Answer:
D
Step-by-step explanation:
-3x + 6 = 18...subtract 6 from both sides
-3x = 18 - 6
-3x = 12...divide both sides by -3
x = -12/3 reduces to -4 <===
This is a geometric sequence of the form:
a(n)=ar^(n-1) in this case a=150, r=1.1
a(n)=150(1.1)^(n-1) August is the eighth month so
a(8)=150(1.1)^7
a(8)=292.307565
So you deposited $292.31 (to the nearest cent) in August.
Answer with explanation:
Given : Number of men = 4
Number of women = 6
Total people = 
Total number of ways to make a committee of five people from 10 persons :-

a) Number of ways to make committee that has exactly four women :

The probability that committee has exactly four women :

b) Number of ways to make committee that has at-least four women :

The probability that committee at-least four women :

c) Number of ways that committee has more than 4 women :-

The probability that committee has more than 4 women :-

Now, the probability that committee has at most four women :-

Answer:
see explanation
Step-by-step explanation:
from the diagram
DF = DE + EF , that is
4x + 2 = x + 7 + 7
4x + 2 = x + 14 ( subtract x from both sides )
3x + 2 = 14 ( subtract 2 from both sides )
3x = 12 ( divide both sides by 3 )
x = 4
Then
DE = x + 7 = 4 + 7 = 11
DF = 4x + 2 = 4(4) + 2 = 16 + 2 = 18