Answer:
49
Step-by-step explanation:
Because the volume of a rectangular prism is 
, where l is length, w is width, and h is height, then 
. Dividing both sides by 4, we have 
. Dividing both sides by 4 again, we have 
. Now, dividing both sides by 11, we have 
Answer:
D)
Step-by-step explanation:
That isosceles triangle has just one line of symmetry.
Answer:
17) MC(x) = 35 − 12/x²
18) R(x) = -0.05x² + 80x
Step-by-step explanation:
17) The marginal average cost function (MC) is the derivative of the average cost function (AC).
AC(x) = C(x) / x
MC(x) = d/dx AC(x)
First, find the average cost function:
AC(x) = C(x) / x
AC(x) = (5x + 3)(7x + 4) / x
AC(x) = (35x² + 41x + 12) / x
AC(x) = 35x + 41 + 12/x
Now find the marginal average cost function:
MC(x) = d/dx AC(x)
MC(x) = 35 − 12/x²
18) x is the demand, and p(x) is the price at that demand. Assuming the equation is linear, let's use the points to find the slope:
m = (40 − 50) / (800 − 600)
m = -0.05
Use point-slope form to find the equation of the line:
p(x) − 50 = -0.05 (x − 600)
p(x) − 50 = -0.05x + 30
p(x) = -0.05x + 80
The revenue is the product of price and demand:
R(x) = x p(x)
R(x) = x (-0.05x + 80)
R(x) = -0.05x² + 80x
The population of mastertown is 23,000 in 2012.
Assume that the increase of the population has a rate of 2% increase annually. Writing an equation model will help us find the number of population in the coming years. Here is the equation model using the geometric sequence formula.
An = A1 * r^(n-1)
Population = starting population 2012 * 0.02^[(year - 2012) - 1]
