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maxonik [38]
4 years ago
13

Caleb was recently hired for a job with an annual income of $35,000. Using the federal income rate of 15 %, what amount should C

aleb expect to
pay in federal income tax?
Mathematics
1 answer:
Ipatiy [6.2K]4 years ago
7 0

Answer:

<h2 /><h2><em><u>an</u></em><em><u>swer</u></em><em><u> will</u></em><em><u> be</u></em><em> </em><em>5</em><em>2</em><em>5</em><em>0</em></h2>

<em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em><em>-</em>

<em>35000 \times  \frac{15}{100}  = 350 \times 15 = 5250</em>

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Find the measure of angle A
Gre4nikov [31]

Answer:

21 degrees

Step-by-step explanation:

Triangles have a total angle of 180 degrees.

This makes our equation:

3x+3+4x+135=180

Subtract 135 from both sides and combine like terms

7x + 3 = 45

Subtract 3 from both sides

7x = 42

Divide both sides by 7

x = 6

Plugging the number in:

3x + 3 =

3(6) + 3 =

21

7 0
3 years ago
A ribbon is 30cm long and it is cut into three pieces such that each piece is 2cm longer than the next. Represent this as an equ
Alisiya [41]

Answer:

Step-by-step explanation:

3 pieces such that each piece is 2 cm longer then the next...

x , x + 2, x + 4

x + x + 2 + x + 4 = 30

3x + 6 = 30

3x = 30 - 6

3x = 24

x = 24/3

x = 8

x + 2 = 8 + 2 = 10

x + 4 = 8 + 4 = 12

check...

8 + 10 + 12 = 30

18 + 12 = 30

30 = 30 (correct)...it checks out

the ribbon lengths are : 8 cm, 10 cm, and 12 cm

3 0
4 years ago
Read 2 more answers
Determine whether the cost for ordering multiple items that will be delivered is sometimes, always or never proportional. Explai
Tanzania [10]
It could sometimes be proportional. The reasoning here is that if all the items have different prices it won't be, however if the items you are ordering all have the same price they will be!
5 0
4 years ago
How is the series 9 + 13+ 17+ ... + 149 represented in summation notation?
VLD [36.1K]

Notice that

13 - 9 = 4

17 - 13 = 4

so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :

149 = 9 + 4k

140 = 4k

k = 140/4

k = 35

This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.

Put another way, we have

\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=0}^{35} (9 + 4k)

but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.

\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k-1=0}^{35+1} (9 + 4(k-1))

\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=1}^{36} (5 + 4k)

7 0
3 years ago
What is another way to write the expression t. (14--5) ?
melomori [17]

Answer: Second option.

Step-by-step explanation:

It is important to remember the Distributive Property in order to solve this exercise.

The Distributive property states that:

a(b+c)=ab+ac\\\\\\a(b-c)=ab-ac

In this case you have the following expression provided in the exercise:

t(14-5)

Then, in order to write this expression in another way, you can apply the Distributive property. Multiply each number inside the parentheses by "t".

Applying this procedure, you get:

t(14-5)=(t14)-(t5)

Notice that this expression matches with the one shown in the the second option.

8 0
3 years ago
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