This is a problem on a venn diagram in which the problem determines the number of subscribers that are mutually heeding for channel A and channel B. The equation to be followed is
U = U' + A + B + AandB
Substituting,
8500 = 5140 + 2450+1980- AandB
AandB = 1070 subscribers
Answer:
- short-term: $90,000
- long-term: $70,000
Step-by-step explanation:
Let x represent the amount borrowed on the short term. Then 160000-x is the amount of the long-term note. The total interest is ...
0.11x +0.08(160000-x) = 15500
0.03x + 12800 = 15500 . . . . simplify
0.03x = 2700 . . . . . . . . . subtract 12800
x = 2700/.03 = 90,000 . . . . short-term note
160,000 -90,000 = 70,000 . . . . long-term note
The short-term note was for $90,000; the long-term note was for $70,000.
93/5 turned into a decimal is 18.6
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)
