Write your answer in a + bi form.

A=___

B=___

Write Your Answer In A + Bi Form.A=___B=___

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\frac{-3+7i}{-6-7i} \times \frac{-6+7i}{-6+7i} =\frac{18-21i-42i-49i^2}{(-6)^2-(7i)^2} \\=\frac{18-63i -49(-1)}{36-49i^2} \\=\frac{18+49-63 i}{36-49(-1)} \\=\frac{67-63i}{36+49} \\=\frac{67-63i}{85} \\=\frac{67}{85} +(\frac{-63}{85} )i\\[/tex]

[tex]a=\frac{67}{85} \\b=\frac{-63}{85}[/tex]


Related Questions

What is the volume of a moving crate length of 3 feet a width of 2 feet and a height of 5 feet

Answers

Answer:

30 cubic feet

Step-by-step explanation:

2 times 3 times 5 equals 30.

Company X has the following capital structure, which it considers to be optimal:

Debt =33%, Preferred stock = 28%, Common equity = 39%

Company X’s tax rate is 25% and investors expect earnings and dividends to grow at a constant rate of 6.5% in the future. Company X is expected to pay a dividend of $4.40 per share next year, and its stock currently sells at a price of $55 per share.

Company X can obtain new capital in the following ways:

Preferred: New preferred stock with a dividend of $13 can be sold to the public at a price of $109 per share.
Debt: Debt can be sold at an interest rate of 11%.

Calculate the following:

a. Cost of Common equity?

b. Cost of Preferred Equity?

c. Cost of debt?

d. Weighted Average Cost of Capital (WACC)

Answers

The computations of Company X's Capital Structure is as follows:

a. Cost of Common equity = 7.48% ($4.114/$55 x 100)

b. Cost of Preferred stock = 11.93% ($13/$109 x 100)

c. After-tax cost of debt = 8.25% (11% x 1 - 0.25)

d. Weighted Average Cost of Capital (WACC):

= (39% x 7.48% + 28% x 11.93% + 33% x 8.25%)

= (2.92% + 3.34% + 2.72%)

= 8.98%

= 9%

Data and Calculations:

Capital Structure Weights:

Weight of Debt =33%

Weight of Preferred stock = 28%

Weight of Common equity = 39%

Corporate tax rate = 25%

Earnings growth = 6.5%

Expected dividend per share next year = $4.40

Dividend per share for the current year = $4.114 ($4.40 x 93.5%)

Current common stock price per share = $55

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Using a tree diagram, how many outcomes are there for an outfit made with 1 shirt option 1 pants option and 2 shoe options?

Answers

Answer:

Step-by-step explanation:

3

A caplet contains 287 milligrams of medication. How many caplets contain 574 milligrams of medication?

Answers

Answer:

2 caplets contain 574 milligrams of medication.

Step-by-step explanation:

1 caplet = 287 milligrams

x caplets = 574 milligrams

Divide:

574 ÷ 287 = 2

-Chetan K

At a school party there are 40 cookies there are 5 chocolate cookies and 3 oatmeal how many oatmeal cookies are there

Answers

Answer:

There are 3 oatmeal cookies.

Step-by-step explanation:

there’s 3 oatmeal cookies

How to solve this problem?
Thank you

Answers

no clue sorry bro but yeah 24/5

Please help

I need help creating a table of value for this equation

Answers

Answer:

Create the table and choose a set of x values. Substitute each x value (left side column) into the equation. Evaluate the equation (middle column) to arrive at the y value. An Optional step, if you want, you can omit the middle column from your table, since the table of values is really just the x and y pairs.

Step-by-step explanation:

Specify a name for the function.

Specify a name and data type for each input parameter.

Specify the routine attributes.

Specify the RETURNS TABLE keyword.

Specify the BEGIN ATOMIC keyword to introduce the function-body.

Specify the function body.

ILL FIVE BRAINLIEST GIVE ANSWER PLS

Answers

Answer:

y = -4, x = 9

Step-by-step explanation:

If a line is horizontally passing through a point, then the equation of that line must be the y-value of that coordinate point. Likewise, if a line is passing vertically through a point, then the equation of that line must be the x-value of that coordinate point.

Apply the theory to this problem.

