Answer:
14a + 20
Step-by-step explanation:
8(a + 2) + 2(2 + 3a)
expand the bracket
8a + (8*2) + (2*2) + (2*3a)
8a + 16 + 4 + 6a
bring like terms together
8a + 6a + 16 + 4
14a + 20
The answer is c cause the answer is 16,741.55ft^2 and c is the closest to it
Given Mr. Engle’s total income, I = $52,000 and total expenses, E = $53,800, solving for average difference between income and expenses per month:
(I-E)/12 = ($52,000 - $53,800)/12
(I-E)/12 = - $1,800/12
(I-E)/12 = -$150
This means that Mr. Engle’s expenses exceed his income by an average of $150 each month in the said year.
Step-by-step explanation:
We will prove by contradiction. Assume that 
is an odd prime but n is not a power of 2. Then, there exists an odd prime number p such that 
. Then, for some integer 
,
Therefore
Here we will use the formula for the sum of odd powers, which states that, for 
and an odd positive number 
,
Applying this formula in 1) we obtain that
.
Then, as 
we have that 
is not a prime number, which is a contradiction.
In conclusion, if is an odd prime, then n must be a power of 2.
