Answer:
Let us assume that the pay rate per hour = x
no. of hours worked = n
Gross earnings = x*n
Federal taxes = 18% of gross earnings
= 0.18(x*n)
State taxes = 4% of gross earnings
= 0.04(x*n)
Social security deduction = 7.05% of gross earnings
= 0.0705(x*n)
Total deductions = Federal taxes + State taxes +SSD
= 0.18(x*n) + 0.04(x*n) + 0.0705(x*n)
= 0.2905(x*n)
Net pay = Gross earnings - Total Deduction
Net pay = x*n - 0.2905(x*n)
Net pay = 0.7095(x*n)
Answer:
-4, -3, -2, -1, 0
Step-by-step explanation:
Using the equation y = x -2, substitute the values for x into the equation and solve for y.
y = -2 -2
y = -4
y = -1 - 2
y= -3
y = 0 - 2
y = -2
y = 1 - 2
y = -1
y = 2 - 2
y = 0
You will have the coordinates when you plug the numbers into the table. (-2, -4), (-1, -3), (0, -2), (1, -1), (2, 0). Plot the points and connect with a line.
A right triangle's longest side is the hypotenuse
let x=longest, y=middle, and z=shortest
x=y+2
y=2z-1
therefore x=(2z-1)+2=2z+1
find z
z^2+y^2=x^2 by Pythagorean theorem
plug in x and y in terms of z
z^2+(2z-1)^2=(2z+1)^2
z^2+4z^2-4z+1=4z^2+4z+1
subtract the right-hand side's value from the left-hand side's
z^2-8z=0
z(z-8)=0
z=0, 8
z cannot be zero as the sides must have some value to it.
Therefore the shortest side is equal to 8
Answer:
I should use at least 304 students
Step-by-step explanation:
Margin error (E) = t × sd/√n
E = 40
sd = 300
confidence level (C) = 98% = 0.98
significance level = 1 - C = 1 - 0.98 = 0.02 = 2%
t-value corresponding to 2% significance level and infinity degree of freedom is 2.326
n = (t×sd/E)^2 = (2.326×300/40)^2 = 17.445^2 = 304 (to the nearest integer)
Answer:
12.5%
Step-by-step explanation:
hope this helps and its right
