Bethenny buys a house.
3 years later, the house is worth 4% less than she paid for it.
The house is now worth £203520.
What was the original price of the house?

Answer: b maybe

Step-by-step explanation:

Answer:

D.) x=5, y=2

Step-by-step explanation:

Triangle ABC

Hypotenuse, 2(5) + 3 = 13

Base,4(2)+2= 10

Triangle DEF

Hypotenuse, 3(5) - 2 = 13

Base, 9(2) - 8 = 10

Based on the given hypotheses and information, a one-tailed test should be used.

The alternative hypothesis (H_A: µ > 91) suggests a directional difference, indicating that we are interested in determining if the population mean (µ) is greater than 91. Since we have a specific direction specified in the alternative hypothesis, a one-tailed test is appropriate.

In hypothesis testing, a one-tailed test is used when the alternative hypothesis specifies a directional difference, such as greater than (>) or less than (<). In this case, the alternative hypothesis (H_A: µ > 91) states that the population mean (µ) is greater than 91.

Therefore, we are only interested in testing if the sample evidence supports this specific direction. The given sample mean (X = 88), standard deviation (s = 12), and sample size (n = 15) provide the necessary information for conducting the hypothesis test.

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Understanding the history of credit provides valuable insights that can shape our perspective on credit cards and other forms of debt. History highlights the evolution and purpose of credit, leading to a more informed approach to personal finance.

**Exploration of the history of credit** reveals that it has played a crucial role in economic development throughout civilizations. From ancient societies engaging in barter systems to the introduction of coins and paper money, credit emerged as a means to facilitate trade and commerce. Over time, lending practices evolved, giving rise to concepts like interest, collateral, and promissory notes.

By studying this history, we can recognize that credit is a powerful tool when used responsibly. It allows individuals and businesses to access funds, invest in opportunities, and manage financial needs. However, it also highlights the potential pitfalls and risks associated with excessive debt.

Understanding the historical context enables us to approach credit cards and other forms of debt with caution and mindfulness. We realize that **credit card debt** is essentially borrowing money that needs to be repaid, often with interest. It prompts us to consider factors such as interest rates, repayment terms, and fees associated with credit cards. This awareness empowers us to make informed decisions, comparing different options, and selecting the most suitable financial products.

Furthermore, historical knowledge of credit reminds us to prioritize responsible financial practices. It encourages us to budget effectively, live within our means, and avoid accumulating excessive debt. Recognizing the potential consequences of mismanaging credit inspires us to develop strategies for debt reduction, such as making regular payments, minimizing interest charges, and seeking professional advice when necessary.

In conclusion, understanding the history of credit influences our perspective on credit cards and other forms of debt. It reminds us of the significance of responsible financial management, enabling us to approach credit with a balanced mindset. By considering historical context, we can make informed decisions, select appropriate financial products, and adopt strategies to maintain a healthy financial position.

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a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Answer:  Part A:

To represent the cost per night x and cost per meal y in a system of equations, we can use the information provided in the question:

First Special:

3x + 4y = 233

Second Special:

3x + 3y = 226.50

Where x is the cost per night and y is the cost per meal.

Part B:

To find the cost per night and the cost per meal, we can use the information provided in the question and system of equations.

We can solve this system of equations using several methods: substitution or elimination method.

One common method to find the solution is by substitution method, where we find the value of x in terms of y from one of the equations and then substitute it into the other equation to solve for y.

x = (233 - 4y)/3

then substitute it into the other equation:

3(233 - 4y) + 3y = 226.50

now solve for y:

699 - 12y + 3y = 226.50

-9y = -472.50

y = 52.50

and we can substitute it back into the first equation:

3x + 4(52.50) = 233

3x = 80.50

x = 26.83

So the cost per night is $26.83 and the cost per meal is $52.50

Step-by-step explanation:

Answer:

40 yard

Step-by-step explanation:

Answer:

120 feet

Step-by-step explanation:

8 yards in 2 seconds.

so we need to change the unit of yards into feet bcz all units should be same

now 1 yard=3 feet therefore 8 yards=24 feet

if he runs in 2 seconds =24 feet

   he runs in 1 second =24/2 feet=12 feet

   he runs in 10 seconds=12*10=120 feet

hope it will help.

