Answer:
Step-by-step explanation:
Answer:
the last one
Step-by-step explanation:
Answer:
The mark up price of the sweater would be $59.04
Answer:
The number of possible combinations is 180
Step-by-step explanation:
The numbers to select from are 3-8
These are 6 numbers
Now, the restriction we have is that the 3 characters cannot be the same
For the first character, we have 6 choices;
For the second character, we have another 6 choices
For the last character, since it cannot be the same, we can only have 5 choices
So the possible number of choices will be;
6 * 6 * 5 = 189 combinations
Answer:
The other end point is: s+ti = 3+9i
Step-by-step explanation:
Mid-Point(M) in the complex plane states that the midpoint of the line segment joining two complex numbers a+bi and s+ti is the average of the numbers at the endpoints.
It is given by: 
Given: The midpoint = -1 + i and the segment has an endpoint at -5 - 7i
Find the other endpoints.
Let a + bi = -5 -7i and let other endpoint s + ti (i represents imaginary )
Here, a = -5 and b = -7 to find s and t.
then;
[Apply Mid-point formula]
On comparing both sides
we get;
and 
To solve for s:
or
-2 = -5+s
Add 5 to both side we have;
-2+5 = -5+s+5
Simplify:
3 = s or
s =3
Now, to solve for t;

2 =-7+t
Add 7 to both sides we get;
2+7 = -7+t+7
Simplify:
9 = t
or
t =9
Therefore, the other end point (s+ti) is, 3+9i