Martha earned a gross pay of $1,215.60 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the amount of Social security tax deducted from Martha’s gross pay.
a.
$7.54
b.
$65.37
c.
$75.37
d.
$75.40


Please select the best answer from the choices provided

A
B
C
D

This value is approximate.

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Explanation:

Let's focus on the 48 degree angle. This angle combines with angle ABC to form a 90 degree angle. This means angle ABC is 90-48 = 42 degrees. Or in short we can say angle B = 42 when focusing on triangle ABC.

Now let's move to the 17 degree angle. Add on the 90 degree angle and we can see that angle CAB, aka angle A, is 17+90 = 107 degrees.

Based on those two interior angles, angle C must be...

A+B+C = 180

107+42+C = 180

149+C = 180

C = 180-149

C = 31

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To sum things up so far, we have these known properties of triangle ABC

Let's use the law of sines to find side b, which is opposite angle B. This will find the length of side AC (which is the distance from the storm to station A).

b/sin(B) = c/sin(C)

b/sin(42) = 24/sin(31)

b = sin(42)*24/sin(31)

b = 31.1804803080182 which is approximate

b = 31.2 miles is the distance from the storm to station A

Make sure your calculator is in degree mode.

The weather station A is 31.2 miles from the storm

From the triangle shown:

m<B = 90° - 48°

m<B = 42°

m<A = 17° + 90°

m<A = 107°

m<A + m<B + m<C = 180° (Sum of angles in a triangle)

107° + 42° + m<C = 180°

m<C = 180° - 149°

m<C = 31°

The distance between the weather stations A and B = 24 miles

That is, AB = 24 miles

The storm is at point C

The length AC is found by using the rule of sines:

[tex]\frac{sinC}{AB}=\frac{sinB}{AC} \\\\\frac{sin31}{24}=\frac{sin42}{AC} \\\\\frac{0.515}{24} = \frac{0.669}{AC} \\\\0.02146=\frac{0.669}{AC}\\\\AC=\frac{0.669}{0.02146} \\\\AC=31.2 miles[/tex]

The weather station A is 31.2 miles from the storm

Learn more on sine rule here: https://brainly.com/question/4372174

Answer:

[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]

Step-by-step explanation:

[tex]f(x) = 2 {x}^{2} + 5x - 2[/tex]

[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x) - 2[/tex]

[tex]f(x) = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]

[tex]f(x) + 2 \times \frac{25}{16} = 2( {x}^{2} + \frac{5}{2} x + \frac{25}{16} ) - 2[/tex]

[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - 2 - \frac{25}{8} [/tex]

[tex]f(x) = 2(x + \frac{5}{4} {)}^{2} - \frac{41}{5} [/tex]

Answer:

slope is also same as gradient

if 3x+y=7

make y the subject of formula

y=7-3x

so from,y = mx +c

compare the equations

if -3x=mx

divide both sides by x

I.e m=-3

Answer:

5!

Step-by-step explanation:

2x+260=mB50

= 2(5)+260

=310

sq=5

Answer:

school:

cleaned class rooms and background

cooking equipment are laboratory tested of being germs free and also bacteria free

community: clean environment

Step-by-step explanation:

Answer:

[tex]\frac{x-10}{4}[/tex]

Step-by-step explanation:

When it says less then that means 10 is less than x. You can write divided by 4 either by putting it as a fraction or by using the division sign as "x-10 / 4."

The quantity 10 less than x, divided by 4 is mathematically given as (10 - x) / 4.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

If the quantity 10 is less than x, then the expression will be

⇒ 10 - x

Then the quantity 10 less than x and divided by 4, then the expression will be

⇒ (10 - x) / 4

The quantity 10 less than x, divided by 4 is mathematically given as (10 - x) / 4.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

Yes, because if the multiplication identity is 1, the division identity may be -1 because it is the opposite.

Step-by-step explanation:

Answer:

Cheetah

Step-by-step explanation:

American Antelope's speed = 94980 meters per hour

                                            = 59 miles per hour

The Cheetah is faster than the American Antelope

Answer:

102 times

Step-by-step explanation:

4,896 divided by 48 =102

so 48 goes 102 times into 4,896

hope this helps:)

Answer:

Step-by-step explanation:

Answer:

C. Y=2x

Step-by-step explanation:

I hope this help you

Answer:

my answer is Rs 57

remember it says remaining copies so u much find the 5% from the price of 900 copies

Answer:

160 cm²

Step-by-step explanation:

If the two rectangles are similar, that means they have equal scale factors.  The smaller rectangle has length of 8 cm and area of 40 cm, which means the width is 5 cm.  

The width of the larger rectangle is 10 cm, which is double the width of the smaller, similar rectangle.  So, to find the length of the larger rectangle, multiply 8 x 2, which gives you 16 cm for the length, since the scale factor is 2.

