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Leokris [45]
3 years ago
14

The assets of Big Baller Brand consists entirely of current assets and net plant equipment. The firm has total assets of $3.5 mi

llion and the net plant equipment equals $2.75 million. It has notes payable of $350,000, long term debt of $825,000 and total common equity of $2 million. The firm does have accounts payable and accruals on its balance sheet. The firm only finances with debt and common equity, so it has no preferred stock on its balance sheet. a. What is the company's total debt? b. What is the amount of the liabilities and equity that appear on the firm's balance sheet? c. What is the balance of current assets on the firm's balance sheet? d. What is the balance of the current liabilities on the firm's balance sheet? e. What is the firm's net working capital? f. What is the firm's operating working capital? g. What is the amount of accounts payable and accruals on its balance sheet?
Mathematics
1 answer:
lana [24]3 years ago
7 0

Answer:

a. $825,000

b. $1,175,000

c. $750,000

d. $350,000

e. $3,150,000

f. $2,675,000

g. Accounts payable and accruals

Step-by-step explanation:

a. Total debt is long term debt $825,000

b. The amount of liability apearing on balance sheet is $1,175,000 ($825,000 + $350,000)

The amount of equity appearing in balance sheet is $2,000,000

c. Current Assets balance on the balance sheet is $750,000 ($3.5m - $2.75m)

the difference of total assets and net plant equipment.

d. Current liabilities to be reported on the balance sheet is $350,000 and the amount of accounts payable and other payable.

e. Net working capital is calculated by taking total assets and then deducting current liabilities from it. $3,150,000 ($3500,000 - $350,000)

f. Operating working capital is calculated by subtracting total liablities from total assets. $2,675,000 ($3,500,000 - $825,000)

g. The amount of accounts payable and accruals is not provided in the question the amount will be reported in the balance sheet.

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Answer: Choice B) between 6:48 AM and 5:12 PM

=========================================================

Explanation:

I've seen this problem before, and the first part states that if the temperature is above 25 degrees C, then the air conditioner turns on to start cooling the castle.

We want to find values of t that satisfy f(t) > 25

This is the same as trying to solve f(t) - 25 > 0

So we have,

f(t) = 24 - 5\cos\left(\frac{\pi}{12}t\right)\\\\   f(t)-25 = 24 - 5\cos\left(\frac{\pi}{12}t\right)-25\\\\   f(t)-25 = -1 - 5\cos\left(\frac{\pi}{12}t\right)\\\\   f(t)-25 > 0\\\\ -1 - 5\cos\left(\frac{\pi}{12}t\right) > 0\\\\

To solve this inequality, we can graph using Desmos as I've done so below. See the attached image.

Note how I used x in place of t. This is because the graphing calculator graphs (x,y) coordinates.

Furthermore, note how I marked the two points (6.769, 0) and (17.231, 0)

Between these two points is when the curve is above the x axis, when f(t) > 25 is true. This is when the temperature is above 25 degrees C, and when the air conditioner is working.

When t = 6.769, this means that roughly 6.769 hours have passed since midnight which means we're somewhere between 6 am and 7 am. The only value that works from the answer choices is 6:48 AM.

Note how 0.769*60 = 46.14 is fairly close to 48. This error is likely due to how things are rounded.

Then focusing on the point  (17.231, 0) means that t = 17.231. So 17.231 hours have elapsed since midnight and we're now at roughly 1700 hours

1700 hours in military time = 17-12 = 5 pm

The time value t = 17.231 is between 5 pm and 6 pm. The only thing that works is 5:12 pm.

We can then note how 0.231*60 = 13.86 which is also probably due to rounding error (it's fairly close to 12 though).

--------------------------

In short, we found the function for f(t)-25 and graphed it as shown below. The two points (6.769, 0) and (17.231, 0) help us see when the AC is turned on, which is roughly between 6:48 AM and 5:12 PM. This seems like a reasonable time for the AC to be operational. Something like between 5:12 PM and 6:48 AM seems like a bad idea because the AC would be working mostly at night, instead of during the day.

Anything beyond t = 24 represents the next day, which is when the cycle starts all over again. So we only need to focus on the window from t = 0 to t = 24. Specifically, the portion of the f(t)-25 curve that is above the x axis.

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