To answer this item, we take the differential of the equation and equate to zero.
C(x) = 0.8x² - 256x + 25939
Differentiation,
dC(x) = 1.6x - 256
dC(x) = 1.6x - 256 = 0
The value of x from the derived equation above is 160.
Thus, the number of machine to be made in order to minimize the cost should be 160.
Answer:
See explanation
Step-by-step explanation:
(4)
Using the sine ratio in the right triangle
sinΘ = 
= 
, thus
Θ = 
() ≈ 51.1°
(5)
Using the tangent ratio in the right triangle
tanΘ = 
= 
, thus
Θ = 
() ≈ 38.7°
B=bellt price
j=jacket price
b+j=82.78
belt is 0.86 less than jacket
b=j-0.86
add 0.86 to both sides
b+0.86=j
sub
b+b+0.86=82.78
2b+0.86=82.78
minus 0.86 from both sides
2b=81.92
divid both sides by 2
b=40.96
belt=$40.96
In order to fully understand the problem, it is best to sketch it. Sketching the system, we will see that the system forms a triangle where the angle of elevation is 36 degrees. We are asked to find the hypotenuse. We can use a trigonometric function. It should be noted that one of the sides should also be given in order to calculate the hypotenuse. Trigonometric functions that can be used are:
sin(theta) = opposite / hypotenuse
cos(theta) = adjacent / hypotenuse
Answer:
8,333 total population
Step-by-step explanation:
Question can be restated as "5000 is 60% of what number?"
5000 = .6x
x = 5000/0.6
x = 8,333.33
