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charle [14.2K]
3 years ago
14

What is the real part of the complex number -3+9i

Mathematics
1 answer:
VikaD [51]3 years ago
8 0

The real part of given complex number -3 + 9i is -3

<em><u>Solution:</u></em>

We have to find the real part of complex number -3 + 9i

A Complex Number is a combination of real Number and an imaginary Number

<em><u>The general form of complex number is:</u></em>

a + bi

Where "a" and "b" are real numbers and i is the unit imaginary number

The given complex number is:

-3 + 9i

On comparing the above complex number with general form of complex number we get,

Real part = -3

Thus real part of given complex number is -3

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If $11,000 is invested in an account for 25 years. Find the value of the investment at the end of 25 years if the interest is:
Naya [18.7K]

If $11,000 is invested, $33,000 is the value of the investment at the end of 25 years if the interest is 8% simple interest and $75,333.23 is the value of the investment at the end of 25 years if the interest is 8% compounded annually. This can be obtained by using formulas for simple interest and compound interest.

<h3>What is the formulas of simple interest and compound interest?</h3>
  • Simple interest

A = P(1 +Rt/100) , P = principle amount ,R = rate of interest, t = time(in years)

  • Compound interest (annually)

A = P(1 + R/100)^t , P = principal amount, R = rate of interest,                                t = time(in years)

   

<h3>What is the value of investment?</h3>

Given that,  

P = $11,000 , R = 8%,  t = 25 years

  • 8% simple interest

A = P(1 +Rt/100) = 11000(1+\frac{(8)(25)}{100} ) = $33,000

  • 8% compounded annually

A = P(1 + R/100)^t = 11000(1+\frac{8}{100} )^{25} = 11000(1.08 )^{25} = $75,333.23

Hence If $11,000 is invested, $33,000 is the value of the investment at the end of 25 years if the interest is 8% simple interest and $75,333.23 is the value of the investment at the end of 25 years if the interest is 8% compounded annually.

         

     

Learn more about simple interest and compound interest:

brainly.com/question/25663053

#SPJ1

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: If $11,000 is invested in an account for 25 years. Find the value of the investment at the end of 25 years if the interest is:

(a) 8% simple interest

(b) 8% compounded annually

5 0
1 year ago
What is 300 divided by 400
Anna35 [415]

Answer:

0.75

Step-by-step explanation:

300 out of 400 is the same as 3/4.

3/4 converted to a decimal is 0.75.

8 0
3 years ago
PLEASEEEE HELP I NEED A ANSWER ASAP!!!!!!!
Licemer1 [7]

Answer:

520 - 303.93 - (10.99 * 4) - 25.25 - 73.43x ≥ 0

-

1) Parentheses

520 - 303.93 - 43.96 - 25.25 - 73.43x ≥ 0

-

2) Combine like terms

146.86 - 73.43x ≥ 0

-

3) Get the variable term alone

-73.43x ≥ -146.86

-

4) Divide to solve

x ≤ 2

** dividing by a negative number, the inequality sign flips **

ANSWER :

x ≤ 2

8 0
2 years ago
Read 2 more answers
Solve for x.<br> 10 = x + 5 + x<br><br> A. 5<br> B. 10<br> C. 5/2 <br> D. no solution
Strike441 [17]
The answer is c
I love math btw
7 0
3 years ago
xP(x)00.2510.0520.1530.55Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal pl
Nookie1986 [14]

The Solution:

Given:

Required:

Find the standard deviation of the probability distribution.

Step 1:

Find the expected value of the probability distribution.

E(x)=\mu=\sum_{i\mathop{=}0}^3x_iP_(x_i)\begin{gathered} \mu=(0\times0.25)+(1\times0.05)+(2\times0.15)+(3\times0.55) \\  \\ \mu=0+0.05+0.30+1.65=2.0 \end{gathered}

Step 2:

Find the standard deviation.

Standard\text{ Deviation}=\sqrt{\sum_{i\mathop{=}0}^3(x_i-\mu)^2P_(x_i)}=(0-2)^2(0.25)+(1-2)^2(0.05)+(2-2)^2(0.15)+(3-2)^2(0.55)=4(0.25)+1(0.05)+0(0.15)+1(0.55)=1+0.05+0+0.55=1.60

Thus, the standard deviation is 1.60

Answer:

1.60

8 0
1 year ago
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