The following equation of parabola is given:
p(x)= - 5 x^2 + 240 x - 2475
where p(x) = y
This is a standard form of the parabola. We need to
convert this into vertex form of equation. The equation must be in the form:
y – k = a (x – h)^2
Where h and k are the vertex of the parabola. Therefore,
y = - 5 x^2 + 240 x - 2475
y = -5 (x^2 – 48 x + 495)
Completing the square:
y = -5 (x^2 - 48 x + 495 + _) - (-5)* _
Where the value in the blank _ is = -b/2
Since b = -48 therefore,
y = -5 (x^2 – 48 x + 495 + 81) + 405
y – 405 = -5 (x^2 – 48 x + 576)
y – 405 = -5 (x – 24)^2
Therefore the vertex is at points (24, 405).
The company should make 24 tables per day to attain maximum
profit.
Answer:
b. $325,000
Explanation:
The current assets are the assets that are likely to be converted to cash within 12 months. These include cash, inventory, receivables, prepaid expenses etc.
Given;
Inventory = $84,000,
Long-term Debt = $125.000;
Common Stock $60,000;
Accounts Payable $44,000;
Cash $132,000,
Buildings and Equipment $390,000:
Short-term Debt $48.000:
Accounts Receivable $109,000,
Retained Earnings $204,000 Notes Payable $54.000:
Accumulated Depreciation $180.000
Total current asset = $84,000 + $132,000 + $109,000
= $325,000
Answer:
-3.41%
Explanation:
The computation of the annual rate of return is shown below;
We use the formula:
Future value = Present value × (1 + rate of interest)^number of years
$10,710,500 = $12,738,500 × (1 + rate of interest)^5
($10,710,500 ÷ $12,738,500)^(1 ÷ 5) = (1 + rate of interest)
(1 + rate of interest) = 0.965913622
r = (0.965913622 - 1) × 100
= -3.41%
Answer:
A corporation is to make profit
non-profit coorporation don't have any shareholders, so they serve a different function. Thier focus is on something other than making profit
Answer:
a. less ice cream, less coffee
Explanation:
The percentage change in CPI is given by:
The percentage change in the prices of coffee and ice cream, respectively, are:
Both coffee and ice cream had an increase in price above the CPI increase, which means that both goods are being sold above the equilibrium price and thus their demand is likely to fall.
People likely will buy less ice cream, less coffee
