Dean Willis earns $315.75 per weck. The Social Security tax rate is 6.2% and Medicare tax is 1.45% of gross pay. How much is the deduction from his pay check for Social Security and Medicare?

To fill in the missing amounts in the balance sheet after the following transactions, we first need to find out the effects of each transaction on the balance sheet.

Transaction 1: Sold product purchased for $750 for $1,525.00.The effect of this transaction on the balance sheet will be:Cash +$1,525.00 (+$1,525 from the sale)Owner's Equity +$775.00 (profit from the sale)Transaction

2: Purchased equipment for $500.The effect of this transaction on the balance sheet will be:Cash -$500.00Equipment +$500.00Transaction

3: Paid rent by check for $450.The effect of this transaction on the balance sheet will be:Cash -$450.00Transaction

4: Received next month's power bill for $155.00.The effect of this transaction on the balance sheet will be:

No effect on the balance sheet as it has not been paid yet.Now, we can fill in the missing amounts in the balance sheet as follows:

Assets Liabilities and Owner's Equity Cash $ 1,130.00 Accounts Payable $ - Equipment $ 500.00 Owner's Equity: Investment $ 3,500.00 Profit $ 775.00 Total $ 4,130.00 Total $ 4,130.00Thus, the balance sheet will show $1,130 in cash, $500 in equipment, and a total owner's equity of $4,275.

This balance sheet is balanced because the total assets equal the total liabilities and owner's equity.

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Answer:

B) y = 5x + 29

Step-by-step explanation:

A parallel line means it will have the same slope.

    So far our equation looks like this: y = 5x + b

We will now plug in (-6, -1) to solve for b.

    y = 5x + b

    (-1) = 5(-6) + b

    -1 = -30 + b

    29 = b

So our answer is y = 5x + 29

    This is option B

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

he gained over all

Step-by-step explanation:

if he earns $8 than loses $4 we would use this equation. 8-4 to find out that he still has $4.

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

Length =15cm

Breath =8cm

Diagonal =

(length)

2

−(breath)

2

=

(15)

2

+(8)

2

=17cm

Scatter plots are employed to demonstrate data points on a vertical and horizontal axis in an effort to illustrate how much one variable influences another. The position of the marker that symbolises each row in the data table is determined by the values of the sections plotted on the X and Y axes. Using a scatter plot, ascertain the relationship or correlation among two variables.

The scatterplot reveals a significant link between the variables.

There is an exponential curve in the scatterplot.

y = 6.7e⁰³³ˣ is the equation for the line or curve of best fit.

The R-squared value of 0.9995 shows that this equation is an excellent predictor of the data. The R-squared number shows that the model

accounts for 99.95% of the variation in the data. This demonstrates that the model accurately predicts the data.

In conclusion, the scatterplot displays an exponential curve and the data are highly connected. y = 6.7e⁰³³ˣ is the equation for the line or curve that best fits the data, and the R-squared value indicates how well it predicts the data.

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Graph attached below,

Answer:

-1, 0, 1, 2

Step-by-step explanation:

range of x in − 2 < x < 3:  -1, 0, 1, 2

range of x in − 2 ≤ x ≤ 2:  -2, -1, 0, 1, 2

a) after 30 minutes, they will 12.5 m apart

b)  25  is the distance between the boats changing 30 minutes after they leave port

The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.

Let x represent the length the shorter leg(west) of the right angle triangle.

Let y represent the length the longer leg(south) of the right angle triangle.

Let z represent the hypotenuse.

