Answer and Explanation:
a. The computation of depreciation for each of the first two years by the straight-line method is shown below:-
Depreciation
= (Assets cost - Salvage value) ÷ Useful life
= ($171,000 - 0) ÷ 25
= $6,840
For First year = $6,840
For Second year = $6,840
It would be the same for the remaining useful life
b. The computation of depreciation for each of the first two years by the double-declining-balance method is shown below:-
First we have to determine the depreciation rate which is shown below:
= One ÷ useful life
= 1 ÷ 25
= 4%
Now the rate is double So, 8%
In year 1, the original cost is $171,000, so the depreciation is $13,680 after applying the 8% depreciation rate
And, in year 2, the ($171,000 - $13,680) × 8% = $12,585.60
Answer: ke = D1/Po + g
0.1025 = D1/57.50 + 0.06
0.1025-0.06 = D1/57.50
0.0425 = D1/57.50
D1 = 0.0425 x 57.50
D1 = $2.444
Explanation: Cost of equity is equal to dividend in 1 year's time divided by the current market price plus the growth rate. Other variables were provided in the question except the dividend at the end of the year (D1).
Thus, D1 becomes the subject of the formula. The appropriate cost of equity is $2.44. The correct answer is B.
Answer:
Rp = 3% + BP1 * 10.42% + BP2 * 6.1%
Explanation:
Portfolio A:
R_p = R_f + Beta1*Factor1 + Beta2*Factor2
32% = 3% + 1.6*F1 + 2*F2
Portfolio B
29% = 3% + 2.6*F1 - 0.2*F2
Solvig the equatios
3% = -F1 + 2.2*F2
F1 = 2.2F2 - 3%
F1 = 2.2F2 - 0.03
Substituting
29% = 3% + 2.6*(2.2F2 - 0.03) - 0.2F2
29% = 3% + 5.72F2 - 0.078 - 0.2F2
5.52F2 = 29% - 3% +0.078
5.52F2 = 0.26 +0.078
5.52F2= 0.338
F2 = 0.338/5.52 = 0.061
F1 = 2.2F2 - 0.03 = 2.2(0.061) - 0.03
= 0.1042
The return Beta relationship in this economy Rp = 3% + BP1 * 10.42% + BP2 * 6.1%
For volume and lift in a blow dry style, a round brush can be used.
Answer:
a. How long will the current bridge system work before a new bracing system is required?: 64.18 years or 64 years and 2 months.
b. What if the annual traffic rate increases at 8 % annually: The bracing system will last for 24.65 years or 24 years and 7 months.
c. At what traffic increase rate will the current system last only 12 years: 17.13%
Explanation:
a. Denote x is the time taken for the number of pedestrian to grow from 300 to 2000. The current pedestrian is 300, the grow rate per year is 3% or 1.03 times a year. Thus, to reach 2,000, we have the equation: 300 x 1.03^x = 2000. Show the equate, we have 1.03^x = 6.67 <=> x = 64.18
b. Denote x is the time taken for the number of pedestrian to grow from 300 to 2000. The current pedestrian is 300, the grow rate per year is 8% or 1.08 times a year. Thus, to reach 2,000, we have the equation: 300 x 1.08^x = 2000. Show the equate, we have 1.08^x = 6.67 <=> x = 24.65.
c. Denote x as traffic increase rate. The current pedestrian is 300, the grow rate per year is (1+x) times a year. Thus, to reach 2,000 after 12 years and thus a new bracing system to be in place, we have the equation: 300 x (1+x)^12 = 2000. Show the equate, we have (1+x)^12 = 6.67 <=> 1+x = 1.1713 <=> x = 17.13%.
