Answer with Step-by-step explanation:
Since we have given that
q = 896-20p
p = $32
.(A) Calculate the price elasticity of demand
As we know that
(B) The demand is going down with increase in 15 increase in price at that price level, as we know that there is inverse relationship between price and quantity demanded.
(C) Also, calculate the price that gives a maximum weekly revenue.
We first find the first derivative:
So, it becomes,
R=-40<0, so, it will give maximum revenue.
(D) Find this maximum revenue.
Maximum revenue would be 
Answer:
81 times the original size
Step-by-step explanation:
AA0ktA=3A0=?=?=25hours=A0ekt
Substitute the values in the formula.
3A0=A0ek⋅25
Solve for k. Divide each side by A0.
3A0A0=e25k
Take the natural log of each side.
ln3=lne25k
Use the power property.
ln3=25klne
Simplify.
ln3=25k
Divide each side by 25.
ln325=k
Approximate the answer.
k≈0.044
We use this rate of growth to predict the number of bacteria there will be in 100 hours.
AA0ktA=3A0=?=ln325=100hours=A0ekt
Substitute in the values.
A=A0eln325⋅100
Evaluate.
A=81A0
At this rate of growth, we can expect the population to be 81 times as large as the original population.
G `( x ) =
2 + k x = 0
k x = -2
k = -2: x = - 2 : 2/3 = - 2 * 3/2
k = - 3Answer:
for k= - 3, the function g ( x ) have a critical point at x = 2/3.
Answer:
11.2777778 feet (11 feet 321⁄64 inches)
Step-by-step explanation:
