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:
$26,125
Explanation:
[($25,000 x 0.005) x 9 + $25,000]
=$26,125
Zach owe $26,125 as of December 31, 2019 because he did not fail to file - he failed to pay. Hence he owes the 0.5% per month or part of a month failure to pay penalty plus the already outstanding tax amount of $25,000 that he owed.
Answer and Explanation:
The vertical analysis is presented below:
Comparative Balance Sheet
<u>Particulars Dec 31, 2020 Percentage Dec 31, 2019 Percentage
</u>
(a) [(a) ÷ $3200000] × 100 (b) [(b) ÷ $3000000] ×100
Accounts
receivables $400,000 12.5% $400,000 13.3%
Inventory $864,000 27.0% $600,000 20.0%
Total Assets $3,200,000 100.0% $3,000,000 100.0%
