Note that (a+b)^2 = a^2 + 2ab + b^2.
Therefore,
b^x (b^x )^2
<span>(2a^x +1/2 b^x)^2 becomes (2a^x)^2 + 2(2a^x)(-------- ) + ------------
2 4
LCD is 4. Thus, we have
4 [ (2a^(2x) ] + 8</span>a^x*b^x + b^(2x)
<span> </span>
Answer:
slope = - 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (4, - 1)
m = 
= -
The general equation is y-k=a(x-h)² where (h,k) is the vertex.
So in this case we have y+12=a(x+6)².
Plug in x=0, y=-24: -12=36a, and a=-⅓. Therefore y+12=-⅓(x+6)².
You need a compound interest formula solved for principal:
Principal = Total ÷ (1 + Rate)<span> ^ years
</span><span>
Principal = 40,000,/ (1.056) ^ 4
</span><span><span><span>Principal = 40,000 / 1.2435282985
</span>
</span>
</span>
Principal =
<span>
<span>
<span>
32,166.54
</span>
</span>
</span>
So, 32,166.54 deposited for 4 years at 5.6% interest (compounded annually) produces $40,000.
Source:
http://www.1728.org/compint2.htm
