<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>
The statement that the percent sales method for estimating bad debts for a company, will only use those balances in the income statement is False.
<h3>What is the percent of sales method?</h3>
The percent of sales method is one of the methods that companies can use to estimate the bad debts that it expects in a given period. Bad debts refer to those Account Receivables that will not pay the company back even after they have taken goods or services on credit. In order to be able to use the percent of sales method, the sales of a company need to be known.
The sales that a company makes includes both the sales that the company made and the accounts receivable. The Accounts Receivables go to the Balance Sheet and Sales go to the Income Statement. This means that the Balance Sheet balances are used as well as Income Statement balances and not just the latter.
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Answer:
a) encourage people to search longer for a job.
c) prolong the amount of time a person stays out of work.
d) increase the number of workers looking for work.
Explanation:
Answer:
a) the leader presents ideas and invites questions.
Explanation:
Leadership continuum is a leadership style which describes the relationship with respect to the autonomy that a manager gives to his subordinates, and the level of authority used by him/ her. This is a inverse proportional relation which reduces the authority of the manager when team's freedom increases. It debases an autocratic rule by a manager, especially in taking decisions.
The example cited in the question is a way of taking decision by suggestions by expecting questions from his team.
The court found the employee status because he had and agreement indicating that he was an independent <em>contractor</em>.
<h3>What is an independent contractor?</h3>
It should be noted independent contractors are the contractors that don't work under an employer. They work independently.
In this case, the court found the employee status because he had and agreement indicating that he was an independent contractor.
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