<em>z</em> = 3<em>i</em> / (-1 - <em>i</em> )
<em>z</em> = 3<em>i</em> / (-1 - <em>i</em> ) × (-1 + <em>i</em> ) / (-1 + <em>i</em> )
<em>z</em> = (3<em>i</em> × (-1 + <em>i</em> )) / ((-1)² - <em>i</em> ²)
<em>z</em> = (-3<em>i</em> + 3<em>i</em> ²) / ((-1)² - <em>i</em> ²)
<em>z</em> = (-3 - 3<em>i </em>) / (1 - (-1))
<em>z</em> = (-3 - 3<em>i </em>) / 2
Note that this number lies in the third quadrant of the complex plane, where both Re(<em>z</em>) and Im(<em>z</em>) are negative. But arctan only returns angles between -<em>π</em>/2 and <em>π</em>/2. So we have
arg(<em>z</em>) = arctan((-3/2)/(-3/2)) - <em>π</em>
arg(<em>z</em>) = arctan(1) - <em>π</em>
arg(<em>z</em>) = <em>π</em>/4 - <em>π</em>
arg(<em>z</em>) = -3<em>π</em>/4
where I'm taking arg(<em>z</em>) to have a range of -<em>π</em> < arg(<em>z</em>) ≤ <em>π</em>.
I think its B. False if im wrong sorry hope this helped tho :p
Answer:
D is your answer
Step-by-step explanation:
y = x - 3
y = 2
x = 5
now insert the x and y into the equation
2 = 5 - 3
then subtract
2 = 2
last to find out if your right when both numbers equal each other like 2 = 2 then that will be you answer to your problem
Answer:
a. $56
b. $196
Step-by-step explanation:
a. Markup price
= 40% of 140
= 0.40*140
= $56
b. Selling Price
= $140 + $56
= $196
Rewrite the percentage as a decimal:
8% = 8/100 = 0.08
Multiply the previous result by 24000:
24000*0.08 = $1920
