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>An outstanding check is a check issued by the payor
and released to the payee that remains to be undeposited or uncashed check at a
certain financial period. When reconciling the bank statements with company
books, an outstanding check is deducted from the unadjusted bank balance to
arrive at the adjusted bank balance. </span>
It is an example of special agency. It enables the bond of the broker and the principle in which they have a contract of having little control of each other and responsibility. These agency are hired by the seller to be able to reach out for others in selling the seller's property, allowing them to do what they are capable of but the seller has only little control of the broker.
Answer:
Effective annual interest rate=0.52%
Explanation:
Step 1: Express the formula for calculating interest
The formula for calculating interest can be expressed as;
I=PRT
where;
P=principal amount borrowed
R=annual interest rate as a percentage
T=number of years
Step 2: Determine the value of the variables P, R and T
In our case;
I=$10
P=(125-10)=$115
R=unknown=r
T=2 months=2/12=1/6 years
replacing in the expression;
10=115×r×(2/12)
10=(230/12)r
r=10×12/230=0.5217
0.5217 rounded off to the nearest 2 decimal places is:
r=0.52%
Effective annual interest rate=0.52%
Answer:
13.86%
Explanation:
Calculation to determine the flotation-adjusted (net) cost of its new common stock
Using this formula
Cost of new common stock(re) = [d1 / stock price (1-flotation cost)] +g
Let plug in the formula
Cost of new common stock(re)= [$1.36 / 33.35 (1 – 0.065)]+0.094
Cost of new common stock(re)= [$1.36 / 33.35 (0.935)]+0.094
Cost of new common stock(re)= [$1.36/31.182)+0.094
Cost of new common stock(re)=0.04361+0.094
Cost of new common stock(re)=0.1376*100
Cost of new common stock(re)=13.76%
Therefore the flotation-adjusted (net) cost of its new common stock will be 13.76%
