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choli [55]
2 years ago
10

An appliance store sells an oven for 25% off the original price. The sale price is $251.85, not including tax. What is the price

of the oven, not including tax, before the discount is applied. Show your work please I will be marking brainliest.
Mathematics
2 answers:
Natali5045456 [20]2 years ago
6 0

Answer:

$352.31

Step-by-step explanation:

Appliance store sold the oven for 25% off original price.

Sale price =$281.8

Price of the oven before the discount was applied is

= 25% /100% x $281.85

= 0.25 x $281.85

= $70.46

The appliance was sold at $70.46 less than the original price

Original price

= $70.46 + $281.85

= $352.31

HOPE THIS HELPS!

Whitepunk [10]2 years ago
3 0
Let x be the original price.
0.75x = 251.85
x = 335.8
Therefore, the original price is $335.8.
Hope this helps you!
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What is the slope of (-1,6) and (2,3)?
LenKa [72]

Answer:

-1

Step-by-step explanation:

For a line joining two points (x1, y1) and (x2, y2), it's slope is given as:

\boxed{ \mathsf{slope =  \frac{ y_{2} -y  _{1}}{ x_{2} - x _{1}} }}

Here, the two points are (-1, 6) and (2, 3) in place of (x1, y1) and (x2, y2).

Solving for slope:

\implies \mathsf{ \frac{3 - 6}{2 - ( -1 )} }

\implies \mathsf{ \frac{ - 3}{2  + 1 } }

\implies \mathsf{ \frac{ - 3}{3 } }

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3 years ago
Can anyone help me?
goldfiish [28.3K]

Given:

A right angle triangle ABC, right angled at C.

To find:

The measure of θ.

Solution:

In a right angle triangle,

\tan \theta=\dfrac{Opposite}{Adjacent}

In triangle ABC,

\tan \theta=\dfrac{AC}{BC}

\tan \theta=\dfrac{2.7}{5}

\tan \theta=0.54

It can be written as

\theta=\tan^{-1}0.54

\theta\approx 28.369

Therefore, the measure of θ is 28.369.

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3 years ago
A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the number of cakes sold per
dexar [7]

Answer:

The total revenue is TR=580x-10x^2.

The marginal revenue is MR=580-20x.

The fixed cost is $900.

The marginal cost function is MC=50x+300.

Step-by-step explanation:

The Total Revenue (TR) received from the sale of x goods at price p is given by

                                                         TR=p\cdot x

The Marginal Revenue (MR) is the derivative of total revenue with respect to demand and is given by

                                                       MR=\frac{d(TR)}{dx}

From the information given we know that the price they can sell cakes is given by the function p=580-10x, where x is the number of cakes sold per day.

So, the total revenue is

TR=(580-10x)\cdot x\\TR=580x-10x^2

And the marginal revenue is

MR=\frac{d}{dx}(580x-10x^2) \\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\MR=\frac{d}{dx}\left(580x\right)-\frac{d}{dx}\left(10x^2\right)\\\\MR=580-20x

The Fixed Cost (FC) is the amount of money you have to spend regardless of how many items you produce.

The Marginal Cost (MC) function is the derivative of the cost function and is given by

                                                   MC=\frac{d(TC)}{dx}

We know that the total cost function of the company is given by C=(30+5x)^2, which it is equal to

\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=30,\:\:b=5x\\\\\left(30+5x\right)^2=30^2+2\cdot \:30\cdot \:5x+\left(5x\right)^2=25x^2+300x+900\\\\C=25x^2+300x+900

From the total cost function and applying the definition of fixed cost, the fixed cost is $900.

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MC=\frac{d}{\:dx}\left(25x^2+300x+900\right)\\\\MC=\frac{d}{dx}\left(25x^2\right)+\frac{d}{dx}\left(300x\right)+\frac{d}{dx}\left(900\right)\\\\MC=50x+300+0=50x+300

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