P = $3,471.52, the principal
r = 3.1% = 0.031, annual ratr
n = 12, monthly compounding
t = 21 years
Note that n*t = 252.
The value after 21 years is
A = 3471.52*(1 + 0.031/12)²⁵²
= $6,650.91
The interest earned is
6650.91 - 3471.52 = 3179.39
Answer: $3,179.39
Step-by-step explanation:
6x+3=10
6x=10-3
6x=7
x=7/6
Answer is choice D. The other choices involve dilations, or scalings, which basically make the graph taller or flatter depending on what the scale factor is. In the case of f(x-1/2)+3, we shift f(x) to the right 1/2 a unit and up 3.
ANSWER
A. The domain is the set of all real numbers.(True)
D. The range is the set of all real numbers. (True)
EXPLANATION
The given graph represent a polynomial function.
Polynomial functions are defined for all real values of x.
Also x is defined for all real values of y.
The first and the last options, A and D, are true.
Options B and C are false.
Solution :
We have to prove that 
(De-Morgan's law)
Let 
then 
and 
and so 
and 
.
Thus, 
and so 
Hence, 
.........(1)
Now we will show that 
Let ⇒
Thus x is present neither in the set A nor in the set B, so by definition of the union of the sets, by definition of the complement.
and 
Therefore, 
and we have .............(2)
From (1) and (2),
Hence proved.
