Answer:
a) 
b) 
c)
Step-by-step explanation:
a)
We know that Revenue is our total income and cost is our total cost. Thus, profit is what's left after cost is subtracted from Income (revenue). Thus, we can say:
P(x) = R(x) - C(x)
Finding Profit Function (P(x)):
This is the profit function.
b)
The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.
Remember the power rule for differentiation shown below:
Now, we differentiate the profit function to get the marginal profit function (P'):
This is the marginal profit function , P'.
c)
We need to find P'(4000) and P'(9500). So we basically put "4000" and "9500" in the marginal profit function's "x". The value is shown below:
and
Answer:
8
Step-by-step explanation:
length = 4
width= 2
4 x 2 = 8
Just count the squares like you would normally do to a rectangle and do the area like you would normally do with a rectangle
Answer:
about 18.85 cubic inches of ice cream can fit inside the cone
Step-by-step explanation:
To understand this, you will need to know the formula for a cone's volume which is
πr^2 times h/3
h being the height of the cone
to clarify the equation is pi (3.14) times the radius squared (which means you put it to the power of 2) and you multiply it by the height divided by 3.
Step by step:
π(1.5)^2 times 8/3
put it in a calculator and solve
round according to the problem
hope it helps
Answer:
59
Step-by-step explanation:
The equation is
944 - 5x = 1180 - 9x
Notice what is being said. You start with 944 gallons and take off 5 per week
You also start with 1180 gallons and take on 9 per week.
You want to know when the two are equal. The second tank is larger, but it leaks more. That's what's going to bring about equality.
Add 9x to both sides
944 - 5x + 9x = 1180
944 + 4x = 1180
Subtract 944 from both sides.
4x = 1180 - 944
4x = 236
Divide by 4
x = 236/4
x = 59 weeks
