Answer:
8/63
Step-by-step explanation:
(1/7)×(8/9)=8/63
yep
PLEASE HELLP ASAP!!!
The quadratic function graphed is defined as follows:
y = x² - 10x + 9.
How to define the function?We are given the roots for each function, hence the factor theorem is used to define the functions.
The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
From the graph, the roots are given as follows:
x = 1 and x = 9.
Hence the function as a product of it's linear factors is defined as follows:
y = a(x - 1)(x - 9)
y = a(x² - 10x + 9).
When x = 5, y = -16, hence the leading coefficient a is obtained as follows:
-16 = a(5² - 10(5) + 9)
-16a = -16
a = 1.
Thus the function is:
y = x² - 10x + 9.
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16. Albert was asked to find the quotient
for 63 3. He drew an array and used
the Distributive Property to find the
quotient, Show Albert's work.
Answer:
21
Step-by-step explanation:
63/3
21
I'm going to be honest, I don't know how to show the work. You wouldn't do long division because it doesn't go into decimals.
300 students took a survey on a new recycling project. The percent of students who supported the recycling project was greater than 50% but less than 75%. How many students supported the recycling project?
Answer:76
Step-by-step explanation:
):!/
Please help roght now very rushed
Answer:
c
Step-by-step explanation:
What is the approximate area of a circle with radius 6 cm?
Answer:
133 m^2
Step-by-step explanation:
to find are of a circle it’s r^2 times pi
6^2 x pi
36 pi
113 m^2
Hopes this helps please mark brainliest
Answer:
Answer C is correct
Step-by-step explanation:
The formula to find the area of a circle is:
A = πr²
Here,
r => radius = 6m
Let us find the area of the circle.
A = πr²
A = 3.14 × 6 × 6
A = 113.04 m²
Approx. = 113m²
A contractor bought 8.2^2 ft of sheet metal. has used 3.7^2 ft so far and has $90 worth of sheet metal remaining. The equation 8.2x - 3.7x = 90 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?
Answer:
$20 per square foot
Step-by-step explanation:
\(8.2x-3.7x=90 \\ \\ 4.5x=90 \\ \\ x=20\)
Find the balance in the account: $2,000 principal, earning 7% compounding semi-annually, after 25 years
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semi-annually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &25 \end{cases} \\\\\\ A = 2000\left(1+\frac{0.07}{2}\right)^{2\cdot 25}\implies A=2000(1.035)^{50} \implies A \approx 11169.85\)
A wagon is pulled with a force of 80 pounds by a handle that
makes an angle of 20° with the horizontal.
A
What is the horizontal component of the force correct to the
nearest tenth?
27.4
B
75.2
80
20°
C
76.2
D 76.4
Explanation:
The horizontal component is found using cos fxn
80 x cos 20 = 75.2 pounds
Please determine x.
Answer:
x=22.8 inches
I think T__T
Step-by-step explanation:
YES... SOMETHING I KNOW!
Use Pythagorean theroy
say 42.7=a
48.4=b
x=c
the formula is: a^2+c^2=b^2
so: 42.7^2+x^2=48.4^2
if we simplify:=1823.29+x^2=2342.56
then:519.27=x^2
It says, round to the nearest TENTH
x=22.787497
so then x would be
22.80
Please help me with this.
Here are the correct matches to the expressions to their solutions.
The GCF of 28 and 60 is 4.
(-3/8)+(-5/8) = -4/4 = -1.
-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.
The solution of 0.5 x = -1 is x = -2.
The solution of 1/2 m = 0 is m = 0.
-4 + 5/3 = -11/3.
-2 1/3 - 4 2/3 = -10/3.
4 is not a solution of -4 < x.
1. The GCF of 28 and 60 is 4.
The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:
28 = 2 x 2 x 7
60 = 2 x 2 x 3 x 5
The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.
2. (-3/8)+(-5/8) = -1.
To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.
3. -1/6 DIVIDED BY 1/2 = -1/3.
To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.
4. The solution of 0.5 x = -1 is x = -2.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.
5. The solution of 1 m = 0 is m = 0.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.
6. -4 + 5/3 = -11/3.
To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.
7. -2 1/3 - 4 2/3 = -10/3.
To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.
