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Answer:
X > 21000
Step-by-step explanation:
Given the following :
Payment plans :
PLAN A:
salary = $1000 per month
Commision = 10% of sales
PLAN B:
salary = $1300 per month
Commision = 15% of sales in excess of $9,000
Hence, for plan B; 15% is paid after deducting $9000 from total sales
For what amount of monthly sales is plan B better than plan A if we can assume that Mike's sales are always more than $9,000.00?
That is ;
Plan B > plan A
Let total sales = x
Plan A:
$1,000 + 0.1x
Plan B:
$1,300 + 0.15(x - 9000)
1300 + 0.15(x - 9000) > 1000 + 0.1x
1300 + 0.15x - 1350 > 1000 + 0.1x
0.15x - 50 > 1000 + 0.1x
0.15x - 0.1x > 1000 + 50
0.05x > 1050
x > 1050/0.05
x > 21000
Check the picture below.
notice the bottom part of the picture, just using the tangent of the angle, we can get the angle itself, and you'd know what "x" and "y" are from the above part.
how much farther would they have to walk up? well, the hypotenuse of the longer triangle is "h", the hypotenuse of the shorter triangle is 122, so, they'd have to walk " h - 122 " more.
Since we know that t = 3.4 you put 3.4 where the t is.
2 (36 - 4 × 3.4) So what you do first is multiply 4 and 3.4 which gives you 13.6
2 (36 - 13.6) then you subtract 36 and 13.6 which gives you 22.4
2 (22.4) then you multiply 2 and 22.4 which is 44.8.
So your answer is 44.8
I hope that helped!