<span>P(liberal | State A) means that probability of liberal candidates to be voted for within state A. This probability could be calculated by the pattern: number of successful events/total events. The successful events referred here is the number of liberal votes in state A. That is equal to 22. The total events is the total number of votes in state A which is 40.
Thus, the probability is 22/40 = 0.55</span>
Let the total amount that Sarah deposited be $x
using the annuity formula:
A=P[((1+r)^n-1)/r]
A=future value
r=rate
n=number of years
from the information given:
A=$500000
r=2.75%
n=65-42=23 years
p=$x
thus plugging our values in the formula we get:
500000=x[((1+0.0275)^(23)-1)/(0.0275)]
500000=31.50x
x=15,872.04883
She deposited 15,873.04883 per year
The monthly deposit will therefore be:
15873.04883/12=$1322.67
Answer:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.
Step-by-step explanation:
1)Write down the formula for finding the volume of a rectangular prism. The formula is simply V = length * width * height.
2)Find the length.
3)Find the width.
4)Find the height.
5)Multiply the length, the width, and the height.
6)State your answer in cubic units.
Answer:
6
√
(
3
x
+
5
)
(
3
x
−
2
)
Step-by-step explanation:
Answer:
Step-by-step explanation:
From C-A, it goes from y=1 to y=5, so that 4 units
From A-B, it goes from x = -1 to x = 4, that is 5 units
Now, to find distance from B to C, we need to use the distance formula:
Where the variables are the respective points of B and C,
B (4,5) & C(-1,1)
So x_1 =4, y_1=5, x_2=-1, y_2=1
Plugging into the formula we get:
Summing it all (perimeter is sum of 3 sides):
Distance = 
3rd answer choice is right.
