Answer: B.) -4+3
Step-by-step explanation:
The model represents "-4+3" because the blue arrow (top) stops at 3 which is a positive and the red arrow (bottom) stops at -4 which is a negative.
Answer:
x >= -6
Step-by-step explanation:
Multiply:
(1/3)x + 1 >= (1/2)x + 1/2 - (-1/4)x
Combine like terms:
(1/3)x + 1 >= (1/4)x + 1/2
Move the x's on one side and the integers on another:
(1/3)x - (1/4)x >= 1/2 - 1
(1/12)x >= -1/2
x >= -6
I hope this helped! :D
Answer:
22.8 m/s at 17.4°
Step-by-step explanation:
Horizontal component:
vₓ = 3 + 20 cos 20° = 21.8
Vertical component:
vᵧ = 0 + 20 sin 20° = 6.84
Magnitude:
v² = vₓ² + vᵧ²
v² = (21.8)² + (6.84)²
v = 22.8 m/s
Direction:
θ = atan(vᵧ / vₓ)
θ = atan(6.84 / 21.8)
θ = 17.4°
The answer to this is 2/5.
We can solve this by dividing both 16 and 40 by 8, which is their largest common factor.
In addition, all ratios can be written as fraction form.
Therefore, after the simplification, 16 to 40, also 16/40, is turned to 2/5.
Answer:
$1302
Step-by-step explanation:
We have been given that employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax), while employers paid another 6.2%. We are asked to find the amount paid by someone towards social security out of their gross wages earning $31,000 a year.
The amount paid by a person earning $31,000 a year towards FICA tax would be 4.2% of $31,000 because employers pay from their own treasury.
Therefore, the person will pay $1302 towards social security.
