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
The answer is in the question, X would equal one
Answer:
The perimeter of the triangle 198 cm.
Step-by-step explanation:
Given that,
In a right angled triangle, a and b are the length of the legs and c is length of the hypotenuse.
Pythagorean Theorem:
Sum of square of the legs is equal to square of hypotenuse.
∴a²+b²=c²
a= ?, b= 77 cm and c=85 cm
a²+77²=85²
⇒a²+5929=7225
⇒a²=7225-5929
⇒a²= 1296
⇒a = 36 cm
The perimeter of the triangle = sum of all sides
=a+b+c
=(36+77+85) cm
= 198 cm
Mean: 92.75
Median: <span>94.85
Mode: </span>86.4, 87.2, 95.7, 96.4, 88.1, 94.9, 98.5, 94.8
9514 1404 393
Answer:
(b) 38.5
Step-by-step explanation:
The polygon is a trapezoid with bases 4 and 7 and height 7. Its area is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)(4 +7)(7) = 77/2
A = 38.5 . . . . square units