Now, just find the area of the larger rectangle by doing length x width.  16cm x 10 cm = 160 cm²

Answer:

160 cm^2

Step-by-step explanation:

Our strategy is to find the length of the larger rectangle so we can find the area. To find the length, we will rely on the fact the two rectangles are "similar": their sides are in equal proportions, or have the same "ratio."

We know that the smaller rectangle has a width of 5 cm because, when we substitute area and length into

A = lw

we get

40 = 8w

w = 5

when we divide both sides by 8.

Because of equal proportions:

Width : length of the smaller rectangle = Width : length of the larger rectangle

We can write an equation

5 / 8 = 10 / x

Cross multiply

5x = 80

x = 16

So the larger rectangle has a length of 16 cm and a width of 10 cm (given)

meaning the area is

16 * 10 = 160 cm^2

The solution for s in the given equation is [tex]s = C-nD[/tex]

The question seems to be incomplete

Here is the complete question:

Solve for s in this equation [tex]D= \frac{C-s}{n}[/tex]   Depreciation.

To solve for s, that means we should make s the subject of the equation

From the given equation,

[tex]D= \frac{C-s}{n}[/tex]

To solve for s, first multiply both sides by n to clear the fraction

We get

[tex]n\times D= n \times \frac{C-s}{n}[/tex]

Then,

[tex]nD = C - s[/tex]

Now, add s to both sides

[tex]nD + s= C - s+s[/tex]

[tex]nD+s = C[/tex]

Then, subtract nD from both sides

[tex]nD-nD+s = C-nD[/tex]

∴ [tex]s = C-nD[/tex]

Hence, the solution for s in the given equation is [tex]s = C-nD[/tex]

Learn more here: https://brainly.com/question/21406377

Answer:

SEE IMAGE FOR SOLUTION

HOPE IT HELPS

Step-by-step explanation:

900 litres

Answer:

-7.11111111111

Step-by-step explanation:

Answer:

Fred has = 9 $

Alicia has = 9 + 8 =17 $

Step-by-step explanation:

Let, Fred has = f $

Then, Alicia has = f + 8 $ ;[as Alicia has 8 more dollars than fred]

Now, the required expression is

∴[tex]f+(f+8)=26\\=>2f+8=26\\=>2f=18\\f=9[/tex]

So, Fred has = 9 $

Alicia has = 9 + 8 =17 $

Hope you have understood this.....    

ask me if you have any confusion.....    

if you liked it pls mark it as the brainliest

Answer:

y = 1/2 x - 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

You would add 5 + 4.2 + 5 - 2.2 - 1 in a calculator and it would come out to be 11.

Step-by-step explanation:

maybe I am wrong sorry for that but try to understand it

have a great day

Answer:

Irrational

Step-by-step explanation:

Its irrational as it has no pattern of numbers after decimal point and the number are infinite

Answer:

irrational because it has a coma after one number

Answer:

8 m/s²

Step-by-step explanation:

[tex]F=m*a\\\\70=m*7 \longrightarrow\ m=10 (kg)\\\\80=10*a\longrightarrow\ a=\frac{80}{10}=8(m/s^2)\\[/tex]

Answer:

Acceleration is 8 m/s²

Step-by-step explanation:

Force = mass × acceleration

[tex]{ \sf{F = m \times a}} \\ { \sf{70 = m \times 7}} \\ { \sf{m = 10 \: kg}}[/tex]

» mass is 10 kg

when force is 80N:

[tex]{ \sf{F = m \times a}} \\ { \sf{80 = 10 \times a}} \\ { \sf{a = \frac{80}{10} }} \\ \\ { \sf{a = 8 \: {ms}^{ - 2} }}[/tex]

Answer:

C. 76

Step-by-step explanation:

Since the numbers add up by 5, you can use this equation. 5x-4.  Plug in 16 for x to get the answer which is 76.

Answer:

She fell asleep for 6% of the trip.

Step-by-step explanation:

You take 48 and divide it by 800. That gives you 0.06.

0.06 equals 6%.

Answer:

6%

Step-by-step explanation:

Divide 48 and 800 together.

48/800 = 0.06

48 is the miles she's sleeping and 800 is the total miles.

So, she was asleep only 6% of the trip.

Hope this helped.

Answer:

days(d) = 50 ÷ 5

Explanation:

50 ÷ 5 =  number of days

Answer:

Step-by-step explanation:

Answer:

Let M is the midpoint of DE.

Since D is at 8 and DE = 5.

DM = ME = 5/2 = 2.5

Point M is at:

Given

Since XZ = XY + YZ, set up an equation and solve for x:

The distance from your house to friend's is LN.

We have:

Set up an equation, solve for x:

Find the distance LM:

Find the distance LN:

Step-by-step explanation:

5y-6py

y(5-6p)

Answer

hope it helps

Answer:

5y - 6py

y(5-6p)

is the answer