A valuable watch has an original price of $x. It is sold for $5304 after its original price has been increased by 2% and then by 4%. Find x.
SHOW YOUR WORKING. ​

The bank needs to buy and sell 20,000 dollars.

To calculate the amount of American dollars that should be bought and sold by the bank to earn a profit of Rs 9000, we first need to determine the exchange rate difference between the buying and selling rates:

Exchange rate difference = selling rate - buying rate

Exchange rate difference = Rs 117.30 - Rs 116.85

Exchange rate difference = Rs 0.45

This means that for every dollar bought and sold by the bank, there is a difference of Rs 0.45. To earn a profit of Rs 9000, we need to find out how many dollars the bank needs to buy and sell to make this amount of profit.

Let X be the amount of American dollars the bank needs to buy and sell to earn a profit of Rs 9000.

Profit = Exchange rate difference × X

Rs 9000 = Rs 0.45 × X

To calculate the amount of American dollars that should be bought and sold by the bank to earn a profit of Rs 9000, we first need to determine the exchange rate difference between the buying and selling rates:

Exchange rate difference = selling rate - buying rate

Exchange rate difference = Rs 117.30 - Rs 116.85

Exchange rate difference = Rs 0.45

This means that for every dollar bought and sold by the bank, there is a difference of Rs 0.45. To earn a profit of Rs 9000, we need to find out how many dollars the bank needs to buy and sell to make this amount of profit.

Let X be the amount of American dollars the bank needs to buy and sell to earn a profit of Rs 9000.

Profit = Exchange rate difference × X

Rs 9000 = Rs 0.45 × X

To solve for X, we can divide both sides by 0.45:

X = Rs 9000 ÷ Rs 0.45

X = 20,000

Therefore, the bank needs to buy and sell 20,000 American dollars to earn a profit of Rs 9000.

To calculate the amount of American dollars the bank needs to buy and sell, we first need to determine the exchange rate difference between the buying and selling rates. This is done by subtracting the buying rate from the selling rate. The resulting exchange rate difference gives us the profit the bank earns for every dollar bought and sold.

Next, we use the exchange rate difference to calculate the amount of American dollars needed to earn a profit of Rs 9000. We set up an equation where the profit is equal to the exchange rate difference multiplied by the amount of American dollars bought and sold. We solve for X, which represents the amount of American dollars needed to earn the profit of Rs \(9000.\)

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ANSWER

• Exponential model: ,horizontal asymptote

• Logarithmic model: ,vertical asymptote

EXPLANATION

The exponential model has always a horizontal asymptote. In the parent function f(x) = aˣ, the asymptote is the x-axis because the function approaches 0 as x approaches infinity.

The logarithmic model has always a vertical asymptote. In the parent function f(x) = logₐ(x), the asymptote is the y-axis because the function approaches infinity as x approaches 0.

The number of solutions to x₀ + x₁ + ... + \(x_{k}\) = n with each value of x to be a non-negative integer xₐ is (n +  k).

Solved using the technique of stars and bars, also known as balls and urns.

Imagine you have n identical balls and k+1 distinct urns.

Distribute the balls among the urns such that each urn has at least one ball.

First distribute one ball to each urn, leaving you with n - (k+1) balls to distribute.

Then use k bars to separate the balls into k+1 groups, with the number of balls in each group corresponding to the value of xₐ.

For example, if the first k bars separate x₀ balls from x₁ balls, the second k bars separate x₁ balls from x₂ balls, and so on, with the last k bars separating \(x_{k-1}\) balls from \(x_{k}\) balls.

The number of ways to arrange n balls and k bars is (n + k) choose k, or (n +k) choose n.

This is the number of solutions to x₀ + x₁ + ... + \(x_{k}\) = n, where each xₐ is a non-negative integer.

Therefore, the number of solutions to x₀ + x₁ + ... + \(x_{k}\) = n with non-negative integer xₐ is (n +  k).

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The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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Answer:

cos 32° = 12/x

x = 14.15

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3x-7=8

x=5

Answer:

A

Step-by-step explanation:

Answer:

$13,304

-We use the compound interest function to determine the rate of growth.

-Given that the amount doubles in 13 years, the annual growth  rate is calculated as:

We now substitute this value of i in the compound interest formula equation to solve for future value:

Hence, the future value to the nearest dollar is $13,304

*You can alternatively use the exponential growth function:

This is slightly off by just $1

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

-133/-7=19+15=39

check:39-15=19

19x(-7)=-133

Consequently, the room has a 7 meter width. The room's length is

\(= 7 * 3 meters = 21 meters\)

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

Given that the length of the rectangular space is three times its breadth

The chamber has a 56-meter perimeter.

Assume that the room's width is x.

As a result, the room is three times as long.

The room's perimeter is now equal to 2(3x + x).

\(Here, 2(3x + x) = 56\\ 2 * 4x = 56\\ 8x = 56\\ x = 7.\)

Consequently, the room has a 7 meter width.

The room's length is

\(= 7 * 3 meters\\= 21 meters\)

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Answer:

C

Step-by-step explanation:

he forgot to multipy to 6

Answer:The 99% confidence interval is

To find the 99% confidence interval for the mean systolic blood pressure (SBP) level, we use the formula:

CONFIDENCE INTERVAL = Mean ± Z * (Standard Deviation / √n)

Where:

Mean is the sample mean of SBP

Z is the Z-score corresponding to the desired confidence level

Standard Deviation is the population standard deviation

Explanation:

Given that the sample size is 13 and the standard deviation is 10, we need to calculate the sample mean and the Z-score for the 99% confidence level.

First, we calculate the sample mean:

Mean = (129 + 134 + 142 + 114 + 120 + 116 + 133 + 142 + 138 + 148 + 129 + 133 + 140) / 13

= 1724 / 13

≈ 132.62

Next, we need to determine the Z-score for a 99% confidence level. The Z-score can be found using a Z-table or a statistical calculator. For a 99% confidence level, the Z-score is approximately 2.576.

Now, we can calculate the confidence interval:

Confidence Interval = 132.62 ± 2.576 * (10 / √13)

132.62 ± 2.576 * (10 / 3.6056)

≈ 132.62 ± 2.576 * 2.771

≈ 132.62 ± 7.147

Therefore, the 99% confidence interval for the mean SBP level is approximately (125.47, 139.77).

Step-by-step explanation:

So, We are given one condition that:-

Hope it helps :)

Option C. 0.67. To estimate the value of √(2π/√5), we first need to simplify the expression as much as possible.

One approach is to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of the denominator:

√(2π/√5) * (√5/√5) = √(2π√5)/(√5√5) = √(10π)/√(5*5) = √(10π/25)

Now, we can simplify the expression further by canceling out the square root of 25:

√(10π/25) = √(2π/5)

Next, we can use a calculator to evaluate the expression. Simply input 2π/5 and then take the square root of the result. Doing this yields:

√(2π/5) ≈ 0.671

Therefore, the closest answer choice is C) 0.67.

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Answer: 113.1 in.

Step-by-step explanation:

C=2πr=2·π·18≈113.09734in

Hope this helped! :)

After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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Answer:

Step-by-step explanation:

Shawn will have:

Mark will have:

Together their target is 225:

Correct choice is D

Now they will have eq.,

→ Shawn = 16 + 10x

→ Mark = 22 + 7x

They togetherly get their target,

→ 16+ 10x + 22 + 7x = 225

→ 38 +17x = 225

Hence, option (D) is the answer.

Answer:

Timed test.

Step-by-step explanation:

An operational definition gives exactly what the independent variable means and its mode of measurement. The Independent variable is the variable in a research or experimental study which causes a change in the the measured variable. Hence, the independent variable is the predictor variable. In the study above, the independent variable is the timed test which is used to observe changes in the heart rate of the test taker (test anxiety). The change innheartrate of the test taker is the dependent variable.

Answer:

A postulate :)

Step-by-step explanation:

This is because a postulate is a statement that is assumed true without proof, while a theorem is a true statement that can be proven.

Hope this helps!

Based on the given information, it appears that 42% of the men and 32% of the women in the sample were shopping online at work.

This suggests that a significant portion of employees are engaging in online shopping during working hours. These statistics may not be favorable for most employers, as it indicates a potential decrease in productivity.

Employers typically expect their employees to focus on work-related tasks during working hours.

Therefore, the resulting estimates of employees engaging in online shopping may not make employers happy. It is important for employees to prioritize their work responsibilities and minimize distractions, such as online shopping, to ensure optimal productivity in the workplace.

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(a) The velocity function v(t) of the car is obtained by taking the derivative of the position function s(t) = 4t - t^2, resulting in v(t) = 4 - 2t.

(b) The car's velocity is positive when t < 2 and negative when t > 2, indicating it moves in the opposite direction of the positive x-axis (to the west) after t = 2.

(a) The car's velocity, in miles per minute, is given by the derivative of the position function s(t). In this case, s(t) = 4t - t^2, so the velocity function v(t) is found by taking the derivative of s(t) with respect to t. Thus, v(t) = 4 - 2t.

(b) To determine when the car's velocity is positive or negative, we set v(t) > 0 for positive velocity and v(t) < 0 for negative velocity. Solving the inequality 4 - 2t > 0, we find t < 2, which means the car's velocity is positive when t is less than 2. Similarly, solving 4 - 2t < 0, we find t > 2, indicating that the car's velocity is negative when t is greater than 2.

In this context, a negative velocity means that the car is moving in the opposite direction of the positive x-axis (to the west in this case). It indicates that the car is traveling towards the starting point or moving backward along the straight line.

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The solution to the literal equation is y = x - 2.

To solve inequality in y, we need a number such that the assertion holds if we replace y with that number. Isolating the variable on one side of the inequality and leaving the other terms constant is the first step in resolving the inequality.

From the given information:

4x + 1 = 9 + 4y

To solve for y, we have to switch the sides:

9 + 4y = 4x + 1

Subtract 9 from both sides

9 - 9 + 4y = 4x + 1 - 9

4y = 4x - 8

Divide both sides by 4

\(\dfrac{4y}{4}= \dfrac{4x}{4}-\dfrac{8}{4}\)

y = x - 2

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to factor we must recognize the elements in common

the r exist on both terms, so we can divide by r on each term to factor

The sum of 18.420 and 28.49, rounded to the correct number of significant figures, is 46.91.

To add the numbers 18.420 and 28.49, we align the decimal points and perform the addition. After adding the numbers, we obtain a sum of 46.910. However, we need to round the answer to the correct number of significant figures.

The rule for determining the number of significant figures in addition is to retain the same number of decimal places as the number with the fewest decimal places being added. In this case, 18.420 has three decimal places, while 28.49 has two decimal places. Therefore, we round the sum to two decimal places: 46.910 rounded to two decimal places is 46.91.

Thus, the sum of 18.420 and 28.49, rounded to the correct number of significant figures, is 46.91.

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Answer:

2x - 7y > 10

8 + x > 5

3 < 5

Step-by-step explanation:

The equations are

Ax + By + C < 0 or Ax + By + C > 0

There is no equal in a linear inequality

The first option 2x + 8 = 10y is an equation, so it is wrong. The other 3 are correct!

If Keshawn is 1.45 meters tall. At 12 noon, he measures the length of a tree's shadow to be 15.05 meters. the height of the tree to the nearest hundredth of a meter is 2.02 meters.

To find the height of the tree, we can use the similar triangles method. Let's call the height of the tree "h".

Since Keshawn and the tree are standing in the same spot, the same light source is casting their shadows, so the ratios of their shadow lengths to their heights are equal. This means we can set up the following proportion:

1.45 / h = 15.05 / 10.8

We can solve for "h" by cross-multiplying:

h = 15.05 * 1.45 / 10.8

h = 2.02 meters

Therefore, the height of the tree to the nearest hundredth of a meter is approximately 2.02 meters.

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Answer: 5.13

Step-by-step explanation: