Y= 6x + 1.
6x represents six times, and the +1 is “one more.”
<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>.
We know that
1) <span>Luis bought stock at ---------------> $66.80
2) </span><span>The next day, the price increased $13.85--------> $66.80+$13.85=$80.65
3) </span><span>This new price changed by −2 3 /4 % the following day
2 3/4%----> (2*4+3)/4----> 11/4 %----> 2.75%
so
(100%-2.75%)-----> 97.25%
t</span><span>he final stock price is $80.65*0.9725-----> $78.43
the answer is
</span>$78.43<span>
</span>
Answer: D (1.5,0.5)
Step-by-step explanation:
It's not negative so cross out all those questions that leaves you with C and D. Now we can see that it's past the 1 point so it's in the 1.0 range and0. Range and Cs answer has 3 y on it which is incorrect. So that leaves you with D.
(new - original)/original = mark up
(78.08-64)/64= mark up
14.08/64 =mark up
.22 = mark up
multiply by 100 to get to a percent
mark up = 22 percent
