Depending on your use of marketing and sales as complementary or subordinate functions, you can create a management structure that ensures no important duties fall through the cracks.
Answer:
Line
Explanation:.In these type of organizations, a supervisor exercises direct supervision over a subordinate. Also, authority comes from the top-most person in the organization to the lowest ranked worker in these organizations.
Answer:
The money should be invested in bank = $137,639.05
Explanation:
Given annually withdrawal money (annuity ) = $12000
Number of years (n ) = 20 years
Interest rate = 6 percent.
Since a person withdraw money annually for next 20 years with 6 percent interest rate. Now we have to calculate the amount that have been invested in the account today. So below is the calculation for invested money.
![\text{Present value of annuity} = \frac{Annuity [1-(1 + r)^{-n}]}{rate} \\= \frac{12000 [1-(1 + 0.06)^{-20}]}{0.06} \\=12000 \times 11.46992122 \\=137,639.05](https://tex.z-dn.net/?f=%5Ctext%7BPresent%20value%20of%20annuity%7D%20%3D%20%5Cfrac%7BAnnuity%20%5B1-%281%20%2B%20r%29%5E%7B-n%7D%5D%7D%7Brate%7D%20%5C%5C%3D%20%5Cfrac%7B12000%20%5B1-%281%20%2B%200.06%29%5E%7B-20%7D%5D%7D%7B0.06%7D%20%5C%5C%3D12000%20%5Ctimes%2011.46992122%20%5C%5C%3D137%2C639.05)
Answer:
0.98
Explanation:
Computation for Bill Duke portfolio's beta
First step is to find the Investment in Y which is:
Investment in Y=100,000-35,000
=$65,000
Second step is to calculate for the Portfolio beta using this formula
Portfolio beta=Respective beta*Respective Investment weight
Portfolio beta =(35,000/100,000*1.5)+(65,000/100,000*0.7)
Portfolio beta=(0.35*1.5) +(0.65*0.7)
Portfolio beta =0.525 +0.455
Portfolio beta=0.98
Therefore the Portfolio Beta will be 0.98
