The current mean weekly wage in a certain industry is 2,117. if the mean weekly wage increases by 4.75% what is the new mean average

The crime that is often alcohol related is domestic violence. That is option D.

Domestic violence is defined as an abusive relationship that exist between two or more individuals that are closely related by blood or marriage.

The causes of domestic violence include the following:

Therefore, alcohol intake can lead to domestic violence because it can cause the abusive partner to have a reduction in cognitive and physical functions that impair self-control, with the consequent effect of reducing the ability to resolve conflicts nonviolently.

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The evaluation of the function gives 16.

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

To evaluate the  function f(x) =80/4x-3, we need to substitute the value of the input (i.e. x = 2). Thus:

f(x) = 80/(4x-3)

f(2) = 80/(4*2 - 3)

f(2) = 80/(8 - 3)

f(2) = 80/5

f(2) = 16

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The value of x in the intersecting secant and tangent lines is 40 degrees

From the question, we have the following parameters that can be used in our computation:

Intersecting secant and tangent lines

Using the theorem of intersecting secant and tangent lines, we have

x = 1/2 * difference of the arcs

Substitute the known values in the above equation, so, we have the following representation

x = 1/2 * (170 - 90)

Evaluate

x = 40 degrees

Hence, the value of x is 40

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Answer:

6.324555320336759

Step-by-step explanation:

To find a missing leg in a right triangle use Pythagorean Theorem.

a^2 + b^2 = c^2                        Substitution

6^2 + 2^2 = c^2                         Simplify

36 + 4 = c^2                               Simplify

40 = c^2                                     Simplify
6.324555320336759 = c

The new drug appears to reduce epileptic seizures since the rerandomized mean differences are close to the mean difference found between the two groups studied.

The rerandomized mean differences are:

1.2, 2.4, 1.8, 1.3, 2.1, 0.9, 1.5, 0.7, 2.1, and 2.3.

Several of these values are close to the observed mean difference of 1.8, which suggests that the observed difference could be due to chance alone.

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Since the dimensions of Lesley's bedroom are 7m by 6m, the area is 42 square meters.

The area is the space occupied by a two-dimensional object or space.

The dimensions for the measurement of the area are length and width.

Area is always stated in square units, for example, meters, miles, kilometers, centimeters, etc.

Dimensions of Lesley's bedroom:

Length = 7 m

Width = 6 m

Thus, the area of the bedroom = 42 m² (7 x 6).

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The quantity of candy that Eric ate would be = 14/15

The quantity of Candy Kim had = 2⅓ pounds.

The quantity of Kims candy that Eric ate = 2/5

That is 2/5 of 2⅓.

The actual quantity of candy that Eric ate = 2/5× 7/3 = 14/15

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Answer:

P((1 + r)^4) = 1,300

P((1 + r)^7) = 1,525

-----------------------

(1 + r)^3 = 61/52, so r = .0547 = 5.47%

P(1.0547^4) = 1,300, so P = $1,050.78

Answer:

2.25 units³

Hope this helps!

Step-by-step explanation:

The formula, base, and height are already given so all you have to do is multiply 2 with [tex]3\frac{3}{8}[/tex].

2 × [tex]\frac{9}{8}[/tex]  =  [tex]\frac{9}{4}[/tex]  =  2.25 units³

We do not need both the Celsius and Fahrenheit formulas

From the question, we have the following parameters that can be used in our computation:

The temperature equations

The general rule is that we need any of the temperature units to find the other temperature unit

This in other words means that we do not need both temperature units to find any of these two temperature units

Hence the statement is false

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Answer: (-3^4^-7)^-3 can be expressed with positive exponents as (-1/3^4^7)^3.

Step-by-step explanation:

First, we need to evaluate the exponents of the expression from the highest power to the lowest power. Since the exponent of 7 is negative, we need to apply the rule that a negative exponent indicates a reciprocal. Therefore, we can rewrite the expression as (-3^4^-1/7)^-3.

Next, we can simplify the expression -1/7 by flipping it to 7^-1. Therefore, we now have (-3^4^7^-1)^-3.

We can now evaluate the exponent of 4, which gives us (-3^16384^-1)^-3.

Finally, we can simplify 16384^-1 by flipping it to 1/16384, which gives us (-1/3^1/16384)^3.

This expression can be written using only positive exponents as (-1/3^4^7)^3.

Answer: B. (1, 8)

Step-by-step explanation:

Hope this helps! :)

The line plot is not symmetric because the numbers of siblings range from 0 to 8.

a. The line plot is not symmetric because the numbers of siblings range from 0 to 8. The number of students with 0 siblings is much greater than the number of students with 8 siblings.

b. The distribution is skewed left, meaning that the majority of students have fewer siblings than the average.

c. Since the distribution is skewed left, the median would be a better measure of the center because it is not affected by the outliers. The median number of siblings is 0. To measure the spread of the distribution, we can use the range, which is 8.

Therefore, the line plot is not symmetric because the numbers of siblings range from 0 to 8.

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The model y = 200(0.65)ⁿ represents exponential decay because the value of the bike decreases over time as t increases.

The value of the bike decreases by approximately 40.67% per year.

The value of the bike will be $50 approximately 5.2 years after it was purchased.

a. A = Peⁿ = 200e⁻⁰.⁴³⁰⁷≈ 118.66

The value of the bike after one year is approximately $118.66.

b. percent decrease = (initial amount - final amount) / initial amount * 100%

percent decrease = (200 - 118.66) / 200 * 100% ≈ 40.67%

c. We can set y = 50 in the model and solve for t:

50 = 200(0.65)ⁿ

0.65ⁿ = 0.25

Taking the natural logarithm of both sides, we get:

ln(0.65ⁿ) = ln(0.25)

t ln(0.65) = ln(0.25)

t = ln(0.25) / ln(0.65) ≈ 5.20

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a: $145,912,000,000

b: 4.6 bn shares

c: $31.72/per share (divide in half)

Tom traveled for 4 hours by train and 4 hours by plane, for a total trip time of 8 hours.

We have,

Let's call the number of hours Tom traveled by train t.

Since he traveled the same number of hours by plane, he also traveled for t hours at 275 mph.

The total distance he traveled is given by the sum of the distances traveled by train and by plane:

Distance by train = 50t

Distance by plane = 275t

Total distance = 1300

So we can set up the equation:

50t + 275t = 1300

Simplifying and solving for t, we get:

325t = 1300

t = 4

Therefore,

Tom traveled for 4 hours by train and 4 hours by plane, for a total trip time of 8 hours.

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The total investment done by Lydia when her total annual interest is $420 at 11% dividend and 14% interest is equal to $3360.

Total annual interest = $420

Half of the investment in stock paying = 11% dividend

Half of the investment in stock paying = 14% interest

Let x be the amount Lydia has invested in each stock.

Since she has half of her investments in each stock,

The following system of equations to represent the situation,

Total annual interest is $420.

This implies ,

0.11x + 0.14x = 420

And  total investment is,

x + x = 2x

Simplifying the first equation, we get,

⇒ 0.25x = 420

Dividing both sides by 0.25, we get,

⇒ x = 1680

So, Lydia has invested $1680 in each stock, for a total investment of,

⇒ 2x = 2(1680)

        = 3360

Therefore, Lydia has a total investment of $3360.

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Answer:

Given equations are,

5x+2y=−2        (1)

3x−5y=17.4      (2)

Multiply equation (1) by 5 and equation (2) by 2, we get,

5(5x+2y)=5×−2

∴25x+10y=−10          (3)

2(3x−5y)=2×17.4

∴6x−10y=34.8          (4)

Adding equations (3) and (4), we get,

31x=24.8

∴x=

31

24.8

​

Put this value in equation (1), we get,

5(

31

24.8

​

)+2y=−2

∴

31

124

​

+2y=−2

∴2y=−2−

31

124

​

∴2y=

31

−186

​

∴y=

31

−93

​

Step-by-step explanation:

Answer:

governmental fund financial statements and government-wide financial statements have different purposes and accounting methods. Governmental fund financial statements focus on the short-term financial performance and accountability of individual funds, using the modified accrual basis of accounting. Government-wide financial statements provide a broader and longer-term perspective of the government's financial position and activities, using the full accrual basis of accounting.

To reconcile between these two types of statements, some adjustments are needed to account for the differences in measurement focus and basis of accounting. Here are the steps to prepare the reconciliations for Part A and Part B:

Part A: Reconciliation between the Governmental Fund Balance Sheet and the Government-wide Statement of Net Position at 12/31/22.

- Start with the total fund balance of the governmental funds as reported in the fund balance sheet ($200,000).

- Add the net value of capital assets (acquisition value minus accumulated depreciation) as reported in the government-wide statement of net position. This is because capital assets are not reported in governmental fund financial statements, but are reported in government-wide financial statements. The net value of capital assets can be calculated as follows:

- Acquisition value of capital assets as of 1/1/22: $10,000,000

- Plus: Purchases of capital assets during 2022: $1,000,000

- Less: Sales of capital assets during 2022: $30,000

- Equals: Acquisition value of capital assets as of 12/31/22: $10,970,000

- Less: Accumulated depreciation as of 1/1/22: $5,200,000

- Less: Depreciation expense for 2022: $500,000

- Equals: Accumulated depreciation as of 12/31/22: $5,700,000

- Net value of capital assets as of 12/31/22: $5,270,000

- Subtract the amount of bonds payable as reported in the government-wide statement of net position. This is because bonds payable are not reported in governmental fund financial statements, but are reported in government-wide financial statements. The amount of bonds payable can be calculated as follows:

- Bonds payable as of 1/1/22: $3,200,000

- Plus: Issuance of bonds payable during 2022: $400,000

- Less: Repayment of bonds payable during 2022: $200,000

- Bonds payable as of 12/31/22: $3,400,000

- Subtract the amount of accrued interest payable on long-term debt as reported in the government-wide statement of net position. This is because accrued interest payable is not reported in governmental fund financial statements, but are reported in government-wide financial statements. The amount of accrued interest payable is given as $180,000.

- Add the amount of property taxes receivable that are not available to pay current liabilities as reported in the governmental fund balance sheet. This is because property taxes receivable that are not available are not recognized as revenues in governmental fund financial statements, but are recognized as revenues in government-wide financial statements. The amount of property taxes receivable that are not available can be calculated as follows:

- Total property taxes receivable as of 12/31/22: $80,000

- Less: Property taxes receivable expected to be collected within 60 days of year-end: $60,000

- Property taxes receivable that are not available as of 12/31/22: $20,000

- The resulting amount is the net position of governmental activities as reported in the government-wide statement of net position.

The reconciliation can be presented in a table format as follows:

| Reconciliation of Total Fund Balance to Net Position | Amount |

| ----------------------------------------------------- | ------ |

| Total fund balance - governmental funds | \$200,000 |

| Capital assets used in governmental activities are not financial resources and therefore are not reported in the funds | \$5,270,000 |

| Long-term liabilities applicable to governmental activities are not due and payable in the current period and therefore are not reported in the funds | \(-\$3,580,000\) |

| Revenues in the statement of activities that do not provide current financial resources are not reported as revenues in the funds | \$20,000 |

| Net position - governmental activities

The coupon rate of the bonds by King of Diamonds Industries would be 7 %.

The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:

= (Coupon payment  x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value /  (1  + rate )^ number of years

1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14

103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x  (1 - ( 1 + 0.07) ^ ( - 14) )

Using a calculator, C is $ 70.

This means that the coupon rate is:

= 70 / 1, 000

= 7 %

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The maximum value above is 46 at (2, 6). The production output goal which refers to the maximisation of profits relative to production is described by the objective function.

The production output goal which refers to the maximisation of profits relative to production is described by the objective function, which is a mathematical equation. The quantity of the final result is then calculated using the correlation between the variables. In other words, it's a formula that companies employ to meet their production and profitability objectives.

F = 5x + 6y

The coordinates of the feasible region are (0, 6), (1, 6.5) and (2, 6)

Substitute (0, 6), (1, 6.5) and (2, 6) in the above equation

F(0, 6) = 5(0) + 6(6) = 36

F(1, 6.5) = 5(1) + 6(6.5) = 44

F(2, 6) = 5(2) + 6(6) = 46

The maximum value above is 46 at (2, 6)

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Answer: The coordinates of K' and M' are (-2,3) and (-4,1)

The rectangular piece of paper has a perimeter of 48.34 units.

The perimeter of a rectangle is given by the sum of the lengths of all its sides.

To find the perimeter of this rectangular sheet of paper, we need to add up the lengths of its four sides.

The length of the rectangle is 12 + 1 by 2 = 13.5 units, and its width is 10 + 2 by 3 = 11.67 units.

Therefore, the perimeter of the rectangle is:

P = 2(length + width)

P = 2(13.5 + 10.67)

P = 2(24.17)

P = 48.34 units

So the perimeter of the rectangular sheet of paper is 48.34 units.

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The number of suspects had less than two prior arrests are 3.

Given that, While reviewing the previous day’s arrest report.

Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.

Here, x+y=5 -----(i)

2x+3y=12 -----(ii)

From equation (i), x=5-y in equation (ii), we get

2(5-y)+3y=12

10-2y+3y=12

10+y=12

y=2

Substitute y=2 in equation (i), we get

x+2=5

x=3

Therefore, the number of suspects had less than two prior arrests are 3.

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Answer:

(2,2), (4,8), (3,4)

Step-by-step explanation:

Plug in the x-coodinate and it should equal your desired y value

Answer:

The correct equation that initially models the value of Rob's boat is option A, y = 40,000(0.93)*.

Since the value of the boat decreased by 7% each year, the value of the boat after three years can be represented by:

y = 40,000(0.93)^3

where y is the value of the boat after three years, and 40,000 is the initial value of the boat.

Simplifying this equation, we get:

y = 40,000(0.7951)

y = 31,804

However, we know that the actual value of the boat after three years was $32,174.28. This means that our initial assumption that the boat decreased by 7% each year is incorrect and we need to adjust the equation accordingly.

To find the correct equation, we can use the formula for exponential decay:

y = a(1 - r)^t

where y is the final value, a is the initial value, r is the rate of decay (expressed as a decimal), and t is the time in years.

In this case, we know that the final value of the boat is $32,174.28, and that the boat was owned for three years. We also know that the value of the boat decreased by 7% each year.

So we can set up an equation:

32,174.28 = 40,000(0.93)^3

Simplifying this equation, we get:

32,174.28 = 31,804.00

This equation is approximately true, which means that the initial value of the boat was $40,000 and the correct equation that initially models the value of Rob's boat is:

y = 40,000(0.93)^t

where t is the time in years.

3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

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The height of the planter box is 15 inches.

We have,

The volume of a rectangular prism is given by the formula:

V = l w h

where V is the volume, l is the length, w is the width, and h is the height.

In this case, we know that the length is 12 1/2 inches and the width is 10 inches, and the volume is 1,875 cubic inches.

So we can plug these values into the formula and solve for the height:

[tex]1,875 = (12 \frac{1}{2})\cdot 10 \cdot h[/tex]

Multiplying the length and width, we get:

1,875 = 125h

Dividing both sides by 125, we get:

h = 15

Therefore,

The height of the planter box is 15 inches.

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