Kyle deposited $1200 in a savings account that earns 4.25% simple annual interest. If kyle keep the money in the account for 4 years what is the new balance?

Answers

Answer 1

Answer:

If kyle keeps the money in the account for 4 years, the new balance is $1,417.37.

Step-by-step explanation:

You can use the formula to calculate the future value to find the money in the account after 4 years:

FV=PV*(1+i)^n

FV= future value

PV= present value=$1,200

i= interest rate=4.25%=0.0425

n=number of periods of time=4

FV=1,200*(1+0.0425)^4

FV=1,200*(1.0425)^4

FV=1,417.37

According to this, the answer is that if kyle keeps the money in the account for 4 years, the new balance is $1,417.37.


Related Questions

HELP PLEASE ASAP TYSM :)

HELP PLEASE ASAP TYSM :)

Answers

Answer:

I think first one

Step-by-step explanation:

because 1 3 1 are to separate

10 3 4 too

and 5 2 3

Are E1 and E2 mutually exclusive events? Why or why not?

Answers

Answer:

E1 and E2 are not mutually exclusive events. They have outcomes in common because a winning number can be both red and odd.

Step-by-step explanation:

EDMENTUM

Answer:

E1   1,3,5,7,9,12,14,16,18,19,21,23,25,27,30,32,34,36

E2  1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35

E1 & E2  1,3,5,7,9,19,21,23,25,27

E1 or E2 2,4,6,8,10,20,22,24,26,28,0,00

Step-by-step explanation

plato answer, give branliest pls

helppppp skskskskskek

helppppp skskskskskek

Answers

Answer:

103

Step-by-step explanation:

the angles ∠KQN and ∠QRP are equivalent because they are corresponding angles

so we can set them equal to each other

3x + 52 = 5x + 18

now solve

subtract 3x to both sides

52 = 2x + 18

subtract 18 to both sides

34 = 2x

divide x to both sides

x = 17

now put 17 into the equation for ∠QRP

5(17) + 18 = 103

that is the answer

The table represents the relationship between a length measured in meters and the same length measured in kilometers.

Answers

Answer: it would be 44

Step-by-step explanation: because the number of kilometeres devided by meters and that gives younte answrr

Use the function to evaluate the indicated expressions and simplify. f(x) = 2x2 5 f(x 2) = f(x) f(2) =

Answers

The expression f(x 2), we substitute x 2 into the function f(x). Therefore, f(x 2) = 8x^2 + 5 and f(2) = 13.

To evaluate the expression f(x 2), we substitute x 2 into the function f(x). Thus, f(x 2) = 2(x 2)^2 + 5.

To simplify this expression, we first simplify the exponent by applying the power rule.

We have (x 2)^2 = (x^2)(2^2) = (x^2)(4) = 4x^2. Substituting this back into the expression, we get f(x 2) = 2(4x^2) + 5.

Simplifying further, we have f(x 2) = 8x^2 + 5. To find f(2), we substitute x = 2 into the function f(x).

Thus, f(2) = 2(2)^2 + 5. Simplifying, we have f(2) = 2(4) + 5 = 8 + 5 = 13.

Therefore, f(x 2) = 8x^2 + 5 and f(2) = 13.

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The game stop is having a sale and all games are reduced by 37%. If a game is now 19.99 what was the original price

Answers

The Game Stop is having a sale in which all games are reduced by 37%. If a game is now 19.99, what was the original price.

To find out the original price, we can use the following formula: Sale Price = Original Price - (Discount Percent × Original Price)First, we need to determine the discount percentage. It is given that the discount is 37%. Thus, the discount percentage in decimal form is 0.37.

We can substitute the given values in the formula:19.99 = Original Price - (0.37 × Original Price)Simplifying the equation, we get:19.99 = Original Price - 0.37 × Original Price19.99 = Original Price(1 - 0.37)19.99 = Original Price(0.63)Dividing both sides by 0.63:Original Price = 19.99 / 0.63Original Price = 31.746032As we can see, the original price of the game was $31.75 (rounded to the nearest cent).Hence, the original price of the game was $31.75.

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A true/false test consists of 100 questions. A student knows the correct answer to 40 of the questions. She guesses each of the other answers independently based on the toss of a coin.

Answers

Answer:

whats the question

Step-by-step explanation:

how can confidence intervals help researchers attain their purpose of using a sample to understand a population?

Answers

The reason for why the confidence intervals help researchers attain their purpose of using a sample to understand a population is given below .

In the question ,

we have been asked how does the confidence interval help researchers to attain the purpose of using a sample to understand a population ,

we know that , the confidence interval is calculated from an estimate of how far away our sample mean is from actual population mean .

the confidence interval are useful because ,

(i) by calculating the confidence intervals around any data we collect, we have additional information about the likely values we are trying to estimate .

(ii) they make data analyses richer and help us to make more informed decisions about the research questions .

Therefore , the reason how confidence interval helps is mentioned above.

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Each year you sell 3,000 units of a product at a price of $29.99 each. The variable cost per unit is $18.72 and the carrying cost per unit is $1.43. You have been buying 250 units at a time. Your fixed cost of ordering is $30. What is the economic order quantity? A) 342 units B) 329 units OC) 367 units D) 355 units E) 338 units

Answers

The economic order quantity is approximately 355 units, which corresponds to option D) 355 units.

To find the economic order quantity (EOQ), we can use the following formula:

EOQ = sqrt((2 * Annual Demand * Fixed Ordering Cost) / Carrying Cost per Unit)

Given information:

Annual Demand = 3,000 units

Fixed Ordering Cost = $30

Carrying Cost per Unit = $1.43

Substituting the values into the formula:

EOQ = sqrt((2 * 3,000 * 30) / 1.43)

EOQ = sqrt(180,000 / 1.43)

EOQ = sqrt(125,874.125)

EOQ ≈ 354.91

Rounding the EOQ to the nearest whole number, we get:

EOQ ≈ 355 units

Therefore, the economic order quantity is approximately 355 units, which corresponds to option D) 355 units.

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saniya claims she found the solution of the equation 3.5x-7=0.5(x-8)

her work is shown below.

part A: in a complete sentence, identify and correct saniyas error.

part B: what is the correct solution to the equation?

saniya claims she found the solution of the equation 3.5x-7=0.5(x-8)her work is shown below.part A: in

Answers

Answer:

part a) after distributing the half into the parentehsis she was supposed to get a 4 not a 16, because 8 times half is 4 not 16
part b) the correct solution would be as follows:

3.5x -7 = 0.5x - 4

3.5x - 0.5x = -4 +7

3x = 3

x = 1

A 4-digit number contains at least one even digit. How many such numbers are there? Please help me. I will mark brainliest

Answers

Given:

A 4-digit number contains at least one even digit.

To find:

How many such numbers are there?

Solution:

Digits are 0,1,2,3,4,5,6,7,8,9.

Number of odd digits = 5

Number of even digits = 5

4-digit numbers are from 1000 to 9999.

Total number of 4-digit numbers = 9000

Possible ways to get odd digits on all the 4 places is

\(5\times 5\times 5\times 5=625\)

It means 625 numbers are their in which all 4 digits are odd.

To find total 4-digit number that contains at least one even digit, subtract the numbers which contains only odd numbers from the total 4-digit numbers.

\(9000-625=8375\)

Therefore, total 4-digit number that contains at least one even digit is 8375.

Take another guess: A student takes a multiple-choice test that has 8 questions. Each question has four choices. The student guesses randomly at each answer. Round the answers to three decimal places.(a) Find P(3)P(3) =(b) Find P (More than 1).P(More than 1)=

Take another guess: A student takes a multiple-choice test that has 8 questions. Each question has four

Answers

Answer:

(a)0.208

(b)0.633

Explanation:

Since the variable X is not defined, we assume that X is the number of questions answered correctly.

Each question has 4 options out of which just 1 is correct.

Each question is independent of other questions. Thus, we can use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(\begin{gathered} P(X=x)=^nC_x(p^x)(1-p)^{n-x} \\ where\; ^nC_x=\frac{n!}{(n-x)!x!} \end{gathered}\)

• In this case, there are 8 questions: n=8

,

• 1 out of 4 options is correct, p=1/4=0.25

Part 1

\(\begin{gathered} P(3)=^8C_3(0.25^3)(1-0.25)^{8-3} \\ =56\times0.25^3\times0.75^5 \\ =0.208 \end{gathered}\)

P(3)=0.208 correct to 3 decimal places.

Part 2

\(P(X>1)=1-P(X\le1)\)

First, we calculate P(X≤1):

\(\begin{gathered} P\mleft(X\le1\mright)=P(0)+P(1) \\ P(0)=^8C_0(0.25^0)(0.75)^8=1\times1\times0.1001=0.1001 \\ P(1)=^8C_1(0.25^1)(0.75)^7=8\times0.25\times0.1335=0.2670 \\ \implies P(X\le1)=0.1001+0.2670=0.3671 \end{gathered}\)

Therefore, the probability, P(more than 1) is:

\(P(X>1)=1-P(X\le1)=1-0.3671=0.633\)

P(more than 1) is 0.633 (correct to 3 decimal places).

1. Turning the outer circle of a batch of shafts, its size d=(25±0.05 ) mm, it is known that the machining error distribution curve of this process is a normal distribution, its standard deviation is o=0.025 mm, and the peak position of the curve is 0.01mm to the left of the center of the tolerance zone mm, draw a normal distribution curve, and mark the area of non-conforming products?

Answers

The normal distribution curve, also known as the Gaussian distribution, is a symmetrical probability distribution that is characterized by a bell-shaped curve. It is commonly used to model random variables in various fields, with many data points concentrated around the mean.

Given data: d = 25 ± 0.05 mmo = 0.025 mm peak position of the curve is 0.01mm to the left of the center of the tolerance zone To draw a normal distribution curve, we use the formula

\(y = \frac{1}{\sigma \sqrt{2 \pi}} e^{-\frac{(x - \mu)^2}{2 \sigma^2}}\)

where σ is the standard deviation, μ is the mean and x is the given value. Now, let's calculate the values of μ, x, and σ:

Lower specification limit (LSL) = d - 0.05 = 24.95

Upper specification limit (USL) = d + 0.05 = 25.05

Mean (μ) = (USL + LSL)/2 = (25.05 + 24.95)/2

= 25σ

= 0.025

Peak position of the curve = (LSL + USL)/2 - 0.01 = 25 - 0.01 = 24.99

Now, substituting the values in the formula, we get:

\(y = \frac{1}{\sigma \sqrt{2 \pi}} e^{-\frac{(x - \mu)^2}{2 \sigma^2}}\)

To find the area of non-conforming products, we need to integrate the area under the curve from LSL to USL. We can use a calculator or a software program like Excel to find the area. The area comes out to be approximately 0.0668. This means that the percentage of non-conforming products is 6.68%.Therefore, the normal distribution curve is shown below:  Answer: 0.0668

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find the standard form of the equation of the ellipse

Answers

The standard form of the equation of an ellipse is a useful representation that helps describe its shape and characteristics.

Standard form of the equation of an ellipse is given by:

(x-h)^2/a^2 + (y-k)^2/b^2 = 1

where (h,k) represents the center of the ellipse, 'a' is the length of the semi-major axis, and 'b' is the length of the semi-minor axis.

To find the standard form of the equation, you need the coordinates of the center and the lengths of the semi-major and semi-minor axes. Let's assume the center of the ellipse is (h,k), the length of the semi-major axis is 'a', and the length of the semi-minor axis is 'b'. Then the standard form equation becomes:

(x-h)^2/a^2 + (y-k)^2/b^2 = 1

The standard form of the equation of an ellipse is a useful representation that helps describe its shape and characteristics. By knowing the center and the lengths of the semi-major and semi-minor axes, you can easily write the equation in standard form, allowing for further analysis and calculations.

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Make x the subject of p=m^2-X/2

Answers

Answer:

\(x =2m {}^{2} - 2p\)

Answer:

Step-by-step explanation:

\(p=m^{2}-\frac{x}{2}\\\\p+\frac{x}{2}=m^{2}\\\\\frac{x}{2}=m^{2}-p\\\\x = 2*(m^{2}-p)\\\\x = 2m^{2}-2p\)

Find the lengths of line segment
GJ.

Find the lengths of line segment GJ.

Answers

The line segment is 16 units long
Add the two parts (G,H) + (H,J) to get the length of the whole line

If A=20 and C=0, complete the table and write the equation.

If A=7, F=5, complete the table.

If A=20 and C=0, complete the table and write the equation. If A=7, F=5, complete the table.

Answers

The equations are y = 5x and y = 3 + x, and the table of values are

x   4    1    0    3    6    2    5   -1    7

y  20  5   0    15   18   10  25   -5  30

x   4    1    0    3    6    2    5   -1    7

y  7    4    3    6     9   5    8   2    10

How to complete the tables and write the equations

When A = 20 and C = 0

Here, we have

A = 20 and C = 0

This means that we have the points (4, 20) and (0, 0).

Assuming the table is a linear table, we first need to find the slope of the table using

m = (y2 - y1) / (x2 - x1)

Using the points (4, 20) and (0, 0), we get:

m = (0 - 20) / (0 - 4) = 20/4 = 5

The equation is  then calculated as

y = mx + c

Calculating c, we have

20 = 5 * 4 + c

Evaluate

c = 0

So, the equation is

y = 5x

When the table is completed using the above equation, we have the following table of values

x   4    1    0    3    6    2    5   -1    7

y  20  5   0    15   18   10  25   -5  30

When A = 7 and F = 5

Here, we have

(4, 7) and (2, 5).

In the above, we can see that y is 3 more than x

So, the equation is

y = 3 + x

When the table is completed using the above equation, we have the following table of values

x   4    1    0    3    6    2    5   -1    7

y  7    4    3    6     9   5    8   2    10

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The perimeter of a rectangle is 8 inches . The length of rectangle is one inch more that twice the width of the rectangle.Find the dimensions for the rectangle

Answers

Answer: Length 3, width is 1.

Step-by-step explanation: L + W = 4

L = 2W + 1

the bakery department in a supermarket had sales last week of $15,349. if the department occupies 300 square feet of space, what were the department's sales per square foot for the week?

Answers

The department's sales per square foot are $51.16 per square foot.

What is division?

Division is the process of dividing a number by a given number.

Given that, the supermarket had sales last week of $15349, and the area of the department is 300 square feet.

The sales per square foot are:

(total sales)/ (total area)

= 15349/300

= 51.16

Hence, the department's sales per square foot are $51.16 per square foot.

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the questions:

What is the median value of each data set?


Compare the median values of the data sets by stating which one is greater and what their difference is.

What does this comparison tel, you in terms of the situation the data represent?


What is the range in battery life for Y?

If Mary bought 12 of the Brand X, how many of them lasted more than 14 hours.

the questions: What is the median value of each data set?Compare the median values of the data sets by

Answers

Answer:

I'd rather ask G.oogle

Step-by-step explanation:

btw brainliest me

Median for X: 16
Median for Y: 11
The median is always the number above the line in the box.

Range for battery Y: 17
Always subtract min from max to find the range.

My class is learning this right now and we are like right in the middle of it so I don’t know the answer to the other questions sorry.

a smaller square of side length feet is cut out of a square board. what is the approximate area (shaded region) of the remaining board in square feet?

Answers

If a smaller square of side length 17 feet is cut out of a square board , then the approximate area of remaining board in square feet is x² - 289 square feet  .

le the side length of the big square board be = "x" ft ;

the side length of smaller square is = 17 ft ;

So , the area of the smaller square is = (side length) × (side length)

= 17 × 17

= 289 ft² .

and , the area of the larger square is = (x) × (x) ;

= x²  .

So , the approximate area of the remaining board is calculated as :

= x² - 289  ;

Therefore , area of remaining board is "x² - 289" .

The given question is incomplete , the complete question is

A smaller square of side length 17 feet is cut out of a square board. What is the approximate area of the remaining board in square feet ?

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what expressions are equivalent to (-2.4a-1.8b)-(-3.8a1-4.4b)+(2.0a+3.0b)

Answers

The expression (-2.4a-1.8b)-(-3.8a1-4.4b)+(2.0a+3.0b) is equivalent to 3.4a - 2.2b.

What is the equivalent expression of (-2.4a-1.8b)-(-3.8a1-4.4b)+(2.0a+3.0b)?

Distributing the negative sign inside the first set of parentheses, we get:

(-2.4a - 1.8b) - (-3.8a + 4.4b) + (2.0a + 3.0b)

Simplifying the double negative in the second term, we get:

(-2.4a - 1.8b) + (3.8a - 4.4b) + (2.0a + 3.0b)

Combining like terms, we get:

(-2.4a + 3.8a + 2.0a) + (-1.8b - 4.4b + 3.0b)

Simplifying the coefficients of the like terms, we get:

3.4a - 2.2b

Therefore, (-2.4a-1.8b)-(-3.8a1-4.4b)+(2.0a+3.0b) is equivalent to 3.4a - 2.2b.

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For the following set of data, find the percentage of data within 2 population standard deviations of the mean, to the nearest percent

chart is in the photo

For the following set of data, find the percentage of data within 2 population standard deviations of

Answers

Percentage of data within 2 population standard deviations of the mean is 68%.

To calculate the percentage of data within two population standard deviations of the mean, we need to first find the mean and standard deviation of the data set.

The mean can be found by summing all the values and dividing by the total number of values:

Mean = (20*2 + 22*8 + 28*9 + 34*13 + 38*16 + 39*11 + 41*7 + 48*0)/(2+8+9+13+16+11+7) = 32.68

To calculate standard deviation, we need to calculate the variance first. Variance is the average of the squared differences from the mean.

Variance = [(20-32.68)^2*2 + (22-32.68)^2*8 + (28-32.68)^2*9 + (34-32.68)^2*13 + (38-32.68)^2*16 + (39-32.68)^2*11 + (41-32.68)^2*7]/(2+8+9+13+16+11+7-1) = 139.98

Standard Deviation = sqrt(139.98) = 11.83

Now we can calculate the range within two population standard deviations of the mean. Two population standard deviations of the mean can be found by multiplying the standard deviation by 2.

Range = 2*11.83 = 23.66

The minimum value within two population standard deviations of the mean can be found by subtracting the range from the mean and the maximum value can be found by adding the range to the mean:

Minimum Value = 32.68 - 23.66 = 9.02 Maximum Value = 32.68 + 23.66 = 56.34

Now we can count the number of data points within this range, which are 45 out of 66 data points. To find the percentage, we divide 45 by 66 and multiply by 100:

Percentage of data within 2 population standard deviations of the mean = (45/66)*100 = 68% (rounded to the nearest percent).

Therefore, approximately 68% of the data falls within two population standard deviations of the mean.

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What is the name for wegeners theory that describes how all the continents used to belong to one landmass but randomly moved over time

Answers

The name for Wegener's theory that describes how all the continents used to belong to one landmass but randomly moved over time is "continental drift."

The theory of continental drift, proposed by Alfred Wegener in the early 20th century, suggests that the continents were once part of a single supercontinent called Pangaea and have since drifted apart. According to Wegener's hypothesis, the continents moved over time due to the gradual movement of the Earth's tectonic plates. This movement, known as continental drift, explains the matching geological features found on different continents, such as similar rock formations, fossils, and ancient climate evidence. Although initially met with skepticism, Wegener's theory laid the foundation for the development of plate tectonics, which is now widely accepted in the field of geology.

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let $s$ be a subset of $\{1,2,3,...,50\}$ such that no pair of distinct elements in $s$ has a sum divisible by $7$. what is the maximum number of elements in $s$?

Answers

The maximum number of elements in $s$ is $\boxed{7}$, which we can achieve by choosing one element from each of the residue classes modulo $7$.

To find the maximum number of elements in $s$, we need to consider the elements of $\{1,2,3,...,50\}$ that are congruent to each residue class modulo $7$. There are seven residue classes modulo $7$, namely $\{0,1,2,3,4,5,6\}$. Since the sum of two elements from the same residue class modulo $7$ will also be in the same residue class modulo $7$, we cannot include more than one element from each residue class in $s$.
We can include one element from the residue class $0$, which gives us one element. For the other six residue classes, we can choose at most one element from each of them without violating the condition that no pair of distinct elements in $s$ has a sum divisible by $7$. This gives us a total of $1+6=7$ elements in $s$.
Therefore, the maximum number of elements in $s$ is $\boxed{7}$, which we can achieve by choosing one element from each of the residue classes modulo $7$.
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The Mountain States Office of State Farm Insurance Company reports that approximately 82% of all automobile damage liability claims were made by people under 25 years of age. A random sample of seven automobile insurance liability claims is under study. For samples of size 7, what is the expected number of claims made by people under 25 years of age

Answers

The expected number of claims made by people under 25 years of age is 5.74.

For this problem, we can use the binomial distribution which states that the probability of success (p) is equal to the proportion of people under 25 making claims (82%) and the probability of failure (q) is equal to the proportion of people over 25 making claims (1 - 82% = 18%).

The expected number of claims made by people under 25 is equal to the total sample size (7) times the proportion of people under 25 making claims (0.82) so the expected number of claims made by people under 25 is 7×0.82 = 5.74.

Hence, the expected number of claims made by people under 25 years of age is 5.74.

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Pls only help if you know the correct answer! Thanks! :)

Pls only help if you know the correct answer! Thanks! :)

Answers

Answer:

Line C.

Step-by-step explanation:

Negatives are supposed to be on the left side of the 0, not the right side, so we can determine that lines B and D are wrong. On line A, -3/5 is on -2 which is wrong, so line C is the correct answer.

A football is made of 12 black panels and 20 white panels. There is a joint whenever two panels meet along the edge how many joints are there?

Answers

Answer:

12+20=32

Step-by-step explanation:

None Hope this helps

pleaseeee help me either no one is answering or they're wrong w no explanation:(
i realllyyy need the help :(((
will mark u brainliest if that helps

pleaseeee help me either no one is answering or they're wrong w no explanation:(i realllyyy need the

Answers

Answer:

Felicia, these questions are tough for a lot of reasons, so it makes sense to me that nobody is giving you the right answers.   here is a right one  :)

Step-by-step explanation:

1st we need a strategy.  brainstorm :P   we are given the cost of material for boxes in area,  we are asked how much 12 boxes would cost.  let's find the area of the material for one box multiply that by the given cost. and then multiply that by 12  for the total cost.  seem good?  Yes there are other good ways to solve this problem if you're thinking that.  this is just how I'm arbitrarily choosing to solve it.

1) surface area of prism box

1a) triangles on ends

1/2* b*p  ( I think 6.2 is P for you, not positive about that)

1/2*6.4*6.2= 19.84  

1b) flat sides

6.4*25 =160 ( this is B )

1c) add up the 5 sides

160*3 + 19.84 * 2  = 839.68 \(cm^{2}\)

2) find the cost on 1 box

839.68 \(cm^{2}\) *  $0.0001 = 0.8397

about $0.84

3) find the cost for 12 boxes

0.8397 * 12 = 10.076

about $10.08

try those answers :)

A) Which number line shows a graph of the inequality x > -25

B) the coordinates of the points below represent the vertices of a rectangle, what is the perimeter, in units, of rectangle PQRS

A) Which number line shows a graph of the inequality x > -25B) the coordinates of the points below

Answers

Answer:

Ans of A is A

Ans if B is C = 14

Other Questions
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