Answer:
(2/9)cis(30°)
Step-by-step explanation:
We can express the two numbers in magnitude∠angle form, then find their ratio.
|z1| = 3√((-1)² +(√3)²) = 3√4 = 6
∠z1 = arctan((3√3)/(-3)) = -arctan(√3) = 120°
z2 = 27∠90°
So, the ratio is ...
z1/z2 = (6∠120°)/(27∠90°) = (6/27)∠(120°-90°)
z1/z2 = (2/9)∠30°
Answer:
It will take 10.63 years.
Step-by-step explanation:
Giving the following information:
Present value (PV)= $4,000
Future Value (FV)= $10,000
Interest rate (i)= 9% annual compounded
<u>To calculate the time required to reach $10,000, we need to use the following formula:</u>
n= ln(FV/PV) / ln(1+i)
n= number of years
n= ln(10,000 / 4,000) / ln(1.09)
n= 10.63
It will take 10.63 years.
Answer:
They both have equal deals.
Step-by-step explanation:
Levi's jeans shop- $21.75
Lukes jean shop- $21.75
If two of them cost $43.50, to find unit price divide two into 43.50
43.50/2=21.75
Hope it helps!
Answer:
23
Step-by-step explanation:
She originally had 23 because if she gave away 6 bags of chips, she would have 17 left
-
17+6=23
double check answer:
23-6=17
The correct answer is option c