Applying Pythagoras theorem

Hypotenuse² = opposite side² + adjacent side²

Therefore

z² = x² + y²

 = 20^2+15^2

 z = 25

but after 30 minutes one travels 10mph

and another 7.5mph

then

z= 12.5

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Answer:C. f(x)=7+5x

Step-by-step explanation:

12=5(1)+n

12=5+b

-b+12=5

-b=5-12

5-12=7

-b=7

f(x)=7+5x

I know this because I just answered this question and got it right

The equation of the function is f(x) = 7 + 5x option (C) f(x) = 7 + 5x is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The table is given,

From the data given in the table:

12 = 5(1)+n

12 = 5+b

b = 7

The function would be:

f(x) = 7 + 5x

Thus, the equation of the function is f(x) = 7 + 5x option (C) f(x) = 7 + 5x is correct.

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Given:

\(\begin{aligned}&x^2+y^2=16 \\&z=x y\end{aligned}\)

Express 16 as \(4^{2}\): \(x^2+y^2=16\)

\(x^2+y^2=4^2\\x^2+y^2=4^2 \times 1\)

Trignometry,

\(\cos ^2(t)+\sin ^2(t)=1\)

Now, substitute \(\cos ^2(t)+\sin ^2(t)\) for 1:

\(\begin{aligned}&x^2+y^2=4^2 \times 1 \\&x^2+y^2=4^2 \times\left[\cos ^2(t)+\sin ^2(t)\right]\end{aligned}\\x^2+y^2=4^2 \times \cos ^2(t)+4^2 \times \sin ^2(t)\)

Law of indicates:
\(\begin{aligned}&x^2+y^2=[4 \times \cos (t)]^2+[4 \times \sin (t)]^2 \\&x^2+y^2=[4 \cos (t)]^2+[4 \sin (t)]^2\end{aligned}\\x^2=[4 \cos (t)]^2 \text { and } y^2=[4 \sin (t)]^2\)

Taking positive square roots as follows:

\(x=4 \cos (t), y=4 \sin (t)\)

Recall that, z = xy.

Now, we have:

\(\begin{aligned}&z=4 \cos (t) \times 4 \sin (t) \\&z=16 \cos (t) \cdot \sin (t)\end{aligned}\)

Now, substitute the values:
\(r(t)=x_t i+y_t j+z_t k\)

So, the vector r(t) is: \(r(t)=(4 \cos (t)) i+(4 \sin (t)) i+(16 \cos (t) \cdot \sin (t)) i\)

Therefore, the vector function r(t) is written as: \(r(t)=x_t i+y_t j+z_t k\)

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Answer:

2.6 kilometers

Step-by-step explanation:

To find the circumference of a circle, we can use the formula:

Circumference = π * diameter

Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:

Circumference = π * 840

Using the approximate value of π as 3.14159, we can calculate the circumference:

Circumference = 3.14159 * 840

Circumference ≈ 2643.1796 meters

To convert the circumference to kilometers, we divide the value by 1000:

Circumference in kilometers = 2643.1796 / 1000

Circumference ≈ 2.6432 kilometers

Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).

The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).

Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.

The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.

Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:

Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,

we have:Length of the field, l = 11 m

Width of the field, w = 12 m

Area of the field = l × w = 11 × 12 = 132 sq. m

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Answer:

-6 and 6

Step-by-step explanation:

Answer:

I'm so sorry if this is wrong but from what I remember being taught it's -5,1. if not then -2,6

By increasing the available amount of machine hours by 200, the additional profit per hour earned would be $820.

The shadow price represents the additional profit generated per unit change in the availability of a resource. In this case, the shadow price for machine hours is $8.20. It means that for every additional machine hour, the profit increases by $8.20.

The given information states that the shadow price is valid for an increase of 1416 and a decrease of 250 machine hours. Therefore, an increase of 200 machine hours falls within the valid range.

To calculate the additional profit per hour, we multiply the increase in machine hours by the shadow price: $8.20 × 200 = $1,640. Hence, the answer is $1,640. This corresponds to option 5, "$1,640."

Therefore, by increasing the available amount of machine hours by 200, the company can expect to earn an additional profit of $1,640 per hour.

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Wave interference that results in greater wave amplitude is called Constructive interference.

What is Wave Interference?

