)(-1,0)+t(2,-\pi)=(3t-1,-\pi t)$

with $0\le t\le1$ . Then

$\displaystyle\int_C(\sin x\,\mathrm dx+\cos y\,\mathrm dy)$

$=\displaystyle\int_0^\pi(-\sin t\sin(\cos t)+\cos t\cos(\sin t)\,\mathrm dt+\int_0^1(3\sin(3t-1)-\pi\cos(-\pi t))\,\mathrm dt$

$=0+(\cos1-\cos2)=\boxed{\cos1-\cos2}$

Using the fundamental theorem of calculus:

The integral can be written as

$\displaystyle\int_C(\sin x\,\mathrm dx+\cos y\,\mathrm dy)=\int_C\underbrace{(\sin x,\cos y)}_{\vec F}\cdot\underbrace{(\mathrm dx,\mathrm dy)}_{\vec r}$

If there happens to be a scalar function $f$ such that $\vec F=\nabla f$ , then $\vec F$ is conservative and the integral is path-independent, so we only need to worry about the value of $f$ at the path's endpoints.

This requires

$\dfrac{\partial f}{\partial x}=\sin x\implies f(x,y)=-\cos x+g(y)$

$\dfrac{\partial f}{\partial y}=\cos y=\dfrac{\mathrm dg}{\mathrm dy}\implies g(y)=\sin y+C$

So we have

$f(x,y)=-\cos x+\sin y+C$

which means $\vec F$ is indeed conservative. By the fundamental theorem, we have

$\displaystyle\int_C(\sin x\,\mathrm dx+\cos y\,\mathrm dy)=f(2,-\pi)-f(1,0)=-\cos2-(-\cos1)=\boxed{\cos1-\cos2}$

3 0

2 years ago

Thanks this answer really helped I got %100 on my test

Rzqust [24]

I don’t understand if this is a math problem or a statement.

3 0

2 years ago

Read 2 more answers

Sandra went for pizza with friends. She ordered a slice of pizza with a side salad for $9.50. The tax was 6.2%.

Anvisha [2.4K]

The total amount of money Sandra paid for a slice of pizza with a side salad including tax is $10.089

<h3>How to find total price including tax</h3>

Price of slice of pizza with a side salad = $9.50
Tax = 6.2%

Total amount Sandra paid = Price of slice of pizza with a side salad + (Tax × Price of slice of pizza with a side salad)

= 9.50 + (6.2% × 9.50)

= 9.50 + (0.062 × 9.50)

= 9.50 + 0.589

= $10.089

Therefore, the total amount Sandra paid is $10.089

Learn more about percentage:

brainly.com/question/843074

3 0

2 years ago

A ______ is a rule that pairs each element in one set with exactly one element from a second set.

Cloud [144]

Answer:

function

Step-by-step explanation:

A <u>function</u> is a rule that pairs each element in one set with exactly one element from a second set.

3 0

3 years ago

Mischa wrote the quadratic equation 0 = –x2 + 4x – 7 in standard form. What is the value of c in her equation

Zolol [24]

Mischa wrote the quadratic equation 0 = –x2 + 4x – 7 in standard form

The standard form of quadratic equation is

$y= ax^2 + bx + c$

When y=0 then the standard equation becomes

$0= ax^2 + bx + c$

Now we compare the given equation $0 = -x^2 + 4x - 7$ with $0= ax^2 + bx + c$ and find the value of a, b,c

-x^2 can be written as -1x^2

$0= ax^2 + bx + c$

$0 = -1x^2 + 4x - 7$

a= -1 , b=4 and c=-7

The value of c is -7

4 0

3 years ago

Read 2 more answers