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: Spreadsheets
Explanation: Spreadsheets allow you to
foresee and edit data, while also seeing
the past data to help towards ones
future business goals.
Answer:
- The corporation survives even if managers are dismissed.
- Shareholders can sell their holdings without disrupting the business.
Explanation:
Large corporations are not as easy to dissolve as other types of companies because they have other resources that are able to keep them going if they lose some. One of those resources could be a manager. Should a manager be dismissed, the corporation will survive and simply replaced the dismissed manager.
Also with such corporations, the shareholders can simply sell their shares and the business's operation will not be disrupted as the shareholders do not have any direct say over the day to day running of the business.
Trading or Marketing guides/instructions
Answer:
Sam change: -5.13%
Dave change -18.01%
Explanation:
If interest rate increase by 2%
then the YTM of the bond will be 9.3%
We need eto calcualte the present value of the coupon and maturity of the bond at this new rate:
<em><u>For the coupon payment we use the formula for ordinary annuity</u></em>
Coupon payment: 1,000 x 7.3% / 2 payment per year: 36.50
time 6 (3 years x 2 payment per year)
YTM seiannual: 0.0465 (9.3% annual /2 = 4.65% semiannual)
PV $187.3546
<u><em>For the maturity we calculate usign the lump sum formula:</em></u>
Maturity: $ 1,000.00
time: 6 payment
rate: 0.0465
PV 761.32
Now, we add both together:
PV coupon $187.3546 + PV maturity $761.3154 = $948.6700
now we calcualte the change in percentage:
948.67/1,000 - 1 = -0.051330026 = -5.13
For Dave we do the same:
C 36.50
time 40
rate 0.0465
PV $657.5166
Maturity 1,000.00
time 40.00
rate 0.0465
PV 162.34
PV c $657.5166
PV m $162.3419
Total $819.8585
Change:
819.86 / 1,000 - 1 = -0.180141521 = -18.01%