Answer:

1,450.36 is your answer

Answer:

102

Step-by-step explanation:

x = 180 - (4x - 2) - 78

x = 180 - 4x + 2 -78

5x = 180 + 2 - 78

5x = 104

x = \(20\frac{4}{5}\).

So, angle UTW is 4 *  \(20\frac{4}{5}\) - 2 +  \(20\frac{4}{5}\) = 5 *  \(20\frac{4}{5}\) - 2 = 104 - 2 = 102

A dilation or combination of stiff movements and dilations constitutes a similarity transformation.

Similar figures don't always have to have the same size but share the same form.

A transition called a dilation keeps shape but not size. So a dilatation is a motion that is not rigid. A dilation or combination of stiff movements and dilations constitutes a similarity transformation. If and only if a similarity transformation translates one of the geometric figures onto the other, then two figures are said to be similar. Similar figures don't always have to have the same size but share the same form.

Similarity transformations include translation, reflection, rotation, and dilation. Rotation, reflection, and translation retain both size and form since they are rigid movements, whereas dilation just makes sure that the shape is preserved.

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Answer:

for every x the y moves -4

Step-by-step explanation:

Answer:

167

Step-by-step explanation:

srry for nabbing question i need points :(

Answer:

You have $167 left.

Step-by-step explanation:

342 - 175 (prices of items added together) = 167

A chart that is recommended as an alternative to a pie chart is a - stacked column chart. A chart that is recommended as an alternative to a pie chart is a stacked column chart. Question 24: A data visualization tool that updates in real time and gives multiple outputs is called - a data dashboard.

A data visualization tool that updates in real time and gives multiple outputs is called a data dashboard. What is a scatter plot? A scatter plot is a type of diagram used to display two variables on a two-dimensional plot. The positioning of data points on a scatter plot graphically depicts the correlation between the two variables. To construct a scatter plot, two variables (independent and dependent variables) are plotted on a graph.

The independent variable is plotted on the horizontal (x) axis and the dependent variable is plotted on the vertical (y) axis. A point is plotted for each pair of values, and the pattern of the points suggests a relationship between the two variables.A scatter plot is useful in displaying the correlation between two variables. The correlation is positive if the points are in an upward direction. The correlation is negative if the points are in a downward direction. A lack of correlation, or random points, is suggested by a scatter plot with no apparent pattern.

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This is the same as g(x) which, therefore the functions are inverse of each other.

What does a math inverse mean?

for any point (x, y), that appears in one function, the point (y, x) must appear in the other function. for any point (x, y), that doesn't appear in one function, the point (y, x) must not appear in the other function.  

so if you find any point that doesn't meet the above rules, you can prove that the functions are not inverses of each other.  

to prove that they are inverses of each other, you need to check all points in the functions, and there is an infinity of them, so instead, you can write f(x) like this:  

y = 3x - 5  

solve for x:  

y + 5 = 3x  

x = (y + 5) / 3  

swap x and y:  

y = (x + 5) / 3  

this is the same as g(x) which, therefore the functions are inverse of each other.

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Answer:

She colored 30 yellow place value disks and 50 disks are left to color.

Step-by-step explanation:

Let total number of disks be x.

It is given that, she colored 2/6 of the disks red. She colored 1/4 of the disks yellow.

\(\text{Red disks}=\dfrac{2}{6}x\)

\(\text{Yellow disks}=\dfrac{1}{4}x\)

She colored 40 red place value disks.

\(\dfrac{2}{6}x=40\)

\(\dfrac{1}{3}x=40\)

\(x=120\)

It means total number of disks is 120.

\(\text{Yellow disks}=\dfrac{1}{4}x=\dfrac{1}{4}(120)=30\)

So, she colored 30 yellow place value disks.

Remaining disks = Total disks - Red disks - Yellow disks

               \(=120-30-40\)

               \(=50\)

Therefore, 50 disks are left to color.

Answer:

Option F

Step-by-step explanation:

F). x + y = 3 -------(1)

    x - 3y = -2 --------(2)

    Equation (1) minus equation (2)

    (x + y) - (x - 3y) = 3 - (-2)

    4y = 5

    y = 1.25

    Hence, y is positive.

G). x + y = 3 --------(1)

    x + y = -2 --------(2)

    Both the equations represent parallel lines.

    There are no solutions of the given equations.

H). x - 3y = -2 -------(1)

     x + y = -2 -------(2)

    Equation (2) minus equation (1)

    (x + y) - (x - 3y) = -2 - (-2)

     4y = 0

     y = 0

    Since, 0 is neither positive nor negative, y will be neither positive nor negative.

J). x + y = 3 -------(1)

    x - y = 3 --------(2)

    Equation (1) - Equation (2)

    (x + y) - (x - y) = 3 - 3

    2y = 0

    Hence, y is neither negative nor positive.  

    Therefore, Option F is the answer.

The correct answer is, P(X > 18) is the same as P(X < 18). Option b is correct. The probability P(X > 18) is related to P(X < 18) in such a way that: P(X > 18) is the same as 1 − P(X < 18).

Explanation:

The mean length of a certain product X is μ = 18 inches.

As we know that the length of a certain product X is normally distributed.

So, we can conclude that: Z = (X - μ) / σ, where Z is the standard normal random variable.

Let's find the probability of X > 18 using the standard normal distribution table:

P(X > 18) = P(Z > (18 - μ) / σ)P(Z > (18 - 18) / σ) = P(Z > 0) = 0.5

Therefore, P(X > 18) = 0.5

Using the complement rule, the probability of X < 18 can be obtained:

P(X < 18) = 1 - P(X > 18)P(X < 18) = 1 - 0.5P(X < 18) = 0.5

Therefore, the probability P(X > 18) is the same as P(X < 18).

Hence, the correct answer is, P(X > 18) is the same as P(X < 18). Option b is correct.

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The rectangular coordinates of the point(s) of the intersection of the polar curves r=11sin(2θ) and r=11sin(θ) can be found by converting the polar equations to rectangular form.

To find the rectangular coordinates, we can substitute the polar coordinates (r, θ) into the equations and convert them to rectangular coordinates (x, y). By applying trigonometric identities, we can simplify the equations and solve for x and y.

By substituting r=11sin(2θ) and r=11sin(θ) into the x and y equations, we can obtain the corresponding rectangular coordinates for each value of θ that satisfies both equations. These points represent the intersection of the two polar curves.

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The angle of depression is 35 degree in the right angle triangle if the angle BAC is 55 degree.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have shown a right-angle triangle in the picture.

In the right angle triangle, ABC

The angle BAC = 55 degree

Angle BAA' = 90 degree

In the figure, the angle of depression = CAA'

= BAA' - BAC

= 90 - 55

= 35 degree

Thus, the angle of depression is 35 degree in the right angle triangle if the angle BAC is 55 degree.

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The square root of the given numbers is a 6.5,Thus option A is a correct.

According to the statement

we have to find the value of the square root.

So, For this purpose, we know that the

Square root is a number that when multiplied by itself equals a specified number.

From the given information:

The given number is 43 and we have to find the square root of the number.

Then

√43

√43 = 6.55

Here the value becomes 6.55

And according to the tens rule the value of the square root becomes the 6.5.

Then the square root of the given number with the tens rule is 6.5.

So, The square root of the given numbers is a 6.5,Thus option A is a correct.

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Answer:

C

Step-by-step explanation:

Area = length times width

a = 23 x 12

a = 276 \(ft^{2}\)

Helping in the name of Jesus.

The area of a rectangle, including a rectangular parking space, is calculated by multiplying its length by its width. The area of the specified parking space is 276 square feet. Therefore, the correct option is option (C)

The subject of this question is Mathematics, specifically dealing with the area of geometric shapes. In this case, we are asked to find the area of a rectangular parking space with a length of 23 feet and a width of 12 feet.

The area of a rectangle is calculated by multiplying the length by the width. Using the dimensions provided in the question, the calculation would be:

Length * Width = Area
23ft * 12ft = 276ft2

So, the correct answer is C: 276ft2.

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The standard equation of a circle is expressed as:

x² + y² + 2gx + 2fy + c = 0

In which:

The given equation of circle is:

x² + y²  – 2x – 8 = 0

Find its centre.

2gx = -2x

2g = -2

g = -1

And, 2fy = 0

f = 0

Thus,

Centre = (-(-1), 0) = (1, 0)

This demonstrates that the circle's centre is on the x-axis.

Now,

r = radius = √g²+f²-C

radius = √1²+0²-(-8)

radius =√9 = 3 units

Thus, radius of circle is found as 3 units.

For the given circle x² + y² = 9,

r² = 9

r = 3 units

As a result, this circle's radius matches that of the circle with equation:

x² + y² = 9.

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Answer: F. n = s/180 + 2

Step-by-step explanation:

         To find the equation that solves for n, we will isolate the n variable.

Given:

     S = (n - 2) x 180

Divide both sides of the equation by 180:

     \(\frac{S}{180}\) = n - 2

Add 2 to both sides of the equation:

     \(\frac{S}{180}\) + 2 = n

Reflexive property:

    n = \(\frac{S}{180}\) + 2

                   F. n = s/180 + 2

Answer:

0.82

Step-by-step explanation:

Answer:

Exact form: 78√2 - 17√3 / 54

Decimal form: 1.49747766

Step-by-step explanation:

Rationalize and simplify the expression.

Considering the definition of probability, the probability that the smoke will be detected by either a or b or both is 99%.

Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.

The union of events AUB is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs.

The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:

P(A∪B)= P(A) + P(B) -P(A∩B)

where the intersection of events A∩B is the event formed by all the elements that are, at the same time, from A and B. That is, the event A∩B is verified when A and B occur simultaneously.

In first place, let's define the following events:

Then you know:

Considering the definition of union of eventes, the probability that the smoke will be detected by either a or b or both is calculated as:

P(A∪B)= P(A) + P(B) -P(A∩B)

P(A∪B)= 0.95 + 0.98 -0.94

P(A∪B)= 0.99= 99%

Finally, the probability that the smoke will be detected by either a or b or both is 99%.

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27. v = 56

28. a = 9

29. m = 15

30. m = -10

The equation is: G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the graph, we see that:

y-intercept = 15 gallons

Now, the slope is gotten from the formula:

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (10 - 5)/(4 - 8)

Slope = -⁵/₄

Thus, equation is:

G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

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Applying combinatorics with repetition, and the condition of at least one type of milk, the customer has 84 different ways to buy 10 cartons of milk. Below I describe the steps for the calculation.

Definir n,fr,r,fn,fnr,CRnr Como Real

fr <- 1

fn <- 1

fnr <- 1

n <- 4 // types of milk

r <- 6 // combinatorial elements (with repetition)

Para f<-r Hasta 1 Con Paso -1 Hacer

 fr <- fr*f

FinPara

Para f<-n-1 Hasta 1 Con Paso -1 Hacer

 fn <- fn*f

FinPara

Para f<-n+r-1 Hasta 1 Con Paso -1 Hacer

 fnr <- fnr*f

FinPara

CRnr <- fnr/(fr*fn)

Escribir '**************'

Escribir 'n+r-1! = ',fnr

Escribir 'r! = ',fr

Escribir '(n-1)! = ',fn

Escribir 'CRnr = ',CRnr

FinAlgoritmo

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