The United States and the Soviet Union felt they were in an ideological war between freedom and democracy and Totalitarianism and communism.
Explanation:
The totalitarianism is a political system or a form of government that forbids opposition parties, restricts individual opposition to, and controls public and private life extremely highly. The most severe and detailed type of authoritarianism is considered.
Many notable examples of totalitarian states include Italy (1922–43), the Soviet Union (1924–53), Adolf Hitler's (1933–45), the People's Republic of China (1949–76), North Korea (1925–45), Mao Zedong (1948), and Kim (1932–43).
Answer:
$85,000
Explanation:
If there are any dividends declared in a company having preference capital, then firstly dividend will be paid to preference capital at the rate specified as that is the minimum rate.
Here preference capital = $10
30,000 = $300,000
Dividend = 5% = $15,000
Total dividend for the year = $100,000
Equity Dividend = Total - Preference
= $100,000 - $15,000
= $85,000
It is not in the option, therefore all options are incorrect.
<span>Annual = Years = 6.64; Actually 7 years
Monthly = Years = 6.33; 6 Years, 4 months
Daily = Years = 6.30; 6 Years, 111 days
Continuously = 6.30; 6 Years, 110 days
The formula for compound interest is
FV = P*(1 + R/n)^(nt)
where
FV = Future Value
P = Principle
R = Annual interest rate
n = number of periods per year
t = number of years
For this problem, we can ignore p and concentrate on the (1+R/n)^(nt) term, looking for where it becomes 2. So let's use this simplified formula:
2 = (1 + R/n)^(nt)
With R, n, and t having the same meaning as in the original formula.
For for the case of compounding annually
2 = (1 + R/n)^(nt)
2 = (1 + 0.11/1)^(1t)
2 = (1.11)^t
The above equation is effectively asking for the logarithm of 2 using a base of 1.11. To do this take the log of 2 and divide by the log of 1.11. So
log(2) / log(1.11) = 0.301029996 / 0.045322979 = 6.641884618
This explanation of creating logarithms to arbitrary bases will not be repeated for the other problems.
The value of 6.641884618 indicates that many periods is needed. 6 is too low giving an increase of
1.11^6 =1.870414552
and 7 is too high, giving an increase of 1.11^7 = 2.076160153
But for the purpose of this problem, I'll say you double your money after 7 years.
For compounding monthly:
2 = (1 + R/n)^(nt)
2 = (1 + 0.11/12)^(12t)
2 = (1 + 0.009166667)^(12t)
2 = 1.009166667^(12t)
log(2)/log(1.009166667) = 0.301029996 / 0.003962897 = 75.96210258
And since the logarithm is actually 12*t, divide by 12
75.96210258 / 12 = 6.330175215
Which is 6 years and 4 months.
For compounding daily:
2 = (1 + 0.11/365)^(365t)
2 = (1 + 0.00030137)^(365t)
2 = 1.00030137^(365t)
log(2)/log(1.00030137) = 0.301029996 / 0.000130864 = 2300.334928
2300.334928 / 365 = 6.302287474
Continuously:
For continuous compounding, there's a bit of calculus required and the final formula is
FV = Pe^(rt)
where
FV = Future value
P = Principle
e = mathematical constant e. Approximately 2.718281828
r = Interest rate
t = time in years
Just as before, we'll simplify the formula and use
2 = e^(rt)
Since we have the function ln(x) which is the natural log of x, I won't bother doing log conversions.
rt = ln(2)
0.11 * t = 0.693147181
t = 0.693147181 / 0.11
t = 6.301338005</span>
Answer:
3 years
Explanation:
The formula to compute the payback period is shown below:
= Initial investment ÷ Net cash flow
where,
Initial investment is $450,000
And, the net cash flow = annual net operating income + depreciation expenses
= $105,000 + $45,000
= $150,000
Now put these values to the above formula
So, the value would equal to
= ($450,000) ÷ ($150,000)
= 3 years
Answer:
sorry I didn't understand your question and thx for points have a nice day :)