A business executive received a $6,000 bonus check from her company at the end of the year. This was 5% of her annual salary. How much was her annual salary before receiving the bonus?

Answer:

The additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]

Step-by-step explanation:

Given

Roots: [tex]5 + 12i[/tex] and [tex]-9 -7i[/tex]

Required

Determine two additional roots

For a polynomial with two rational roots, the additional roots are the conjugates of the roots.

Take for instance, the following expression:

[tex]a + \sqrt b[/tex]

The conjugate of [tex]a + \sqrt b[/tex] is: [tex]a - \sqrt b[/tex].

Having established how to determine the additional roots, we proceed to determine the roots.

The conjugate of [tex]5 + 12i[/tex] is [tex]5 - 12i[/tex] and the conjugate of [tex]-9 -7i[/tex] is [tex]-9 + 7i[/tex]

Hence, the additional roots are: [tex]5 - 12i[/tex] and [tex]-9 + 7i[/tex]

Answer:

the answer is eight dollars and thirty four cents $8.34

Answer:

27

Step-by-step explanation:

It is an equilateral triangle, so all sides are 9 ft. 9*3=27.

Answer:

15% of 20 is 3, so 3 muffins were sold.

Step-by-step explanation:

To get this answer, multiply the percent by the total (15 x 20 = 300) and then divide the answer by 100. (300 / 100 = 3). Hope this helps :)

Answer:3

Step-by-step explanation:

0.15x20=3

0.15 is the percent of muffins, to find out a percentage over a number, you do the percentage dived by 100. Than, you multiply it by the number.

Answer:

5

Step-by-step explanation:

2*2 + 3*6 + 4*x + 5*8 + 6*1 = 84

4*x = 16

x = 4

Right, 8 is the biggest frequency

Answer:

this would be answer d

owu when minecraft talks to me its like mr blue horse please tell me why you you lead all the creepers to my Mario world 1. he go brrr on a stick is a dog that wants to be a bottle at night with the sun up and the bird went for a walk in his cage while sleeping so i opened a book and it played a video

Step-by-step explanation:

Answer:

the other person is correct

Step-by-step explanation:

D

Answer:

5

Step-by-step explanation:

5

Answer:

540/90=6

and is 6 cm

height is 6 cm

Answer:

first blank: 50-10=40

second blank: 50-20=30

third blank: 50-25=25

Step-by-step explanation:

hope this helps!

Answer:

Step-by-step explanation:

                                              40  30  25

10     20        25

40    30        25

Answer:

238 miles

Step-by-step explanation:

340 miles = 5 hours

So get 1 hour by dividing by 5 on both sides

5/5 = 1 hr

340/5 = 68

So in 1 hour they travel 68 miles

You want to find 3 1/2 hours

Do 68 x 3 to get 3 hours

So it would be 68 x 3 =204

Plus the half an hour - which you get by doing 68/2 = 34

68 = 1 hour, so half of that must be half an hour

So to get the final distance you do 204 (3 hours) +34 (half an hour)

204 + 34 =238

Answer:

5, -7, 18, 14

Step-by-step explanation:

1) x = 5

2) x = -7

3) x = 18

4) x = 14

Answer:

[tex]k=14[/tex]

Step-by-step explanation:

Completing the square gives

[tex]x^4 + kx^2 + 49\\= (x^2+7)^2 - 14x^2 + kx^2[/tex]

So we have to cancel the latter two terms out for the expression to always become a square (otherwise we are dealing with a square plus something else, which doesn't always result in a square), giving us our answer directly.

Answer:

k=± 14

Step-by-step explanation:

[tex]x^4+kx^2+49\\Disc.=b^2-4ac=k^2-4*1*49\\it ~ is ~a ~ perfect ~ square.\\k^2-196=0\\k^2=196\\k= \pm 14[/tex]

Answer:

112°

Step-by-step explanation:

Answer:

x =18

Step-by-step explanation:

[tex]\frac{x}{6} = 3[/tex]

x = 3 x 6

x = 18

Verify:

[tex]\frac{18}{6} =3[/tex]  (Correct)

Answer:

a

Step-by-step explanation:

i did this test and question beforer si know what it iso

Answer: 15% I think

Step-by-step explanation:

The percent of increase in the amount of shampoo the new bottle contains is 25%.

Given that, a certain brand of shampoo contains 12 ounces in a bottle and the new type of bottle contains 15 ounces of shampoo.

Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage.

Percentage increase = (Final value - Initial value) / Initial value × 100

Now, initial value = 12 and final value = 15

Percentage increase = (15-12)/12 × 100

= 3/12 × 100

= 1/4 × 100

=25%

Therefore, the percent of increase in the amount of shampoo the new bottle contains is 25%.

To learn more about the percentage increase visit:

https://brainly.com/question/10168902.

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Answer:

The length of the diagonal is x√10

Step-by-step explanation:

Here, we want to find the length of the diagonal

The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides

Mathematically, we then apply Pythagoras’ theorem to get this

we have this as that the square of the diagonal equals the sum of the squares of the two other sides

d^2 = x^2 + (3x)^2

d^2 = x^2 + 9x^2

d^2 = 10x^2

d = √(10x^2)

d = x√10

Answer:

x=-8

Step-by-step explanation:

1) remove the constant(number without variable) to do this, we must use the opposite operation(in our case, subtraction)

so

4x+1=-31

a) 4x+1-1=-31-1

4x=-32

b) remove the coefficient by doing the opposite operation(division in our case)

x=-8

If the hypotenuse is 4 cm and an angle is 57°. Then the measure of the length of the side x will be 3.36 cm.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The right triangle is given with a hypotenuse of 4 cm and an angle of 57°.

Then the value of x will be

The value of x will be given by the sine rule.

sin θ = x/h

WE have

θ = 57°

h = 4 cm

Then we have

sin 57° = x/4

x = 3.3546

x ≅ 3.36

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

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Answer:  if Lisa has  ?  sheets of paper and she uses 100 sheets and has 40 sheets left how many sheets of paper did she start with

Answer:

Can I be marked brainliest?

x = -1

Step-by-step explanation:

Switch it around

4 - 3x = 7

-3x + 4 = 7

Subtract 4 from both sides of the equation

-3x + 4-4 = 7-4

Simplify

-3x = 3

Divide both sides of the equation by the same term

-3x/-3 = 3/-3

x = -1

Answer:

-1

Step-by-step explanation:

 7=4-3x     Add like terms

-4  -4

3=-3x       Now divide

/3  /3

x=-1

Answer:

3:7

Step-by-step explanation:

The number of rabbits is 12 while the total number of animals

7 + 12 + 6 + 3 = 28

So the ratio of rabbits to animals is 12:28 = 3:7

Answer:

x=4

Step-by-step explanation:

Answer:

for question d, 58.3 repeated

Step-by-step explanation:

cross multiply 3x=175

175/3= 58.3 repeated or 58 and one third.

Answer:

first one

Step-by-step explanation:

Answer:

x

=

0, 1/3

x=x^3-x/2-9

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Answer:

either (3x7)x4   or (3)(7)(4)

Step-by-step explanation:

Answer:

k-9=10

k=10+9

k=19

take care of yourself

have a nice day