Answer:
$3,929.25.
Step-by-step explanation:
First, calculate the total commission. That's found by multiplying the selling price ($155,000) by 0.065. The result: The total commission is $10,075.
Your company receives 60% of that. So we multiply $10,075 by 0.60, obtaining $6,045.
Your share of the commission is 65% of that, so we multiply $6,045 by 0.65:
0.65($6,045) = $3,929.25.
Your personal share of the commission is thus $3,929.25.
Given that the line passes through the two points (-3,4) and (2,8)
We need to determine the equation of the line.
<u>Slope:</u>
The slope of the line can be determined using the formula,

Substituting the points (-3,4) and (2,8) in the above formula, we get;


Thus, the slope of the line is 
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,

Substituting the point (-3,4) and
in the above formula, we have;




Thus, the equation of the line is 
Solving the expressions
we get 
Step-by-step explanation:
We need to Solve the expression: 
Solving:


Applying exponent rule: 

Another exponent rule says: 

So, solving the expressions
we get 
Keywords: Solving Exponents
Learn more about Solving Exponents at:
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If two angles are equal then the other angles will also be equal
Answer:
x = 1 or x = -5
Step-by-step explanation:
We are given;
- The quadratic equation, x² + 4x - 13 = -8
We are required to solve the equation using the completing square method.
To do this, we use the following steps;
Step 1: We make sure the coefficient of x² is one
x² + 4x - 13 = -8
Step 2: Combine the like terms (take the constant term to the other side)
x² + 4x - 13 = -8
x² + 4x = -8 + 13
we get
x² + 4x = 5
Step 3: We add the square of half the coefficient of x on both sides of the equation
Coefficient of x = 4
Half of coefficient of x = 2
Square of half the coefficient of x = 2² (4)
We get;
x² + 4x + (2²) = 5 + (2²)
Step 4: Put x and 2 under one square and the solve the other side of the equation.
We get
(x + 2)² = 5 + 4
(x + 2)² = 9
Step 5: Get the square root on both sides of the equation;
(x + 2)² = 9
√(x + 2)² = ±√9
(x + 2)= ±3
Therefore;
x+2 = + 3 or x + 2 = -3
Thus, x = 1 or -5
The solution of the equation is x = 1 or x = -5