Let x = state b , then x + 2 = state a
now: x + (x +2) = 9090 or 2x + 2 = 9090 Solving this equation:
2x + 2 = 9090 subtract 2 from both sides
2x = 9088 divide both sides by 2
x = 4544
that means x + 2 = 4546
so state a = 4546 and state b = 4544
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:
They are both parallel lines
Step-by-step explanation:
they both have the slope of -5/4
<span>8(-y+5)+6(2y-7)
= -8y + 40 + 12y - 42 ....expand by using distributive property
= 4y - 2 ...............combine like terms
hope it helps</span>
Vertex at the origin and opening down → y=ax^2
Width: w=16
x=w/2→x=16/2→x=8
x=8, y=-16→y=ax^2→-16=a(8)^2→-16=a(64)→-16/64=a(64)/64→-1/4=a→a=-1/4
y=ax^2→y=-(1/4)x^2
7 m from the edge of the tunnel → x=w/2-7=8 m-7 m→x=1 m
x=1→y=-(1/4)x^2=-(1/4)(1)^2=-(1/4)(1)→y=-1/4
Vertical clearance: 16-1/4=16-0.25→Vertical clearance=15.75 m
Please, see the attached file.
Answer: Third option 15.75 m