The arrangement of the numbers in descending order (largest to smallest) are as follows;
- a). 5.5, 4, 29/33, -3/4, -2.365
- b). 10, 5.855, 5/8, 1/2 -2π, -8
<h3>What is the arrangement of the numbers in descending order in each case?</h3>
It follows from convention that the positive numbers are larger than negative numbers and hence, should appear before negative numbers when the arrangement is in descending order.
Consequently, the numbers can be evaluated and arranged as in the answer above with positive numbers increasing rightwards and negative numbers decreasing leftward of 0 on the number line.
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Answer:
$110
Step-by-step explanation:
Let a, b, and c represent the earnings of Alan, Bob, and Charles. The problem statement tells us ...
a + b + c = 480 . . . . . . the combined total of their earnings
-a + b = 40 . . . . . . . . . . Bob earned 40 more than Alan
2a - c = 0 . . . . . . . . . . . Charles earned twice as much as Alan
Adding the first and third equations, we get ...
(a + b + c) + (2a - c) = (480) + (0)
3a + b = 480
Subtracting the second equation gives ...
(3a +b) - (-a +b) = (480) -(40)
4a = 440 . . . . . . . . simplify
a = 110 . . . . . . . . . . divide by the coefficient of a
Alan earned $110.
_____
<em>Check</em>
Bob earned $40 more, so $150. Charles earned twice as much, so $220.
The total is then $110 +150 +220 = $480 . . . . as required
Answer:
42°, 101°
Step-by-step explanation:
These answers come from the angle subtraction postulate.
Answer:
The income that she will have left over after paying his
federal income tax = $63,775.
Step-by-step explanation:
- The amount of taxable income = $79,950
- So, the taxable income will be in the range from $33,950 to $82,250.
- It means, there will be $4675 fixed tax and additional 25% tax on the amount over $33,950.
As
The amount over $33,950 = $79,950 - $33,950 = $46,000
So
The additional tax = 46000 × 0.25 = $11,500 ∵25% = 0.25
So, the total federal income tax will be: $11500 + $4675 = $16,175
Therefore, the income that she will have left over after paying his federal income tax = $79,950 - $16,175 = $63,775.
Keywords: income, income tax
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