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2 years ago

5

Tracey paid $165 for an item that was originally priced at $450. What percent of the original price did Tracey pay? Round your p

ercentage answer to two decimal places.

1 answer:

Ipatiy [6.2K]2 years ago

4 0

Answer:

36.67%

Step-by-step explanation:

To find the percent, divide 165 by 450 (part over whole) and multiply by 100

(165/450) x 100

= 36.67

So, Tracey paid 36.67% of the original price

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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.

And the marginal cost function is

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

4 0

3 years ago

Calculate the value of x.

Nikitich [7]

Answer:

x = 17deg

Step-by-step explanation:

Let angle y be the unknown angle IN THE TRIANGLE.

Angle y = 180 - 90 - 73

= 17deg

Angle x = Angle y (Alternate angles on 2 parallel lines)

Angle x = 17 deg

8 0

2 years ago

Read 2 more answers

Please help worth 20 points will mark brainliest

ddd [48]

Answer:

P(t)= 100t + 150

Step-by-step explanation:

If the price for 6 hours of studio time is 600 dollars, that means every hour the studio is used it costs 100 dollars. Since the fixed fee is 150 dollars, that is added to the cost of how many hours the studio is used.

I hope this helped you. If it did Brainilest is appreciated.

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3 years ago

Burka [1]

V=4x-1 I believe is the anwsers

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2 years ago

What is the volume of the cone with diameter 7in and height 9in? Round to the nearest cubic inch

dezoksy [38]

Diameter = 7 cm
radius = 7÷2 = 3.5
Volume of cone = 1/3 $\pi r^{2} h$
Volume of cone = 1/3 $\pi 3.5^{2} (9)$ = 115 cubic inches (Answer B)

8 0

3 years ago

Read 2 more answers