Answer:
$58.729
Explanation:
To find the answer, we need to use the present value of an annuity formula.
The formula is:
P = X [(1 - (1 + i)^-n) / i ]
Where X is the annual instalment
P is the present value of the investment (500,000 in this case)(
i is the interest rate (10% in this case)
and n is the number of periods (20 years in this case)
We now plug the amounts into the formula:
500,000 = X [ (1 - (1 + 0.10)^-20) / 0.10 ]
500,000 = X [8.51356]
500,000 / 8.51356 = X
58,729 = X
So the value of the equal annual instalment will be $58.729
Answer:
11,513
Explanation:
Data provided in the question:
Initial bacteria = 200
Growth rate r(t) = 
Now,
Total growth after 3 hours = 
or
Total growth after 3 hours = 
or
Total growth after 3 hours =![450.268[\frac{e^{1.12567t}}{1.12567}]^3_0](https://tex.z-dn.net/?f=450.268%5B%5Cfrac%7Be%5E%7B1.12567t%7D%7D%7B1.12567%7D%5D%5E3_0)
[ ∵ 
]
Thus,
Total growth after 3 hours = 400 × ![[{e^{1.12567t}]^3_0](https://tex.z-dn.net/?f=%5B%7Be%5E%7B1.12567t%7D%5D%5E3_0)
or
Total growth after 3 hours = 400 × ![[{e^{1.12567(3)}-e^{1.12567(0)}]](https://tex.z-dn.net/?f=%5B%7Be%5E%7B1.12567%283%29%7D-e%5E%7B1.12567%280%29%7D%5D)
or
Total growth after 3 hours ≈ 11313
Hence,
Total bacteria after 3 hours = Initial bacteria + Total growth after 3 hours
= 200 + 11313
= 11,513
Answer:
Missing word <em>"Because the stock will be sold directly to an investor, there is no spread; the other flotation costs are insignificant"</em>
<em />
Fair Price is based on the current valuation of business and that is $840,000 in this case.
Fair Price = Current Value of Business/Number of Outstanding Shares
Fair Price = $840,000 / 37,000 shares
Fair Price = 22.7027027
Fair Price = $22.70.
Number of Additional Shares = Additional Funding Required/Fair Price Per Share =
Number of Additional Shares = $210,000 / $22.70
Number of Additional Shares = 9251.101321585903
Number of Additional Shares = 9251 shares
So, since additional funding of $210,000 is required, Benjamin will have to sell 9,251 shares as additional shares to the Angel.
Answer:
d. Detailed reporting of daily production is sent to the president
Explanation:
Fundamental responsibilities involves process in which the controller notifies the business reporting department of various adjusting entries, which are sent to the financial reporting officer as adjusted trial balance figures.
The treasurer notifies the business reporting department of investing and financing transaction activities.
