Matching the transactions to their relevant posting in the ledger are;
Business purchases furniture: furniture account debited
Business sells furniture: furniture account credited
Business takes a loan from the bank: loan account debited
Business pays off the loan: loan account credited
How to fill the transaction Ledger?The ledger transactions are simply defined as a summary of transactions made as journal entries to sub-ledger accounts.
Now, the three main types of ledgers are;
1) General ledger: This contains accounts that correspond to the income statement and balance sheet for which they are destined.
2) Sales ledger or debtor's ledger: This shows at any given time how much your customers owe you and your company.
3) Purchase ledger or creditor's ledger: This shows a record of a company's purchases of goods and services showing the amounts that have been paid and remain to be paid.
From the above, we can classify the transactions as;
Business purchases furniture: furniture account debited
Business sells furniture: furniture account credited
Business takes a loan from the bank: loan account debited
Business pays off the loan: loan account credited
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Alice watched two films at the cinema. The first film was 1; hours long and the second was 2} hours long. a Work out the total length of the two films. Alice drove to the cinema. She arrived 10 minutes before the first film began and had to wait for half an hour between the two films. She left immediately after the second film finished. Car park tickets can be bought in multiples of 1 hour. b How many hours of parking did Alice need to buy?
Answer:
4
Step-by-step explanation:
1h
2hrs
10 mins before
wait 30mins
total: 3h 40mins
so has to buy 4hrs
Answer:
she has to pay for 3 hours and 40 minutes worth of parking so 4 or 3 if its rounded or not
Step-by-step explanation:
.Most of Conservative Casey’s money is invested in a savings account that pays 1%
interest a year, but some is invested in a risky stock fund that pays 7% a year. Casey’s
total initial investment in the two accounts was $10000. At the end of the first year, Casey
received a total of $250 in interest from the two accounts. Find the amount initially invested
in each
The amount Casey invested in the certificate of deposit is; $60,000.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Assume that
0.01c - 0.02s = $250---equation 1
c + s = $10,000 ------ equation 2
Where: c = amount invested in the certificate of deposit
s = amount invested in the savings account
Now Multiply equation 2 by 0.01:
0.01c + 0.01s = 100 equation 3
Subtract equation 3 from equation 1:
0.01s = 100
Divide both sides of the equation by 0.01:
s = 100 / 0.01
s = 10,000
Substitute for s in equation 2:
c + 10,000 = 70,000
c = 70,000 - 10,000
c = 60,000
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a total of 35% of americans smoke cigarettes, 15% smoke cigars and 7% smoke both cigarettes and cigars. a. what percentage smoke something (cigars, cigarettes or both)? b. what percentage smoke neither cigars nor cigarettes? c. what percentage smoke cigars but not cigarettes? d. what is the conditional probability that a randomly selected person smokes cigarettes given that he smokes cigars? g
The solution of each part of the question is given below:
a. Let C be the event that a person smokes cigars, and let S be the event that a person smokes cigarettes. The percentage of Americans who smoke either cigars, cigarettes, or both can be calculated as P(C U S), where U represents the union of two events. From the given information, P(C) = 15% and P(S) = 35%. The probability that a person smokes both cigars and cigarettes is 7%, so P(C ∩ S) = 7%.
P(C U S) = P(C) + P(S) - P(C ∩ S)
P(C U S) = 15% + 35% - 7% = 43%
So, 43% of Americans smoke either cigars, cigarettes, or both.
b. The percentage of Americans who smoke neither cigars nor cigarettes can be calculated as P(C' ∩ S'), where C' represents the complement of event C (not smoking cigars) and S' represents the complement of event S (not smoking cigarettes).
P(C' ∩ S') = 100% - P(C U S)
P(C' ∩ S') = 100% - 43% = 57%
So, 57% of Americans smoke neither cigars nor cigarettes.
c. The percentage of Americans who smoke cigars but not cigarettes can be calculated as P(C ∩ S').
P(C ∩ S') = P(C) - P(C ∩ S)
P(C ∩ S') = 15% - 7% = 8%
So, 8% of Americans smoke cigars but not cigarettes.
d. The conditional probability that a person smokes cigarettes given that he smokes cigars can be calculated as P(S | C), where S represents the event that a person smokes cigarettes and C represents the event that a person smokes cigars.
P(S | C) = P(S ∩ C) / P(C)
P(S | C) = 7% / 15% = 0.47
So, the conditional probability that a randomly selected person smokes cigarettes given that he smokes cigars is 0.47, or 47%.
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What is the weight in lbs of a 75-kg person?
Hence, we can say that the weight of a person of 75 Kg in lbs will be equal to 165.3465lbs.
Define weight?The weight of an object is the force acting on it due to gravity in science and engineering.Weight is defined as a vector quantity in some standard textbooks, as the gravitational force acting on the object.Others define weight as a scalar quantity, the magnitude of gravity.We know that the conversion factor for lbs to kg is
1 kg = 2.20462lbs
Now, to convert 75 Kg into lbs, we need to multiply the 75 with the conversion factor. That is,
75kg = 75×2.20462lbs = 165.3465lbs
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Simplify the expression please. See image for problem
Answer:
answer is 1
Step-by-step explanation:
12-y/6y-36
and other you can see by photo
buckley farms decides to increase the mean weight of each bag of chips so that only 5% of the bags have weights that are less than 16 ounces. assuming that the standard deviation remains 0.12 ounce, what mean weight should buckley farms use?
Assuming that the standard deviation remains 0.12 ounces, so 16.251 ounces mean weight should Buckley Farms use.
The total weight of each bag follows an approximately normal distribution with a mean of 16.15 ounces and a standard deviation of 0.12 ounces.
Mean (μ) = 16.15
Standard deviation, (σ) = 0.12
n = 6
Buckley Farms decides to increase the mean weight of each bag of chips so that only 5%(0.05) of the bags have weights that are less than 16 ounces. So
P(X > x) = 0.05
P[(X - μ)/(σ/√n) > (x - μ)/(σ/√n)] = 0.05
1 - P(Z ≤ z) = 0.05
Subtract 1 on both side , we get
P(Z ≤ z) = 0.95
z = 1.96
(x' - μ)/(σ/√n) = 1.645
Now putting the value
(x' - 16.15)/(0.15/√6) = 1.645
(x' - 16.15)/(0.15/2.45) = 1.645
(x' - 16.15)/(0.0612) = 1.645
Multiply by 0.0612 on both side, we get
x' - 16.15 = 0.100674
Add 16.15 on both side, we get
x' = 16.251
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The complete question is:
Buckley Farms produces homemade potato chips that it sells in bags labeled 16 ounces. The total weight of each bag follows an approximately normal distribution with a mean of 16.15 ounces and a standard deviation of 0.12 ounces. Buckley Farms ships its chips in boxes that contain 6 bags. Buckley Farms decides to increase the mean weight of each bag of chips so that only 5% of the bags have weights that are less than 16 ounces. Assuming that the standard deviation remains 0.12 ounces what mean weight should Buckley Farms use?
Name a pair of adjacent angles in this figure. N
Answer:
Step-by-step explanation:
angleNOP AND anglePOQ
anglePOQ AND angleQOR
Can I please get help with this?
Answer:
Step-by-step explanation:
its number 3
30 Points For Helping and Brainliest.
Which sequence has a common difference of -3?
{22, 25, 28, 31, …}
{1, -3, 9, -27,…}
{28, 25, 22, 19, …}
{-99, 33, -11, 3.67,…}
Answer:
{28, 25, 22, 19, …}
Step-by-step explanation:
you use the next # minus the previous one
3) Determine the slope of the line that contains the given points!
(-6,10) and (-12,-10). (1 pt)
A) 0
B)10/3
C)undefined
D)-10/3
Answer:
B
Step-by-step explanation:
Δy = -10-10= -20
Δx = -12-(-6) = -6
-20/-6= 10/3
or the students in kendra's grade voted to select a guest speaker. 20% of the students voted for a famous athlete. if there are 85 students in kendra's grade, how many students voted for the athlete?
There will be 17 students voted for the famous athlete.
Athlete Speaker Vote CountYou can calculate this by multiplying the number of students in the grade (85) by the percentage who voted for the athlete (20% or 0.20).
85 x 0.20 = 17
The method used here is called "Percentage calculation." The method of percentage calculation is generally applicable to many situations where you want to find the proportion of a number relative to another number. It can be used to solve problems in various fields such as mathematics, finance, statistics, and more.
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A parabola can be drawn given a focus of (-7, 9) and a directrix of y = 11. Write
the equation of the parabola in any form.
The equation of the parabola with focus at (-7,9) and directrix at y = 11 is given as follows:
(x + 7)² = -4(y - 10)
How to obtain the equation of the parabola?The equation of a vertical parabola is given as follows:
(x - h)² = 4p(y - k)
In which:
(h,k) are the coordinates of the vertex.y = k - p are the coordinates of the directrix.(h, k + p) are the coordinates of the focus.A parabola can be drawn given a focus of (-7, 9), hence:
h = -7.k + p = 9.Directrix of y = 11, hence:
k - p = 11.
Adding the equations of the y-coordinate of the focus and of the directrix, the value of k is obtained as follows:
2k = 20
k = 20/2
k = 10.
Hence the value of p is of:
p = k - 11
p = -1.
Meaning that the equation is:
(x + 7)² = -4(y - 10)
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Which statement would be the best
To show the given two triangles are similar, choose option D.
What are similar triangles?If in two triangles the ratio of corresponding sides are equal, and all corresponding angles are equal then they are considered as similar triangles.
Given that, two triangles are similar Δ STW ~ Δ XYZ,
According to definition of similar triangles,
The ratio of corresponding sides are equal, and all corresponding angles are equal,
Therefore, we have,
ST/XY = TW/YZ = SW/XZ
And,
Angles A, B and C are equal to Angles X, Y and Z respectively.
From the above discussion we can conclude, the correct options are;
To show the given two triangles are similar, we should have all the given sides in equal proportion.
As we are already given that, ST = 27 and XY = 9
The scale factor is 1/3
So, we should consider the option D, SW = 15 and TW = 24
By this we can get, SW/XZ = 3 and TW/YZ = 3
Hence, the correct option is D
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Find the percent of change from 30 to 42 and tell whether it was an percent of increase or percent of decrease. Percent of change = _______ %
It was a percent of _______
A tv that regular sells for $425 is marked down to 340. What is the % of markdown? Be sure to round your answer to the nearest hundreth.
A. 20%
B. 25%
C. 80%
D. 85
True or False: Percent of increase is when the original amount is larger than the final amount.
True
False
PLS HELP ME!!
Answer:
1) 40%, increase
2) a)20%
3) True
Step-by-step explanation:
Use the exponential decay equation
A = A0(0.5)t/k,
where A is the amount of a radioactive material present after time t, k is the half-life of the radioactive substance, and A0 is the original amount of the radioactive substance. Round to the nearest tenth.
An isotope of technetium is used to prepare images of internal body organs. The isotope has a half-life of approximately 6 h. A patient is injected with 30 mg of the isotope.
(a) What is the technetium level in the patient after 5 h?
A = mg
(b) How long (in hours) will it take for the technetium level to reach 23 mg?
t = h
Radioactivity decay, half-life, and population decay are only a few of the forms of decay that may be calculated using the exponential decay formula.
How do you find the half life of an exponential decay?
The term "exponential decay" describes a process in which a quantity diminishes over time at a pace that reduces proportionally as the quantity shrinks.
The population decline and radioactive decay are two examples of exponential decay. The data obtained can be used to make predictions about the population of a city or colony in the future as well as the half-life of radioactive materials.
The exponential decay formula aids in determining the rapid decline over time, or exponential decline. The exponential decay formula is used to calculate various types of decay, including radioactivity decay, half-life, and population decay.
The exponential decay formula is used to calculate various types of decay, including radioactivity decay, half-life, and population decay. The standard form of the equation be f(x) = a (1 - r)x.
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Which item loads onto the same component as P1Q45?O PIQ42 O P1Q7O O P2Q23O none of the above
None of the aforementioned goods loads upon P1Q45. This is so that they cannot be loaded onto the same amount since each item is linked to a different one.
None of the aforementioned goods loads upon P1Q45. This is so that they cannot be loaded onto the same component since each item is linked to a different one. For instance, P1Q45 is connected to a particular component, like a printer, whereas P1Q7 is connected to a different component, like a monitor. Likewise, P2Q23 is connected to a third element, such a scanner. Therefore, it is not possible to load these items onto the same component as P1Q45. Furthermore, each of the three objects would need to be loaded separately into the component even if they were all linked to the same one. This is due to the fact that for the component to work effectively, each item needs to be put onto it securely and accurately. The answer to the question is therefore none of the aforementioned options.
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The differential equation xydx + (x^2 + y^2)dy = 0 is Select the correct answer.
a. exact with solution x^2y/2 + y^3/3 =c b. exact wiih solution x^2y/2 + y^2/2 = c c. exact with solution x^2y/2 + y^3/3+c d. not d: not exact but having an integrating factor x c e. not exact but having an integrating factor y
The correct answer is option is option d) not exact but having an integrating factor x c e.
Integrating factor is defined as the function which is selected in order to solve the given differential equation. It is most commonly used in ordinary linear differential equations of the first order. When the given differential equation is of the form; dy/dx + P(x) y = Q(x)
We have, (x2+y2)dy= -xydx
⇒dxdy= -(x2+y2xy)
Substitute y=vx
⇒ - dxdy=v+xdxdv
⇒v+xdxdv= -(1+v2v)
⇒ xdxdv= -(1+v2v−v)
= -(−1+v2v3)
⇒v31+v2dv =xdx
Integrating both sides we get, −2v21+logv= logx-logc, where c is constant
⇒−2v21+log(cvx)=0
⇒y=cex2/2y2
Now using y(1)=1⇒c=e−1/2
Also y(x0)=e
⇒e=e−1/2+x02/2e2⇒1=−1/2+x02/2e2
⇒x02=3e2
⇒x0=[tex]\sqrt{3}[/tex]e
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the manager of a supermarket tracked the amount of time needed for customers to be served by the cashier. after checking with his statistics professor, he concluded that the checkout times are exponentially distributed with a mean of 5 minutes. what propotion of customers require more than 10 minutes to check out? proportion
Approximately 86.5% of customers will be served in less than 10 minutes and only 13.5% of customers will take more than 10 minutes to check out.
Exponential Checkout Time ProportionTo find the proportion of customers who take more than 10 minutes to check out, we need to calculate the cumulative distribution function (CDF) of an exponential distribution at 10 minutes and subtract it from 1. The CDF for an exponential distribution with mean (lambda) 5 minutes is given by:
CDF = 1 - e^(- λ * x)
Plugging in λ = 0.2 (1/mean) and x = 10, we get:
CDF = 1 - e^(-0.2 * 10) = 1 - e^(-2) = 1 - 0.135 = 0.865
So, approximately 86.5% of customers will be served in less than 10 minutes and only 13.5% of customers will take more than 10 minutes to check out.
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Cluster
Randomly select several city blocks; interview all the adults living on each block
The first step in this project is to randomly select several city blocks for interviewing. For example, if one were to select two blocks in a city, one could go door-to-door and interview all the adults who live on the blocks.
This would require the researcher to ask questions about the residents' backgrounds and opinions about their current living environment, as well as any other relevant topics of interest. Furthermore, the researcher should collect demographic information, such as age, gender, and ethnicity, to gain insight into the makeup of the population.
By engaging in this project, the researcher can gain valuable insights into the lives of the people living in the city, as well as their opinions on the quality of life they experience. This data can then be used to inform decision-making processes by city officials, such as public policy and urban development projects.
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The members of a population have been numbered 1-341.
A sample of size 5 is to be taken from the population, using systematic random sampling. Complete the below using the table.
Random Number Table- 03184 61921 87377
97729 79151 33433
Procedure for Systematic Random Sampling
First, divide the population size by the sample size and round the result down to the nearest whole number, m.
Then, use a random-number table or a similar device to obtain a number, k, between 1 and m.
Finally, select for the sample those members of the population that are numbered k, kplus+m, kplus+2m,
Apply the procedure to determine the sample (that is, the numbers corresponding to the members of the population that are included in the sample), using the provided random-number table. To use the random-number table, Start at the two-digit number at the top left, read down the column, up the next, and so on.
The value of k for this sample is?
(Type a whole number.)
The sample is ?
(Type whole numbers. Use a comma to separate answers asneeded.)
b. Suppose that the random sample chosen from the random number table is 22 number chosen from the random number table is 22 (that is k=22) Determine the sample.
The sample is-
The sample is 3, 71, 139, 207, and 275.
The procedure for systematic random sampling involves first dividing the population size by the sample size and rounding the result down to the nearest whole number, m. This value of m is known as the sampling interval. For the given population size of 341 and sample size of 5, the value of m is 68.
Next, a random number, k, between 1 and m is chosen. The given random-number table contains the values 03184, 61921, 87377, 97729, and 79151. Reading the two-digit number at the top left, we get 03, which is equal to 3. Therefore, k = 3.
Finally, the sample is taken from the population in intervals of m. In this case, the sample consists of members of the population numbered 3, 71, 139, 207, and 275. Therefore, the sample is 3, 71, 139, 207, and 275.
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Es.
3
e
5. Andrew says that 60 is the greatest whole
number that rounds to 60. Is Andrew
correct? Explain your reasoning
Andrew is correct because 60 is the highest whole number that can round to 60. Any number higher than 60 will round up to a higher number. For example, 61 will round up to 70, and 62 will round up to 70. Therefore, 60 is the greatest whole number that rounds to 60.
The highest whole number is infinity, as there is no limit to how high a number can be. Whole numbers are all the numbers that are greater than or equal to 0, including 0 itself. The highest whole number is therefore infinity, as this is the highest possible number.
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Suppose that C and D are points on the number line.
If CD=9 and D lies at -15, where could C be located
CD=9, C would be between -6 and 21, and D would be at -15 since C and D are points on the number line.
what is number line ?An introduction to arithmetic tool is the number line, which is a visual depiction of real numbers. It is a representation of a strength line. Each real number is used to represent a point on the number line, and each real number is taken to signify a point. On a number line, distances between increments are equal. The question that coincides with the number will define how it is used. B: Speak your mind.
given
as by number line
C+ D = 9 -15 = -6
C - D = 9 + 15 = 21
Given that CD=9, C would be between -6 and 21, and D would be at -15 since C and D are points on the number line.
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How many kg in 40 lb?
The number of kilogram in 40 lb would be 18.1437.
What is the difference between pounds and kilograms?A pound is an imperial unit used to measure bulk or weight. A kilogram is a metric measuring unit. The letters lb and lbm stand for pounds. Kilo or kg are used to denote kilograms. 0.4535 kilograms make up one pound.
In both the British imperial system and the United States' customary system, weight is measured in pounds. Measuring a person's weight is one common application of pounds.
The weight of a kilogram is 2.2046 pounds. We convert kilograms (kg) to pounds (lb) using the formula 1 kg = 2.2 lb. By multiplying by 2.2, we may convert a kilogram to a pound. We divide by 2.2 to change a pound into a kilogram.
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what is the anwser= $200
Figure A
Save
Store
Leff's
Store
Low
Pricer
= $200
Figure B
Save
Store
Leff's
Store
Low
Pricer
In Figure A, how much did Save Store sell?
Save store sold 100/3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
In figure A there are 12 stores
Now each store sells 200/12
If save store is 2
Save store sells =200/12×2
=100/3
Hence, save store sold 100/3.
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Write equations for the vertical and horizontal lines passing through the point (8, 0)
The segment joining a vertex to the middle of
the opposite side of a triangle is called the
Select one:
O a. angle bisector
O b. altitude
c. perpendicular bisector
O d. median
-1.5(-3+4n+8.2)
What is the expanded form for this expression?
find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5x5, y = 5x, x ≥ 0; about the x-axis
The volume of the solid obtained by rotating the region bounded by the curves y = 5[tex]x^5[/tex] and y = 5x about the x-axis is -(8π/21) cubic units.
We have,
To find the volume of the solid obtained by rotating the region bounded by the curves y = 5[tex]x^5[/tex] and y = 5x about the x-axis, we can use the method of cylindrical shells.
The region bounded by the curves is between x = 0 and x = 1.
Let's consider an infinitesimally thin strip of width dx at a distance x from the y-axis.
The height of this strip will be the difference between the two curves:
(5[tex]x^5[/tex]) - (5x).
The circumference of the shell at this distance x is 2πx (since we are rotating about the x-axis).
Therefore,
The volume of this infinitesimally thin shell is given by:
dV = (2πx) x [(5[tex]x^5[/tex]) - (5x)] x dx.
To find the total volume, we integrate this expression over the interval [0, 1]:
V = ∫(0 to 1) (2πx) x [(5[tex]x^5[/tex]) - (5x)] dx.
Simplifying the expression inside the integral:
V = 2π ∫(0 to 1) [(5[tex]x^6[/tex]) - (5x²] dx.
Integrating term by term:
V = 2π [([tex]x^7[/tex])/7 - (x³)/3] evaluated from 0 to 1.
Substituting the limits of integration:
V = 2π [(([tex]1^7[/tex])/7 - (1³)/3) - (([tex]0^7[/tex])/7 - (0³)/3)].
Simplifying:
V = 2π [(1/7 - 1/3) - (0 - 0)].
V = 2π [(3 - 7)/21].
V = 2π (-4/21).
V = -(8π/21).
Therefore,
The volume of the solid obtained by rotating the region bounded by the curves y = 5[tex]x^5[/tex] and y = 5x about the x-axis is -(8π/21) cubic units.
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While playing his favorite video game, Damien sees that his character has leveled up to 70% of the maximum ranking. If he played for 56 hours to get to 70%, how many total hours will he need to play to achieve 100% rank
Answer:
Step-by-step explanation:
If Damien can get to 70% maximum ranking in 56 hours, then we can make this equation:
0.7x(representing 70%)=56 (Amount of time Damien has played)
0.7x=56
Divide 0.7 on both sides we get:
x=80
Damien will have to play 80 hours to get to 100% Rank.
which describes the pedestrian crossing sign shown?the sign is a trapezoid because exactly one pair of opposite sides is parallel.the sign is a parallelogram because both pairs of opposite sides are parallel.
The pedestrian crossing sign is a parallelogram because both pairs of opposite sides are parallel. The Second option is Correct.
A parallelogram is a quadrilateral that has two pairs of parallel sides, meaning that both sets of opposite sides are parallel. This is opposed to a trapezoid, which has only one pair of parallel sides. The pedestrian crossing sign is typically in the shape of a parallelogram, with the top and bottom sides being parallel, and the sides slanting towards each other to form a point at the top.
This design helps the sign to be easily visible from a distance and clearly recognizable as a pedestrian crossing sign. The parallel sides of the sign are an important characteristic that helps drivers and pedestrians to identify and understand the meaning of the sign.
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