Answer:
x=7
Step-by-step explanation:
Solve.
7x-5x-3=x+4
Calculate like terms.
7x-5x=2x
Rearrange.
2x-3=x+4
Apply inverse addition.
2x-3+3=x+4+3
2x=x+7
Isolate 2x by subtraction.
2x-x=x-x+7
x=7
Answer:
Step-by-step explanation:
<u>How do you find the equation of a line parallel to another line?
</u>
<em>Method 1:</em> Using Slope Intercept Form
Substitute the slope from original line (3 in this case) into the equation of the line y = 3x + b.
Substitute the given point (1,7) into the x and y values 7 = 3(1) + b.
Solve for b (the y-intercept)
Substitute this value for 'b' in the slope intercept form equation y = 3x + 4.
<u>How do you find the Y intercept of a parallel line?
</u>
Step 1: Find the slope of the line. To find the slope of the given line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 3x – 5y = 9 is m = 3/5. Therefore, the slope of the line parallel to this line would have to be m = 3/5.
Answer:
55,440 ways
Step-by-step explanation:
In this situation, since the bonuses are different, the order of the sales reps receiveing the bonus matters, thus permutations should be used.
The number of ways to pay the bonuses in office A (pick 3 out of 12) is:
The number of ways to pay the bonuses in office B (pick 2 out of 7) is:
Considering both offices, the number of ways to pay out the bonuses is:
Answer:
$2125
Step-by-step explanation:
Given
P=$8,500
t=5
r=5%
So simple interest=8500×5×5/100
= 85×5×5
=$2125
So the interest is $2125
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