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3 years ago

A video game is on sale for 15% off the list price of $50. How much is saved by buying the game at the sale price?

Mathematics

1 answer:

boyakko [2]3 years ago

3 0

Answer:

Step-by-step explanation:

$Original price = \$50\\Discount = 15\%\\\\\frac{15}{100} \times 50\\ = \$7.5\\$

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A local newspaper said that the city of Luttrell is expected to grow by 10% each year. The population in 2012 is 130,457 people.

Fofino [41]

Answer:

yes becvaib it is

Step-by-step explanation:

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3 years ago

The vertex of the parabola below is at the point (2, 4), and the point (3, 6) is on the parabola. What is the equation of the pa

Liula [17]

<span>C and B are *candidates* for being the correct solution
because f(2) = 4 for both.
</span>
A is the correct solution because f(3)=6

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3 years ago

A flat circular plate has the shape of the region x squared plus y squared less than or equals 1.The plate, including the bound

rjkz [21]

Answer:

We have the coldest value of temperature $T(\frac{3}{4},0) = -9/16$ . and the hottest value is $T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}$ .

Step-by-step explanation:

We need to take the derivative with respect of x and y, and equal to zero to find the local minimums.

The temperature equation is:

$T(x,y)=x^{2}+2y^{2}-\frac{3}{2}x$

Let's take the partials derivatives.

$T_{x}(x,y)=2x-\frac{3}{2}=0$

$T_{y}(x,y)=4y=0$

So, we can find the critical point (x,y) of T(x,y).

$2x-\frac{3}{2}=0$

$x=\frac{3}{4}$

$4y=0$

$y=0$

The critical point is (3/4,0) so the temperature at this point is: $T(\frac{3}{4},0)=(\frac{3}{4})^{2}+2(0)^{2}-(\frac{3}{2})(\frac{3}{4})$

$T(\frac{3}{4},0)=-\frac{9}{16}$

Now, we need to evaluate the boundary condition.

$x^{2}+y^{2}=1$

We can solve this equation for y and evaluate this value in the temperature.

$y=\pm \sqrt{1-x^{2}}$

$T(x,\sqrt{1-x^{2}})=x^{2}+2(1-x^{2})-\frac{3}{2}x$

$T(x,\sqrt{1-x^{2}})=-x^{2}-\frac{3}{2}x+2$

Now, let's find the critical point again, as we did above.

$T_{x}(x,\sqrt{1-x^{2}})=-2x-\frac{3}{2}=0$

$x=-\frac{3}{4}$

Evaluating T(x,y) at this point, we have:

$T(-(3/4),\sqrt{1-(-3/4)^{2}})=-(-\frac{3}{4})^{2}-\frac{3}{2}(-\frac{3}{4})+2$

$T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}$

Now, we can see that at point (3/4,0) we have the coldest value of temperature $T(\frac{3}{4},0) = -9/16$ . On the other hand, at the point $-(3/4),\frac{\sqrt{7}}{4})$ we have the hottest value of temperature, it is $T(-(3/4),\frac{\sqrt{7}}{4})=\frac{5}{16}$ .

I hope it helps you!

4 0

2 years ago

Consider the relationship chart for the a fast-food restaurant,

boyakko [2]

The layout of the fast-food restaurant of dimensions 6 by 8 5 feet squares is presented in the attached table created with Sheets.

<h3>How can the required layout be found?</h3>

The dimensions of the facility are;

Horizontal = 6 squares

Vertical = 8 squares

The side length of each square = 5 feet

Therefore;

Area of each square = 5² ft.² = 25 ft.²

Number of squares, <em>n</em>, required by each dependent are therefore;

CB department, <em>n </em>= 300 ÷ 25 = 12 squares

CF department, <em>n</em> = 200 ÷ 25 = 8 squares

PS department, <em>n </em>= 8 squares

DD department, <em>n</em> = 8 squares

CS department, <em>n</em> = 12 squares

A layout for the fast-food restaurant is therefore;

The first three vertical columns of 8 squares each are occupied by the CF, PS, and DD departments. The remaining 3 by 8 squares are occupied by the CB department, (3 by 4 squares), and the CS department, (3 by 4 squares)

Please see the attached table layout created using Sheets.

Learn more about finding the area of regular figures here:

brainly.com/question/316492

#SPJ1

8 0

1 year ago

P(x) = 2x^2 - 4x - 6

raketka [301]

Answer:

p(x) =2(x-1) ^2-8

Step-by-step explanation:

Add the same value to both sides
Add 1 to the expression
Add 2×1 to the left side
Simplify factors
Move constant to the right
Then calculate

7 0

3 years ago

A video game is on sale for 15% off the list price of $50. How much is saved by buying the game at the sale price?​

A video game is on sale for 15% off the list price of $50. How much is saved by buying the game at the sale price?