The equation for the horizontal line is y = -4

The equation for the vertical line is x = 9

HELP PLEASE IM BEGGING it’s DUE TMR PLEASE

Answers

Problem 2

x = amount of candy Ian goty = amount of candy Joe gotz = amount of candy Josh got

Based on those variables, we can form these equations

x+y+z = 75 since all three got 75 totalx = 3y+6 due to "Ian collected six more than three times the amount Joe got"z = y-11, since Josh collected 11 pieces less compared to Joe

The system of equations is

[tex]\begin{cases}x+y+z = 75\\x = 3y+6\\z = y-11\\\end{cases}[/tex]

Let's start with the first equation. Then apply substitution like so

x+y+z = 75  

3y+6+y+z = 75 ... plug in x = 3y+6

4y+6+z = 75

4y+6+y-11 = 75 ... plug in z = y-11

5y-5 = 75

5y = 75+5

5y = 80

y = 80/5

y = 16 = amount of candy Joe collected

z = y-11 = 16-11 = 5 = amount Josh collected

x = 3y+6 = 3*16+6 = 54 = amount Ian collected

Answer: 54 pieces of candy

======================================================

Problem 3

x = number of pounds of candy that sells for $1.49 a pound

1.49x = cost of buying those x pounds of candy at that unit price

4.50*5 = 22.50 = cost of buying 5 pounds at $4.50 per pound

1.49x+22.50 = total cost

x+5 = total weight in pounds

(total cost)/(total weight) = final cost per pound

(1.49x+22.50)/(x+5) = final cost per pound

(1.49x+22.50)/(x+5) = 3.64

1.49x+22.50 = 3.64(x+5)

1.49x+22.50 = 3.64x+18.20

22.50-18.20 = 3.64x-1.49x

4.30 = 2.15x

2.15x = 4.30

x = (4.30)/(2.15)

x = 2

Answer:  2 pounds

======================================================

Problem 5

g = number of ghosts

w = number of witches

s = number of scarecrows

g+w+s = 22 = total number of items

w = g+1 since there's one more witch compared to ghosts

s = w-7 since there's 7 less scarecrows than witches

The system we need to solve is

[tex]\begin{cases}g+w+s = 22\\w = g+1\\s = w-7\\\end{cases}[/tex]

We'll use substitution here as well

g+w+s = 22

g+w+w-7 = 22 ... plug in s = w-7

g+2w-7 = 22

g+2(g+1)-7 = 22 ... plug in w = g+1

g+2g+2-7 = 22

3g-5 = 22

3g = 22+5

3g = 27

g = 27/3

g = 9, there are 9 ghosts

w = g+1 = 9+1 = 10 witches

s = w-7 = 10-7 = 3 scarecrows

Answers:

10 witches and 3 scarecrows

How do you factor by grouping if the question is 2p^3+5p^2+6p+15?​

Answers

Answer:

(2p + 5)(p² + 3)

Step-by-step explanation:

2p³ + 5p² + 6p + 15

take out factor p²

p² × (2p + 5) + 6p + 15

p² × (2p + 5) + 3 (2p + 5)

= (2p + 5)(p² + 3)

A Ferris wheel can accommodate 40 people in 20 minutes. How many people
could ride the ferris wheel in 3 hours? What was that rate per hour?

Answers

Answer:

360 people in 3 hours. 120 people per hour.

Step-by-step explanation:

How many times do 20 minutes go into 3 hours?

Well, 60 min. ÷ 20 min. = 3

So, 3 x 3 = 9

So 40 people went on the ride each 20 minutes. And there are (3) 20 minutes in every hour.

So 3 hours would be 9 x 40 = 360

120 people per hour because 40 x 3 = 120

and 20 minutes (3) times equals 1 hour.

Estimate the area of the irregular shape. Explain your method and show your work. Will Mark Brainliest if correct. And please Do Not Repost someone else's answers from brianly or another websites. ​

Answers

9514 1404 393

Answer:

  29 square units

Step-by-step explanation:

One estimate could be obtained by approximating the shape by a polygon with vertices at ...

  (-3, 3), (2, 2), (2, -2), (-3, -4), (-4, -3), (-3, -1)

The idea is to try to have about as much area outside this boundary as inside with reference to the curve shown.

This can be subdivided into a trapezoid with the first four vertices shown, and a triangle with the last three vertices shown. The respective areas are ...

  trapezoid area = 1/2(b1 +b2)h = 1/2(7+4)(5) = 27.5

  triangle area = 1/2bh = 1/2(3)(1) = 1.5

Then the total estimated area is about 27.5 +1.5 = 29 square units.

Complete the equation…

Picture is included

Please answer!! No links please!!!!

Answers

Answer:

a to the power 1

............

PLEASE HELP I DO ANYTHING

Answers

Answer:

Step-by-step explanation: 4 if i believe

What is the midpoint between 0.3 and 0.4

Answers

Answer:

A number between 0.3 and 0.4 is 0.35

The perimeter of a rectangular pool is 240 yd. If the length is 30 yd unless the four times the width, find the length and the width.

