We are told that the employer matches 25% of Bianca's contributions to her 401(k). We are also told that Bianca's salary is $50,000 a year, of which she contributed $6000 to her own 401 (k). Her salary is not necessary to solve this, simply knowing how much she put into her 401(k) is enough information.
We can solve for 25% of $6000.
$6000 x 0.25 = $1500.
The employer should contribute $1500 to her 401(k), however, the question also states that they will contribute 25% UP TO $1000. Since 25% of 6000 is greater than 1000, the employer's contribution to the 401(k) will be $1000.
Answer: B = (6,-8)
Step-by-step explanation:
first the midpoint formula is 
then you take the x co-ordinate of A and substitute it into one of the x values in the first part of the formula:
then solve it like an equation:
then you take the y co-ordinate of A and substitute it into one of the y values in the second part of the midpoint formula:
then solve it like an equation:
∴ the answer is x=6, y= -8
which is expressed as a point, B(6,-8)
2x -3y = 13
4x -y = -9
Multiply the second equation by -3 to make the coefficient of Y opposite the first equation.
4x -y = -9 x -3 = -12x + 3y = 27
Now add this to the first equation:
2x -12x = -10x
-3y +3y = 0
13 +27 = 40
Now you have :
-10x = 40
Divide each side by -10:
x = 40 / -10
x = -4
Now you have a value for x, replace that into the first equation and solve for y:
2(-4) - 3y = 13
-8 - 3y = 13
Add 8 to both sides:
-3y = 21
Divide both sides by -3:
y = 21/-3
y = -7
Now you have X = -4 and y = -7
(-4,-7)
Answer:
A. Five and two eighths feet.
Step-by-step explanation:
42 (feet of yarn) ÷ 8 (equal parts) = 5.25 (feet of yarn that each part is)
5.25 =
or
because 1/4 = 2/8.
Hope this helps!
