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oksian1 [2.3K]
3 years ago
8

Sarah takes a full-time position that pays $32,500 per year. The government takes out 3% for Social Security, 1.2 % for Medicare

, and 14% for federal income tax. She does not live in state with state income tax.
MAMDM .A.3.a: What is her gross annual income?
Mathematics
1 answer:
stellarik [79]3 years ago
4 0

Answer:

  $32,500

Step-by-step explanation:

Sarah's gross income is the income amount before taxes and other deductions. It is $32,500.

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Which property would allow you to use mental computation to simplify the problem 27 + 15 + 3 + 5?
bearhunter [10]

Answer:

commutative property of addition

Step-by-step explanation:

6 0
3 years ago
Arrange the following values from least to greatest.
Alla [95]
-4, 0, 2, 4.1(sorry I can’t find the sign), 3
.4, .2, .3, .1, .5
8 0
3 years ago
The sum of two consecutive integers is 123 what’s is the smallest of the two integers
RideAnS [48]

The smallest of two integers is 61

Step-by-step explanation:

Let x be the smaller integer

Then the next integer will be:

x+1

According to given statement that the sum of both is 123

x+ (x+1) = 123\\x+x+1=123\\2x+1=123

Subtracting 1 from both sides

2x+1-1=123-1\\2x=122

Dividing both sides by 2

\frac{2x}{2}=\frac{122}{2}\\x=61

The smallest of two integers is 61

Keywords: Linear equations, Variables

Learn more about linear equations at:

  • brainly.com/question/2670657
  • brainly.com/question/2821386

#LearnwithBrainly

6 0
3 years ago
You must design a closed rectangular box of width w, length l and height h, whose volume is 504 cm3. The sides of the box cost 3
Charra [1.4K]

Answer:

Dimensions will be

Length = 7.23 cm

Width = 7.23 cm

Height = 9.64 cm

Step-by-step explanation:

A closed box has length = l cm

width of the box = w cm

height of the box = h cm

Volume of the rectangular box = lwh

504 = lwh

h=\frac{504}{lw}

Sides which involve length and width and height, cost = 3 cents per cm²

Top and bottom of the box costs = 4 cents per cm²

Cost of the sides C_{s}= 3[2(l + w)h] = 6(l + w)h

C_{s}= 3[2(l + w)h]

C_{s}=6(l+w)(\frac{504}{lw} )

Cost of the top and the bottom C_{(t,p)}= 4(2lw) = 8lw

Total cost of the box C = 3024\frac{(l+w)}{lw} + 8lw

                                      = 3024[\frac{1}{l}+\frac{1}{w}] + 8lw

To minimize the cost of the sides

\frac{dC}{dl}=3024(-l^{-2}+0)+8w=0

\frac{3024}{l^{2}}=8w

\frac{378}{l^{2}}=w ---------(1)

\frac{dC}{dw}=3024(-w^{-2})+8l=0

\frac{3024}{w^{2}}=8l

\frac{378}{w^{2}}=l

w^{2}=\frac{378}{l}-------(2)

Now place the value of w from equation (1) to equation (2)

(\frac{378}{l^{2}})^{2}=\frac{378}{l}

\frac{(378)^{2} }{l^{4}}=\frac{378}{l}

l³ = 378

l = ∛378 = 7.23 cm

From equation (2)

w^{2}=\frac{378}{7.23}

w^{2}=52.28

w = 7.23 cm

As lwh = 504 cm³

(7.23)²h = 504

h=\frac{504}{(7.23)^{2}}

h = 9.64 cm                        

6 0
4 years ago
If there's a sale and the original price is 140 and it's one fifth off how much is the sale?
Alex777 [14]
$112
1-1/5=4/5
4/5 x 140 =112
hope this helps :)
6 0
3 years ago
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