Answer:
-sqrt(3) -i = 2 cis (7pi/6)
Step-by-step explanation:
-sqrt(3) -i
We can find the radius
r = sqrt( (-sqrt(3)) ^2 + (-1) ^2)
= sqrt( 3 + 1)
= sqrt(4)
= 2
theta = arctan (y/x)
arctan (-1/-sqrt(3))
arctan (1/sqrt(3))
theta = pi/6
But this is in the first quadrant, and we need it in the third quadrant
Add pi to move it to the third quadrant
theta = pi/6 + 6pi/6
=7pi/6
-sqrt(3) -i = 2 cis (7pi/6)
Assuming that I earn 4% of $2,500 per year, I would earn $800 after 8 years.
Answer:
720 possible orders
Step-by-step explanation:
To order 6 people in a line, let's imagine them as 6 possible spaces:
( )( )( )( )( )( )
Going from left to right, let's start with space 1.
There are 6 possibilities for space 1 as any of the 6 people could occupy that space in the line.
(6)( )( )( )( )( )
Next, since one person will have already occupied space 1, there are only 5 people left who can occupy space 2, so there are 5 possibilities for space 2:
(6)(5)( )( )( )( )
Continuing in this fashion, there are now only 4 people left so 4 possibilities for space 3 and etc.
(6)(5)(4)(3)(2)(1)
This means we have 6,5,4,3,2 and 1 possibilities for each space respectively.
Multiply them together and we have:
6x5x4x3x2x1 = 720 possible orders.
Hope this helped!
x squared plus 9 plus 53. x squared plus 62. square root both sides. x equals 7.9 or 8.
Hope this helps.
Answer:
$15.00
Step-by-step explanation:
