<u>Answer:</u>
<u>20,000 packages.</u>
<u>Step-by-step explanation:</u>
The rest of the question is as following:
If x represents the number of packages of dog treats, how many packages do they have to sell to break even? Round your answer to the nearest whole number, and do not include units.
=========================================
The function of fixed and variable costs ⇒ C(x) = 1.4x + 2000
The function of revenue ⇒ R(x) = 1.5x
The even situation will happen when costs = revenue
∴ C(x) = R(x)
∴ 1.4 x + 2000 = 1.5x
Solve for x:
∴ 1.5x - 1.4x = 2000
∴ 0.1 x = 2000
∴ x = 2000/0.1 = 20,000
The even will happen when they sell <u>20,000</u> packages
So, To break even, they have to sell more than 20,000 packages .
Answer:
Step-by-step explanation:
36. (4,1)
x-axis(4,-1)
y-axis(-4,1)
37.(-2,3)
x-axis(2,-3)
y-axis(-2,3)
38.(2,-5)
x-axis(-2,5)
y-axis(2,-5)
39.(-3.5, -2.5)
x-axis(-3.5,2.5)
y-axis(3.5,-2.5)
Please correct me I am wrong
Here is the y-axis formula (-x,y)
Here is the x-axis formula(x,-y)
Answer:
(h o k) (3) = 3
(k o h) (-4b) = -4b
Step-by-step explanation:
An inverse function is the opposite of a function. An easy way to find inverse functions is to treat the evaluator like another variable, then solve for the input variable in terms of the evaluator. One property of inverse functions is that when one finds the composition of inverse functions, the result is the input value, no matter the order in which one uses the functions in the combination. This is because all terms in a function and their inverse cancel each other and the result is the input. Thus, when one multiplies two functions that are inverse of each other, no matter the input, the output will always be the input value.
This holds true in this case, it is given that (h) and (k) are inverses. While one is not given the actual function, one knows that the composition of the functions (h) and (k) will result in the input variable. Therefore, even though different numbers are being evaluated in the composition, the output will always be the input.
Answer:
The rate at which Perimeter of the square is increasing is 
.
Step-by-step explanation:
Given:
Circumference of the circle = 
Rate of change of in circumference = 6 in/secs
We need to find the rate at which the perimeter of the square is increasing
Solution:
Now we know that;
Now we know that;
side of the square= diameter of the circle
side of the square = 
Now Perimeter of the square is given by 4 times length of the side.
Now we need to find the rate at which Perimeter is increasing so we will find the derivative of perimeter.
But 
So we get;
Hence The rate at which Perimeter of the square is increasing is .
