Vanessa earns a base salary of $400.00 every week with an additional %5, percent commission on everything she sells. Vanessa sold $1650.00 worth of items last week. What was Vanessa's total pay last week?

Answer:

C

Step-by-step explanation:

I took it on edg 2020

The Complex Alternative form to the expression (5[cos(π/4) + i sin(π/4)])^3 is given as: (Option C).

A complex number of equations will take the form x + yi, where x and y are real numbers and i is an indeterminate that satisfies the rule i² = -1.

Hence, the solution to the above is given as follows:

Step 1 - Ludooph's number pi is given as:

π ≈ 3.14159265

Step 2 - Divide  3.14159265/4

= 0.78539816

Step 3

Cos (0.78539816)

= 0.70710678

It is assumed that the trigonometric angle argument is in radians.

Step 4

Divide: 3.14159265 / 4

= 0.78539816

Step 5 - find the Sin of the result of step 4

sin(0.78539816)

= 0.70710678

It is assumed that the trigonometric angle argument is in radians.

Step 6

Multiply i by the result of Step No 5

=  i * 0.70710678

= 0.7071068i

Step 7 - Add the result of step no. 3 and the result of step number 6

= 0.70710678 + 0.7071068i

= 0.7071068+0.7071068i

Step 8 Multiply 5 by the result of step 7

= 5 * (0.7071068+0.7071068i)

= 5 * 0.70710678118655 + 5 * 0.70710678118655i

= 3.53553391+3.53553391i

= 3.53553391 +i(3.53553391)

= 3.5355339+3.5355339i

Step 9 - Exponentiate the results of Step 8 to the third power:

= (3.5355339+3.5355339i) ^ 3

= (5 × ei π/4)3 = 53 × ei 3 × π/4

= 125 × ei 3π/4

= -88.3883476+88.3883476i

If left in the Alternate Complex form, we have:
125[cos(3π/4) + i sin(3π/4)]

Learn more about Complex Forms at:
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Answer:

A≈31415.93cm²

Step-by-step explanation:

Answer:

commercial =  9

movie = 5

Step-by-step explanation:

Step one:

let the number of commercials be x and movies be y

so

40x+130y=1010-------------1

since there are a total of 14 commercials and movies combined

x+y=14--------------2

Hence the systems of equation is

40x+130y=1010------1

x+y=14-------------------2

Step two:

from equation 2

x=14-y

substui]te the value of x in  equation 1

40(14-y)+130y=1010

560-40y+130y=1010

collect like terms

130y-40y=1010-560

90y=450

divide both sides by 90

y=450/90

y=5

movies is 90

put y=5 in equation 2

x+5=14

x=14-5

x= 9

commercial is 9 in numbers

and movie is 5

Answer:

40c+130m=1010

c+m=14

Step-by-step explanation:

Let c=the number of commercials

Let m=the number of movies

​

system of equations:

40c+130m=1010

c+m=14

Answer:

hope this helps...

Step-by-step explanation:

If this helped you please comment me...

Answer:

sorry for bad picture hope it helps you have a great day keep smiling be happy stay safe

Answer:

86.1

Step-by-step explanation:

because if it it trigonometry u do the inverse operation of tan

so its tan-1 (215/15)

=86.0090869

if u want to round to 3sf its 86.1

hope it helped

Answer:

infinite solutions

Step-by-step explanation:

Given

x + 3 + 2x = 4 + 3x - 1 ( simplify both sides )

3x + 3 = 3x + 3

Since the equation is the same on both sides.

This indications the equation has an infinite number of solutions

Answer:

g = 8

Step-by-step explanation:

first move 20 to the right side of the equation by subtracting it. so the equation becomes 0.25g= 22-20 --> 0.25 = 2 and then divide 2 by 0.25 and g will equal 8. you can also plug in 8 for g to check your answer.

Answer:

g = 8

Step-by-step explanation:

First we want to simplify the sides so we will subtract 20 fror each side

.25g =2

then we need to divide each side by .25 to get g isolated or by itself to find the answer

g = 8

If you plug it back into the equation it will be true

20 + (.25 * 8) = 22

Answer:

[tex]\angle FCB[/tex]

Step-by-step explanation:

Supplementary angles are angles that sum to [tex]180^{\circ}[/tex]. In this case, [tex]\angle FCB[/tex] is supplementary to [tex]\angle DCF[/tex] since they add up to the angle of a straight line which is [tex]180^{\circ}[/tex].

Hope this helps :)

Answer:

x= 34    y= 99    z= 41

Step-by-step explanation: A.

Answer:

D

Step-by-step explanation:

First I solved for the triangle on the right by adding 58 and 81 then subtracting by 180 and I got 41 degrees for the missing angle. Now for the left triangle you subtract 47 from 180 and you get 133. Answer choice D is the only answer choice that has x and y equal to 133 this is why answer choice D is the correct solution.

If you liked my answer then please mark it as the brainliest it would be much appreciated. Thanks!

Answer:

4

Step-by-step explanation:

Answer:

the answer is -3

have a nice day

Answer:

where is the graph

Step-by-step explanation:

did your teacher put in a graph

you got find out if the 800 is in ml or a diffent one

Answer:

[tex]m=0[/tex]

Step-by-step explanation:

Given the points

(-8,-3)and(-12,-3)

The slope between the points  (-8,-3) and (-12,-3) can be determined

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-8,\:-3\right),\:\left(x_2,\:y_2\right)=\left(-12,\:-3\right)[/tex]

[tex]m=\frac{-3-\left(-3\right)}{-12-\left(-8\right)}[/tex]

[tex]m=0[/tex]

Answer:

Step-by-step explanation:

this is a function because any x value you plug in will have only one unique y value

Answer:

y=4x is a function

Step-by-step explanation:

Answer:

g(-2) = 6

General Formula and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

g(x) = -4x - 2

g(-2) is x = -2

Step 2: Evaluate

Hope this helps explain what was needed to be solved! :)

Answer:

Im going to guess a i have no idea tho

Step-by-step explanation:

Answer:

a. 90 pizzas

b. 12% decrease

Step-by-step explanation:

To receive a bonus, there must be 20% increase in the number of pizzas

Thus;

20% of 75 = 20/100 * 75 = 1500/100 = 15

So the number of pizza to be sold to receive the bonus will be 15 + 75 = 90

So now, we have 66 pizza sold today;

We can see that there was a decrease from 75

Percentage decrease will be;

(new value - old value)old value * 100%

= (66-75)/75 * 100%

= -9/75 * 100%

= -0.12 * 100% = -12%

This shows a 12% decrease

Answer:

$15

Step-by-step explanation:

let the hourly rate of pay for Ben  = B

let the hourly rate of pay for Judy  = J

Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75;

              4J + B = 75 ----- i

Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120

               2J + 6B  = 120 --- ii

Now, we should solve the expression;

   Multiply equation ii by 2 and equation i by 1;

            4J + B = 75 ----- i    x 1  ;    4J + B  = 75          -- iii

            2J + 6B  = 120 --- ii  x 2 ;   4J + 12B  = 240    ---iv

Now,

 equation iv - iii;

                   11B  = 165

                      B  = $15

So, solving for J;

          4J + B = 75

         4J + 15  = 75

          4J  = 75 - 15  = 60

          J  = $15

Answer:

lol is this a test? are u cheating!!!!???

Step-by-step explanation:

Answer:

B (6:17)

Step-by-step explanation:

The values of red and white are 8 and 4, so you add them. The ratio should then be 12:34 because 34 is the total of all values. When simplified, 12:34=6:17

Answer:

im thinking c add them all together and you get that 17:6 if u kow how to add :^

Step-by-step explanation:

Answer:

The description of the set is [tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex].

Step-by-step explanation:

From Complex Analysis, we remember that complex numbers are numbers whose form is:

[tex]s = a+i\, b[/tex], [tex]a,b \in \mathbb{R}[/tex] (1)

Where [tex]i = \sqrt{-1}[/tex].

In addition, the distance from the origin is defined by the following Pythagorean identity:

[tex]\|s\| = \sqrt{a^{2}+b^{2}}[/tex] (2)

The following condition must be satisfied:

[tex]\|s\| = 2[/tex]

Then, the set of all complex numbers that are at a distance of 2 units from the origin is described below:

[tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex] (3)

The set of all complex numbers that are at a distance of 2 units from the origin is [tex]\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]

A complex number, written in rectangular form is

[tex]z=a+ib\\a,b\in \mathbb{R}[/tex]

The distance of a complex number from the origin (the modulus of the complex number, denoted by [tex]|z|[/tex]) is given by the formula

[tex]|z|=\sqrt{a^2+b^2}[/tex]

Since we want all the complex numbers to be at the distance of 2 units from the origin, they must satisfy

[tex]|z|=2[/tex]

thus, the set we are looking for is

[tex]D=\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]

where [tex]\mathbb{C}[/tex] is the set of all complex numbers

Learn more about complex numbers here: https://brainly.com/question/12274048

Answer:

0

Step-by-step explanation:

3x2.6x0=0

Answer:

-0.9

Step-by-step explanation:

0.6(x+2)=0.55(2x+3)

Use the distributive property to multiply 0.6 by x+2.

0.6x+1.2=0.55(2x+3)

Use the distributive property to multiply 0.55 by 2x+3.

0.6x+1.2=1.1x+1.65

Subtract 1.1x from both sides.

0.6x+1.2−1.1x=1.65

Combine 0.6x and −1.1x to get −0.5x.

−0.5x+1.2=1.65

Subtract 1.2 from both sides.

−0.5x=1.65−1.2

Subtract 1.2 from 1.65 to get 0.45.

−0.5x=0.45

Divide both sides by −0.5.

x= 0.45/−0.5

x= -0.9

​

Answer:

This question is actually a riddle. The answer to this riddle is, "Buoy meets gull."

Step-by-step explanation:

Answer:

ligand-gated channel.

Step-by-step explanation:

Answer:

105.2

Step-by-step explanation:

54+50=104

.79+.23=1.02

104+1.02=105.2

Hope this helps.

Answer:$4.56

Step-by-step explanation:Take $54.79 and subtract it by $50.23, to see the difference in how much more money Rachel earned.