Wave interference is a physical phenomena that occurs when two waves collide while traveling through the same medium. Waves interact in two ways.

a) Constructive Interference - In this case, the two waves cancel each other out because their amplitudes are equal and opposite.

b) Destructive Interference - This occurs when two waves add to each other as they travel in the same direction, resulting in a wave with a longer wavelength.

It is Constructive interference.

Therefore, Wave interference that results in greater wave amplitude is called Constructive interference.

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Answer:

Step-by-step explanation:

stop being a youser  :P  Youser    ... I hope  you're not... anyway...

back to math

we are given a point at (3.5, 2.5)  as a midway point

and also point A as P1(2,5)

so we could find the slope of those two points, but,  by observation I can see the slope.   and so can you.

b/c from point A to the mid point,  x moves from 2 to 3.5 ... or 1.5 units over.   we can use that with the change in Y to find the slope.

so when x moves 1.5 units, then y changes from 5 to 2.5.  which is a change of 2.5 units

so now we know the slope... it's rise over run.  here that's

2.5 / 1.5... also this is downhill... from 5 to 2.5 is going down a hill.  so this is negative also

-1.66666666,  or -1 \(\frac{2}{3}\) is the slope.  just by observation

so go over another 1.5 to get to B and then x = 3.5+1.5    or 5

5 is the x coordinate of B

we also know that Y will decrease by 2.5 as we move along the x axis 1.5 units.   so now Y = 2.5-2.5  or zero  

so the Y coordinate of B is 0

B=(5,0)  

see how I did that?

0.1071428571428571 is the probability that the total value is exactly 35 cents.

What is probability ?

The only way you can get 35 cents is with 1 quarter and 2 nickels     (talk about funny money)

There are 3 ways to pick up a quarter  3C1

and there are 3 ways you can pick up 2 nickels   3C2

So there are  3*3=9 ways to choose 1 quarters and 2 nickels.   That is 9 favourable outcomes :)

Now, there are  9C3=84  ways to choose 3 coins from 9  SO

The probability of picking up 35c is    

                   \(\frac{9}{84} = \frac{3}{28} = 0.1071428571428571\)

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The complete question is -

Steve has three quarters, three nickels and three pennies. If Steve selects three coins at random and without replacement, what is the probability that the total value is exactly 35 cents?

Answer:

168

Step-by-step explanation:

21*8=168

Answer:

168 ft ^2

Step-by-step explanation:

Tofind the Area of a rectangle you multiply the Length by the width. By doing this we get the equation Area = 21 * 8. By doing multiplication we get area to be 168.

To calculate the present value of the winnings, we would need to know the total amount of the winnings and the interest rate or discount rate used to calculate the present value. Without that information, it is impossible to provide an accurate answer.

Please provide more information for a precise response. To answer your question, I need to know the details of the winnings, such as the amount, number of payments, and the interest rate. Without this information, I cannot calculate the present value. However, I can explain the steps to calculate the present value of the winnings when the first payment comes immediately.

1. Determine the amount of each payment (winnings).
2. Identify the number of payments.
3. Identify the interest rate used for discounting future payments.
4. Calculate the present value of each payment using the formula:

PV = Payment / (1 + interest rate) ^ n

where PV is the present value, n is the number of periods (e.g., years) into the future that the payment occurs, and the interest rate is in decimal form (e.g., 5% = 0.05).

5. Add the present values of all payments together to get the total present value of the winnings. Remember not to round any intermediate calculations and to enter your final answer in millions rounded to 2 decimal places.

