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3 years ago

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The yearly profit of a company in thousands of dollars is given by the finction P(x) =3000+1200-6x^2 where x is the amount in th

ousands the company spneds on advertising. Find the amount ,x, that the company has to spend to maxamize its profit

1 answer:

NeTakaya3 years ago

7 0

The maximum or minimum happens when x=-b/2a
x=-1200/[2*(-6)]=100

the maximum happens when x=100

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If f(x) = 53 - 2x, then f(-3) =

zheka24 [161]

Substitute -3 for x in the expression

f(x)= 53 - 2x

f(-3)= 53 - 2(-3)
multiply -2 * -3

f(-3)= 53 + 6
add

f(-3)= 59

ANSWER: f(-3)= 59

Hope this helps! :)

4 0

3 years ago

A storage tank will have a circular base of radius r and a height of r. The tank can be either cylindrical or hemispherical (ha

Neko [114]

Answer:

Volume: $\frac{2}{3}\pi r^3$

Ratio: $\frac{2}{9}r$

Step-by-step explanation:

First of all, we need to find the volume of the hemispherical tank.

The volume of a sphere is given by:

$V=\frac{4}{3}\pi r^3$

where

r is the radius of the sphere

V is the volume

Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:

$V'=\frac{V}{2}=\frac{\frac{4}{3}\pi r^3}{2}=\frac{2}{3}\pi r^3$

Now we want to find the ratio between the volume of the hemisphere and its surface area.

The surface area of a sphere is

$A=4 \pi r^2$

For a hemisphere, the area of the curved part of the surface is therefore half of this value, so $2\pi r^2$ . Moreover, we have to add the surface of the base, which is $\pi r^2$ . So the total surface area of the hemispherical tank is

$A'=2\pi r^2 + \pi r^2 = 3 \pi r^2$

Therefore, the ratio betwen the volume and the surface area of the hemisphere is

$\frac{V'}{A'}=\frac{\frac{2}{3}\pi r^3}{3\pi r^2}=\frac{2}{9}r$

6 0

3 years ago

Paul purchased 3 video games for $17.25 each. Which expression is the best choice to help him determine the total amount of mone

amid [387]

(3)(17.25) = 51.75; he spent $51.75

Because everything in the problem is positive, no negative numbers are needed.

8 0

3 years ago

Read 2 more answers

The probability of randomly selecting a female from a group of 25 elementary school teachers is . Which of the following describ

nirvana33 [79]

Answer:

it is likely that a female will be picked

Step-by-step explanation:

the probability of selecting a female = 21/25....or 84%

7 0

3 years ago

What is 2y/10x equals.

andrew11 [14]

Answer:

$\frac{2y}{10x} = \frac{y}{5x}$

Good luck!

Intelligent Muslim,

From Uzbekistan.

7 0

3 years ago