157.5
$5.75 x 10 = 57.5
$2.25 x 20 = 45
$5.00 x 11 = 55
then you add all them together and you get 157.5
The answer is 15 i believe
For the answer to the question above, I'll provide a solution for my answer below.
x^4 - 41x^2 = - 400
<span>=> x^4 - 41x^2 + 400 = 0 </span>
<span>=> x^2 = (1/2) [41 ±√(1681 - 100)] </span>
<span>=> x^2 = (1/2) (41 ± 9) </span>
<span>=> x^2 = 16 or 25
</span>
So, therefore, the answers for your problem are
<span>=> x = ± 4 or ± 5.
I hope my answer helped you. </span>
Answer:
The vertical distance from the top of the slide go the ground is 24.25 feet
Step-by-step explanation:
Here, we want to calculate the vertical distance from the top of the slide to the ground.
To answer this properly, we shall need the aid of a diagram. Please check the attachment for this;
Mathematically, to calculate this vertical distance, we shall be employing the use of a trigonometric ratio since the shape we are considering is a right-angled triangle
The vertical distance faces the angle given and we can refer to it as the opposite. The length of the slide refers to the hypotenuse
So the trigonometric ratio we are to use will consider the opposite and the hypotenuse
This is the sine
Mathematically sine of an angle = length of the opposite/length of the hypotenuse
let’s call the length of the opposite x
sin 60 = x/28
x = 28 sin 60
x = 24.248 which is 24.25 feet
Step-by-step explanation:
Cost to make the film : $6500
Cost to set up production: $1500
Additional cost to make each video : $4
Additional cost to make n videos : $4n
total cost to make n videos = $6500 + $1500 + $4n = (8000 + 4n) dollars
overall cost to make each video
= total cost to make n videos ÷ n videos
= (8000 + 4n) / n
by definition, in order to "break even", the selling price for each video must be equal to the cost to make each video. i.e
Price, P(n) = (8000 + 4n) / n
Hence,
P(500) = [8000 + 4 (500)] / 500 = (8000 + 2000) / 500 = $20
This means that in order to break even selling 500 DVD's he has to sell each one for $20
