Step-by-step explanation:
Length = L
Width = W
L=8 more than 2W
L = 8 * 2W
L = 16W
Perimeter = 96
perimeter is the lengths of all sides added together
so
2L + 2W = 96
we have
L = 16W
2L + 2W = 96
let's do substitution
put what L = into 2L + 2W = 96
so
2(16W) + 2W = 96
can you rearrange that to get w
put answer in comment
For this case we have that by definition, it is called arcsine (arcsin) from a number to the angle that has that number as its sine.
We must find the 
. Then, we look for the angle whose sine is 
.
We have to, by definition:
So, we have to:
Answer:
Option B
The problem is an arithmetic sequence with:
a₁ = 206,300
an = 208,400
n = 2013 - 2000
n = 13
To find the annual increase, use this following formula
an = a₁ + d(n - 1)
d represents the annual increase
Input the numbers
an = a₁ + d(n - 1)
289,400 = 206,300 + d(13 - 1)
289,400 = 206,300 + 12d
289,400 - 206,300 = 13d
83,100 = 12d
12d = 83,100
d = 83,100/12
d = 6,925
The annual increase is $6925
Answer:
$20
Step-by-step explanation:
Bin A: Bin B: Bin W:
white ball: 20% $1: 75% $8: 5/6
black ball: 80% $7: 25% $500: 1/6
first we can calculate the expected return of bins B and W:
expected return if the ball is black = ($1 x 75%) + ($7 x 25%) = $2.50
expected return if the ball is white = ($8 x 5/6) + ($500 x 1/6) = $90
expected return of the game = (expected return of a black ball x probability of choosing a black ball) + (expected return of a white ball x probability of choosing a white ball) =($2.50 x 80%) + ($90 x 20%) = $2 + $18 = $20
