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: D
Explanation: Quarter Inc. cannot be legally charged because as a foreign entity, it is exempt from prosecution based on sovereign immunity. Once the defendant establishes that it is a foreign state, for the lawsuit to proceed, the plaintiff must prove that one of the Act's exceptions to immunity apply.
The given statement is true.
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24% will be the tax bracket for her. The marginal tax rate is the tax rate you pay on every dollar of additional income. Individuals' federal marginal tax rate in the United States rises as their income rises. As one's income rises, the last dollar earned is taxed at a higher rate than the first.
This method of taxation, known as progressive taxation, aims to tax individuals based on their earnings, with low-income earners paying a lower rate than higher-income earners. Under a marginal tax rate, taxpayers are typically divided into tax brackets or ranges, which determine the rate applied to the tax filer's taxable income.
However, how much of an individual's income is taxed depends on more factors than just their marginal tax bracket. Instead, income taxes are calculated progressively, with a range of income levels subject to a certain rate for each bracket.
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