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Answer:

x = 1/4  Happy to Help! Mark me brainliest

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

Solve for x:

6.2 = x - 11.8

6.2 = x - 11.8 is equivalent to x - 11.8 = 6.2:

x - 11.8 = 6.2

Add 11.8 to both sides:

x + (-11.8 + 11.8) = 11.8 + 6.2

11.8 - 11.8 = 0:

x = 6.2 + 11.8

6.2 + 11.8 = 18:

Answer: x = 18

Answer:

x-11.8=6.2

Step-by-step explanation:

add 11.8 for both sides

then x=11.8+6.2

the result of adding is 18

x=18.0

S.S={18.0}

The general solution to the differential equation dy/dx = 1/3(sin x − xy^2), y(0)=5 is: y = ±√[(sin x - e^(x/2)/25)/x], if sin x - xy^2 > 0 and y(0) = 5

To solve this differential equation, we can use separation of variables.

First, we can rearrange the equation to get dy/dx on one side and the rest on the other side:

dy/dx = 1/3(sin x − xy^2)

dy/(sin x - xy^2) = dx/3

Now we can integrate both sides:

∫dy/(sin x - xy^2) = ∫dx/3

To integrate the left side, we can use substitution. Let u = xy^2, then du/dx = y^2 + 2xy(dy/dx). Substituting these expressions into the left side gives:

∫dy/(sin x - xy^2) = ∫du/(sin x - u)

= -1/2∫d(cos x - u/sin x)

= -1/2 ln|sin x - xy^2| + C1

For the right side, we simply integrate with respect to x:

∫dx/3 = x/3 + C2

Putting these together, we get:

-1/2 ln|sin x - xy^2| = x/3 + C

To solve for y, we can exponentiate both sides:

|sin x - xy^2|^-1/2 = e^(2C/3 - x/3)

|sin x - xy^2| = 1/e^(2C/3 - x/3)

Since the absolute value of sin x - xy^2 can be either positive or negative, we need to consider both cases.

Case 1: sin x - xy^2 > 0

In this case, we have:

sin x - xy^2 = 1/e^(2C/3 - x/3)

Solving for y, we get:

y = ±√[(sin x - 1/e^(2C/3 - x/3))/x]

Note that the initial condition y(0) = 5 only applies to the positive square root. We can use this condition to solve for C:

y(0) = √(sin 0 - 1/e^(2C/3)) = √(0 - 1/e^(2C/3)) = 5

Squaring both sides and solving for C, we get:

C = 3/2 ln(1/25)

Putting this value of C back into the expression for y, we get:

y = √[(sin x - e^(x/2)/25)/x]

Case 2: sin x - xy^2 < 0

In this case, we have:

- sin x + xy^2 = 1/e^(2C/3 - x/3)

Solving for y, we get:

y = ±√[(e^(2C/3 - x/3) - sin x)/x]

Again, using the initial condition y(0) = 5 and solving for C, we get:

C = 3/2 ln(1/25) + 2/3 ln(5)

Putting this value of C back into the expression for y, we get:

y = -√[(e^(2/3 ln 5 - x/3) - sin x)/x]

So the general solution to the differential equation dy/dx = 1/3(sin x − xy^2), y(0)=5 is:

y = ±√[(sin x - e^(x/2)/25)/x], if sin x - xy^2 > 0 and y(0) = 5

y = -√[(e^(2/3 ln 5 - x/3) - sin x)/x], if sin x - xy^2 < 0 and y(0) = 5

Note that there is no solution for y when sin x - xy^2 = 0.

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Answer:

∠2 = 105°

Step-by-step explanation:

180° -75° = 105°

The amount of fuel used per mile (m) = unit rate = 5.2 gallons per mile.

Initial amount (b) = 0 gallon.

A proportional relationship can be represented as an equation of the form y = mx, where x and y are variables and m is the constant of proportionality, also known as the unit rate

Unit rate (m) = amount of fuel used per mile = 156/30 or 312/60 = 5.2 gallons per mile.

Initial amount (b) = starting value or y-intercept = 0 gallon.

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The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

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Answer:

24

Step-by-step explanation:

when you open up the parenthesis, you get -8x-3 which is 24.

negative x negative = positive

Answer:

24

Step-by-step explanation: