Answer:
<h3>The option A)
is correct answer.</h3><h3>The correct simplification for the given expression
is
</h3>
Step-by-step explanation:
Given expression is x to the 12th power times z to the 11th power all over x to the 2nd power times z to the 4th power.
The given expression can be written as
<h3>To choose the correct simplification of the given expression :</h3>
Now we have to simplify the given expression as below
( by using the identity 
)
( by using the identity 
)
∴ 
<h3>The correct simplification for the given expression
is
</h3><h3>Hence option A)
is correct answer.</h3>
Answer:
$<em>150,858.5</em>
Step-by-step explanation:
The formula for calculating compound interest is expressed as;
A = P(1+r/n)^nt
P is the Principal = $124000.00
r is the rate = 12% = 0.12
t is the total time = 2 years
n is the time of compounding = 1/4 = 0.25(quarterly)
Substitute into the formula;
A= 124000(1+0.12/(0.25))^(0.25)(2)
A = 124000(1+0.48)^0.5
A = 124000(1.48)^0.5
A = 124000(1.2166)
A = 150,858.5
<em>The amount after 2 years if compounded quarterly is 150,858.5</em>
Answer:
To prove:
X+Y.Z=(X+Y).(X+Z)
Taking R.H.S
= (X+Y).(X+Z)
By distributive law
= X.X+X.Z+X.Y+Y.Z --- (1)
From Boolean algebra
X.X = X
X.Y+X.Z = X.(Y+Z)
Using these in (1)
=X+X(Y+Z)+Y.Z
=X(1+(Y+Z)+Y.Z --- (2)
As we know (1+X) = 1
Then (2) becomes
=X.1+Y.Z
=X+Y.Z
Which is equal to R.H.S
Hence proved,
X+Y.Z=(X+Y).(X+Z)
