We are given system of equations:
Equation 1: 3x + 4y = 12
Equation 2: - x - 6y = 10.
We need to find the coefficient matrix of the system.
<em>Note: A coefficient matrix is a matrix that is formed by the coefficients of the variables of the system.</em>
<em>In first equation 3x + 4y = 12 coefficient of x and 3 and coefficient of y is 4.</em>
<em>In second equation - x - 6y = 10 coefficient of x and -1 and coefficient of y is -6.</em>
<h3>Therefore, coefficient matrix is </h3>
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Answer: Natalie make $ 367.5 in a week in which she made $225 in sales .
Natalie make $ ( 300+x ) in a week in which she made $ x in sales .
Step-by-step explanation:
Base Salary of Natalie = $300
Also, she gets 30% of the her total sales for the week.
If total sales in a week = $225
commission = 30% of $225
= $ ( 0.30 × 225)
= $ 67.5
Natalie got = Base Salary + Commission
= $300 + $ 67.5
= $ 367.5
∴ Natalie make $ 367.5 in a week in which she made $225 in sales .
If total sales in a week = $x
commission = 30% of $x
= $ ( 0.30 × x)
= $ 0.30 x
Natalie got = Base Salary + Commission
= $ ( 300+x )
∴ Natalie make $ ( 300+x ) in a week in which she made $ x in sales .
Answer: the arc elasticity percentage change from 80 to 100 is 22%
Step-by-step explanation:
formula for arc-elasticity percentage change is given as;
{ [Xₙ - X₀] / [ (X₀+Xₙ) / 2] } × 100
X₀ is old value, Xₙis new value
Now from our question
old value X₀ = 80
new value Xₙ = 100
WE SUBSTITUTE
Arc-Elasticity = { [100 - 80] / [ (80+100) / 2] } × 100
Arc-Elasticity = { [20] / [ 180 / 2] } × 100
Arc-Elasticity = (20/90) × 100
Arc-Elasticity = 22.22 ≈ 22%
Therefore the arc elasticity percentage change from 80 to 100 is 22%
Answer:
2 1/20
Step-by-step explanation:
It was trick math problem and I was working it out, so mad I didn't pay attention to the numbers more closely. :)
There are two 3/8 but one is negative so they cancel each other out
So you have now (-4/5) + 5/4
Find the least common multiple they have.
In this case 20
-4/5 = x/20 = 16/20
5/4 = x/20 = 25/20
So now add them both together
16/20 + 25/20 = 41/20
Find the least common factor for both the denominator and numerator of 41/20
41 is a prime number so
41/20 is an improper fraction
Divide 41 by 20 to get 2 1/20
Answer:
1.50d=total
Step-by-step explanation:
hope it's right