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:
<em>Suppose the economy is initially in equilibrium, when a decrease in</em><em> </em><u><em>Savings </em></u><em>decreases total leakages out of the economy. </em>
Savings are considered leakages in the economy because the represent money that is not spent but rather saved.
<em>Which of the following will occur as a result of this change?</em>
<em>GDP rises above planned spending.</em>
Savings reduces spending but as savings have reduced, there will be more spending which is unplanned and so this increase in unplanned spending will make GDP higher than planned spending.
Injections and leakages are equal to each other <u>when real GDP is equal to aggregate expenditure. </u>
Injections and leakages are equal when the output (GDP) and the Aggregate expenditure are the same.
Answer:
$42
Explanation:
APR = 18% , month rate = 18%/12 = 1.5%
Fee for cash advance = 2%
Cash advance of the first day of month = $1,200
Finance charge = Cash advance * (Monthly rate + Advance cash fee)
Finance charge = $1,200*1.5% + $1,200*2%
Finance charge = $18 + $24
Finance charge = $42
So, the approximate total finance charge i will pay on this cash advance for the month is $42
Answer:
D. No loss recognized and a reduction in E&P of $200,000
Explanation:
Given that:
- Current and accumulated E&P : $500,000
- A distribution of land to its sole shareholder: $200,000
- E&P basis to Catamount : $250,000
From that, we can see that the current and accumulated E&P is greater than its distribution of land so no loss would be reported so there will be reduction in earning and profits of the company of $200,000.
Hope it will find you well.
