somebody please solve this!!!​

The constant percent rate of change per year 33.5 %. So the correct option is A.

Growth factor is a mathematical concept that represents the amount by which a quantity increases or decreases over a period of time. It is usually expressed as a decimal or a percentage. A growth factor greater than 1 indicates an increase in the quantity, while a growth factor less than 1 indicates a decrease. A growth factor of 1 indicates no change in the quantity.

For example, if the population of a city is growing by 2% per year, the growth factor would be 1.02, since the population is increasing by 2% (0.02) every year. If the population was decreasing by 3% per year, the growth factor would be 0.97, since the population is decreasing by 3% (0.03) every year.

To find the constant percent rate of change per year, we need to rewrite the function D(m) in terms of years, and then find the annual growth factor.

First, we can divide m by 12 to get the time in years:

m/12 = y

Substituting this into the function D(m) gives:

D(m) = 845,000(\(1.013^{m}\)) = 845,000(\(1.013^{12y}\))

Now we have D(y) in terms of the annual growth factor b:

D(y) = 845,000(\(b^{y}\)), where b = 1.013¹²

To find the constant percent rate of change per year, we need to find the value of b-1 as a percent:

(b-1)*100

= (1.013¹² - 1)*100

= 33.5% (rounded to the nearest tenth)

Therefore, the answer is (A) 33.5%.

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Answer:

if it works like the dollar 53p

Answer:

53p

Step-by-step explanation:

£1 = 100p

=> Change = 100p - 47p = 53p

The product of three consecutive positive integers is always divisible by 6.

We can prove this statement using mathematical induction. The statement we want to prove is that the product of three consecutive positive integers is divisible by 6. To do this, we will use the induction hypothesis:

Let P(n) be the statement: The product of three consecutive positive integers starting with n is divisible by 6.

We will prove that P(n) is true for all natural numbers n.

Base Case: Let n = 1. Then the product of the three consecutive positive integers (1, 2, 3) is 6, which is divisible by 6. Therefore, P(1) is true.

Inductive Step: Assume that P(k) is true, where k is any natural number. We will now prove that P(k + 1) is also true.

The three consecutive positive integers starting with k + 1 are k + 1, k + 2, and k + 3. We can then rewrite the product of these three consecutive positive integers as follows:

(k + 1)(k + 2)(k + 3) = k3 + 3k2 + 6k + 6.

Since we assumed that P(k) is true, we know that k3 + 3k2 + 6k is divisible by 6. Therefore, the entire expression k3 + 3k2 + 6k + 6 is also divisible by 6. Since 6 is also added to this expression, we know that the product of three consecutive positive integers starting with k + 1 is divisible by 6. Therefore, P(k + 1) is true.

Since we have proven the base case and the inductive step, we have proven the statement for all natural numbers n. Therefore, the product of three consecutive positive integers is always divisible by 6.

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Answer:

6(1-(-8)= 54

Step-by-step explanation:

Plug negative 8 in for x and solve the equation

1. If the serial number 1207 is a Tuesday, the serial number 1210 would be on Friday.

2. The result of the formula "1:30" is 1 hour and 30 minutes.

3. The formula =DATE(2017,7,2) will return July 2, 2017.

4. To find the difference between two dates listed in years instead of days, use the YEARFRAC function.

5. The statement "You can’t edit conditional rules, but you can delete them and then create new ones" is FALSE regarding the Conditional Formatting Rules Manager.

6. If the actual rent increases to 26,000, both the Actual and Difference conditional formatting graphics will change.

1. By considering the days of the week in order, serial number 1210 would be on Friday, as it follows the pattern of consecutive days.

2. The formula "1:30" represents 1 hour and 30 minutes.

3. The formula =DATE(2017,7,2) specifies the date as July 2, 2017.

4. The function YEARFRAC is used to find the difference between two dates in years, taking into account fractional parts of a year.

5. The Conditional Formatting Rules Manager allows you to create, edit, and delete rules. You can edit conditional rules by selecting them and making the necessary changes.

6. If the actual rent increases to 26,000, both the Actual and Difference conditional formatting graphics will change, as the Difference column is calculated as budget minus actual amount, and any change in the actual rent would affect both values.

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The absolute value of the percent change in the volume of the cylinder is 20%.


When the radius of a right circular cylinder is decreased by 20%, its new radius becomes 0.8 times the original radius (1 - 0.20 = 0.8).

Likewise, when its height is increased by 25%, its new height becomes 1.25 times the original height (1 + 0.25 = 1.25).

The volume of a right circular cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. Let V₁ be the original volume, and V₂ be the new volume after the changes.

V₁ = π(r)²(h) and V₂ = π(0.8r)²(1.25h)

V₂ = π(0.64r²)(1.25h) = 0.8πr²h

Thus, the new volume is 0.8 times the original volume. This represents a 20% decrease in volume (1 - 0.8 = 0.20 or 20%). So, the absolute value of the percent change in the volume of the cylinder is 20%.

In summary, decreasing the radius by 20% and increasing the height by 25% results in a 20% decrease in the volume of the right circular cylinder.

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The declaration made indicates that Mabel left a $15.80 gratuity.

Percent, which is a relative number used to denote hundredths of any amount. Since one percent is equal to one tenth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. percentage.

To find the amount of the tip that Mabel left, we can multiply the bill amount by the tip percentage, which is 20% or 0.2 in decimal form.

The amount of the tip is:

Tip = Bill Amount x Tip Percentage

Tip = $79 x 0.2

Tip = $15.80

Therefore, the tip that Mabel left was $15.80.

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the sampling distribution of the sample means is 0.03

According to the central limit theorem (n>= 30), the sampling distribution of the sample mean is approximately normal with a mean of 4.9 and a standard deviation of 3.

So:

x = standard dev/sample size

= 3 / 100

= 0.03; it is normal due to its large sample size.

Distribution is the technique of promoting and handing over services and products to clients. The term is related to marketing channels that are used to reach customers in special methods and exceptional areas. distribution characteristic, a mathematical expression that describes the chance that a machine will take on a particular value or set of values. The traditional examples are related to games of hazard.

distributing objects is an act of spreading them out similarly. Algebraic distribution method to multiply every one of the phrases inside the parentheses by way of another time period this is outside the parentheses. To distribute a term over several different terms, you multiply each of the alternative phrases by the primary term. the statistical distribution suggests which values are common and uncommon. there are numerous styles of statistical distributions, along with the bell-shaped everyday distribution.

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Answer:

T(t) = f(t) + g(t)

Step-by-step explanation:

The function which represents the total amount of money Henri will have in t years is the function obtained using an addition operation in the two defied functions, f(t) and g(t) ; total amount saved in shoe box plus the total compounded amount in savings account

Total amount of money in t years, T(t) ;

T(t) = 120t + 1,500(1.09)^t

f(t) = 120t

g(t) = 1,500(1.09)^t

Hence,

T(t) = f(t) + g(t)

It is a pictorial representation that shows a logical relations between sets.

The centre portion of the set is the intersection between the two sets. This will represent your experience from the start until this day. ​

The other portion of school starts will represent expectation while for school emds will represents your experience as shown

So, the percentage of data values represented on a box plot that falls between the lower quartile and the upper quartile is 50%.

In a box plot, the lower quartile (Q1) represents the 25th percentile, and the upper quartile (Q3) represents the 75th percentile. The interquartile range (IQR) is the range between the lower quartile and the upper quartile. To determine the percentage of data values that fall between the lower quartile and the upper quartile, we need to consider the IQR.

The IQR represents the middle 50% of the data. Therefore, the percentage of data values between the lower quartile and the upper quartile is 50%. In other words, half of the data values are within the IQR range, while the remaining 50% are outside this range, including the lower 25% below the lower quartile and the upper 25% above the upper quartile.

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The coordinates of the triangle after enlarging it by a scale factor of 1.5 using (4, 4) as the center of enlargement include the following:

Coordinate A' = (-5, 4)

Coordinate B' = (13, -2)

Coordinate C' = (-2, -2)

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate (enlarge) the coordinates of the pre-image of the given triangle by using a scale factor of 1.5 centered at the point (4, 4) by using this mathematical expression:

(x, y)  →  (k(x - a) + a, k(y - b) + b)

For coordinate A, we have;

Coordinate A = (-2, 4)  →  (1.5(-2 - 4) + 4, 1.5(4 - 4) + 4)

Coordinate A' = (-2, 4)  →  (-5, 4)

For coordinate B, we have;

Coordinate B = (-2, 0)  →  (1.5(-2 - 4) + 4, 1.5(0 - 4) + 4)

Coordinate B' = (-2, 0)  →  (13, -2)

For coordinate C, we have;

Coordinate C = (0, 0)  →  (1.5(0 - 4) + 4, 1.5(0 - 4) + 4)

Coordinate C' = (0, 0)  →  (-2, -2)

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The data collection method used in the study investigating the relationship between education status and insomnia was a survey. option (1)

The researchers used a random-digit telephone dialing procedure to select adults living in Tennessee to participate in the study. The participants were asked questions about their education status and insomnia status, and these variables were measured for each participant. The data collected through the survey were then analyzed to determine if there was a relationship between education status and insomnia.

The researchers found that individuals with fewer years of education were more likely to suffer from chronic insomnia. Using a survey as a data collection method is a quick and effective way to gather information from a large number of participants.

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Full Question: Is insomnia related to education status? Researchers at the Universities of Memphis, Alabama at Birmingham, and Tennessee investigated this question in the Journal of Abnormal Psychology (Feb. 2005). Adults living in Tennessee were selected to participate in the study, which used a random-digit telephone dialing procedure for the interview. Two of the many variables measured for each of the 575 study participants were number of years of education and insomnia status (normal sleeper or chronic insomniac). The researchers discovered that the fewer the years of education, the more likely the person was to have chronic insomnia. What is the data collection method?

Each side of cube is 100 cm.

In Maths or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.

Given that,

Volume of cube = 1 cubic meter

We know that,

1 m = 100 cm

Also  volume of cube = \(a^{3}\)

Then,

Volume of cube = 1000000 cm

                   \(a^{3}\)  = \(100^{3}\)

                   a = 100 cm

Hence, Each side of cube is 100 cm.

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Answer: Parallel

Step-by-step explanation:

The solution after integration is  for y(x) is:\(y(x) = (1/4) x^{(-3)} x^5 - (1/3) e^{(3x)} + (1/3) e^(6)\)

Finding the integral, or total value, of a given function, is the subject of the area of mathematics known as integration. Finding a function's rate of change entails the differentiation procedure in reverse.

To handle issues like determining the area under a curve, figuring out the volumes of solids in revolution, resolving differential equations, and simulating physical processes, integration is employed in many branches of mathematics, science, and engineering.

Antiderivatives and numerical integration are the two basic methods for determining a function's integral. In contrast to numerical integration, which uses mathematical techniques to approximation the integral, antiderivatives entail finding a function whose derivative is identical to the original function.

To find the solution for y(x) given the differential equation X(dy/dx) + 3y = 2x^5, we can use the method of integrating factor. The integrating factor for this equation is given by e^(3x), so we can multiply both sides of the equation by this factor:

\(e^{(3x)} X \frac{dy}{dx} + 3e^{(3x)} y = 2x^5 e^{(3x)}\)

Integrating both sides with respect to x, we get:

\(e^{(3x)} y = (1/3) x^6 + C\)

where C is the constant of integration. To find the value of C, we use the initial condition y(2) = 1:

\((1/3) e^{(6)} + C = 1\)

Solving for C, we get:

\(C = 1 - (1/3) e^{(6)}\)

Finally, substituting C back into the equation for y, we get:

\(y(x) = (1/3) e^{(3x)} x^6 - (1/3) e^{(3x)} + (1/3) e^{(6)}\)

So the general solution for y(x) is:

\(y(x) = (1/4) x^{(-3)} x^5 - (1/3) e^{(3x)} + (1/3) e^{(6)}\)

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Answer:

multiply 10 x 17

multiply 24 x 7

if they are the same answer, it is a proper proportion.

Step-by-step explanation:

Answer:

New area is 1/9th the original area

Step-by-step explanation:

Original area   =   L x W

now reduce the side lengths

   1/3 L   x    1/3 W

   1/3 * 1/3   * L x W

       1/9   L x W       <===== the new area is 1/9th the original area

Answer:

21,265.65 in³

Step-by-step explanation:

Formula: Volume (V) = πr²h

V = πr²h

Slotting in values,

V = 3.14 x 1.5² x 3.01

V = 3.14 x 2.25 x 3.01

V = 21.26565 in³

But that is for 1 cupcake

To fill a thousand of them, you will need to multiply your answer by the number of cupcakes in total.

Therefore,

Answer = V x 1000

Answer = 21.26565 x 1000

Answer = 21,265.65 in³

The answer is already rounded to the nearest hundredth,

So they would need 21,265.65 cubic inches (in³) to fill 1000 cupcakes.

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The ratio of flutes to tubas in a middle school band is 5 to 2, which represents the number of flutes for every 2 tubas in the band. This ratio can be written in three different ways to express the same relationship between the number of flutes and tubas:

5:2 - This is the fraction form of the ratio, where the number of flutes is written before the colon and the number of tubas is written after the colon.

5/2 - This is the fraction form of the ratio, where the numerator represents the number of flutes and the denominator represents the number of tubas.

2.5 flutes per tuba - This is the rate form of the ratio, where the number of flutes is written as the number of flutes per tuba. This way of expressing the ratio is commonly used to show the average number of flutes for every 1 tuba in the band.

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Step-by-step explanation:

IF  x-4   is a factor, then putting in x = + 4    will make the polynomial = 0

5 ( 4^3) - 20 (4^2) - 5(4)  + 20   =   0    Yes...it is a factor

\(x - 4 = 0 \\ x = 4 \\ \)

substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function

\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)

so (x-4) is a factor for the function

Answer:

3.5 cm

Step-by-step explanation:

Perimeter of rectangle = 2 × (w + h)

w = width

h = height

We have: 2 x (w + 6) = 19

w + 6 = 19 : 2 = 9.5

w = 9.5 - 6 = 3.5 (cm)

All three options are relevant questions to consider when effectively using statistics in a speech.


1. "Are my numbers from reliable sources?" - It is crucial to use reliable and accurate data sources to ensure that your speech presents trustworthy information.
2. "Do I use statistics to quantify ideas?" - Using statistics can help support your arguments and make your points more concrete, making your speech more persuasive and engaging.
3. "Do I relate the statistics to the audience?" - Relating statistics to the audience helps make the data more relevant and understandable, allowing listeners to better grasp the importance of the information.

To effectively use statistics in a speech, you should ensure that you use reliable sources, use statistics to quantify your ideas, and relate the statistics to your audience.

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Step-by-step explanation:

I have included a drawing of the triangle.

we can use Pythagoreans theorem.

a^2+b^2=c^2

So,

(4x)^2+(3x)^2=75^2

16x^2+9x^2= 5,625

we can add like terms.

25x^2 = 5,625

25 25

x^2 = 225

Square root both sides.

x = 15

so, leg of 4x is

4(15)= 60 m

leg of 3x

3(15)= 45 m

Hope this helps!

The five-number summary, as shown in the MINITAB output, includes the minimum value, Q1 (the first quartile), the median (Q2), Q3 (the third quartile), and the maximum value.

To calculate the interquartile range (IQR), we need to find the difference between Q3 and Q1. In this case, Q1 is 6 and Q3 is 11, so the IQR is 5.
To determine if there are any outliers in the data set, we can use the rule that any data points that are more than 1.5 times the IQR below Q1 or above Q3 are considered outliers. In this case, the lower limit would be 6 - (1.5 x 5) = -1.5 and the upper limit would be 11 + (1.5 x 5) = 18.5. Looking at the data in column 1, we can see that there are no values that fall outside of these limits, so there are no outliers in this set of data.
Using statistics software to calculate the five-number summary, IQR, and identify outliers is a quick and efficient way to analyze data. This information can provide valuable insights into the distribution of the data and help identify any potential issues or trends that need to be addressed.

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