8. 4 is not a solution of -4 < x.
The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.
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If Joyce reads 1/6 of her book on Monday, 2/5 of her book on Tuesday, and 1/3 of her book on Wednesday, what part of her book does she read?
a. 9/10
b.1 1/10
c. 4/5
d.2/7
Answer:
9/10
Step-by-step explanation:
1. Find the least common denominator for the fractions
2. The lcd is 30
3. If 6 x 5 is 30 then you have to multiply 1 x 5 also
4. Multiply 5 x 6 also multiply 2 x 6
5. Multiply 3 x 10 also multiply 1 x 10
6. you get 27/30 when you add 5/30, 12/30, and 10/30.
7. Simplify 27/30 you get 9/10
Answer:
9/10
Step-by-step explanation:
Hello!
The easiest way to break this problem down is to ad up all of the parts, but to do that they need the same denominator!
our fractions are
1/6
2/5
1/3
Now we need to find a common multiple that these numbers have!
lets start with 6
6, 12, 18, 24, 30
Now 5
5, 10, 15, 20, 25, 30
Now 3
3, 6, 9, 12, 15, 18, 21, 24, 27, 30
They all have 30 in common!
So now we convert them so their denominator is 30!
We do this by multiplying the numerator by whatever we multiplied the denominator by to get 30!
1/6 = 1x1 6x5 = 5/30
2/5 = 2x6 5x6= 12/30
1/3 = 1x10 3x10 =10/30
Now we add!
5+12+10= 27
27/30
Now we simplify this equation
27/3= 9 30/3 = 10
9/10
So she has read 9/10 of her book!
Hope this helps!^^
PLEASE HELP ME WITH STATISTICS WORK
Answer:
The correct answer is B. With a t statistic of 1.4789 and P-value of 0.173292, fail to reject the null hypothesis that prices have not changed.
Explanation:
To determine whether there has been a significant change in prices, we need to perform a two-sample t-test with the null hypothesis that the mean difference between before and after prices is zero.
We can calculate the sample mean and standard deviation of the difference in prices as follows:
Mean difference = (0.30 - 0.31 + 0.26 + 0.04 + 0.06 + 0.14 - 0.09 - 0.02 - 0.04 + 0.07) / 10 = 0.022
Standard deviation = sqrt([sum of (differences - mean difference)^2] / (n - 1)) = sqrt((0.09 + 0.0961 + 0.0004 + 0.0016 + 0.0036 + 0.0196 + 0.0081 + 0.0004 + 0.0016 + 0.0049) / 9) = 0.112
where 'differences' are the differences between the before and after prices and 'n' is the sample size (which is 10 in this case).
Using these values, we can calculate the t statistic as:
t = (mean difference - 0) / (standard deviation / sqrt(n)) = 0.022 / (0.112 / sqrt(10)) = 1.4789
where 0 is the null hypothesis mean (i.e., no change in prices).
To determine the P-value, we need to use a two-tailed t-test with 9 degrees of freedom (n - 1). From a t-table with 9 degrees of freedom and a significance level of 0.05, the critical values are -2.306 and 2.306.
Since the calculated t statistic (1.4789) falls within this range, we fail to reject the null hypothesis that the mean difference between before and after prices is zero. This means that there is not enough evidence to suggest that the new owner has significantly changed the prices.
Therefore, the correct answer is B. With a t statistic of 1.4789 and P-value of 0.173292, fail to reject the null hypothesis that prices have not changed.
Hope this helps! Sorry if it doesn't. If you need more help, ask me! :]
Given below are descriptions of two lines.
Line 1: Goes through (-6,-3) and (0,5)
Line 2: Goes through (-6,-5) and (-3,-1)
The slope of Line 1 is m =
The slope of Line 2 is m =
Finally, which of the following is true?
O Line 1 is parallel to Line 2.
O Line 1 is perpendicular to Line 2
O Line 1 is neither parallel nor perpendicular to Line 2
Answer:
The slope of line 1 is -4/3.
The slope of line 2 is 2/3.
Line 1 is neither parallel nor perpendicular to line 2.
Step-by-step explanation:
firstly we find slope using two point formula .
The lines are said to be parallel when their slopes are equal.The lines are said to be perpendicular when the product of their slope is -1. Hence, line 1 is neither parallel nor perpendicular to line 2.
Find the perimeter for a rectangle that has an area of 2x^2+6x-8 and length of 2x-2. (Hint: First find the length)
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (-3, 1)?
Answer:
y-1= -1/3(x+3)
Step-by-step explanation:
y-y1=m(x-x1)
y-1=m(x+3)
the slope is rise over run
the slope is -1/3
Answer:
y - 1 = 3/2 (x + 3)
Step-by-step explanation:
To find the equation of a line parallel to the given line and passing through the point (-3, 1), we can use the point-slope form of a linear equation. The point-slope form is given by:
y - y₁ = m(x - x₁)
Where (x₁, y₁) is the given point and m is the slope of the line.
First, let's calculate the slope of the given line using the two points (-2, -4) and (2, 2):
slope = (y₂ - y₁) / (x₂ - x₁)
= (2 - (-4)) / (2 - (-2))
= 6 / 4
= 3/2
Since the line we want to find is parallel to the given line, it will have the same slope. Therefore, the slope (m) of the new line is also 3/2.
Now we can substitute the values into the point-slope form using the point (-3, 1):
y - 1 = (3/2)(x - (-3))
y - 1 = (3/2)(x + 3)
The equation in point-slope form of the line parallel to the given line and passing through the point (-3, 1) is:
y - 1 = 3/2 (x + 3)
PLS HELP ILL MARK BRAINLIEST!!!
Nate deposited $3 into a savings account. He then saves $2 per week. write a linear function for this situation where x = the number of weeks and y = the total amount in the account!
Answer:
y=2x+3
Step-by-step explanation:
y=mx+b
Answer:
y=$3 + $2x.
Step-by-step explanation:
y=3+2x. Make a table, at week 1 Nate has $2 + the $3 he started with. At week 2, Nate has $4 plus the $3 he started with. And so on. Plug the number of weeks in for x and solve for y for the total at any number of weeks given.
On the grid, A(-3,1), B(1,-2), and C(4,2) are connected. Kaire claims triangle ABC is a right isosceles triangle.
Answer:
Yes its an isosceles triangle but not a right angle triangle.part A:
\(\sf AB^2 = (-2-1)^2 + (1+3)^2\)
\(\sf AB^2 =25\)
\(\sf AB =5\)
\(\sf AC^2 = (2-1)^2 + (4+3)^2\)
\(\sf AC^2 = 50\)
\(\sf AC = 5\sqrt{2}\)
\(\sf BC^2 = (2--2)^2 + (4-1)^2\)
\(\sf BC^2 = 25\)
\(\sf BC = 5\)
Two sides are equal in the triangle of 5. Its an isosceles triangle.
part B:
if right angle triangle, then use the formula:
short side² + short side² = long side²
( 5√2 )² + 5² = ( 5√2 )²
75 = 50
Therefore, its not a right angle triangle.
please say the answer step by step
2(10-4)2square+8
help. use the figure shown to the right to find the value of x
Answer:
\(\begin{aligned}x &= 16\sqrt3 \\ &\approx 27.7\end{aligned}\)
Step-by-step explanation:
We can see that the longer leg (a) of a right triangle is half of the circle's radius. Since we are given the other two sides of the triangle (shorter leg and hypotenuse), we can solve for the length of the longer leg using the Pythagorean Theorem:
\(a^2 + b^2 = c^2\)
↓ plugging in the given values
\(a^2 + 2^2 = 14^2\)
↓ subtracting 2² from both sides
\(a^2 = 14^2 - 2^2\)
\(a^2 = 196 - 4\)
\(a^2 = 192\)
↓ taking the square root of both sides
\(a = \sqrt{192\)
↓ simplifying the square root
\(a = \sqrt{2^6 \cdot 3\)
\(a = 2^{\, 6 / 2} \cdot \sqrt3\)
\(a = 2^3\sqrt3\)
\(a = 8\sqrt3\)
Now, we can solve for the radius (x) using the fact that the longer leg of the triangle is half of it.
