Answer:
$192
Step-by-step explanation:
The cost function is given as:
C(x)=18x+240
The price function is given as:
p(x)= 90 - 3x
The revenue R(x) is the product of the price and the number of products. It is given by:
R(x) = xp(x) = x(90 - 3x) = 90x - 3x²
The profit P(x) is the difference between the revenue and the cost of production. Therefore:
P(x) = R(x) - C(x) = 90x - 3x² - (18x + 240) = 90x - 3x² - 18x - 240
P(x) = -3x² + 72x - 240
The standard equation of a quadratic equation is ax² + bx + c. The function has a maximum value at x = -b/2a
Since P(x) = -3x² + 72x - 240, the maximum profit is at:
x = -72/2(-3) = 12
at x = 12, the profit is:
P(12) = -3(12)² + 72(12) - 240 = -432 + 864 - 240 = $192
Answer:
125
Step-by-step explanation:
Add all the angles then subtract by 360.
Answer:
13
Step-by-step explanation:
To find the right answer, do her work in reverse
37 times 2 = 74
74 + 6 = 80
Barbara had started with the number 80
Now do the work the way the teacher asked her to do it
80 - 2 = 78
78 / 6 = 13
Hope this helps!
Draw a perpendicular from the center of the
circle to the midpoint of a side of the triangle.
Now draw a line from the center to the vertex
of that side. You now have a right triangle with
a base angle of 30º, side adjacent to that angle
of 3, and hypotenuse = r, the radius of circle. So,
cos 30º = 3/r, r = 3.46, the diameter
is twice that, 6.92 round to 6.9
Answer:
28.57
Step-by-step explanation:
Square = 4x4=16
two half circles = one whole circle = 2²=12.566
16+12.57=28.57