Answer:
Step-by-step explanation:
From the question we are told that
System of equations given as
x₁ + 3x₂ + x₃ + x₄ = 3;
2x₁ - 2x₂ + x₃ + 2x₄ = 8;
x₁ - 5x₂ + x₄ = 5
Matrix form
Generally the echelon reduction is mathematically applied as
Add -2 times the 1st row to the 2nd row
Multiply the 2nd row by -1/8
Add -1 times the 2nd row to the 3rd row
Multiply the 3rd row by -8/41
Add -1/8 times the 3rd row to the 2nd row
Add -1 times the 3rd row to the 1st row
Add -3 times the 2nd row to the 1st row
Answer:
m = 300w OR w = m/300
Step-by-step explanation:
They start with 10k, but that's immediately sold, so they're back at a flat 0. Every week they gain 1000 but lose 700 for a net profit of positive 300.
Therefore, the maximum capacity would be 300 multiplied by the number of weeks. If we know the maximum, then the answer would be m (maximum) divided by 300.
Answer:
The amount of interest is $5580.
Step-by-step explanation:
Given : Jacob borrowed $30, 000 to start up his consulting business. The loan had simple interest rate of 6.2% for 3 years.
To find : The amount of interest he will pay with the loan ?
Solution :
Using interest formula,
Where, P is the principal P=$30,000
R is the rate of interest R=6.2%=0.062
T is the time t=3 years.
Substitute the value in the formula,
Therefore, The amount of interest is $5580.
Begin by subtracting 2b from both sides. This will give us
-ax > -2b +8
Then we will divide by -a. This division by a negative number changes the direction of the inequality sign. When we divide by -a:
Answer:
The answer is below
Step-by-step explanation:
Triangle FCD is cut from parallelogram ABCD moved with left-hand side. What are the dimensions of the resulting rectangle AEFD?
A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are parallel to each other.
A rectangle is a quadrilateral with opposite sides which are parallel and equal to each other. All the angles in a rectangle are at 90 degrees.
From the image, AD = z, FC = x, BF = w and BC = y. Hence:
EB = FC = x.
EF = AD = length = z; AE = FD = height = w
Therefore the dimensions of rectangle AEFD is length z and height w