Answers

Answer:

270 is the answer if you add

Answer:

Step-by-step explanation:

P = 2L + 2W

L = 4w - 30

w = w

P = 2(4w - 30) + 2W

but  P = 240

2(4w - 30) + 2w = 240         Remove the brackets.

8w - 60 + 2w = 240             Combine

10w - 60 = 240                     Add 60

10w - 60 + 60 = 240+60      Combine

10w = 300                             Divide by 10

w = 30

L = 4w - 30

L = 4*30 - 30

L = 120 - 30

L = 90

James was watching Cartoon Cartoon's! He watch 7 each day. If he keeps this up for 10 days how many Cartoon Cartoon's will he watch in all?

Answers

Answer:

70

Step-by-step explanation:

7 x 10 = 70

What is the solution of the following system?
-2x - y = 1
-4x - 2y = -1
A. infinitely many solutions
B. no solutions
C. (3, 8)
D. (–3, –8)

Answers

Answer:  B) no solutions

===========================================================

Explanation:

Let's isolate the variable y in the first equation

-2x - y = 1

-2x = 1 + y

1+y = -2x

y = -2x-1

Then we'll plug this into the second equation

-4x - 2y = -1

-4x - 2(-2x-1) = -1

-4x + 4x + 2 = -1

0x + 2 = -1

0 + 2 = -1

2 = -1

We run into a contradiction. No matter what x value we pick, the last equation will never be true. This leads to a domino effect to cause the first set of original equations to never be true when considered as a system.

Therefore, this system is inconsistent. There are no solutions. These two lines graph out parallel lines that never intersect.

Where can you find your state-specific Lottery information to sell
Lottery tickets and redeem winning Lottery tickets?
(Select all that apply.)
1. Barcode and Quick Reference Guide

2. Lottery Terminal Handbook

3. Lottery vending machine

4. OneWalmart using Handheld/BYOD

Answers

The places where you can find state-specific information about lottery information to sell, lottery tickets, redeem winning and lottery tickets are the lottery terminal handbook, and lottery vending machine.

Lottery Terminal Handbook is a text containing information related to the lottery Terminal (Electronic Device). This text explains all the functions of the Lottery terminal, how to print the tickets, and how to redeem wining prizes.

On the other hand, a Lottery vending machine is a specialized machine for offering and selling lottery tickets. In these machines, the buyer enters money corresponding to the value of the lottery ticket, and the machine gives him scratch-off tickets or another type of ticket.

According to the above, the information related to lottery tickets can be found in a lottery terminal handbook and a lottery vending machine.

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Solve for y. Y/4 - y-1/2>3

Answers

Answer:

y < -14/3

Step-by-step explanation:

y/4 - y - 1/2 > 3

          +1/2     +1/2

---------------------------

y/4 - y > 7/2

*4           *4

---------------------------

y - 4y > 14

-3y > 14

/-3     /-3

---------------------------

y < -14/3

Answer:

y < -14/3 --> final solution

PLEASE HELP!!!!!
will mark brainliest!!!!!

Answers

Answer:

X. f(x)

0 -10

3 -4

5 0

6 2

then now polt the following points on

graph

(0,-10),(3,-4),(5,0),(6,2)

Step-by-step explanation:

hi by hi by hi bye hi by hi bye bye

Maggie's brother is 5 years younger than twice her age. The sum of their ages is 13.

How old is Maggie?

Maggie is
years old.

Answers

Maggie is 9 years old.

Use the quadratic formula to solve the quadratic equation
2n^2−5n+5=0.
Solutions (separate by commas): n=

Answers

Answer:

La ecuación ahora está resuelta.

n=  

8

5+  

55

i

 

n=  

8

−  

55

i+5  

Step-by-step explanation:

Pasos con la fórmula cuadrática

(2n)  

2

−5n+5=0

Expande (2n)  

2

.

2  

2

n  

2

−5n+5=0

Calcula 2 a la potencia de 2 y obtiene 4.

4n  

2

−5n+5=0

Esta ecuación tiene un formato estándar: ax  

2

+bx+c=0. Sustituya 4 por a, −5 por b y 5 por c en la fórmula cuadrática,  

2a

−b±  

b  

2

−4ac

 

.

n=  

2×4

−(−5)±  

(−5)  

2

−4×4×5

 

 

Obtiene el cuadrado de −5.

n=  

2×4

−(−5)±  

25−4×4×5

 

 

Multiplica −4 por 4.

n=  

2×4

−(−5)±  

25−16×5

 

 

Multiplica −16 por 5.

n=  

2×4

−(−5)±  

25−80

 

 

Suma 25 y −80.

n=  

2×4

−(−5)±  

−55

 

 

Toma la raíz cuadrada de −55.

