On the complex plane, the number
is mapped onto the point with coordinates
.
In other words, the x coordinate is the real part of the number, while the y coordinate is the complex part of the number.
Viceversa, if you start from a point
, you can identify the number
.
So, the endpoints of the diagonal are the points
and
. These are points A and C in the attached figure.
This means that points B and D have coordinates

So, the correspondant complex numbers are

Answer:
The modes are 9 and 11
Step-by-step explanation:
To solve this we are going to find the least common multiple of 8 and 12.
Remember that the least common multiple (LCM) of tow or more numbers is the smallest positive number that is multiple of those two or more numbers.
To find our LCM we are going to list the multiples of 8 and 12, and then, we are going to select the first common number in those lists:
Multiples of 8: 8,16,24,32,40,....
Multiples of 12: 12,24,36,48,...
Notice that the first common value between the two list is 24, and that is precisely the number of days it will take for drawing sessions to coincide.
We can conclude that after 24 days both<span> art studios will start a new drawing session on the same day.</span>
Answer:
P = 1039.5
Step-by-step explanation:
Given:-
- The initial amount deposited, Po = 500
- The interest rate applied, I = 5% compounded annually
Find:-
- The amount on her bank statement after 15 years?
Solution:-
- We see that the principal amount increases every year and no transactions have been made in the course of 15 years.
The total amount left in her savings account would be given by the following formula:
P = Po * ( 1 + I/100 )^n
- Where, n = number of years passed since deposit. (15 years)
P = 500 * ( 1 + 5/100 )^15
P = 500 * (1.05)^15
P = 1039.5
Answer:
755170/9976140 x 100
= 7.56976 %
= 8 % or (to the nearest 10th 10%) of Canada
Step-by-step explanation: