Answer:
In a word processing document or on a separate piece of paper, use the guide to construct a two-column proof proving that lines l and m are parallel.
<h3>
Answer: -i</h3>
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Explanation:
i = sqrt(-1)
Lets list out the first few powers of i
- i^0 = 1
- i^1 = i
- i^2 = -1
- i^3 = i*i^2 = i*(-1) = -i
- i^4 = (i^2)^2 = (-1)^2 = 1
By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.
For example, i^5 = i^1 because 5/4 leads to a remainder 1.
Another example: i^6 = i^2 since 6/4 = 1 remainder 2
Again, we only care about the remainder to find out which bin we land on.
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Turning to the question your teacher gave you, we have,
739/4 = 184 remainder 3
So i^739 = i^3 = -i
<h3>
-i is the final answer</h3>
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Side notes:
- if i^a = i^b, then a-b is a multiple of 4
- Recall that the divisibility by 4 trick involves looking at the last two digits of the number. So i^739 is identical to i^39.
This is a black screen!!!!
The answer to your question is nine
Answer:
After 9 years the account will be worth 13709.60$
Step-by-step explanation:
We are given the following in the question:
We are given the following in the question:
P = $8000
r = 6% = 0.046
n = 12
The compound interest is given by:
where A is the amount, p is the principal, r is the interest rate, t is the time in years.
Putting the values, we get,
Thus, after 9 years the account will be worth 13709.60$
