Answer:
a) The instantaneous rate of change of the amount in the account after 3 years = dA/dt = 802.114
b) The instantaneous rate of change of the amount in the account when the amount is equal to $25,000 = dA/dt = 900
Explanation:
The detailed step by step and appropriate derivation is as shown in the attachment
Answer:
The amount of the last annual dividend paid is <u>$4.3</u>.
Explanation:
Given:
The common stock of Zeta Group sells for $42 per share, has a rate of return of 12.2 percent, and a dividend growth rate of 1.8 percent annually.
Now, to find the amount of last annual dividend paid.
Let the amount of last annual dividend paid be ![l.](https://tex.z-dn.net/?f=l.)
Price of per share (
) = ![\$42.](https://tex.z-dn.net/?f=%5C%2442.)
Rate of return (
) = ![12.2\%.](https://tex.z-dn.net/?f=12.2%5C%25.)
Rate of dividend growth (
) = ![1.8\%.](https://tex.z-dn.net/?f=1.8%5C%25.)
Now, to get the amount of last dividend paid we put formula:
![p=\frac{l(1+g)}{r-g}](https://tex.z-dn.net/?f=p%3D%5Cfrac%7Bl%281%2Bg%29%7D%7Br-g%7D)
![42=\frac{l(1+1.8\%)}{12.2\%-1.8\%}](https://tex.z-dn.net/?f=42%3D%5Cfrac%7Bl%281%2B1.8%5C%25%29%7D%7B12.2%5C%25-1.8%5C%25%7D)
![42=\frac{l(1+0.018)}{0.122-0.018}](https://tex.z-dn.net/?f=42%3D%5Cfrac%7Bl%281%2B0.018%29%7D%7B0.122-0.018%7D)
![42=\frac{l\times 1.018}{0.104}](https://tex.z-dn.net/?f=42%3D%5Cfrac%7Bl%5Ctimes%201.018%7D%7B0.104%7D)
<em>Multiplying both sides by 0.104 we get:</em>
<em />
<em />
<em>Dividing both sides by 1.018 we get:</em>
![4.3=l](https://tex.z-dn.net/?f=4.3%3Dl)
![l=\$4.3.](https://tex.z-dn.net/?f=l%3D%5C%244.3.)
Therefore, the amount of the last annual dividend paid is $4.3.
Answer:
B. There is an increase in income and "spring shoes" are a normal good.
Explanation:
To eliminate the disequilibrium in the market for shoes, spring shoes firstly needs to be seen as a normal product because if it is seen an inferior product then as people's Income rises they woudnt want to buy inferior products because they have the income to buy normal products. As people income rises, since spring shoes is seen as a normal product, then people will buy springshoes
The answer to your question is,
Periodically test food for illness causing microorganisms.
-Mabel <3
Answer:
Planning management function
Explanation:
Planning is a management procedure which aims to identify objectives for the long term future of an organization and to determine the tasks and resources required in achieving these objectives. Managers should create a business plan or a marketing plan for achieving objectives.