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.
<span>If the MPC is 0.70 and investment increases by $3 billion, the equilibrium GDP will increase by $10 billion.
The GDP is the Gross Domestic Product and the MPC is the marginal propensity to consume. The MPC tracks that a raise in pay will increase consumers spending on goods and services. If there is an increase in spending budget, then the GDP will increase because of more spending power.
</span>
Answer:
Total Return = 10.45%
Explanation:
To calculate the return, we must first determine the appreciation in the value of the securities in terms of the US dollar.
The initial investment in terms of US dollar was of,
Initial Investment in USD = Investment in Pounds * Exchange rate
Initial Investment in USD = 2340 * 1.52
Initial Investment in USD = $3556.8
The current value of the investment in terms of USD is,
Current value of investment in USD = 2440 * 1.61
Current value of investment in USD = $3928.4
The formula to calculate total return is,
Total Return = (Current Value - Initial Value) / Initial Value
So, the total return based on US dollars was:
Total return = (3928.4 - 3556.8) / 3556.8
Total Return = 0.10447 or 10.447% rounded off to 10.45%
Answer:
The correct answers are:
1. Actor, writer, musician : entertainment.
2. Dietician, optician : health care.
3. Litigator, paralegal, attorney : legal industry
Explanation:
Industries dedicated to consumer service are those whose product is directed directly to a consumer, and not to a company.
The product they offer is a service, and not a material good.
These industries will have professionals or people specialized in the subject who will be in charge of offering and selling this product.
That is what we see in the examples.
The health industry will offer services dedicated to health, therefore it will have professionals dedicated to this field.
The legal industry will have services dedicated to legal issues such as a lawyer, a litigator, etc.
And the entertainment industry will be dedicated to shows, this is where actors, musicians or writers come in.
The missing word in the blank is :
small
hence the completed paragraph is:
The coach is weighing a slightly increased risk of losing against a slightly decreased risk of injury to the star quarterback. this weighing of trade-offs is an example of marginal thinking, because the star quarterback was in for most of the game, and the coach's decision concerns <u><em>small</em></u> shifts in probabilities with the game nearly over.
