Answer:
a) 
b) 
c) 
Step-by-step explanation:
a) Geometric sequence with first term 5 and common ratio 2, where the nth term can be calculated via:
The first five terms are: 
b) Geometric sequence with first term 100 and common ratio 1/2, where the nth term can be calculated via:
The first five terms are: 
c) Geometric sequence with first term 160 and common ratio -1/2, where the nth term can be calculated via:
The first five terms are: 
You need to find the amount subject to withholding, subtracting from the weekly salary the amount for one withholding allowance for weekly salaries, which is 77.90$:
830 - 77.90 = 752.1 $.
Then, look in the Fed Tax tables (
http://www.opers.ok.gov/Websites/opers/images/pdfs/2016-Fed-Tax-Tables.pdf ) for a married person with a weekly payroll.
You previously found an amount of 752.1 which is greater than 521 but less than 1613$: therefore the income tax to withhold is 35.70$ + 15% of excess over $521.
Therefore, calculate the income tax due: 35.70 + (752.1 - 521) × 15 ÷ 100 = 70.37$
The total amount of income tax that will be withheld is 70.37$
Equation is 4b + 5m = €10.90, and values of b and m are €1.35 and €1.1 respectively.
Step-by-step explanation:
- Step 1: Find equation for Thursday's sales.
Given b = price of a loaf of bread and m = price of one liter of milk
Total sales = €10.90
Equation ⇒ 4b + 5m = €10.90
- Step 2: Find the values of b and m.
3b + 2m = 6.25 ----- (1)
4b + 5m = 10.90 ---- (2)
Multiply eq(1) by 5 and eq(2) by 2 to make coefficients of m equal.
15b + 10m = 31.25
8b + 10m = 21.8
Subtract eq(2) from eq(1)
⇒ 7b = 9.45
⇒ b = 9.45/7 = €1.35
Substitute for b and find m using eq(1).
⇒ 3 × 1.35 + 2m = 6.25
⇒ 4.05 + 2m = 6.25
⇒ 2m = 2.2
∴∴ m = 2.2/2 = €1.1
Hi friend!
I presume you mean "What is the absolute value of -44!
Well an absolute value is always positive. So the absolute value of -44 is 44!
Hope I helped!
If not, tell me more clearly what you need!
