A company has a monthly profit, or gain, of $6,400. The next month they have a loss of $4,700.
2 answers:
Answer:
Step-by-step explanation:
Given,
The profit in present month = $ 6,400,
Also, there is a loss of $ 4,700 in the next month,
So, the profit in the next month = -$ 4,700,
Note : Negative sign shows the loss.
Hence, the difference in profit between the two months
= Profit in present month - profit in next month
Which is the required expression.
You might be interested in
Answer:
Step-by-step explanation:
Firstly, move over the negative 3/4 fraction (don't forget to swap the operation i.e subtract to add):
Now, to add the two fractions, simply multiply the numerator and denominator by 3:
Now add this to the other fraction:
This can be simplified down by dividing both the numerator and denominator by 4:
Which now simplifies the original equation to:
Remove the y out of the fraction:
Now multiply both sides by 8:
Hope this helps!
Answer:
The square-based box with the greatest volume under the condition that the sum of length, width, and heigth does not exceed 174 in is a cube with each edge of 58 in and a volume of
Step-by-step explanation:
For this problem we have two constraints, that are as follows:
1) Sum of length, width, and heigth not exceeding 174 in
2) Lenght and width have the same measure (square-based box)
We know that volume is equal to the product of all three edges, and with the two conditions into account we have the next function:
The interval of interest of the objective function is [0, 87]
This problem requieres that we maximize the function that defines the volume. We start calculating the derivative of the function, wich is:
We need to remember that the derivative of a function represents the slope of said function at a given point. The maximum value of the function will have a slope equal to zero.
So we find the value in wich the derivative equals zero:
The first value () will leave us with a 'height-only box', so the answer must be
The value is between the interval of interest.
And, once we solve for the constraints, we have that:
Lenght = Width = Heigth = 58 in
Volume =