\(a = \dfrac{1}{2}x\)
↓ plugging in the a-value we solved for
\(8\sqrt3 = \dfrac{1}2x\)
↓ multiplying both sides by 2
\(\boxed{x = 16\sqrt3}\)
3.Tracie set out from Elmhurst, IL to go to Franklin Park. On the way, she made a few stops to do errands. Each stop is indicated by a red dot. Find the total distance that Tracie traveled. Compare this with the distance between her starting and final positions.
The total distance Tracy traveled was 15,000 feet assuming each unit represents 1,000 feet.
How to calculate the total distance?The total distance is the sum of all the distance between stops.
Partial distances:
Home to stop 1: 2,000 feetStop 1 to 2: 4,000 feetStop 2 to 3: 5,000 feetStop 3 to 4: 4,000 feetTotal distance: 15,000 feetHowever, the real distance would be 10.63 units based on the locations in the grid.
d=√(0−8)^2+(7−0)^2d=√8^2+7^2d=√64+49d=√113 =10.63 unitsLearn more about feets in: https://brainly.com/question/15838370
Solve the following equation and determine if it has one solution, no solution, or infinitely many solutions: 3x+1−3(x−1)=4
Answer:
1/3 , only one solution
Step-by-step explanation:
3x-1 = 1-3x
3x-1 = -3x+1
6x-1 = 1
6x = 2
x = 1/3
Answer:
Infinitely many solutions.
Step-by-step explanation:
\(3x+1-3(x-1)=4\\\\3x+1-1-3(x-1)=4-1\\\\3x-3(x-1)=3\\\\3x-3x-3=3\\\\\boxed{3=3}\)
Hope this helps.
Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles will he need? Dmitri will need [Blank] glass tiles. The dimentions are...26 , 15, 8.
The number of tiles needed to cover the surface area of the box excluding the bottom is: 1,046 tiles.
What is the Surface Area of a Box?The surface area of a box is the area surrounding all its faces. A box has 6 rectangular faces. Therefore, the total surface area of the box equals the sum of all 6 rectangular faces.
What is the Surface Area of a Box?SA = 2(lw + lh + hw), where:
l = lengthw = widthh = height of the boxThe image attached below shows the box Dmitri wants to cover. Since the bottom of the box would be excluded, therefore:
The surface area to be covered = surface area of the box - area of the bottom rectangular face
The surface area to be covered = 2(lw + lh + hw) - (l)(w)
l = 26
w = 15
h = 8
Substitute
The surface area to be covered = 2(l×w + lh + hw) - (l)(w) = 2·(15·26+8·26+8·15) - (26)(15) =
The surface area to be covered = 1436 - 390 = 1,046 cm
Area of one tile = 1 cm square
Number of tiles needed = 1,046/1
Number of tiles needed = 1,046 tiles.
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Find the zeros of each function. Part 3. Please show work.
1. f(x)= x^4 - x^3 - x^2 - x - 2
2. f(x)= x^3 - 8x^2 + 19x - 12
9514 1404 393
Answer:
real: -1, 2; complex: +i, -i1, 3, 4Step-by-step explanation:
1. The graph (red) shows the only real zeros to be -1 and 2. When the corresponding factors are divided from the function, the remaining factor is the quadratic (x^2 +1), which has only complex roots. The quadratic is graphed in green.
The linear factorization is ...
f(x) = (x +1)(x -2)(x -i)(x +i)
The roots are -1, 2, -i, +i.
__
2. The graph (blue) shows the zeros are 1, 3, 4.
You observe that the sum of coefficients is zero, so x=1 is a root. Factoring that out gives the quadratic (x^2 -7x +12), which you recognize factors as
(x -3)(x -4) . . . zeros of 3 and 4
__
I have attached a spreadsheet that does synthetic division. There are web sites that will do this, too. The tables shown correspond to f1(x)/(x-2) and f2(x)/(x-1). When you fill in the zero and coefficients, the built-in formulas do the rest.
9514 1404 393
Answer:
real: -1, 2; complex: +i, -i
1, 3, 4
Step-by-step explanation:
1. The graph (red) shows the only real zeros to be -1 and 2. When the corresponding factors are divided from the function, the remaining factor is the quadratic (x^2 +1), which has only complex roots. The quadratic is graphed in green.
The linear factorization is ...
f(x) = (x +1)(x -2)(x -i)(x +i)
The roots are -1, 2, -i, +i.
