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Goryan [66]
3 years ago
5

The complex numbers w

Mathematics
1 answer:
solmaris [256]3 years ago
5 0

w=\dfrac{1+i+i}{i(1+i)+2}\\\\w=\dfrac{1+2i}{i-1+2}\\\\w=\dfrac{1+2i}{1+i}\\\\w=\dfrac{(1+2i)(1-i)}{1+1}\\\\w=\dfrac{1-i+2i+2}{2}\\\\w=\dfrac{3+i}{2}\\\\w=\dfrac{3}{2}+\dfrac{1}{2}i

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4(2x+3)(2x-3) is the answer
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One number is 9 times a first number. a third number is 100 more than the first number. if the sum of the three numbers is 727​,
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3 years ago
What is 16 - ( -12 )​
Maksim231197 [3]

Answer:

28

Step-by-step explanation:

16−(−12)

=16−(−12)

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28 is your answer

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3 0
3 years ago
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TIME REMAINING
erik [133]

Answer:

$1,131.20 is the amount earned

Step-by-step explanation:

<u>Key skills needed: Simple Interest Formula, Operations ( +, - , x , / )</u>

1) To understand this problem, you need to know the simple interest formula.

A = P(1+rt)

A is the amount

P is the principal

R is the interest rate as a decimal

T is the time in years

2) The 1st thing we need to do is convert the interest rate into a decimal. We have 14%. To convert into decimal form, we divide it by a 100, or move the decimal 2 places to the left. This is 0.14 --> So r=0.14

3) Next we use the formula:

A = 1,010(1+ 0.14(8))

  1. We first do 0.14(8) which is 1.12 and then add it to the 1 value, so you will get --> A = 1,010(2.12)
  2. Multiply and you will get A = $2,141.20
  3. To find the interest earned, you subtract this by the original amount, so $2,141.20 - $1,010 which would be $1,131.20

This means $1,131.20 is your answer.

<em>Hope you understood and have a nice day!! :D</em>

8 0
3 years ago
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Answer:

The hypotenuse of the triangle measures 13 inches.

Step-by-step explanation:

Since the Pythagorean theorem states that in any right triangle the lengths of the three sides are related by the equation A ^ 2 + B ^ 2 = C ^ 2, to determine the length of the hypotenuse in a right thangle with legs 5 inches and 12 inches the following calculation should be performed:

5 ^ 2 + 12 ^ 2 = X ^ 2

25 + 144 = X ^ 2

√169 = X

13 = X

Therefore, the hypotenuse of the triangle measures 13 inches.

4 0
3 years ago
Read 2 more answers
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