Answer:
The two values of x are 20 and 60
Step-by-step explanation:
Given;
cost function: C = 60x + 300
revenue function: R = 100x − 0.5x²
Profit = R - C
300 = 100x − 0.5x² - ( 60x + 300)
300 = 100x − 0.5x² - 60x - 300
300 + 300 = 100x − 0.5x² - 60x
600 = 40x - 0.5x²
600 = 40x - ¹/₂x²
multiply both sides by 2
1200 = 80x - x²
re-write the equation
80x - x² = 1200
-x² + 80x - 1200 = 0
multiply through by (-1)
x² - 80x + 1200 = 0
factorize the quadratic equation
x² (- 60x - 20x) + 1200 = 0
x² - 60x - 20x + 1200 = 0
x(x - 60) -20(x - 60) = 0
(x - 20)(x - 60) = 0
x - 20 = 0 or x - 60 = 0
x = 20 or 60
Therefore, the two values of x are 20 and 60
Answer:
Step-by-step explanation:
$1165+1068=$2233
$3650-2233=$1417
$1417/3650=0.38821 or .39
so no he does not qualify for a loan at ether
Answer:
530.66 in.²
Step-by-step explanation:
Area of a circle = πr²
In the circle above, the diameter is given. To find the radius, you divide the diameter by 2, i.e.
Radius(r) = 
= 13 in.
∴Area of the circle = 3.14 × 13²
= 3.14 × 169
= 530.66 in.²
Hope this helps :)
Answer:
The correct answer is 20 kg.
Given, Weight (w) = 910 N , g = 10 ms-2
So, mass (m) = (w / g) = 91kg
Important Points
Mass is a measure of the amount of matter in an object.
Mass is always constant.Weight is the force of gravity on an object.
Weight depends on the gravitational force of attraction.
Weight (w) = Mass (m) * Gravitational acceleration (g).
The weight of a body is greater in the pole of the earth than in the equator, because of acceleration of gravity at the poles is 980.665 cm/sec2 while at the equator it is 3.39 cm/sec2 less due to the centrifugal force.
Answer: When x=2 and z = 1, then the value of y =4.
Step-by-step explanation:
Given: y varies directly as x and z i.e. 
(i) , where k is the proportionality constant.
Put Y=40 ,x =5 and z = 4, then we get
Required equation: 
[Put value of k in (i)]
Now put x=2 and z = 1, then we get
Hence, when x=2 and z = 1, then the value of y =4.
