Explain why the amount of money in the account at the end of t years is given by the formula:
1 answer:
Answer:
Step-by-step explanation:
The initial amount invested is P0
Say it is compounded periodically either quarterly or monthly or semi annually with interest r%
If for a period interest is r%
Then after first period principal = principal+simple interest
=
where n is the no of times in a year it is compounded. n = 4 if quarterly, 12 if annually, etc
At the end of II period we have
Principal =
So for interest again the process is repeated
Thus we repeat this nt times which result in power with nt
Hence the formula
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The question is an illustration of perimeters.
The amount of patio to remove to install the pool is 8 feet.
From the question, we have:
The perimeter of the patio is:
A 1ft walkway means that;
1ft would be subtracted from both sides of the patio before installing the pool
So, the perimeter of the patio in terms of the length of the pool is:
Equate both expressions
Divide both sides by 4
Subtract 2 from both sides
So, the perimeter of the pool is:
The amount of patio to remove is:
So, we have:
Hence, 8ft of the patio would be removed to install the pool
<em>See attachment for illustration</em>
Read more about perimeters at:
