Dawn is verifying the accuracy of her paycheck. She earns $12 an hour and works 40 hours each week. Herr biweekly deductions are Social Security 6.2%. Medicare 1.45%, federal withoutholding tax $73.25, state withholding tax $22.50, and health insurance $37.47. What is her net pay if she is paid biweekly?

Answer:

It took Latisha 2 hours and 18 minutes to finish hiking the trail.

Step-by-step explanation:

Speed = Distance traveled / Time taken

Given:

Distance traveled = 9.66 miles

Speed = 4.2 miles/hour

Time taken = Distance traveled/Speed

                   = 9.66/4.2 =2.3 hours = 2 hours 18 minutes.

∴ It took Latisha 2 hours and 18 minutes to finish hiking the trail.

Answer:

BE : EC = 1 : 3

Step-by-step explanation:

Consider triangles AKD and EKB. In these triangles

Then ΔAKD is similar to ΔEKB by AAA theorem.

Similar triangles have proportional corresponding sides:

[tex]\dfrac{AD}{EB}=\dfrac{AK}{EK}=\dfrac{DK}{KB}.[/tex]

Since [tex]\dfrac{DK}{KB}=\dfrac{4}{1},[/tex] then [tex]AD=4BE.[/tex]

Opposite sides in parallelogram have the same lengths, then [tex]BC=AD.[/tex]

Now

[tex]BC=BE+EC,\\ \\BC=\dfrac{1}{4}BC+EC,\\ \\EC=BC-\dfrac{1}{4}BC=\dfrac{3}{4}BC.[/tex]

Find the ratio

[tex]\dfrac{BE}{EC}=\dfrac{\frac{1}{4}BC}{\frac{3}{4}BC}=\dfrac{1}{3}.[/tex]

The ratio of BE:EC is 1:2.

We have Parallelogram ABCD

Point K on diagonal BD such that BK:DK = 1:4

The extension of AK meets BC at point E

Since BK:DK = 1:4,

we know that BK = 1/5 * BD

and DK = 4/5 * BD.

AK extends to meet BC at point E means that AE is parallel to BD and BE is parallel to AK.

pair A,B,C,D,K,E;

A = (0,0);

B = (5,0);

C = (5,5);

D = (0,5);

K = (3.5,0);

E = (3.5,2.5);

Since AE is parallel to BD and BD is a diagonal of parallelogram ABCD, we know that AE bisects BD. This means that AE = BD/2 = 3/5 * BD.

Since BE is parallel to AK and AK is a diagonal of parallelogram ABCD, we know that BE bisects AK. This means that BE = AK/2 = 1/5 * BD.

Therefore, the ratio of BE:EC = 1/5 * BD

: 2/5 * BD

= 1:2.

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Answer: $12.15

Step-by-step explanation:

5.70 + 2.15 = $7.85

$20 - 7.85 = $12.15

Answer:

The length of side BC is 18 units

Step-by-step explanation:

Perimeter of the rectangle: P=76 units

AB=4z

BC=3z+3=?

We need to determine z

The formula to calculate the perimeter of a rectangle is:

P=2(w+l)

Width: w=AB=4z

Length: l=BC=3z+3

Replacing in the formula:

76 = 2 [4z+(3z+3)]

Eliminating the parentheses:

76 = 2 [4z+3z+3]

Adding like terms:

76 = 2 (7z+3)

Solving for z: Dividing both sides of the equation by 2:

76 / 2 = 2 (7z+3) / 2

38 = 7z+3

Subtracting 3 both sides of the equation:

38-3 = 7z+3-3

Subtracting:

35 = 7z

Dividing both sides of the equation by 7:

35 / 7 = 7z / 7

Dividing:

5 = z

z = 5

Then:

BC=3z+3

Replacing z by 5 in the formula above:

BC = 3(5)+3

Multiplying:

BC = 15 + 3

Adding:

BC = 18 units

Answer:

$15.61

Step-by-step explanation:

483.62 - 218.25 = 265.37

265.37/17 = $15.61

If each student raises the same amount, how much more money must each student raise is: $15.61.

Using this formula

Amount raised=Current amount to raised-Old Amount raised /Number of students

Where:

Current amount to raised=$483.62

Old Amount raised =$218.25

Number of students=17

Let plug in the formula

Amount raised=483.62 - 218.25/17

Amount raised= 265.37/17

Amount raised= $15.61

Thus, if each student raises the same amount, how much more money must each student raise is: $15.61.

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The probability that the first 2 ribbons removed from the bag are yellow is [tex]\(\frac{1}{51}\)[/tex].

First, let's calculate the probability of drawing the first yellow ribbon. There are 3 yellow ribbons and a total of 8 red, 7 green, and 3 yellow ribbons, which sums up to 18 ribbons in total. So, the probability of drawing the first yellow ribbon is:

[tex]\[ P(\text{first yellow}) = \frac{\text{Number of yellow ribbons}}{\text{Total number of ribbons}} = \frac{3}{18} = \frac{1}{6} \][/tex]

After drawing the first yellow ribbon, there are now 17 ribbons left in the bag, with 2 yellow ribbons remaining. The probability of drawing the second yellow ribbon is:

[tex]\[ P(\text{second yellow | first yellow}) = \frac{\text{Number of remaining yellow ribbons}}{\text{Total number of remaining ribbons}} = \frac{2}{17} \][/tex]

Now, we multiply the two probabilities to find the probability that the first two ribbons drawn are yellow:

[tex]\[ P(\text{first two yellow}) = P(\text{first yellow}) \times P(\text{second yellow | first yellow}) = \frac{1}{6} \times \frac{2}{17} \]\[ P(\text{first two yellow}) = \frac{1 \times 2}{6 \times 17} = \frac{2}{102} = \frac{1}{51} \][/tex]

Answer:

-15

63 but in simplified form, it's like this: -5

                                                              21

Step-by-step explanation: For multiplication and division, you don't need a common denominator, but for addition and subtraction you have to find the common denominator...

For this problem, since your multiplying, you just multiply straight accross, and if it needs to be simplified, then simplify:

5/9 x -3/7

-15

63

SIMPLIFIED because both -15 & 63 can be divided by 3 and end up like this:

-5

21

Answer:

Y=2x-3

Step-by-step explanation:

Hi there! :)

Answer:

y = 2x - 3

Step-by-step explanation:

The slope intercept equation looks like this : y = mx + b

Where "m" is the slope and "b" is the y-intercept.

Your y-intercept = -3 → SO, b = -3

Your slope = 2 → SO, m = 2

Replace the values of "b" and "m" in the equation, and you're done:

y = mx + b

y = 2x - 3

There you go! I really hope this helped, if there's anything just let me know! :)

Answer: 1=x

Step-by-step explanation:

                                6x+9=3x+6                                                                                                      -6         -6        

                                    6x+3=3x                                                                                               -6x   -6x      3=-3x                                                                                  3 divided by 3 is one    1=x                         I hope this helps sorry if its incorrect i havent done this in a while

Answer:

x = -1

Step-by-step explanation:

Subtract 3x from both sides

6x + 9 - 3x = 3x + 6 - 3x

3x + 9 = 6

Subtract 9 from both sides

3x + 9 - 9 = 6 - 9

3x = -3

Divide both sides by 3

3x/3 = -3/3

x = -1

Answer:

6/7

Step-by-step explanation:

Change in y over the change in x.

7 - 1 over 8 - 1 =

6 over 7

6/7

Answer:

The height of the statue is 21.4 feet

Step-by-step explanation:

We are given

A person is standing 50 ft from a statue

The person looks up at an angle of elevation of 16 degree when staring at the top of the statue

hen the person looks down at an angle of depression of 8 degree when staring at the base of the statue

Firstly, we will draw diagram

In triangle ABF:

FC=50

we can use trig formula

[tex]tan(16)=\frac{y}{50}[/tex]

[tex]y=50tan(16)[/tex]

[tex]y=14.33727ft[/tex]

now, we can find x

In triangle DEF:

we can use trig formula

[tex]tan(8)=\frac{x}{50}[/tex]

[tex]x=50tan(8)[/tex]

[tex]x=7.0270ft[/tex]

we can see that

height of statue =x+y

so, the height of statue is

[tex]=14.33727+7.0270[/tex]

[tex]=21.4ft[/tex]

The height of the statue to the nearest tenth of a foot is 21.4 ft and this can be determined by using the trigonometric properties

Given :

Refer to the diagram attached below.

From the diagram in triangle ABF:

[tex]\rm tan(16)=\dfrac{a}{50}[/tex]

a = 14.33 ft

From the diagram in triangle DEF:

[tex]\rm tan(8)=\dfrac{b}{50}[/tex]

b = 7.02 ft

Now, the height of the statue is given by:

[tex]\rm Height = a +b[/tex]

Height = 14.33 + 7.02

Height = 21.4 ft

The height of the statue to the nearest tenth of a foot is 21.4 ft.

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Answer:

The answer is 7.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

9.75 divided by 1.3 equals 7.5

I used a calculator... :)

Answer:

it has no solution

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

Life

Answer:

There are 264 pints in 33 gallons.

Step-by-step explanation:

Because there are 8 pints in 1 gallon.

Answer: 264 pints

Step-by-step explanation:

There are 8 pints in a gallon so you multiply that by 33 and you get your answer.

Answer:

see explanation

Step-by-step explanation:

the rate of change is the measure of the slope m of the line

To calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, 27) and (x₂, y₂ ) = (5, - 8)

m = [tex]\frac{-8-27}{5-0}[/tex] = [tex]\frac{-35}{5}[/tex] = - 7 ← rate of change

the initial value is the y-coordinate of the starting point

That is y = 27 ← starting value

The rate of change for the linear function is -7 and the initial value is 27.

Answer:

Never

Step-by-step explanation:

If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

Thats what my teacher tought me

Answer:

12 total

Step-by-step explanation:

green : orange  

4               0          

We add in a ratio of

1                  2

So we need to multiply by 4

green : orange  

4*1            4*2

4                8

We have 4 green  and we need to add 8 orange  to get the right ratio

4 green + 8 orange = 12 total

Answer:

Substitute 7 for a.

Simplify the equation after substituting the value for a.

Verify that a = 7 is correct when the result is a true statement.

Step-by-step explanation:

 –9(a – 5) = –18  

Distribute

-9a +45 = -18

Subtract 45 from each side

-9a +45-45 = -18-45

-9a = -63

Divide each side by -9

-9a/-9 = -63/-9

a = 7

To check the solution put a =7 back into the original equation

 –9(a – 5) = –18  

  -9(7-5) = -18

Simplify

-9(2) = -18

-18 = 18

This is true  so 7 is the solution

Answer:

Substitute 7 for a.

Simplify the equation after substituting the value for a.

Verify that a = 7 is correct when the result is a true statement.

Step-by-step explanation:

Here, the given equation is,,

[tex]-9(a-5)=-18[/tex]

And, after solving it the result is,

a = 7

We can check whether a result is the solution of an equation by substituting the result in the given equation.

If we get a true statement, then the result is the solution of the equation.

Thus, for verifying the solution, steps are as follow,

Step 1 : Substitute 7 ,

-9(7-5) = -18

Step 2 : Simplify the equation after substituting the value of a  

-9(2) = -18    

Step 3 : Verify that a = 7 is correct when the result is a true statement.

-18 = -18      

Answer:

Alright well solve for y by simplifying both sides of the equation, then isolating the variable

Exact form: y = - 65/4

Decimal form: y = - 16.25 Hope this helps Have a nice day :)

Step-by-step explanation:

In one year, $ 9,000 with a profit of 7.75%, is $ 697.5

697.5 × 18 = 12555

After 18 years old, it is $ 15,222

Answer:

The answer is 34494.79

Step-by-step explanation:

Y=ab^x

A= starting value= 9000

r=rate = 7.75% = 0.0775

Exponential growth

Y= 9000(1.0775)^x

Plug in time for x

Y= 9000(1.0775)^18

Y=34494.7918323

ROUND the number and your answer will be Y= 34494.78

Answer:

$852.5

Step-by-step explanation:

$11 * 40 hours = $440 for reg. hours

$16.5 * 9 hours = $148.5 for overtime

$22 * 12 hours = $264 for holiday time

$440 + $148.5 + $264 = $852.5 in total

Answer:

4.5 feet

Step-by-step explanation:

Because one yard is 3 feet and half a yard is 1.5 feet and 3 plus 1.5 equals 4.5.

Answer:

4≥x

Step-by-step explanation:

The person has to be at least four feet (=) or he can be higher (>).

Final answer:

Each term is matched with its correct concept, revealing the fundamental concepts of biological macromolecules and their formation and breakdown through dehydration synthesis and hydrolysis.

Explanation:

Let's match each concept with its correct term:

Macromolecules such as proteins, carbohydrates, and nucleic acids are essential for life and are composed of smaller organic molecules called monomers. When these monomers join together through dehydration synthesis, they release a water molecule and form covalent bonds to create larger structures known as polymers. The opposite process, hydrolysis, involves adding water to break down polymers into monomers.

Answer:

D) (4, -1)

Step-by-step explanation:

When a point is translated down 4 units you need to subtract 4 from the y-coordinates. The x-coordinates will not change. Therefore (4, 3) will become (4, -1).

Answer:

Value of p is 1.2.

Now drag and drop the values as per explanation.

Step-by-step explanation:

Additive inverse of any number means a number which can be added to the original number to get

Two numbers are said to be additive inverse of each other if sum of both numbers is 0. For example if 5 is the given number then -5 will be it's additive inverse. So to find additive inverse, we basically change the sign of number.

Given number p is additive inverse off -1.2 so p must be 1.2.

Sum will obviously be 0.

So to graph them on number line, we make a point at -1.2, 1.2 and at 0 for their sum.

Answer:

x=0 , y=2

Step-by-step explanation:

x=y-2

4x+y =2

We can substitute the first equation in for x into the second equation

4*(y-2) +y =2

Distribute the 4

4y-8 +y =2

Combine like terms

5y-8 =2

Add 8 to each side

5y-8+8 = 2+8

5y= 10

Divide each side by 5

5y/5 =10/5

y=2

But we still need to find x

x = y-2

x = 2-2

x=0