In recent years, business failures in the United States numbered 63509. The chemical industry accounted for 9499 of these business failures. The Mid-West states accounted for 7900 of the business failures. Suppose that 1270 of all business failures were chemical businesses located in the Mid-West. A failed business is randomly selected from this list of business failures. What is the probability that the business is in the chemical industry if it is known that the business is located in the Mid-West

I need to deposit $1558.41 to have $2000 in the account in 5 years.

What is compound interest?

The interest charged on a debt or deposit is known as compound interest. It is the idea that we use the most regularly. Compound interest is calculated for a sum based on both the principal and cumulative interest.

    ∴ Compound interest = P(1 + \(\frac{r}{100*12}\))ⁿ  (∵ for monthly interest)

        P = Principal

        r = rate of interest per month

        n = number of months

Given:

r = 5% per month

n = 5 years = 5*12 = 60 months

  CI = P (1+5/(12 * 100))⁶⁰

2000 = P(1.0041)⁶⁰

2000 = P(1.2834)

      P = 1558.41

Therefore, the amount required to deposit is 1558.41 dollars to get 2000 dollars after 5 years with 5 percent interest per month.

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Answer:

  a) 120° +360°k, 150° +360°k, 210° +360°k, 240° +360°k

  b) 120°, 150°, 210°, 240°

Step-by-step explanation:

You want solutions to the equation (2cos(θ) +√3)(2cos(θ) +1) = 0.

The zero product rule tells you that a product is zero if and only if at least one factor is zero. Here, that means ...

  2cos(θ) +√3 = 0   ⇒   cos(θ) = -√3/2

  2cos(θ) +1 = 0   ⇒   cos(θ) = -1/2

In the attached figure, the cosine of the angle is the first number of each ordered pair. The angles that correspond to the values of cos(θ) above are ...

  120°, 150°, 210°, 240°

The cosine is periodic with period 360°, so "all solutions" will be ...

  120° +360°k, 150° +360°k, 210° +360°k, 240° +360°k

The data in the table can be modeled by this linear equation in slope-intercept form: y = 8x - 5.

The slope is 8, which means the wages earned increases at rate of 8 dollars per hour as the time increases.

The y-intercept is -5 and it represent the initial wages earned.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;

y = mx + c

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (24.00 - 8.00)/(3 - 1)

Slope (m) = 16.00/2

Slope (m) = 8

At data point (1, 3), a linear equation in slope-intercept form for this line can be calculated as follows:

y - y₁ = m(x - x₁)

y - 3 = 8(x - 1)

y = 8x - 8 + 3

y = 8x - 5

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Answer:

C) 36

Step-by-step explanation:

You have to add all the numbers together and then divide by the amount of numbers, in your case 5.

Answer:

\(E(x) = \frac{5}{2}\)

Step-by-step explanation:

Given

\(Die = 4\ sided\)

\(Side = \{1,2,3,4\}\)

Required

Determine E(x)

E(x) is calculated as thus:

\(E(x) = \sum x.f(x)\)

Since the die is fair.

\(f(x) = \frac{1}{4}\) for all sides of the die

So, we have:

\(E(x) = \sum x.f(x)\)

\(E(x) = 1 * \frac{1}{4} + 2 * \frac{1}{4} + 3 * \frac{1}{4} + 4 * \frac{1}{4}\)

\(E(x) = \frac{1}{4} + \frac{2}{4} + \frac{3}{4} + \frac{4}{4}\)

\(E(x) = \frac{1+2 +3+4}{4}\)

\(E(x) = \frac{10}{4}\)

\(E(x) = \frac{5}{2}\)

Answer:

18

Step-by-step explanation:

The ratio of strawberry yogurt cups to all of the yogurt is 6:10.  We know that there are 30 total yogurt cups, which is the same as 3 times 10.  to find the number of strawberry cups, 6 should be multiplied by 3 as well to equal 18.  18:30 is still the same ratio as 6:10

Answer:c

Step-by-step explanation:

Answer:

The given pattern does not form an arithmetic sequence as there is no common difference between each term. An arithmetic sequence is a sequence in which there is a fixed difference between each consecutive term. For example, 1, 3, 5, 7 is an arithmetic sequence with a common difference of 2 (adding 2 to each term gives the next term). However, the given pattern of 1/2, 1, 2/3, 2 does not follow this pattern as the difference between each term varies. Therefore, this pattern does not fit the definition of an arithmetic sequence.

Step-by-step explanation:

Answer:

(9,16)

Step-by-step explanation:

We Know

The equation y = 3x - 2

Find the y coordinate (9, ?)

We just simply put 9 in for x and solve for y

y = 3(9) - 2

y = 18 - 2

y = 16

So, the coordinate are (9,16)

Answer:

(0,3) and (1,-1)

Answer:

C on edge 2020

Step-by-step explanation:

For the equation below, x is the input and y is the output. Choose the ordered pair that makes a true statement for the equation.

y = -4x + 3

A-(-1, 1)

B-(0, -3)

C-(1, -1)

D-(2, 11)

Answer:

0 = 0 means that there are infinite solutions.

Step-by-step explanation:

Equation is -5(-4+2n)=-10(n-2)

1. Distribute the -5 and -10

20 -10n = -10n + 20

2. Subtract 20 from one side to the other to get only 1 variable on 1 side.

-10n = -10n

3. divide -10 to separate the variable from the constant.

n = n

This means there are infinite solutions.

Answer:

3sqaure root 100/5

Step-by-step explanation:

It would look like this picture Below

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Acute : An acute triangle is one in which all the angles less than 90 degree.

Right: Any triangle whose one angle measure is 90 degrees is called Right angled triangle.

Obtuse angle: Any triangle whose one angle measures more than 90 degrees is called Obtuse  angled triangle.

Equilateral : Any triangle whose all the sides are equal are called equilateral triangle. They also have all the angle equal which measures 60 degrees.

Scalene triangle : The triangle whose length of all the sides are different from each other are called scalene triangle.

Isosceles : the triangle whose two sides length are equal are called Isosceles triangle.  

Answer:

B,A

Step-by-step explanation:

Answer:

Can you give me an equation please and ill change this to the correct answer

Step-by-step explanation:

Answer:

x = 21, y = 15

Step-by-step explanation:

\((6x + 7) \degree + (3x - 16) \degree = 180 \degree \\ (exterior \: \angle s \: ) \\ \\ (9x - 9) \degree = 180 \degree \\ \\ 9x - 9 = 180 \\ \\ 9x = 180 + 9 \\ \\ 9x = 189 \\ \\ x = \frac{189}{9} \\ \\ x = 21 \\ \\ (11y - 32) \degree = (6x + 7) \degree \\ (vertical \: \angle s) \\ \\ (11y - 32) \degree = (6\times 21- 16) \degree \\ \\ (11y - 32) \degree = (126 + 7) \degree \\\\ (11y - 32) \degree = 133 \degree \\ \\ 11y - 32 = 133 \\ \\ 11y = 133 + 32 \\ \\ 11y = 165 \\ \\ y = \frac{165}{11} \\ \\ y = 15\)

Let x be the total number of questions.

Since we know that 60% is equal to 9 questions of the exam we have the equation:

where, as we stated above, x represents the total number of questions.

Solving for x we have:

therefore the exam has 15 questions.

Answer:

y = 3x + 3

Step-by-step explanation:

y = -x² + 4x + 5

→ Find the vertex

- ( x - 2 )² + 4 + 5 ∴ vertex = ( 2 , 9 )

→ Find the intersection with the x axis

- ( x - 5 ) ( x + 1 ) ∴ ( - 1 , 0 )

→ Find the gradient of the 2 point

( 0 - 9 ) ÷ ( -1 - 2 ) = 3

→ Write into y = mx + c format

y = 3x + c

→ Substitute in a coordinate pair

0 = -3 + c ∴ c = 3

→ Rewrite into y = mx + c

y = 3x + 3

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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Step-by-step explanation:

points on the line: (4, -2) & (-5, 3)

gradient of the line = -5/9

general equation for all straight lines: y = mx + c

substitute one coordinate and the gradient into the equation. 3 = (-5/9)(-5) + c

therefore, c = 2/9

so the general equation is y = (-5/9)x + 2/9

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Step-by-step explanation:

-2x + 8 = -4

=> 8 + 4 = 2x

=> 12 = 2x

=> x = 12/2

=> x = 6 (Ans)

Answer:

x= 6

Step-by-step explanation:

-2x + 8 = -4

      -8      -8    subtract 8 on both sides to get the variable (x) by itself

-2x = -12          bring down the remaining numbers

/-2     /-2          put both sides over -2 in order to have "x" by itself

x= 6                  solve

The value of each variable is:

x = 11 units

y = 11√2 units

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

We can find the value of each variable using trigonometric ratios:

tan 45° = x/11 (tan = opposite/adjacent)

1 = x/11

x = 11 units

sin 45° =  9/y (sine = opposite/hypotenuse)

(√2)/2 = 11/y

y = 11/ (√2)/2

y = 11√2 units

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The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.

The total number of visitors is 105 + 41 + 8 = 154.

The number of visitors who purchased one or more costumes is 41 + 8 = 49.

So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.

Hello!

D Would be your answer! Because At Midnight, the temperature was -8*f. At noon, 23*F, so

|-8-23| |-3||= 31  There you go! May I have Brainliest?

Answer:

H0​: μ ____ ≤ 31

H1​: μ ____  > 31  

The​ z-test statistic is ____  0.0369

The critical​ z-score(s) is(are) ____ ± 2.33

Because the test statistic _____________ falls within the critical values,

______do not reject, the null hypothesis.

Step-by-step explanation:

We want to find that the average class size is 31 or less so we set up our hypothesis as

H0​: μ ____ ≤ 31

H1​: μ ____  > 31   One tailed test

Here

Sample size = n=  40

Sample mean = x`= 33.1

Standard Deviation = σ= 9

Level of significance=∝= 0.01

The​ z-test statistic is ____  0.0369

z= x`- u/σ/√n

z= 33.1-31/9/√40

z= 2.1/56.92099= 0.03689= 0.0369

Z∝ for one tailed test for 0.01 significance level is ± 2.33

The critical​ z-score(s) is(are) ____ ± 2.33

Since the calculated value falls in the acceptance region we accept H0​: μ ≤ 31 and reject alternate hypothesis H1​: μ   > 31.

Because the test statistic _____________ falls within the critical values,

______do not reject, the null hypothesis.

Answer:

Bookkeeping is the activities concerned with the systematic recording and classification of financial data of an organization in an orderly manner. ... It also involves preparing source documents for the financial transactions and other business operations being carried out.

Answer:  Bookkeeping is the activities concerned with the systematic recording and classification of financial data of an organization in an orderly manner. It is essentially a record-keeping function done to assist in the process of accounting.

Step-by-step explanation: 1. RECORDING ALL TRANSACTIONS

The foremost objective of bookkeeping is to identify all financial transactions taking place in the company and recording them accurately. The accounts payable and receivable must be noted in chronological order to maintain the order that can be showcased in the books of accounts.

Most bookkeepers use accounting software in Melbourne to track transactions as it reduces the risk of manual error in recording numbers and the time consumed to complete the task. These records are highly relevant for the business to understand the incomings and outgoings and to get the required information in the future.

2. DETERMINING FINANCIAL STANDING OF THE BUSINESS

They have the responsibility of informing the entrepreneur and the board members about the financial status of the company. The same information is needed by shareholders and investors and the bookkeepers have to present it to them so that they can make informed decisions.

For example, the professional can be helpful in suggesting whether the investment in a new project in Melbourne is a viable option for the business or it will lead to losses and financial constraints. They are the best judge of the financial health of the business and can provide the required financial advice at any given time.  

3. MAINTAINING ACCURACY

Bookkeepers are focused on maintaining error-free and accurate records. For this purpose, they rely on the reconciliation of bank accounts in Melbourne. It ensures that if any inflow or outflow of capital is missed at the time of recording transactions, it can be identified and noted correctly.

Thus, they compare the monthly bank statements of the business account with the books to maintain precision. Besides bank statements, they also compare the credit card statements or money received from other financial institutions in Melbourne. It aids in recognising the inconsistencies and even acts of embezzlement to keep the business safe from fraud.              

4. PAYROLL MANAGEMENT

Bookkeepers have many added responsibilities when they are working in small organisations in Melbourne. Thus, they have to keep a tab on the payroll to ensure the employees are paid on time after calculating the taxes and deductions.

They disburse the payments in compliance with the state regulations. It is essential to do these calculations accurately as they are needed for reporting pay as you go withholding (PAYGW) and superannuation information to the Australian Taxation Office.

With the introduction of the Single Touch Payroll, the task of payroll reporting has become simplified and less burdensome.  

5. GENERATING FINANCIAL REPORTS

Besides preparing the financial budget, the other objectives of a bookkeeper include generating the financial reports and statements at regular intervals. These include cash flow statement, balance sheet, and the income statement.

They are needed to understand the profits made by the business and the losses it incurred in a given period. These give an insight into the income, expenses, net cash flow, debts, assets, and liabilities. They use them to understand the net profit and profitability of the business.

6. INVENTORY MANAGEMENT

Another objective of bookkeeping is keeping track of the inventory as it is needed to calculate the cost of goods sold. It can be determined by calculating the volume of stock sold in a defined timeframe.

Bookkeepers are also aware of the stock that is available for sale at any point in time through the amount purchased from the suppliers in Melbourne. They usually use two methods to check on inventory – periodic inventory, which involves manually counting the stock at regular intervals and perpetual inventory, which uses a computerised accounting system connected to the point-of-sale system.  

7. TAX PREPARATION

Preparing for the tax season in Melbourne is the most significant task of a bookkeeping company. They have to determine the tax liability of their client’s business through the analysis of the financial data. They aid in tax planning by understanding the applicable tax deductions and filing the tax returns on time to avoid penalties.

Typically, businesses have to pay sales, income and payroll tax and the bookkeeper helps in calculating the correct amount after the deductions. Thus, they help to save money as paying too much tax can lead to losses and too little can get the business in trouble.      

Perpendicular lines have slopes that are negative reciprocals of each other, so since the slope of the given line is 2, the slope of the line we want to find is -1/2.

Substituting into point-slope form,

\(y+2=-\frac{1}{2}(x-2)\\\\y+2=-\frac{1}{2}x+1\\\\\boxed{y=-\frac{1}{2}x-1}\)

ANSWER: y = (1/2)x - 1.

To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.

First, let's find the derivative of the function y = √(x - 3) using the power rule:

dy/dx = 1/(2√(x - 3))

Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:

m = dy/dx = 1/(2√(4 - 3)) = 1/2

So, the slope of the tangent line is 1/2.

Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:

y - y1 = m(x - x1)

Substituting the values (x1, y1) = (4, 1):

y - 1 = (1/2)(x - 4)

Simplifying the equation:

y - 1 = (1/2)x - 2

y = (1/2)x - 1

Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.

Answer:

y = (1/2)x - 1/2

Step-by-step explanation:

Step 1: Find the derivative of the function

The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:

d/dx (x^n) = nx^(n-1)

Applying this rule to our function, we get:

dy/dx = d/dx sqrt(x - 3)

To differentiate the square root function, we can use the chain rule of differentiation which states that:

d/dx f(g(x)) = f'(g(x)) * g'(x)

Applying this rule to our function, we have:

g(x) = x - 3

f(g) = sqrt(g)

So,

dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1

Substituting g(x) = x - 3, we get:

dy/dx = 1/(2*sqrt(x - 3))

So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).

Step 2: Evaluate the derivative at the given point

To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:

dy/dx = 1/(2*sqrt(4 - 3)) = 1/2

So, the slope of the tangent line at the point (4, 1) is 1/2.

Step 3: Use point-slope form to write the equation of the tangent line

Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is the point on the line and m is the slope of the line.

Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:

y - 1 = (1/2)*(x - 4)

Simplifying this equation, we get:

y = (1/2)x - 1/2

So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.

Hope this helps!