Answer:
The volume of the cart will be 24 ft^3
Step-by-step explanation:
The first thing we need to calculate for this question is the number of boxes that fill the entire cart.
A layer of boxes consists of 8 boxes.
The cart holds a maximum of 3 layers of boxes.
So, the total number of boxes held by the cart are:
Total boxes = number of layers * boxes per layer
Total boxes = 3 * 8
Total boxes = 24
Since each box has a volume of one cubic foot, the total volume of the cart will be:
Volume of cart = number of boxes * volume of each box
Volume of cart = 24 * 1
Volume of cart = 24 ft^3
Answer:
The ending cash balance is $12,800
Step-by-step explanation:
This is an addition and subtraction problem. We begin with the initial cash balance of $6,800. Next we are <u>"provided"</u> cash from various activities of $37,000. Based on the word used we can tell that this means we have to <em>add </em>this to our initial balance like so,
Now our balance is $43,000. Next we are told that Net Cash <u>"used"</u> in investing activities is $13,600 and <u>"used"</u> in financing activities is $17,400. Based on this word we can tell that this money is being <em>subtracted</em> from our balance.
Finally, we can see that the ending cash balance is $12,800
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Answer:
-740
Step-by-step explanation:
18-72 equals -74
now -74 *10 equals-740
-279936 if you want to check it the best way is to do it on a calculator <span />
a. R\p = (10 - q)*2
The inverse demand function is just the inverse function of the demand function. In other words, we just have to isolate p in the demand function:
p = (10 - q)*2
b. R\25
The price for 5 units of output is given by the inverse demand function:
p = (10 - 5)*2 = 10
We replace p in the profit function:
π(q) = 10 * 5 - 5² = 25
c. 3
For this one, we replace the inverse demand function in the profit function and derivate for q, then equate to 0 and solve:
π(q) = ((10 - q)*2)*q - q² = 20q - 2q² - q² = 20q - 3q²
dπ/dq = 20 - 6*q
20 - 6q = 0
q = 20/6 = 3.33333
Now, a decimal level of output makes no sense. So, now we try the nearest integers 3 and 4, and find the respectives profits. The output that has that maximum profit will be the one that maximizes the profit. Keep in mind, that this will only be true in this particular case because the profit function has the form of a quadratic equation:
π(3) = 20 * 3 - 3*(3)² = 33
π(4) = 20 * 4 - 3*(4)² = 32
The answer is 3.
