Answer:
Solutions are;
x = -8
x = -3.2
Step-by-step explanation:
Here, we want to solve the given equation for x
|(x-4)/(x + 5)| = 4
From what we have, this is an absolute value equation and thus, we are going to have two solutions
These are;
x-4/x+ 5 = 4
x-4 = 4(x + 5)
x-4 = 4x + 20
x-4x = 20 + 4
-3x = 24
x = -24/3
x = -8
secondly;
x-4/x+5 = -4
x-4 = -4(x + 5)
x-4 = -4x - 20
x + 4x = -20 + 4
5x = -16
x = -16/5
x = -3.2
Answer:
Proved
Step-by-step explanation:
To prove that every point in the open interval (0,1) is an interior point of S
This we can prove by contradiction method.
Let, if possible c be a point in the interval which is not an interior point.
Then c has a neighbourhood which contains atleast one point not in (0,1)
Let d be the point which is in neighbourhood of c but not in S(0,1)
Then the points between c and d would be either in (0,1) or not in (0,1)
If out of all points say d1,d2..... we find that dn is a point which is in (0,1) and dn+1 is not in (0,1) however large n is.
Then we find that dn is a boundary point of S
But since S is an open interval there is no boundary point hence we get a contradiction. Our assumption was wrong.
Every point of S=(0, 1) is an interior point of S.
Answer: A = 4400(1 + 0.0825 x 22)
Step-by-step explanation:
A = accumulated amount
P = original amount unloaded- $4400
r = rate - 8.25% = 0.0825
t = years = 22
= 4400(1 + 0.0825 x 22)
Answer:
60
Step-by-step explanation:
when you multiply 100 by .6 it equals 60