__
2. The graph (blue) shows the zeros are 1, 3, 4.
You observe that the sum of coefficients is zero, so x=1 is a root. Factoring that out gives the quadratic (x^2 -7x +12), which you recognize factors as
(x -3)(x -4) . . . zeros of 3 and 4
__ The tables shown correspond to f1(x)/(x-2) and f2(x)/(x-1).
26. Find the perimeter of the polygon.3 ina. 15 inb. 21 inc. 9 in
To find the perimeter of the regular polygon, that in this case is a pentagon, multiply 5 by the sidelength of the pentagon, it means 5 times 3.
\(\begin{gathered} P=5\cdot3 \\ P=15 \end{gathered}\)The perimeter of the polygon is 15in
A paper included the following state estimates of the total number of cancer deaths attributable to cigarette smoking.
State Number of People State Number of People
Alabama 3,283 Montana 681
Alaska 196 Nebraska 927
Arizona 3,346 Nevada 1,435
Arkansas 2,075 New Hampshire 623
California 14,789 New Jersey 4,288
Colorado 1,776 New Mexico 964
Connecticut 1,674 New York 9,396
Delaware 691 North Carolina 5,944
District of Columbia 410 North Dakota 241
Florida 12,496 Ohio 7,698
Georgia 4,916 Oklahoma 2,341
Hawaii 742 Oregon 2,043
Idaho 831 Pennsylvania 7,931
Illinois 7,014 Rhode Island 531
Indiana 4,199 South Carolina 2,962
Iowa 1,693 South Dakota 576
Kansas 1,687 Tennessee 4,513
Kentucky 3,552 Texas 10,210
Louisiana 3,144 Utah 395
Maine 927 Vermont 282
Maryland 2,900 Virginia 4,210
Massachusetts 3,665 Washington 3,398
Michigan 6,132 West Virginia 1,681
Minnesota 2,652 Wisconsin 3,181
Mississippi 1,992 Wyoming 351
Missouri 4,147
(a)
Construct a stem-and-leaf display using thousands as the stems and truncating the leaves to the hundreds digit. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)
Answer:
hi how to use a app i am new
1/2(x+6) = 2x and 5-2x =7x-h
Expression given:
\(\frac{1}{2}(x+6)=2x\)\(5-2\cdot(\frac{4}{5})=7\cdot(\frac{4}{5})-h\)Procedure:
0. Solving for ,x: ,multiplying both sides by 2
\(2\cdot\frac{1}{2}(x+6)=2x\cdot2\)\(x+6=4x\)Substracting both sides by x
How much would you need to deposit in an account in order to have $3000 in five years assume the account earns 6% interest compounded monthly
There are $2224.12 need to deposit in an account in order to have $3000 in five years.
What is future value?
Future value is the worth of a financial asset or investment on a specific future date. In other words, future value is the amount of money an investment will be worth, assuming a specific rate of return, after a specific amount of time (interest rate).
Given:
Future value = FV = $3000
Number of years = t = 5
Interest rate = r = 6% = 0.06
Compounding period = n = 12
We have to find the present value form given problem.
Consider, the Future value formula,
\(FV = PV(1 + \frac{r}{n})^n^*^t\)
Plug the values in the above formula.
\(3000 = PV(1+\frac{0.06}{12})^1^2^*^5\\ 3000 = PV(1+0.005)^6^0\\3000 = PV(1.005)^6^0\\PV = 2224.11658\)
PV = $2224.12
Hence, there are $2224.12 need to deposit in an account in order to have $3000 in five years.
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Aircraft A has 105 more seats than aircraft B. If their total number of seats is 519, find the number of seats for each aircraft.
Aircraft A has how many seats?
Aircraft A has 312 seats.
Let's assume that Aircraft B has x seats.
According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.
The total number of seats in both aircraft is 519, which can be represented by the equation:
x + (x + 105) = 519
Simplifying this equation, we have:
2x + 105 = 519
Subtracting 105 from both sides, we get:
2x = 414
Dividing both sides by 2, we find:
x = 207
Therefore, Aircraft B has 207 seats.
To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:
Aircraft A = 207 + 105 = 312
Hence, Aircraft A has 312 seats.
