Values which are proportional are represented by the Greek letter ‘Alpha’
So if A is proportional to B
We put the Alpha symbol between A and B to represent it
The total revenue that is gained from the sales of the cakes is determined by multiplying the number of cakes by the price. If we let x be the number of $1 that should be deducted from the price and y be the total revenue,
y = (25 - x)(100 + 5x)
Simplifying,
y = 2500 + 25x - 5x²
We get the value of x that will give us the maximum revenue by differentiating the equation and equating the differential to zero.
dy/dx = 0 = 25 - 10x
The value of x is 2.5.
The price of the cake should be 25 - 2.5 = 22.5.
Thus, the price of the cake that will give the maximum potential revenue is $22.5.
You just solve it like a normal multiplication problem and then start putting the decimal begin the answer and place it 3 numbers forward
Answer:
Step-by-step explanation:
Tiger Algebra gives you not only the answers, but also the complete step by step method for solving your equations 4x^2-2=38 so that you ... Step 2 : Step 3 :Pulling out like terms. 3.1 Pull out like factors : 4x2 - 40 = 4 • (x2 - 10) ... x2 = 10. When two things are equal, their square roots are equal.
The average rate of change (m) is the ratio of the change in function value to the width of the interval:
m = (f(6) - f(2))/(6 - 2)
To compute this, we need to compute f(6) and f(2).
f(6) = (0.25*6 -0.5)*6 +3.5 = 9.5
f(2) = (0.25*2 - 0.5)*2 +3.5 = 3.5
Then the average rate of change is
m = (9.5 - 3.5)/(6 - 2) = 6/4 = 1.5
The average rate of change is 1.5 thousand owners per year.
