Answer:
$720
Step-by-step explanation:
Given the following functions
Cost function C(x)=50x+400
Revenue function R(x)=80x-0.05x^2
P(x)=R(x)−C(x).
Profit function P(x) = 80x-0.05x^2 - (50x+400)
P(x) = 80x-0.05x^2 - 50x - 400
Substitute x = 40
P(40) = 80(40)-0.05(40)^2 - 50(40) - 400
P(40) = 3200-80-2000-400
P(40) =3200-2480
P(40) = 720
Hence the amount of profit made is $720
Answer:
y - 12 = -3 (x - 6)
y = -3x +6
6 minutes
The delivery times decreased by 3 minutes each day
Step-by-step explanation:
Point Slope:
Let's pick a point first (6,12)
The Slope of the line is -3
y - y1 = m (x - x1)
y - 12 = -3 (x - 6)
Slope-intercept:
The y-intercept is not shown on the graph but we can turn the point slope form of the equation to slope-intercept
y - 12 = -3x + 18
y = -3x +6
y-intercept:
y = mx + b
y = -3x + 6
m = 6
6 minutes
Slope:
we already know the slope is 3
The delivery times decreased by 3 minutes each day
Answer:
27
Step-by-step explanation:
it's a lager number so it's greater
Answer:
knowing that sin(60)=0.866, what is cos(30)
Step-by-step explanation:
Cos 30 = 8.66
Answer:
Area of Rectangle = 
Step-by-step explanation:
Rectangle two vertices lie on x axis ; two vertices lie on parabola 
.
Supposing coordinates of upper right vertex of rectangle are P = 
Due to parabola symmetry, width of rectangle is twice the distance horizontal (X) axis distance between Y axis & point P.
Width of rectangle = 
Length of rectangle = 
;
Area of Rectangle = Length x Width
= 
= 
=
