A=p(1+r)^t
A=15,000×(1+0.06)^(5)
A=20,073.38
1 gallon = 16 cups. She is making 2 gallons so needs 32 total cups.
The ratio is 4:3:1
Add the ratios: 4+ 3 + 1 = 8
Divide total cups by total ratio:
32/8 =4
Now multiply that by each portion of the ratio:
Grape juice = 4 x 4 = 16 cups
Pineapple juice = 3x4 = 12 cups
Cider = 1x 4 = 4 cups
She needs 12 cups of pineapple juice.
Answer:
B
Step-by-step explanation:
The black graph is the graph of y=f(x).
The red graph is the reflection of the black graph across the y-axis.
A.
determines the translation of the graph
one unit to the right.
B.
determines the reflection of the graph
across the y-axis.
C.
determines the translation of the graph
one unit up.
D.
determines the reflection of the graph
across the y-axis.

Why?
We have the isosceles right triangle. The length of legs are 6. Use the Pythagorean theorem:

In general, the formula for calculating the hypotenuse in an isosceles right triangle is 
a - a leg, h - a hypotenuse
I believe it is 3,4 4,5 3,6