n=  

2×4

−(−5)±  

55

i

 

El opuesto de −5 es 5.

n=  

2×4

5±  

55

i

 

Multiplica 2 por 4.

n=  

8

5±  

55

i

 

Ahora resuelva la ecuación n=  

8

5±  

55

i

 cuando ± es más. Suma 5 y i  

55

.

n=  

8

5+  

55

i

 

Ahora resuelva la ecuación n=  

8

5±  

55

i

 cuando ± es menos. Resta i  

55

 de 5.

n=  

8

−  

55

i+5

 

La ecuación ahora está resuelta.

n=  

8

5+  

55

i

 

n=  

8

−  

55

i+5

 

Terrence likes to make lemonade using the lemons from his grandmother's trees.
There is a proportional relationship between the number of pitchers of lemonade Terrence
wants to make, x, and the number of lemons he needs, y.
x (pitchers) y (lemons)
2
8
3
12
16
4
5
20
What is the constant of proportionality? Write your answer as a whole number or decimal.
lemons per pitcher
Submit
Work it out

Answers

The correct answer is four lemons per pitcher.

larry mitchell invested part of his $27,000 advance at 2% annual simple interest and the rest at 6% annual simple interest. If his total yearly interest from both accounts was $860, find the amount invested at each rate

Answers

Answer:

$19000 at 2%, $8000 at 6%

Step-by-step explanation:

Let x is the amount at 2%, then 27000 - x is the amount at 6%.

The total interest is:

0.02x + 0.06(27000 - x) = 8600.02x - 0.06x + 1620 = 8600.04x = 1620 - 8600.04x = 760x = 760/0.04x = 19000

The amount at 6% is:

$27000 - $19000 = $8000

What is are the answers

Answers

Answer:

Q1(a). x=112 (corr angles)

Q1(b). x=75 (alt angles)

Q1(c). x=180-150 (adj angles on a str line)

           =30

         y=150 (corr angles)

Q1(d). x=99 (vert opp angles)

         y=99 (corr angles)

          z=180-99 (adj angles on a str line)

            =81

Q1(e). x=180-74 (adj angles on a str line)

           =106

         y=106 (corr angles)

Q1(f). x=123 (corr angles)

        y=180-110 (int angles)

          =70

Q3. 4x+15=5x-10 (vert opp angles)

      4x-5x=-10-15

            -x=-25

             x=25

Q4. x+22+2x-13=180 (int angles)

                 3x+9=180

                     3x=180-9

                         =171

                       x=171÷3

                         =57

At a sale this week, a table is being sold for $403. This is a 38% discount from the original price. What is the original price?

Answers

Answer:

$650.  This was the original price.

Step-by-step explanation:

Let p represent the original price.

The following expression calculates the value of p:  (1 - 0.38)p = $403.  Note that '1' indicates full price and that '0.38' indicates a 38% discount.

(1 - 0.38)p = $403 simplifies to (0.62)p; = $403.

Dividing both sides by 0.62 yields $650.  This was the original price.

Answer:

$650

Step-by-step explanation:

Line up $ with $ and % with % then cross multiply

$403 represents ........100% full price -38% discounted  = 62%

$ x amount of the original price represents .........................100%

x*62 = 403*100, cross multiply

x = (403*100)/62, divide both sides by 62

x = $650

Which best explains why
all equilateral triangles are similar?
© All equilateral triangles can be mapped onto each other using dilations.
All equilateral triangles can be mapped onto each other using rigid transformations.
All equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations
All equilateral triangles are congruent and therefore similar, with side lengths in a 1:1 ratio.

Answers

Which best explains why

Which best explains whyall equilateral triangles are similar?

All equilateral triangles are congruent and therefore similar, with side lengths in a 1:1 ratio

Hope this helps- have a good day bro cya)

Answer: C. All equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations.

Step-by-step explanation:

Got it right on edge 2023

What is the value of 6(2b-4) when b=5?

Answers

Answer: 36

Step-by-step explanation:

do pemdas

inside parentheses first

2b-4

2 times 5 is 10

10 minus 4 is 6

6 times 6 is 36

Answer:

[tex] \boxed{36}[/tex]

Step-by-step explanation:

[tex]6(2b - 4)[/tex]

Substitute the value of b:-

[tex] 6(2(5) - 4)[/tex]

[tex]6(10 - 4)[/tex]

[tex](6 \times 10) - (6 \times 4)[/tex]

[tex]60 - 24[/tex]

[tex] \boxed{ \pink{36}}[/tex]

Is "369" from ( Digit or Number or Numeral) ?? ​

Answers

Answer:

Number

Step-by-step explanation:

Answer:

Digit is single number

so answer is numeral

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

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