Answer
The answer and procedures of the exercise are attached in the following archives.
Step-by-step explanation:
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.
<span>n/2 = average number of items to search.
Or more precisely (n+1)/2
I could just assert that the answer is n/2, but instead I'll prove it. Since each item has the same probability of being searched for, I'll simulate performing n searches on a list of n items and then calculate the average length of the searches. So I'll have 1 search with a length of 1, another search looks at 2, next search is 3, and so forth and so on until I have the nth search looking at n items. The total number of items looked at for those n searches will be:
1 + 2 + 3 + 4 + ... + n
Now if you want to find the sum of numbers from 1 to n, the formula turns out to be n(n+1)/2
And of course, the average will be that sum divided by n. So we have (n(n+1)/2)/n = (n+1)/2 = n/2 + 1/2
Most people will ignore that constant figure of 1/2 and simply say that if you're doing a linear search of an unsorted list, on average, you'll have to look at half of the list.</span>
Answer:
Annual contributions to the retirement fund will be $6,347.31
Explanation:
First find the Present Value of the Annuity giving payments of $32,000 annually for 25 years at the rate of 10%.
Using a Financial Calculator enter the following data
PMT = $32,000
P/y = 1
N = 25
R = 10%
FV = 0
Thus, the Present Value, PV is $290,465.28
At the time of retirement (in 20 years time) the Value of the annuity fund is $290,465.28.
Next we need to find the Payments PMT to reach this amount in 20 years time at the interest rate of 8%
Using a Financial Calculator enter the following data
FV = $290,465.28
N = 20
R = 8 %
PV = $0
Thus, the Payments, PMT required will be $6,347.3080
Conclusion :
Annual contributions to the retirement fund will be $6,347.31
Well, it is strongly suggested by your point of view. However, considering the alternatives I will assume that you are after potensiell positive effects.
I would first and firemost mention Job creation as a effect. This is due to new productive and innovative perspective which priarily focus on expanding the financial capital; in this way provide facilities and cultivate nationalism.
Answer:
An elevator pitch, elevator speech, or elevator statement is a short description of an idea, product, or company that explains the concept in a way such that any listener can understand it in a short period of time.
