The right answer is Option D: S>$300,000.
Step-by-step explanation:
Given,
Base salary of Alan = $18000
Commission = 9% = 
Amount Alan wants to earn = $45000 or more
Let,
s be the worth he needs to sell.
Therefore,
Base salary + Commission*Total sales>Amount Alan wants to earn
18000+0.09s>45000
Dividing both sides by 0.09
Alan must sold items that worth at least $300,000.
The right answer is Option D: S>$300,000.
Keywords: inequality, division
Learn more about inequalities at:
#LearnwithBrainly
ANSWER
9
EXPLANATION
We want to find the distance between the points (3, -5) and (-6, -5).
The given points have the same y-coordinates .
This means it is a horizontal line.
We use the absolute value method to find the distance between the two points.
We find the absolute value of the distance between the x-values.
The distance between the two points is
|3--6|=|3+6|=|9|=9
Answer:
150 mL
Step-by-step explanation:
Let x represent the quantity of 75% solution needed. The total amount of alcohol in the 60% mixture will be ...
75%·x + 10%·45 = 60%·(x+45) . . . . . there will be x+45 mL of solution in the end
0.15x = 22.5 . . . . . . . . . . . . . . . . . . . . simplify, subtract .60x+4.5
22.5/0.15 = x = 150 . . . . . . . . . . . . . . mL of 75% solution needed
You will need 150 mL of the 75% solution.
Answer:
Step-by-step explanation:
Volume = 198 ft
length * width * height = 198
(x - 1) * (x + 4) * 3 = 198
(x - 1) * (x + 4) = 198/3
(x - 1) * (x + 4) = 66
x*x + x*4 -1*x - 1*4 = 66 {Use FOIL method to multiply}
x² + 4x - x - 4 = 66
x² + 3x - 4 =66
x² + 3x - 4 - 66 = 0
x² + 3x - 70 = 0
Now factorize.
x² + 10x - 7x - 7*10 = 0
x(x +10) - 7(x + 10 ) = 0
(x + 10)(x - 7) = 0
x - 7 = 0 {x + 10 is ignored because measurement cannot be in negative}
x = 7
length = x - 1 = 7 - 1 = 6ft
Width = x + 4 = 7 + 4 = 11 ft
Answer:
≈ 15.08 units²
Step-by-step explanation:
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × 
( r is the radius )
= π × 6² ×
= 36π × = π × 
= 
≈ 15.08
