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Dima020 [189]
3 years ago
14

What are the characteristics of a complex number? What is the relationship between a complex number and its conjugate? Describe

the usefulness of the conjugate and its effect on other complex numbers.
Mathematics
1 answer:
Dafna11 [192]3 years ago
6 0
Complex number will have :

- A real part
- an imaginary part

The conjugate of a complex number is simply the complex number with the imaginary part of the opposite sign

One of the usefulness of the conjugate is when you have a complex number in the denominator and you are trying to get rid of it

hope this helps
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Ingrid deposit $10,000 in an IRA what will be the value of her investment six years if the investment earning 3.2% per year and
enyata [817]

Answer:

  • $12116.71

Step-by-step explanation:

Given

  • Deposit = $10000
  • Interest rate = 3.2% PA
  • Interest type = compound
  • Frequency = continuous
  • Time = 6 years

Calculation

  • Total = 10000*e^(rt) = 10000*e^(0.032*6) = $12116.71
7 0
3 years ago
Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat
Salsk061 [2.6K]

Answer: In June 2097

Step-by-step explanation:

According to the model, to find how many years t should take for  P(t)=21100 we must solve the equation  0.9t^2+6t+14000=21100. Substracting 21100 from both sides, this equation is equivalent to 0.9t^2+6t-7100=0.

Using the quadratic formula, the solutions are t_1= \frac{-6-\sqrt{6^2 -4*0.9*(-7100)}}{2*0.9}=-92.21 and t_2=\frac{-6+\sqrt{6^2 -4*0.9*(-7100)}}{2*0.9}=85.54. The solution t_1=-92.21 can be neglected as the time t is a nonnegative number, therefore t=t_2=85.54.

The value of t is approximately 85 and a half years and the initial time of this model is the January 1, 2012. Adding 85 years to the initial time gives the date  January 2097, and finally adding the remaining half year (six months) we conclude that the date is June 2097.

6 0
3 years ago
If you drive at a speed of 50 mph how many hours will it take to drive 1340 miles
timama [110]

It would take you 26.8 hours to drive 1340 miles... I think.

4 0
3 years ago
50 POINTS! QUICKLY Are the pairs of variables x and y the solutions to the equation x^2–2y=7?
Fittoniya [83]

Hi there!

\large\boxed{(5,8) \text{ and } (1.2, -2.78)}}

We are given the equation:

x² - 2y = 7

To verify if each ordered pair is apart of the function, we can plug in their respective x and y values:

1. (5)² - 2(8) = 7

25 - 16 = 9 ≠ 7. This is NOT correct.

2. (-1)² - 2(-3) = 7

1 + 6 = 7. This is correct.

3. (-4)² - 2(-11.5) = 7

16 + 23 = 39 ≠ 7. This is NOT correct.

4. (1.2)² - 2(-2.78) = 7

1.44 +5.56 = 7. This is correct.

Thus, only 1 and 4 are the correct answers.

5 0
2 years ago
Read 2 more answers
I need help, can someone tell me the answer to 13x + 3 - 7x - 1? Please and thank you.
Yuki888 [10]

Answer:

6x+2

Step-by-step explanation:

your combine like terms...

so 13x is teh same as -7x

13x-7x= 6x

3 and -1 are the same as well

3-1=2

so teh answer would be

6x+2

3 0
3 years ago
Read 2 more answers
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