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:
The correct answer is 4.05%.
Explanation:
According to the scenario, the given data are as follows:
Spot rate = $1.73
Expected spot rate after 1 year = $1.66
So, we can calculate the depreciation percentage by using the following formula:
Expected Depreciation = (Expected spot rate after 1 year - Spot rate) / Spot rate
So, by putting the value
= ($1.66 – $1.73) / $1.73
= - $0.07 / $1.73
= - 4.05%
Hence, the depreciation percentage is 4.05%.
Answer:
Country
- c. B had the higher level of real GDP and Country A had the higher level of real GDP per person
Explanation:
Country A's population 2,000, worked 1,300 with 8 hours a day with a productivity of 5 = 52,000 units of something produced. GDP per capita = 52,000 / 2,000 = <u>26 per capita</u>
Country B's population 2,500, worked 1,700 with 8 hours a day with a productivity of 4 = <u>54,400 units</u> of something produced. GDP per capita = 54,400 / 2,500 = 21.76 per capita
Answer:
It is $30,000(C)
Explanation:
Depreciable cost = $90,000
Using straight-line method,
Annual depreciation = $90,000/3
= $30,000.
Hence, depreciation expense at the final year of service is $30,000
We cannot make use of entire cost of equipment of $120,000 because it seemed the company wanted to sell its scrap value for $30,000. Hence, this has been used to reduced it cost to $90,000 which is a depreciable cost .
Answer:
I think one is borrowers who don't pay back
Then I think that interest rates falling is also one
These are the only ones I can think of. hope they help