They are congruent angles
Answer:
A)
Blue: 
Red: 
B)
Blue: 
Red: 
C)
No the experimental probabilities found in "A" are not equal to the probabilities found in "B". The sample size of the the experiment was not large enough to reflect the actual probability.
D)
Blue: 80
Yellow: 50
Red: 40
Orange: 30
Answer:
It takes 22.52 years for the balance to triple in value.
Step-by-step explanation:
Continuous compounding:
The amount of money earned using continuous compounding is given by the following equation:

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.
Interest rate of 5%.
This means that
, and thus:



Time for the balance to triple?
This is t for which
. So







It takes 22.52 years for the balance to triple in value.
Answer:
<u>Third Option</u>: 
Step-by-step explanation:
Given the points on the graph, (4, 5) and (-4, -5):
In order to determine the equation of the given graph in slope-intercept form, y = mx + b:
Use the given points to solve for the slope:
Let (x₁, y₁) = (-4, -5)
(x₂, y₂) = (4, 5)
m = (y₂ - y₁)/(x₂ - x₁)

Therefore, the slope of the line is:
.
Next, use one of the given points on the graph, (4, 5) to solve for the y-intercept, b:
y = mx + b
5 =
+ b
5 = 5 + b
5 - 5 = 5 - 5 + b
0 = b
Therefore, the linear equation in slope-intercept form is:
. The correct answer is Option 3.
Answer:
$0.40 per minute
Step-by-step explanation:
You divide 6.40 by 16 to get 0.40.
To fact check this, I multiplied 0.40 by 16 and got 6.40.