SOLUTION: The basic hourly rate for a weekly paid worker is $8 and any hours above 40 are paid at $12. tax is paid at a rate of 25% on any earnings above $80 a week. assuming hours worked pe

Question 987324: The basic hourly rate for a weekly paid worker is $8 and any hours above 40 are paid at $12. tax is paid at a rate of 25% on any earnings above $80 a week. assuming hours worked per week(H) exceed 40,write an expression for net weekly wage in terms of H and then simplify it.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
H=hours worked, H > 40
.
Gross=$8(40)+$12(H-40)
Taxable portion (Subtract untaxed first $80): $8(40)+$12(H-40)-$80
Deduct tax (25% tax means you get 75%):0.75($8(40)+$12(H-40)-$80)
Add Back untaxed $80 to get net:
Net=0.75($8(40)+$12(H-40)-$80)+$80
.
Simplify:
Net=0.75($320+$12H-$480-$80)+$80
Net=0.75($12H-$240)+$80
Net=$9H-$180+$80
Net=$9H-$100
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