Answer:
25 percent; each section of the box plot counts as 25%
Answer:
We have
k^2 - 25f^2 + 5kf - 25f^2 =
k^2 - (5f)^2 + 5f( k - 5f) =
( k - 5f )( k + 5f ) + 5f( k - 5f ) =
( k - 5f )( k + 5f + 5f ) =
( k - 5f )( k + 10f );
Step-by-step explanation:
To answer we let x be the amount of money that Sam invested during the first year.
Below are the expressions translated from the given word forms for the amount invested.
Sam:
2nd year : amount = 5x/2 - 2000
3rd year : amount = x/5 + 1000
The sum of money invested by Sam is:
x + (5x/2 - 2000) + (x/5 + 1000)
Similarly, we derive the expressions that we use for the amount that Sally invested.
Sally
1st year : amount = 3x/2 - 1000
2nd year : amount = 2x - 1500
3rd year : amount = x/4 + 1400
The total amount that Sally invested is,
total = (3x/2 - 1000) + (2x - 1500) + (x/4 + 1400)
Equating the two equations:
(x) + (5x/2 - 2000) + (x/5 + 1000) = (3x/2 - 1000) + (2x - 1500) + (x/4 + 1400)
Solving for x,
x = 2000
For Sally's investment in the third year:
amount = x/4 + 1400 = (2000/4 + 1400) = 1900
ANSWERS:
Sam's first year = $2000
Sally's third year = $1900
Answer:
x = 126°
Step-by-step explanation:
x + 54 = 180°
x + 54 - 54 = 180 - 54
x = 126°
The ball should be aimed to the point of the wall that is about 45 degrees from the wall.
