Let's deal with each factor in the numerator individually first: when evaluating the power of a power, you have to multiply the exponents: 
So, we have
^{-\frac{1}{2}} = 3^{2\cdot(-\frac{1}{2})} = 3^{-1},\quad (9^4)^{-1} = 9^{-4}](https://tex.z-dn.net/?f=%20%5Btex%5D%283%5E2%29%5E%7B-%5Cfrac%7B1%7D%7B2%7D%7D%20%3D%203%5E%7B2%5Ccdot%28-%5Cfrac%7B1%7D%7B2%7D%29%7D%20%3D%203%5E%7B-1%7D%2C%5Cquad%20%289%5E4%29%5E%7B-1%7D%20%3D%209%5E%7B-4%7D)
Now remember that 
and 
to rewrite the expression as
Now use the rules
to conclude
The boys have 2 group of 7 and the girls divided in to 3 groups of 7
Answer:
range: (-5, ∞)
domain: (-∞, ∞)
Step-by-step explanation:
given vertex, absolute minimum: (-3, -5)
Range look at y-value
(minimum, maximum) the -5 will be on the left of the comma b/c its the min
If this was a max, you would put the y-value on the right side of the comma
Answer:
5,040.00
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year.
Solving our equation:
A = 8000(1 + (0.07 × 9)) = 13040
A = $13,040.00
The total amount accrued, principal plus interest, from simple interest on a principal of $8,000.00 at a rate of 7% per year for 9 years is $13,040.00.
