Tim's gross pay is $1568. The amount of Social security deducted is 6.2% of gross pay.

How much of his gross pay will be deducted for the Social Security tax?

A. $972.16
B. $97.22
C. $25.29
D. $6.20

Answer:

The area of the field is 70 square meters

Step-by-step explanation:

Given

See attachment for scale drawing

Required

The actual area

From the scale drawing, we have;

\(Base = 7\)

\(Height = 5\)

So, the area of the scale is:

\(Area = 0.5 * Base * Height\)

\(Area = 0.5 * 7 * 5\)

\(Area = 17.5\) square units

Also from the attached scale,

\(1\ unit = 2m\)

So, we have:

\(Area = 17.5 * (2m)^2\)

\(Area = 17.5 * 4m^2\)

\(Area = 70m^2\)

The area of the field is 70 square meters

Answer:

( 6,10)

Step-by-step explanation:

y>3x y>9

Set them equal to each other

3x >9

Divide by 3

3x/3 >9/3

x > 3

y>9

The only option with x > 3  y>9  is ( 6,10)

Answer:

C

Step-by-step explanation:

Since y > 9 the answer is either C or D

However, since y>3x, the answer must be C

Since 3*6 > 11

Answer:

10%

Step-by-step explanation:

40/4 = 10.

To check:

0.10 x 40 = 4

Answer:

Yes

Step-by-step explanation:

The reason can simply because they are similar shapes (triangle) which reports same sides same angle

Answer:

x = 16

Step-by-step explanation:

Answer:

x=16

Step-by-step explanation:

3/4x +2=5/4x-6

subtract the 3/4x from both sides

2=2/4x-6

add 6 to add sides

8=2/4x

2/4x simplifies to 1/2x

8=1/2x

x=16

Number of rabbits in burrows = 81

Number of rabbits outside = 54

Given,

Ratio of rabbits in burrows to rabbits outside was 3 : 2 .

By dusk, 21 rabbits had left the burrows to go outside, and the ratio of rabbits in burrows to rabbits outside became 4 : 5.

Now,

Forming the equation with the given data,

Let the number of rabbits be 3x and 2x in burrows and outside.

Then,

3x - 21 / 2x + 21 = 4/5

15x - 105 = 8x + 84

7x = 189

x = 27

Hence,

3x = Number of rabbits in burrows = 3 × 27 = 81

2x = Number of rabbits outside = 2 × 27 = 54

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Answer:

1360cm²

Step-by-step explanation:

Since the shape of the cake is in L shape, we can divide the cake in to rectangles..

The amount of space covered by the frosting = The sum of the areas of the sides that we can find in this L shaped cake diagram.

The sides of this cake, are shaped like a rectangle.

Hence, Area of a Rectangle = Length × Width

a) Side 1 = Rectangle on the left

Area of a Rectangle = Length × Breadth

Length = 30cm

Breadth =10cm

Area = 30 × 10 = 300cm²

Since we have another side with this measurement/ dimensions also,

Side 2 = 300cm²

Side 3 = The front face of the cube by the right

Area of a Rectangle = Length × Breadth

Length = 22cm - 10cm = 12cm

Breadth =10cm

Area = 12 × 10 = 120cm²

Likewise, we have the another side with the same dimensions as well

Hence, Side 4 = 120cm²

Side 5

30 × 5 = 150cm²

Side 6

10 × 5 = 50cm²

Side 7

20 × 5 = 100cm²

Side 8

22cm × 5 cm = 110cm²

Side 9

10cm × 5cm = 50cm²

Side 10

12cm × 5cm = 60cm²

The amount of space covered by the frosting = Area of Sides( 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)

= (300 + 300 + 120 + 120 + 150 + 50 + 100 + 110 + 50 + 60) cm²

= 1360cm²

Answer:

1360

Step-by-step explanation:

it is correct on khan academy

Answer:

a) 15

b) 97/2

Step-by-step explanation:

a) f(g(6))

  g(6) = 6

   2(6)+3

    12 + 3

      15

b) gf(x) = 10

    2x+3

    2x+3 = 100

    2x = 97

     x = 97/2

Answer:

14137.16694 \(inches^{3\\\) (\(in^3\))

Step-by-step explanation:

4/3 × π × \(radius^{3}\)

\(4/3\times\pi\times15^{3}\)=14137.16694

Answer:

original weight= 1.25 kg

Step-by-step explanation:

Original weight= 100%

After baking it looses 12% so it becomes 88% (100%- 12%)

so 1.1kg is equivalent to 88%

100% will therefore be 1.25kg

Answer:

The answer is below

Step-by-step explanation:

A grocery store is having a sale this week. If you buy a 5-pound bag of apples for the regular price, you can get another bag for $1.79. If you buy a 5-pound bag of oranges at the regular price, you can get another bag for $2.49. Write an equation to find the discount for each situation.

Regular price for apples is $2.99

Regular price for oranges is $3.99

Solution:

The original price of the apples = $2.99 , price at a discount = $1.79

  Discount for A= original price - price at a discount = $2.99 - $1.79  

Discount for A= $1.20

x = ($1.79 / $2.99) * 100% = 59.9%

Discount in percentage = 100% - 59.9% = 40.1%

The original price of the orange = $3.99 , price at a discount = $2.49

  Discount for R = original price - price at a discount = $3.99 - $2.49  

Discount for R = $1.50

x = ($2.49 / $3.99) * 100% = 62.4%

Discount in percentage = 100% - 62.4% = 37.6%

(3) Add: Under applied overhead 34,000

(4) Adjusted cost of goods sold 364,000

1 and 2 RAW MATERIAL INVENTORY

Beginning balance 75,000

a 225,000 150,000 b, Ending Balance 150,000

WORK IN PROGRESS INVENTORY

Beginning balance 140,000

b 125,000 352,000 g

c 60,000

f 105,000

j Ending Balance 78,000

FINISHED GOODS INVENTORY

Beginning balance -

g 352,000 330,000 h

Ending Balance 22,000

FACTORY OVERHEAD

b 25,000

c 40,000 105,000 f

d 74,000

Ending Balance 34,000

COST OF GOODS SOLD

h 330,000

Ending Balance 330,000

Factory overhead applied on the basis of direct labor cost .

Hence applied overhead = 60,000 x 175% = $105,000Step: 2

3)

Computation of under /(over) applied OH

Actual OH($) Applied OH ($) Under /(over) applied OH ($)

139,000 105,000 34,000

Actual manufacturing overhead:

$

Indirect material 25,000

Indirect Labour 40,000

Other manufacturing overhead 74,000

139,000

4)

Cost of goods sold (Unadjusted) 330,000

Add: Under applied overhead 34,000

Adjusted cost of goods sold 364,000

Actal manufacturing overhead is more than applied overhead,it means factory overhead under applied and it will be added in unadjusted cost of goods sold to ascertain adjused cost of goods sold.

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Answer:

please make it clear what is 1 2. 5 22

Answer:

I think it's 5 down votes

After unit conversion of 24 in./s into ft/min the value will be 120

To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple. Depending on their intended usage, different units can be categorized.

For example, for  length measurement we use units like:- meter, centimeter, inch, miles.

Given that,

A rate = 24 in./s

The value of rate in ft./min. = ?

It is known that,

1 feet = 12 inches

And 1 minute = 60 second

So,

1 inches = 1/12 feet

1 second  = 1/60 minute

⇒ 24 in./s

⇒  24 ((1/12)ft / (1/60)sec)

⇒ 24 × 60/12

⇒ 24 x 5

⇒ 120

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Answer:

9877 rounded to 1sf= 9000

have a nice day <3

9877

9877 rounded to 1sf.

= 10000

( if the previous digit is 5 or more just round up, if not just keep it as it is. )

Total students who graduated this year from this university is 3000.

This is a normal distribution problem with

Mean , μ = $20,000

Standard deviation, σ = $8,000

If 189 of the recent graduates have salaries of at least $32240.

Then, We first find the percentage of LU graduates with salaries more than $32240.

Required probability = P(x ≥ 32240)

We first normalize or standardize $32,240, then as we know,

z = (x - μ)/σ

= (32240 - 20000)/8000 = 1.53

The required probability:

P(x ≥ 32240) = P(z ≥ 1.53)

We'll use data from the normal probability table for these probabilities

P(x ≥ 32240) = P(z ≥ 1.53) = 1 - P(z < 1.53)

= 1 - 0.93699

= 0.06301

= 6.301%

So, 6.301% of the graduates this year = 189

Total Number of graduates this year = (189/0.06301) = 2999.5 = 3000 graduates this year.

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Answer:

1/24

Step-by-step explanation:

Pls mark me the brainiest thx.

Hope this helps!

Answer:

2

Step-by-step explanation:

So the common ratio is simply what a number can be multiplyied by. To find this, all we have to do is see how many times one number goes into the one after it.

So lets take the 20(2nd number), lets divide it by 10(1st number). What do we get when we divide the numbers? We get 2. since 10 goes into 20, 2 times.

Lets see if the common ratio 2 checks out for the other numbers. What is 80(4th number) divided by 40(3rd number)? Well again, thats 2. Since 40 goes into 80, 2 times.

So, we can conclude that the answer is 2.

Answer:

I think the common ratio is 20

Step-by-step explanation:

Each number is 20 times the previous number, so the Common Ratio would have to be 10

Answer:

x= 1, y=3

Step-by-step explanation:

x + (2x+1)= 4

3x+1=4

3x=4-1

x=1

Take x as 1

1 + y =4

y=4-1

y=3

The conclusion that can be drawn using the simulation results depends on comparing the actual proportion to the distribution of proportions obtained from the simulation and assessing the statistical significance of the survey result.

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To solve this problem, we can use a ratio proportion.
Let's assume that the store currently has x part-time workers and y full-time workers.
According to the problem, the ratio of part-time workers to full-time workers is 1:4. Therefore, we can write:
x/y = 1/4
Next, the problem states that if 5 part-time workers were hired, then the ratio would be 3:5. This means that the new ratio of part-time workers to full-time workers would be:
(x+5)/y = 3/5
Now we have two equations with two variables:
x/y = 1/4
(x+5)/y = 3/5
We can solve for x and y by cross-multiplying:
5x = y
15x + 75 = 12y
Substituting 5x for y in the second equation:
15x + 75 = 12(5x)
15x + 75 = 60x
60x - 15x = 75
45x = 75
x = 75/45 = 5/3
Since we can't have a fraction of a worker, we can round up to the nearest whole number.
Therefore, the store has 2 part-time workers and 10 full-time workers.
In summary, using the given ratios and information, we were able to solve for the number of part-time and full-time workers in the store.

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Answer:

V = π(8^2)(31) = 6,232.9 m^3

1) A heart is equal to 5 units, a star to 13 units and a square to 20 units.

2) A star is equal to 66 units, a circle to 30 units and a triangle to 14 units.

Herein we find two case of systems of elements which have to be solved on the fact that each element represents a quantity. Now we proceed to represent each system:

Case 1

x - Heart

y - Star

z - Square

The algebraic representation of the system is shown below:

18 - x = y                      (1)

2 · x = 10                     (2)

z - y - 2 = x                  (3)

By (2):

x = 5

By (1):

y = 18 - 5

y = 13

By (3):

z = x + y + 2

z = 5 + 13 + 2

z = 20

Case 2

x - Triangle

y - Star

z - Circle

The algebraic representation of the system is shown below:

2 · x = 28                   (1)

80 - x = y                   (2)

y + x - z = 50             (3)

By (1):

x = 14

By (2):

y = 80 - 14

y = 66

By (3):

z = y + x - 50

z = 66 + 14 - 50

z = 30

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well, the tax is cleary just 20.95 - 20 = 0.95, so 95 cents, now, if we take 20(origin amount) to be the 100%, what is 0.95 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 20 & 100\\ 0.95& x \end{array} \implies \cfrac{20}{0.95}~~=~~\cfrac{100}{x} \\\\\\ 20x=95\implies x=\cfrac{95}{20}\implies x=4.75\)

Answer:

First option, relation 1 and relation 4

Step-by-step explanation:

Because they both cross one of the two axes once, which from what I remember, makes it a function.

Hope this makes sense, and please correct me if I'm wrong :)

Answer:

(x - 6)(x + 2)

Step-by-step explanation:

assuming you require the trinomial to be factorised.

x² - 4x - 12

consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (- 4)

the factors are - 6 and + 2 , since

- 6 × 2 = - 12 and - 6 + 2 = - 4 , then

x² - 4x - 12 = (x - 6)(x + 2)