The answer is B. accurately reflect the change in production.
Answer:
100 items need to be counted each day.
Explanation:
Of the 6,800 items, 544 are A items (0.08 * 6,800), 2,244 are B items (0.33 * 6,800) and 4,012 are C items (0.59 * 6,800). If you want to count every day the same number of items, you have to divide the number of items A, B and C for the days between being counted twice. So, if you have to count each day a number of items A, the amount is 544/19 working days, that is 28.6315789. The same with B (2,244/60 = 37.4) and with C (4,012/118 = 34). Each day, you have to count 28.63 A plus 37.4 B plus 34 C. 28.63+37.4+34=100.03.
Answer:
a.
r = 0.06697 or 6.697% rounded off to 6.70%
b.
r = 0.1202 or 12.02%
Explanation:
a.
Using the constant growth model of dividend discount model, we can calculate the price of the stock today. The DDM values a stock based on the present value of the expected future dividends from the stock. The formula for price today under this model is,
P0 = D0 * (1+g) / (r - g)
Where,
- D0 * (1+g) is dividend expected for the next period /year
- r is the required rate of return or cost of equity
Plugging in the values for P0, D0 and g in the formula, we can calculate the value of r to be,
76 = 0.5 * (1+0.06) / (r - 0.06)
76 * (r - 0.06) = 0.53
76r - 4.56 = 0.53
76r = 0.53 + 4.56
r = 5.09 / 76
r = 0.06697 or 6.697% rounded off to 6.70%
.
Using the CAPM, we can calculate the required/expected rate of return on a stock. This is the minimum return required by the investors to invest in a stock based on its systematic risk, the market's risk premium and the risk free rate.
The formula for required rate of return under CAPM is,
r = rRF + Beta * (rM - rRF)
Where,
rRF is the risk free rate
rM is the market return
r = 0.059 + 1.2 * (0.11 - 0.059)
r = 0.1202 or 12.02%
Answer:
The volume and surface area of the cube is 125 cm³ and 150 cm² respectively.
Explanation:
The expression for the surface area of the cube :
A = 6s²
s is the side of the cube
The expression for the volume of the cube is :
V = s³
We need to find the volume and surface area of the cube.
For surface area : S = 6(5)² = 150 cm²
For volume : V = (5)³ = 125 cm³
Hence, the volume and surface area of the cube is 125 cm³ and 150 cm² respectively.
