Answer:
$77,217
$11,289
Explanation:
Fist we will calculate the present value of $10,000 payment
A fix Payment for a specified period of time is called annuity. The discounting of these payment on a specified rate is known as present value of annuity. The value of the annuity is also determined by the present value of annuity payment.
Formula for Present value of annuity is as follow
PV of annuity = P x [ ( 1- ( 1+ r )^-n ) / r ]
Where
P = Annual payment = $10,000
r = rate of return = 10% / 2 = 5%
n = number of period = 5 years x 2 semiannual payments per year = 10 payments
PV of annuity = $10,000 x [ ( 1- ( 1+ 0.05 )^-10 ) / 0.05 ]
PV of Annuity = $77,217
Now we will use the discounting method to calculate the present value of lump sum payment of $20,000
Present value = Future value x Present value factor
PV = FV x ( 1 + r )^-n
PV = $20,000 x ( 1 + 0.1 )^-6
PV = $11,289
Answer:
The value of shareholders' equity is -$300
Explanation:
Shareholders' equity is the corporation's owners' residual claim on assets after debts have been paid.
Total assets= Total liability + shareholders' equity
Shareholders' equity = Total assets - Total liability
Shareholders' equity = $5,800 - $6,100
Shareholders' equity = -$300
<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:
Pure competition
Explanation:
Pure competition is a market structure characterized by many competitors selling similar products. Due to the high competition, market forces dertermine prices. Pure competition is also referred to as perfect competition. The other features of pure competition include.
- There many buyers and many sellers who have access to market information
- There are barriers no entry and exit in the market
- Firms sell homogeneous products
- Firms cannot influence the market price. Firms are price takers.
- The units of production such are homogeneous and are freely moving.
Answer:
A moral standard refers to the norms which we have about the types of actions which we believe to be morally acceptable and morally unacceptable. Specifically, moral standards deal with matters which can either seriously harm or seriously benefit human beings.
Explanation:
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