Consider what you know about the sampling distribution of the sample proportion. This sampling distribution:

a. will become more variable as the sample size increases.
b. will be Normal in shape only if the sample size is at least 100.
c. will have a center equal to the population proportion, or p.
d. has a shape that is skewed to the right, regardless of sample size.
e. is a collection of the parameters of all possible samples of a particular size taken from a particular populatio

Answers

Answer 1

From the sampling distribution we know:

a. will become more variable as the sample size increases.

What is sampling distribution?

A sampling distribution is the probability distribution of a statistic that was acquired from more samples taken from a certain population. The distribution of frequencies for a variety of potential outcomes that could happen for a population statistic makes up the sampling distribution of a specific population.

When it comes to the spread of all sample proportions, theory predicts behaviour far more accurately than just stating that larger samples have a smaller spread. In actuality, the sample size, n, and the standard deviation of each sample proportion.

Thus, option (a) correctly describe about sampling distribution of the sample proportion.

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Related Questions

8th grade math problems I need help I will mark brainliest + 50 points

Answers

Step-by-step explanation:

just a question should I help you with all of them?

In a survey of 2000 people who owned a certain type of​ car, 1300 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

65%

Step-by-step explanation:

65% of 2,000 = 1300

........

Answer:

Step-by-step explanation:

Would buy again customers are people satisfied.

Therefore we have

satisfied overall people surveyed

In numbers, this looks like

1300/2000

Simplifying we get

13/20

If you use a calculator then you can input this equation. However, if you want to be big-brained you can use simple math to get the decimal answer fast.

13/20 = (13•5)/(20•5) = 65/100 = 0.65

But if you need a percent value then you are not done!

0.65 is not a percent. To get a percent you multiply your fraction or decimal by 100. Therefore we get 0.65•100 = 65%

65% of people would buy the car again. Therefore 65% of people are satisfied with that car.

Add -13[tex]\frac{1}{4}[/tex]+ 4[tex]\frac{3}{4}[/tex] Write your answer as a mixed number in simplest form.

Answers

Answer:

Step-by-step explanation:

3 1/4

I need help please help

Answers

Answer:

4t + 109.99 = 347.95

Step-by-step explanation:

They bought 4 tickets so that is how we got 4t

they spent altogether $109.99 to make the total

347.95

Bonus : 1 ticket is 59.49

how many solutions does the equation 4+3−1=2(2+2)−2 have?

Answers

Answer:

1

Step-by-step explanation:

This equation only has 1 solution

any p/q combination other than 50%/50% will result in a higher sample size because p times q is in the numerator of the formula. true false

Answers

Using the formula of the combination and for the values of 'p' and 'q'. The statement is false.

What do you mean by combination?

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.

What is the formula for combination?

The formula is:

[tex]C(p,q) = \frac{p!}{q!(p-q)!}[/tex]

p=4 and put q=0 to 4

C(4,2) > C(4,0),C(4,1),C(4,3),C(4,4)

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15 = 3t
Joe’s car has a 15 gallon fuel tank and an average fuel economy of 20 miles per gallon. He is planning a road trip where he’ll be driving on the freeway at 60 miles per hour for many hours. The equation above represents the time t (in hours) that it will take for his tank to be empty. What does the 3 represents?

A 3 is the product of his car’s fuel economy and the number of hours

B 3 is the ratio of his speed and his car’s fuel economy.

C 3 is the product of his car’s fuel tank capacity and his speed

D 3 is the ratio of his car’s fuel tank capacity and his fuel economy.

Answers

B) 3 is the ratio of his speed and his car's fuel economy.

What is speed?

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is traveling along a path. In other words, velocity is a vector, whereas speed is a scalar value.

Calculation:

[tex]\frac{speed}{fuel economy} =\frac{\frac{60 miles}{hour} }{\frac{20 miles}{gallon} } \\\frac{speed}{fuel economy}={\frac{60 miles}{hour} .{\frac{gallon}{20 miles} }\\[/tex]

[tex]\frac{speed}{fuel economy}=\frac{3 gallons}{hour}[/tex]

Inserting this 3 in the given equation 15 = 3t and including each term, we see the units cancel out:

[tex]15 gallons = \frac{3 gallons}{hour}.t(hours)[/tex]

3 is the ratio of his speed and his car's fuel economy.

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function rule to find f(7).

Answers

Answer: 196

Step-by-step explanation:

[tex]f(7)=(-7-7)^2 =196[/tex]

i need help to solve this!!​

Answers

Answer:

Part A: A

Part B: 1 is the y-intercept and is 0 the horizontal asymptote

Step-by-step explanation:

Part A: Answer is A
Part B: y intercept would be y=0 and the Horizontal Asymptote would be y=0.

For a family living in Southern Mississippi, the probability of owning a dog is 0.4, the
probability of owning a cat is 0.5, and the probability of owning both a cat and a dog is
0.12.
What is the probability that a family living in Southern Mississippi owns a cat or a dog?

Answers

Hence, the probability that a family living in Southern Mississippi owns a cat or a dog is [tex]0.78[/tex].

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen.

The meaning of probability is basically the extent to which something is likely to happen.

Here given that,

For a family living in Southern Mississippi, the probability of owning a dog is [tex]0.4[/tex], the probability of owning a cat is [tex]0.5[/tex], and the probability of owning both a cat and a dog is [tex]0.12[/tex].

Probability od owing a dog is

[tex]P(A)=0.4[/tex]

Probability of owing a cat is

[tex]P(B)=0.5[/tex]

Probability pf owing both a cat and a dog is

[tex]P(A[/tex]∩[tex]B)=0.12[/tex]

As we know,

[tex]P(A[/tex]∪[tex]B)=P(A)+P(B)-P(A[/tex]∩[tex]B)[/tex]

[tex]P(A[/tex]∪[tex]B)=0.4+0.5-0.12[/tex]

[tex]P(A[/tex]∪[tex]B)=0.78[/tex]

Hence, the probability that a family living in Southern Mississippi owns a cat or a dog is [tex]0.78[/tex].

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Find the slope of the line that passes through \left(10,8\right)(10,8) and \left(1,9\right)(1,9).

Answers

-2/3,  is the slope of the line that passes.

What is slope?

A line's steepness and direction are measured by the line's slope.

Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two different points on a line can be used to calculate the slope of any line.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively.

Two locations located on a straight line can be used to determine a line's slope. We can use the slope of line formula if we know the two spots' coordinates. These two points' coordinates should be-

P1 = (x1, y1) and P2 = (x2, y2)

According to our question-

The slope equation is [y2-y1/x2-x1]. For substitution and solution, use the provided points.

12-8/4-10

4/-6

-2/3

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(-2x + 9) + ( 3x - 4)

Answers

X+5 all u do is collect like terms and calculate

the question is in the image

Answers

Answer:

1. The negative flips the parabola upside down so there is a maximum

2. The 1/2 means there is a vertical shrink

3. -3 means the graph moves to the RIGHT 3 units (X sign always changes)

4. +12 means the graph shifts up 12 units

Step-by-step explanation:

First, identify the parent function. Note that the given function is a quadratic in Vertex Form, so the parent function would simply be a quadratic:

g(x)=x^2 is the parent function. This is the most basic parabola, and transformations are added to alter the function’s lateral and vertical location and width or length.

Now that we have the parent function, let’s address the transformations done to it. Remember, when identifying transformations, remover to follow PEMDAS; act like you are inputting a value in for x and following PEMDAS to observe how the function is altered.

• Lateral shift 3 units to the right

*Remember, horizontal translations have opposite signs, so even though x is subtracted by 3, it will actually move to the right towards the positive direction.

•Reflect over the x-axis

•Shrink by a factor of 1/2

*This will produce a wide parabola

• Vertical shift up 12 units

Jody has 3 red marbles, 6 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles?

Answers

Answer: The ratio of red marbles to blue marbles is 3:6. This can be written as a fraction as 3/6, which simplifies to 1/2.

Step-by-step explanation:

To find the ratio of two quantities, you can divide the number of one type of item by the number of another type of item. In this case, the ratio of red marbles to blue marbles is 3 marbles / 6 marbles, which simplifies to 1/2.

It's important to note that a ratio is not the same thing as a percentage or a fraction. A ratio is a comparison of two quantities, while a percentage is a measure of a quantity relative to the total amount and a fraction is a division of one number by another.

Find the total surface area of this triangular prism 13cm 5cm 12cm 9cm 15cm 20cm.

Answers

The surface area of the triangular prism is 924 cm².

What is the triangular prism?

When a prism has three rectangular sides and two triangular bases, the prism is said to be triangular. A pentahedron, that is.

Volume is calculated using the formula volume = 0.5 * b * h * length, where b is the triangle's base length, h is its height, and length is the prism length.

                                         Area is defined as length * (a + b + c) + (2 * base area), where a, b, and c are the triangle's sides and base area is the triangle's base area.

The surface area is equal to the area of the two triangles + area of the three rectangles.

Area of two triangles:

12 × (9+5) × 1/2

= 84

84(2) = 168

Area of the three rectangles:

15 × 20 + 13 × 20 + 14 × 20

= 840

840 + 84

The surface area of the triangular prism is 924 cm².

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Quanta Indutrie old $325,000 of conumer electronic during July under a nine-month warranty. The cot to repair defect under the warranty i etimated at 4. 5% o-
the ale price. On November 11, a cutomer wa given $220 cah under term of the warranty

Answers

The journal entry for the July 31 sales and November 11 cash payment is shown below .

In the question ,

it is given that ,

the amount for which Qantas Industries sold electronics during July under a nine-month warranty is = $325000  ,

cost to repair defects is = 4.5 percent of sales price .

So , the cost to repair is = 4.5% × 325000 = $14625 .

So , the journal entry for July 31 is

Warranty expense    Debit   14625

Estimated warranty liability/warranty payable    Credit   14625

and the journal entry for November 11 is :

Estimated warranty liability /warranty payable    Debit    220 ,

                                                                Cash       Credit   220  .

Therefore , the Journal entry is shown above .

The given question is incomplete , the complete question is

Qantas Industries sold $325,000 of consumer electronics during July under a nine-month warranty. The cost to repair defects under the warranty is estimated at 4.5% of the sales price. On November 11, a customer was given $220 cash under terms of the warranty. Provide the journal entry for the estimated warranty expense on July 31 for July sales. Provide the journal entry for the November 11 cash payment .

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Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the origin.

Use the polygon tool to graph the dilated figure.

The horizontal axis goes from -10.8 to 10.8 with ticks spaced every 1 unit(s).
The vertical axis goes from -10.8 to 10.8 with ticks spaced every 1 unit(s).
Polygon with coordinates: (-4, 4), (6, 8), (2, 2), (-4, 4).

Answers

The vertices of the dilated triangle are (-2, 2), (3, 4), and (1, 1).

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

The coordinates of the triangle are (-4, 4), (6, 8), and (2, 2).

The scale factor of the triangle is 1/2 centered at the origin. Then the coordinate of the triangle will be given as,

⇒ (-4/2, 4/2), (6/2, 8/2), (2/2, 2/2)

⇒ (-2, 2), (3, 4), (1, 1)

The vertices of the dilated triangle are (-2, 2), (3, 4), and (1, 1).

The image of the triangle and dilated triangle is given below.

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Answer: The other answer is incorrect, the graph below shows the correct answer.

Coordinates of each point

A: (3,4)

B: (-2,2)

C: (1,1)

I know this is late, but I wanted to help those in the future who needed help with the question. Good Luck <3

Calculate the size of the following marked angles:
v, w, x and y.​

Answers

The measures of the angles are v = 80°, y = 100°, w = 45°, and x = 55°.

What is a cyclic quadrilateral?

An inscribed four-sided polygon in a circle is known as a cyclic quadrilateral. With the specified side lengths, it has the largest area feasible.

Given the quadrilateral inside a circle.

The angle v is given by:

45° +v + 55°=180°

v + 100° = 180°

v = 180° - 100°

v = 80°

Since the quadrilateral is cyclic, the sum of its opposite angle is 180°.

Therefore,

y + v = 180°

y + 80° = 180°

y = 100°

Using the property of cyclic quadrilateral, it follows:

w = 45° and x = 55°

Hence, the measures of the angles are v = 80°, y = 100°, w = 45°, and x = 55°.

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what is the domain and range of The function f : {4, 6, 8} → {2, 3} is defined as {(4, 2), (6, 2), (8, 2)}.

Answers

The definition of the domain of the function f: {4, 6, 8} ⇒{2, 3} over  {(4, 2), (6, 2), (8, 2)} is given as {4,6,8}, while the range is given as 2.

What is function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Four main categories can be used to classify different sorts of functions. One to one function, many to one function, onto function, one to one and into function—all based on the element. A relation between a domain and range is called a function when each value in the domain only has one value in the range.

Here,

function f : {4, 6, 8} → {2, 3} is defined as {(4, 2), (6, 2), (8, 2)},

domain={4,6,8}

range={2}

The domain of function f : {4, 6, 8} → {2, 3} is defined as {(4, 2), (6, 2), (8, 2)} will be {4,6,8} and range will be {2}.

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noah have the delivery person $20 to pay for his meal, including a tip. what percentage of the price before tax did he tip the delivery person

Answers

To find the percentage of the price before tax that Noah tipped the delivery person, you need to know the price of his meal before tax and the amount of the tip that he gave. Let's say that the price of Noah's meal before tax was $18, and he gave the delivery person a $2 tip.

In this case, the percentage of the price before tax that Noah tipped the delivery person is $2 / $18 = 11.11%. This means that he tipped the delivery person 11.11% of the price of his meal before tax.

Si en un Salón hay 25 estudiantes de los cuales 12 son varones ¿Cual es la razón de varones a hembras?​

Answers

La razón que buscamos para los números de estudiantes es:

12:13

¿Cual es la razón de varones a hembras?

Sabemos que si de un numero N podemos separar 2 grupos, de tal forma que hay a elementos del grupo A y b elementos del grupo B, la razon de el grupo A al grupo B es a:b

En este caso sabemos que hay 25 estudiantes y hay 12 varones, entonces hay:

25 - 12 = 13 "hembras"

Entonces la razon que buscamos es:

12:13

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Help with this please

Answers

The first set represents a function but the second case does not represent a function.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The value of 'y' for each value of 'x' must be distinct. Then the relation is a function. Otherwise, it will not be a function.

A)  {(1, 0), (-2, 0)}

In the above relation, for each value of 'x' the value of 'y' is the same. Then the relation is function.

B)  {(-2, 3), (1, 4), (3, 5), (-2, 6), (5, 7)}

In the above relation, at x = -2, the number of values of 'y' is 2. then the relation is not a function

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why does the normal distribution have an importance in statistics of wether or not iut appears in nature

Answers

The normal distribution have an importance in statistics of whether or not out appears in nature, because it fits several natural phenomena.

For exa. measurement error, heights, IQ scores, and physical activity measures all follow the normal distribution.

In this question we need to describe why does the normal distribution have an importance in statistics of whether or not out appears in nature.

We know that if we plot the probability distribution and it forms a bell-shaped curve. If the mean, mode, and median of the sample are equal then the variable has normal distribution.

A normal distribution is dependent on two parameters of the data set: mean and the standard deviation of the sample.

This characteristic of the normal distribution makes it extremely simple.

Also, the normal distribution is important because of the Central limit theorem.

It makes math easy - like calculating moments, correlations between variables, and other calculations that are domain specific.

So, the normal distribution have an importance in statistics of whether or not out appears in nature.

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Solve for q.
q=
13
Blank 1:
24
q

Answers

Answer: 35

Step-by-step explanation:

Using the trapezoid midsegment theorem,

[tex]\frac{13+q}{2}=24\\\\13+q=48\\\\q=35[/tex]

q =35 Hope this helps :)

1.25/0.06 = z−6 /2.4 help quickly

Answers

Answer:

z = 56

Step-by-step explanation:

I'll assume 1.25/0.06 = z−6 /2.4 is actuallY:  1.25/0.06 = (z−6)/2.4  (and not 1.25/0.06 = z−(6 /2.4)).

1.25/0.06 = (z−6)/2.4

1.25*(2.4) = (z−6)*(0.06)  [Multiply both sides by 0.06 and then 2.4]

  3 =  0.06z - 0.36

3.36 =  0.06z

z = (3.36/0.06)

z = 56

There are 16 triangles and 4 squares. What is the simplest ratio of squares to triangles?

Answers

Answer:

4:1

Step-by-step explanation:

find the gcf: 4

divide by the gcf: 16/4 and 4/4

A daycare center has a weekly revenue of $21,000. The daycare director has created a monthly budget using the following percentages for expenses:


Percent
Employee Wages 42%
Building Rent 10%
Supplies 15%
Equipment 5%
Educational Licensing 2%
Food 10%
Utilities 10%
Maintenance 3%
Emergency/Repair 3%


Which balance sheet correctly represents the daycare's income, expenses, and balance?

Income
Amount
Weekly Income $21,000.00
Total Monthly Income $84,000.00
Expenses
Percent Amount
Employee Wages 42% $35,280.00
Building Rent 10% $8,400.00
Supplies 15% $12,600.00
Equipment 5% $4,200.00
Educational Licensing 2% $1,680.00
Food 10% $8,400.00
Utilities 10% $8,400.00
Maintenance 3% $2,500.00
Emergency/Repair 3% $2,500.00
$84,000.00
Balance
Income $84,000.00
Expenses $84,000.00
Balance $0

Income
Amount
Weekly Income $21,000.00
Total Monthly Income $91,000.00
Expenses
Percent Amount
Employee Wages 42% $38,220.00
Building Rent 10% $9,100.00
Supplies 15% $13,650.00
Equipment 5% $4,550.00
Educational Licensing 2% $1,820.00
Food 10% $9,100.00
Utilities 10% $9,100.00
Maintenance 3% $2,730.00
Emergency/Repair 3% $2,730.00
$91,000.00
Balance
Income $91,000.00
Expenses $91,000.00
Balance $0

Income
Amount
Weekly Income $21,000.00
Total Monthly Income $94,500.00
Expenses
Percent Amount
Employee Wages 42% $36,690.00
Building Rent 10% $9,450.00
Supplies 15% $14,175.00
Equipment 5% $4,725.00
Educational Licensing 2% $1,890.00
Food 10% $9,450.00
Utilities 10% $9,450.00
Maintenance 3% $2,835.00
Emergency/Repair 3% $2,835.00
$94,500.00
Balance
Income $94,500.00
Expenses $94,500.00
Balance $0

Income
Amount
Weekly Income $21,000.00
Total Monthly Income $42,000.00
Expenses
Percent Amount
Employee Wages 42% $17,640.00
Building Rent 10% $4,200.00
Supplies 15% $6,300.00
Equipment 5% $2,100.00
Educational Licensing 2% $840.00
Food 10% $4,200.00
Utilities 10% $4,200.00
Maintenance 3% $1,260.00
Emergency/Repair 3% $1,260.00
$42,000.00
Balance
Income $42,000.00
Expenses $42,000.00
Balance $0

Answers

The balance sheet that correctly represents the daycare's income, expenses, and balance is given as follows:

A) Income

Amount

Weekly Income $21,000.00

Total Monthly Income $84,000.00

Expenses

Percent Amount

Employee Wages 42% $35,280.00

Building Rent 10% $8,400.00

Supplies 15% $12,600.00

Equipment 5% $4,200.00

Educational Licensing 2% $1,680.00

Food 10% $8,400.00

Utilities 10% $8,400.00

Maintenance 3% $2,500.00

Emergency/Repair 3% $2,500.00

$84,000.00

Balance

Income $84,000.00

Expenses $84,000.00

Balance $0

What is balance sheet?

A balance sheet is a financial statement that lists the assets and liabilities of a corporation at a certain point in time. It is one of the three primary financial statements—the other two being the income statement and cash flow statement—that are used to assess a company's performance.

The weekly income is of $21,000, while a month is composed by four weeks, hence the monthly income is of:

=4 x $21,000

= $84,000.

Then the percentages of each expenses are applied to find the values, for example, 42% of that is for employee wages, hence:

= 0.42 x 84,000

= $ 35, 280

From the details we get Employee Wages 42% of $35,280.00

Hence, the balance will be of zero and option A is correct.

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Temperatures in °F can be converted in °C using the formula
C=5(F-32)/9
Make F the subject of the formula
Give your answer in the form aC+b/c where a,b and c are all positive integers

Answers

Answer:

Step-by-step explanation:

To make F the subject of the formula, you need to solve for F in the equation C = 5(F-32)/9.

You can do this by first multiplying both sides of the equation by 9 to get rid of the fraction:

C * 9 = 5(F-32)

Then, you can distribute the 5 on the right side of the equation:

C * 9 = 5F - 160

Then, you can add 160 to both sides of the equation to isolate the F term:

C * 9 + 160 = 5F

Finally, you can divide both sides of the equation by 5 to solve for F:

F = (C * 9 + 160)/5

This gives you the final form of the equation:

F = (9C + 160)/5

In this form, F is the subject of the formula. a = 9, b = 160, and c = 5 are all positive integers.

Answer:

[tex]F=\dfrac{9C+160}{5}[/tex]

Step-by-step explanation:

Given equation:

[tex]C=\dfrac{5(F-32)}{9}[/tex]

Multiply both sides by 9:

[tex]\implies 9C=5(F-32)[/tex]

Divide both sides by 5:

[tex]\implies \dfrac{9C}{5}=F-32[/tex]

Add 32 to both sides:

[tex]\implies \dfrac{9C}{5}+32=F[/tex]

[tex]\implies F=\dfrac{9C}{5}+32[/tex]

Rewrite 32 as a fraction with denominator 5:

[tex]\implies F=\dfrac{9C}{5}+\dfrac{32 \cdot 5}{5}[/tex]

[tex]\implies F=\dfrac{9C}{5}+\dfrac{160}{5}[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}+\dfrac{b}{c}=\dfrac{a+b}{c}:[/tex]

[tex]\implies F=\dfrac{9C+160}{5}[/tex]

Rose chin deposited $900 in a new savings account. The amount for $1.00 compounded daily the account earns after 12 years at 5.25% interest is 1.878. Calculate the compound interest earned after 12 years.

Answers

The answer to this Question based on Compound Interest is 1690.2$

What is Compound Interest?

Compound interest is a type of interest that is calculated not only on the initial principal but also on the accumulated interest of previous periods. It is the result of reinvesting interest, rather than paying it out, so that interest in the next period is then earned on the principal plus previously accumulated interest. It is the concept of earning interest on interest, which causes the total balance to grow at a faster rate than simple interest. Compound interest is often referred to as the eighth wonder of the world, as it is a powerful financial concept that can yield impressive results over a long period.

Initial money deposited = 900$
1$ turns into 1.878$ after 12 years of Compound Interest
hence by basic manipulation we can do like
900$ turns  into 900 multiplied by 1.878 which comes out to b 1690$
Hence after 12 years final amount will be 1690$

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Which statement describes values of x and y such that x/y could be an irrational number?

A. The value of x is zero, and the value of y is an integer less than zero.

B. The value of x is the square root of an integer, and the value of y is an integer greater than zero.

C. The value of x is an integer less than zero, and the value of y is an integer greater than zero.

D. The value of x is a square root that can be simplified to an integer, and the value of y is an integer less than zero.

Answers

The statement describes values of x and y such that x/y could be an irrational number is B. The value of x is the square root of an integer, and the value of y is an integer greater than zero.

How to illustrate the irrational number?

The square root of an integer for x and a positive integer greater than zero for y are described in the statement as values of x and y that could be irrational numbers.

We have provided x and y values that could be irrational numbers. Any real number that cannot be expressed as the quotient of two integers is considered an irrational number. Positive whole numbers are not considered negative integers, nor are negative integers, or numbers below zero.

Consequently, we can say that A, C, or D do not demonstrate the irrational numbers since they are all expressed as integers.

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