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The numbers of customers that visited a store each hour for several hours after the store opened at 8 am are shown in the table. Hours after 8 am 1 3 4 6 9 Number of Customers 2 15 18 13 0 Which statement best describes the data?
The statement which best describes the data given is C) The data can be modeled by a quadratic function.
Given a data,
The numbers of customers that visited a store each hour for several hours after the store opened at 8 am are shown in the table.
It is clear that the number of customers increases to 18 for the first 4 hours and then decreases to 0 after 9 hours.
So this data cannot be modeled by a linear function or an exponential function.
Also since the number of customers arriving is not constant, this cannot be expressed as constant function.
So it is quadratic function.
Hence the correct option is c.
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6. Journalise the following transactions
1. Bricks for Rs 60,000 and timber for Rs 35,000 purchased for
the construction of building. The payment was made by cheque.
2. Placed in fixed deposit account at bank by transfer from current
account Rs 13,000.
3. Appointed Mr. S.N. Rao as Accountant at Rs 300 p.m. and
Received Rs 1000 as security Deposit at 5% p.a. interest.
4. Sold goods to shruti for Rs 80,000 at 15% trade discount and
4% cash discount. Received 75% amount immediately through a
cheque.
5. Purchased goods from Richa for Rs 60,000 at 10% trade
discount and 5% cash discount. 60% amount paid by cheque
immediately.
6.
On 18th jan,Sold goods to shilpa at the list price of Rs 50,000
20% trade discount and 4% cash discount if the payment is made
within 7 days. 75% payment is received by cheque on Jan 23rd.
7. On 25th jan, sold goods to garima for Rs 1,00,000 allowed her
20% trade discount and 5% cash discount if the payment is made
within 15 days. She paid 1/4th of the amount by cheque on Feb 5th
and 60% of the remainder on 15th in cash.
8. Purchased land for Rs 2,00,000 and paid 1% as brokerage and
Rs 15,000 as registration charges on it. Entire payment is made by
cheque.
9. Goods worth Rs 25,000 and cash Rs 40,000 were taken away
by the proprietor for his personal use.
10. Sold goods costing Rs 1,20,000 to charu at a profit of 33% 3 %
on cost less 15% trade discount.
9
11. Paid rent of building Rs 60,000 by cheque. Half the building is
used by the proprietor for residential purpose.
12. Sold goods costing Rs 20,000 to sunil at a profit of 20% on
sales less 20% trade discount .
13. Purchased goods for Rs 1000 from nanda and supplied it to
helen for Rs 1300. Helen returned goods worth Rs 390, which in
turn were returned to nanda.
14. Received invoice at 10% trade discount from rohit and sons
and supplied these goods to madan, listed at Rs 3000.
1.Bricks and timber purchased for construction. (Debit: Bricks - Rs 60,000, Debit: Timber - Rs 35,000, Credit: Bank - Rs 95,000)
2.Transfer of Rs 13,000 to fixed deposit account. (Debit: Fixed Deposit - Rs 13,000, Credit: Current Account - Rs 13,000)
3.Appointment of Mr. S.N. Rao as Accountant. (Debit: Salary Expense - Rs 300, Debit: Security Deposit - Rs 1,000, Credit: Accountant - Rs 300)
4.Goods sold to Shruti with discounts. (Debit: Accounts Receivable - Shruti - Rs 80,000, Credit: Sales - Rs 80,000)
5.Goods purchased from Richa with discounts. (Debit: Purchases - Rs 60,000, Credit: Accounts Payable - Richa - Rs 60,000)
6.Goods sold to Shilpa with discounts and received payment. (Debit: Accounts Receivable - Shilpa - Rs 50,000, Credit: Sales - Rs 50,000)
7.Goods sold to Garima with discounts and received partial payment. (Debit: Accounts Receivable - Garima - Rs 1,00,000, Credit: Sales - Rs 1,00,000)
8.Purchase of land with additional charges. (Debit: Land - Rs 2,00,000, Debit: Brokerage Expense - Rs 2,000, Debit: Registration Charges - Rs 15,000, Credit: Bank - Rs 2,17,000)
9.Proprietor took goods and cash for personal use. (Debit: Proprietor's Drawings - Rs 65,000, Credit: Goods - Rs 25,000, Credit: Cash - Rs 40,000)
10.Goods sold to Charu with profit and discount. (Debit: Accounts Receivable - Charu - Rs 1,20,000, Credit: Sales - Rs 1,20,000)
11.Rent paid for the building. (Debit: Rent Expense - Rs 60,000, Credit: Bank - Rs 60,000)
12.Goods sold to Sunil with profit and discount. (Debit: Accounts Receivable - Sunil - Rs 24,000, Credit: Sales - Rs 24,000)
13.Purchased goods from Nanda and supplied to Helen. (Debit: Purchases - Rs 1,000, Debit: Accounts Payable - Nanda - Rs 1,000, Credit: Accounts Receivable - Helen - Rs 1,300, Credit: Sales - Rs 1,300)
14.Purchased goods from Rohit and Sons and supplied to Madan. (Debit: Purchases - Rs 2,700, Credit: Accounts Payable - Rohit and Sons - Rs 2,700, Debit: Accounts Receivable - Madan - Rs 3,000, Credit: Sales - Rs 3,000)
Here are the journal entries for the given transactions:
1. Bricks and timber purchased for construction:
Debit: Bricks (Asset) - Rs 60,000
Debit: Timber (Asset) - Rs 35,000
Credit: Bank (Liability) - Rs 95,000
2. Transfer to fixed deposit account:
Debit: Fixed Deposit (Asset) - Rs 13,000
Credit: Current Account (Asset) - Rs 13,000
3. Appointment of Mr. S.N. Rao as Accountant:
Debit: Salary Expense (Expense) - Rs 300
Debit: Security Deposit (Asset) - Rs 1,000
Credit: Accountant (Liability) - Rs 300
4. Goods sold to Shruti:
Debit: Accounts Receivable - Shruti (Asset) - Rs 80,000
Credit: Sales (Income) - Rs 80,000
5. Goods purchased from Richa:
Debit: Purchases (Expense) - Rs 60,000
Credit: Accounts Payable - Richa (Liability) - Rs 60,000
6. Goods sold to Shilpa:
Debit: Accounts Receivable - Shilpa (Asset) - Rs 50,000
Credit: Sales (Income) - Rs 50,000
7. Goods sold to Garima:
Debit: Accounts Receivable - Garima (Asset) - Rs 1,00,000
Credit: Sales (Income) - Rs 1,00,000
8.Purchase of land:
Debit: Land (Asset) - Rs 2,00,000
Debit: Brokerage Expense (Expense) - Rs 2,000
Debit: Registration Charges (Expense) - Rs 15,000
Credit: Bank (Liability) - Rs 2,17,000
9. Goods and cash taken away by proprietor:
Debit: Proprietor's Drawings (Equity) - Rs 65,000
Credit: Goods (Asset) - Rs 25,000
Credit: Cash (Asset) - Rs 40,000
10. Goods sold to Charu:
Debit: Accounts Receivable - Charu (Asset) - Rs 1,20,000
Credit: Sales (Income) - Rs 1,20,000
Credit: Cost of Goods Sold (Expense) - Rs 80,000
Credit: Profit on Sales (Income) - Rs 40,000
11. Rent paid for the building:
Debit: Rent Expense (Expense) - Rs 60,000
Credit: Bank (Liability) - Rs 60,000
12. Goods sold to Sunil:
Debit: Accounts Receivable - Sunil (Asset) - Rs 24,000
Credit: Sales (Income) - Rs 24,000
Credit: Cost of Goods Sold (Expense) - Rs 20,000
Credit: Profit on Sales (Income) - Rs 4,000
13. Goods purchased from Nanda and supplied to Helen:
Debit: Purchases (Expense) - Rs 1,000
Debit: Accounts Payable - Nanda (Liability) - Rs 1,000
Credit: Accounts Receivable - Helen (Asset) - Rs 1,300
Credit: Sales (Income) - Rs 1,300
14. Goods received from Rohit and Sons and supplied to Madan:
Debit: Purchases (Expense) - Rs 2,700 (after 10% trade discount)
Credit: Accounts Payable - Rohit and Sons (Liability) - Rs 2,700
Debit: Accounts Receivable - Madan (Asset) - Rs 3,000
Credit: Sales (Income) - Rs 3,000
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