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.
<u>Solution and Explanation:</u>
GDP is calculated as follows:
Y = C + G + I + NX
where
C = Consumption
G = Government Expenditure
I = Investment
NX = Net Exports
It is mentioned that in 2015, GDP was 50 million and in 2016, it was 48 million without any change in the factors except NX. It means the net exports that is the difference between export and the import of the country has changed and it has fallen by 2 million.
Decrease assets, decrease liabilities. Accounts payable are what the business owes (liabilities). By paying off accounts payable, the liabilities are decreasing (they owe less) and the assets are also decreasing (because they use assets/cash to pay off the liabilities, so they have less now).
Hope that helps
Answer:
C) democratic reforms
Explanation:
One of the things I remember when I was a little kid was watching action movies with my father and many of them had a common hero, an American soldier or spy (and James Bond even though he is British), and a common enemy, the Soviet Union or some other communist country.
That was very in the late 80s and early 90s, and probably much earlier. The world was divided into two sides, the side that favored liberty and freedom (the US) and the communist evil nations.
In economic terms, communism and command economies meant that the government controlled most of a country's resources. This had a negative effect in that only politicians and their allies lived well and were rich, while the rest of the population was poor.
But then president Reagan and premier Gorbachev got together and decided that it was time for all the nonsense to stop, and the Berlin Wall fell, the Soviet Union split up and luckily for all (except James Bond and other heroes), communism ended.
The fall of communist led to democratic and capitalistic reforms.