Answer:
v(t) = (2t + 1)i + 3t²j + 4t³k
r(t) = (t² + t)i + (t³ + 7)j + (t⁴ - 4)k
Explanation:
a(t) = 2i + 6tj + 12t²k
v(t) = ∫a(t)dt
= ∫(2i + 6tj + 12t²k)dt
= 2ti + (6t²/2)j + (12t³/3)k + c
= 2ti + 3t²j + 4t³k + c
v(0) = i
i = 0i + 0j + 0k + c
c = i
∴ v(t) = 2ti + 3t²j + 4t³k + i
v(t) = (2t + 1)i + 3t²j + 4t³k
r(t) = ∫ v(t)dt
= i ∫ (2t + 1)dt + 3j ∫ t²dt + 4k ∫ t³dt
= i (2t²/2 + t) + 3j(t³/3) + 4k(t⁴/4) + d
= i (t² + t) + jt³ + t⁴k + d
r(0) = 7j - 4k
0i + 0j + 0k + d = 7j - 4k
d = 7j - 4k
∴ r(t) = (t² + t)i + t³j + t⁴k + 7j - 4k
r(t) = (t² + t)i + (t³ + 7)j + (t⁴ - 4)k
The answer to this question is that federal express has a core competence. Core competence is the main strenghts or advantages of a business or the company in order for them to become competitive in the market. The concept of Core competency was introduced by Gary Hamel and Prahalad. Core competency is what the business or company can do to their customers and their expertise that is unique that can be valued by the customers.
Look at the audience
and be confidents
Answer:
The ESL is 5 years and annual worth is $143,711
Explanation:
If negative values are not allowed, you can enter 143,711 as the annual worth
- DF = Discounting factors are calculated by using the formula 1/1.14.
- CF = cash flows. 3500 is added on annual basis from 3rd year, since the increase is per year.
- Fifth year CF = 45000 is obtained as - 97500 + salvage value ( 210000 * 25%) 52500 = 45000.
- AWF = Annual worth factor is obtained by dividing each year DF with the Total of DF.
- In the last step we multiply CF and AWF to get equivalent annual worth.
Use the following formula:
AW = - 210000 / PVIFA - 87000 [ PV(1)/PVIFA] - 87000 [ PV(2) / PVIFA] - 90500 [ PV(3) / PVIFA] - 94000 [ PV(4) / PVIFA] - 45000 [ PV(5) / PVIFA].
