Answer:
a. radius = 0.0006m = 0.6mm and length =0.393m = 393mm
b. frequency =377.86Hz
Explanation:
Given:
mass of steel= 4g = 0.004kg
density of steel = 7890kg/m3
tensile stress of steel 7.0x10⁸
tension load =900N
from the density, we will calculate for the Volume of the steel string
density = mass/volume
volume = mass/density = 0.004/7890 = 5.07 x 10⁻⁷ m³
from the tensile stress will can get the maximum base Area of the string ,
tensile stress = load/area =
7x10⁸ = 900/A
A = 900/7x10⁸ = 1.29x10⁻⁶ m²
Area = πr²
area/pi = 4.105x10-7
radius = 0.0006m = 0.6mm
volume = Area x length
length = vol/area =(5.07 x 10⁻⁷ m³)/1.29x10⁻⁶ m² = 0.393m
b. the highest possible frequency is given by:
F = 
where T= tension, m=mass, L=length
F = 
= 297.04/0.786
frequency =377.86Hz
Answer:
4,800 bottles
Explanation:
The formula to compute the number of bottles sold is shown below:
= (Fixed cost + target profit) ÷ (Contribution margin per unit)
where,
Contribution margin per unit = Selling price per unit - Variable expense per unit
= $15 - $13.50
= $1.50
So, the number of bottles sold equal to
= ($3,200 + $4,000) ÷ ($1.50)
= 4,800 bottles
Customer feedback and Strategic Themes are two inputs to the solution vision.
A high-level architectural plan that addresses present company needs is a solution vision. These requirements include the architectural layer changes. As modifications in architecture are never the intended goal alone, it always has business benefit.
The Vision provides a summary of the developed Solution's potential future state. It reflects the features and capabilities that have been offered to address the needs of customers and stakeholders.
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Answer:
a. ROE (r) = 13% = 0.13
EPS = $3.60
Expected dividend (D1) = 50% x $3.60 = $1.80
Plowback ratio (b) = 50% = 0.50
Cost of equity (ke) = 12% = 0.12
Growth rate = r x b
Growth rate = 0.13 x 0.50 = 0.065
Po= D1/Ke-g
Po = $1.80/0.12-0.065
Po = $1.80/0.055
Po = $32.73
P/E ratio = <u>Current market price per share</u>
Earnings per share
P/E ratio = <u>$32.73</u>
$3.60
P/E ratio = 9.09
b. ER(S) = Rf + β(Rm - Rf)
ER(S) = 5 + 1.2(13 - 5)
ER(S) = 5 + 9.6
ER(S) = 14.6%
Explanation:
In the first part of the question, there is need to calculate the expected dividend, which is dividend pay-our ratio of 50% multiplied by earnings per share. We also need to calculate the growth rate, which is plowback ratio multiplied by ROE. Then, we will calculate the current market price, which equals expected dividend divided by the difference between return on stock (Ke) and growth rate. Finally, the price-earnings ratio is calculated as current market price per share divided by earnings per share.
In the second part of the question, Cost of equity (return on stock) is a function of risk-free rate plus beta multiplied by market risk-premium. Market risk premium is market return minus risk-free rate.
