Answer: The correct answer is Choice D.
This is an example of an exponential equation. They are in the form of y=ab^x, where a is the starting value, b is the rate and x is the number of years.
Our data starts at 2500 and increases by 5%, or 100% + 5% = 1.05.
If you put them together, you have the equation y = 2500(1.05)^x, Choice D.
Area of larger circle: 3.14 x 5^2 = 78.5
Area of small circle: 3.14 x 2^2 = 12.56
Difference of the 2 areas: 78.5 - 12.56 = 65.94
Probability of being in large circle but not small circle: 65.94 / 78.5 = 0.84 = 84%
The answer is A) 84%
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

Yes. Then the formula of the resultant water will be: 4H₂O
That, means four molecules of water.