Therefore , the solution of the given problem of probability comes out to be pizza won't be a cheese pizza is roughly 0.7089, or 70.89%.
What exactly is probability?Any considerations technique's fundamental objective is to determine the likelihood that a claim is true or that a particular incident will take place. Any number range from one to one, when 0 traditionally signifies a percentage and 1 typically implies the degree of certainty, can be used to represent chance. A probability illustration shows the likelihood that a particular event will occur.
Here,
The total number of pizzas made yesterday can be determined using the information provided as follows:
2121 cheese pizzas total.
Pizzas with vegetables: 1414
2323 pepperoni pizzas total.
1414 sausage pizzas were consumed.
Total pizzas produced were
=>2121 + 1414 + 2323 + 1414 = 7272.
Therefore, there were 2121 cheese pizzas prepared yesterday out of a total of 7272 pizzas.
The likelihood that the following pizza will be a cheese pizza is calculated as follows:
=> 2121 / 7272
The likelihood that the next pizza prepared won't be a cheese pizza is thus:
=> 1 - (2121 / 7272) = 5151 / 7272
Therefore, a conservative estimate of the likelihood that the following pizza won't be a cheese pizza is roughly 0.7089, or 70.89%.
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You pick a card at random.
4567
What is P(odd or less than 5)?
Answer:
9/13
Step-by-step explanation:
P(odd or less than 5) = number of odd cards + number of cards less than 5 / total number of cards
P(odd or less than 5) = (20 + 16) / 52
P(odd or less than 5) = 36 / 52
P(odd or less than 5) = 9 / 13
Therefore, the probability of picking an odd card or a card less than 5.
Answer is 9/13
Please HELPP IM IN URGE
I'll Give BRAINLIEST
The measure of arc angle QT is determined as 142 ⁰.
The measure of m∠STR is determined as 23⁰.
What is the measure of arc angle QT?The measure of angle subtended by the arc QT is calculated by applying the following formula.
Based on the angle of intersecting chord theorem, we will have the following equation.
The measure of m∠STR is calculated as;
m∠STR = ¹/₂( arc SR )
m∠STR = ¹/₂ x 46⁰
m∠STR = 23⁰
The measure of arc QT is calculated as;
m∠QST = ¹/₂( arc QT )
arc QT = 2 (m∠QST)
arc QT = 2 x 71⁰
arc QT = 142⁰
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Write as a logarithm with a base of 4. -4
Answer:
4 cannot be written as a logarithm with a base of 4. A logarithm is an exponent that tells us how many times we need to multiply a base by itself to get a certain number. For example, log2(8) = 3 because 2^3 = 8. We can write this as an equation: logb(x) = y means b^y = x.
-4 cannot be written as a logarithm with a base of 4 because there is no exponent that can make 4 equal to -4. In other words, there is no y such that 4^y = -4. This is because any positive number raised to any power will always be positive. Therefore, log4(-4) is undefined or does not exist.
Therefore, -4 cannot be written as a logarithm with a base of 4.
Step-by-step explanation:
Find the surface area
Round to the nearest tenth
Jenny mixed 4 kg of mixed nuts containing 16% peanuts with 12 kg of mixed nuts containing 40% peanuts. What percent of the new mixture if peanuts?
A. 34%
B. 17%
C. 13%
The new mixture contains 34% peanuts.
How to calculate percent of the new mixture if peanutsUsing a weighted average approach.
Let x be the percentage of peanuts in the new mixture. Then we can set up the following equation:
(0.16)(4) + (0.40)(12) = x(4 + 12)
simplifying the equation, we get:
0.64 + 4.8 = 16x
5.44 = 16x
x = 0.34 or 34%
Therefore, the new mixture contains 34% peanuts.
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Please help solving this
Quite urgent, thanks :)
The measure of arc angle QT is determined as 142 ⁰.
The measure of m∠STR is determined as 23⁰.
What is the measure of arc angle QT?The measure of angle subtended by the arc QT is calculated by applying the following formula.
Based on the angle of intersecting chord theorem, we will have the following equation.
m∠QST = ¹/₂( arc QT )
arc QT = 2 (m∠QST)
arc QT = 2 x 71⁰
arc QT = 142⁰
m∠STR = ¹/₂( arc SR )
m∠STR = ¹/₂ x 46⁰
m∠STR = 23⁰
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Find the surface area of the figure. Round to the nearest hundredth when necessary.
The surface area of the cylinder is approximately 3015.93square inches when rounded to the nearest hundredth.
What is the Surface Area of a Cylinder?To find the surface area of a cylinder, we need to add the areas of the top and bottom circles, and the area of the lateral surface, which is the curved part of the cylinder.
The formula for the surface area of a cylinder is:
S.A. = 2πr² + 2πrh
where r is the radius of the cylinder, h is the height, and π is approximately equal to 3.14.
Given that the diameter is 32 inches, we can find the radius by dividing by 2:
r = d/2 = 32/2 = 16 inches
Now we can substitute the values into the formula and simplify:
S.A. = 2πr² + 2πrh
S.A. = 2π(16)² + 2π(16)(14)
S.A. = 2π(256) + 2π(224)
S.A. = 512π + 448π
S.A. = 960π
To approximate the answer to the nearest hundredth, we can use the value of π rounded to two decimal places (3.14):
S.A. ≈ 960(3.14)
S.A. ≈ 3015.93 square inches
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The surface area of the cylinder figure is derived to be equal to 3014.40 square inches rounded to the nearest hundredth.
How to evaluate the surface area of a cylinderThe surface area of a cylinder can be calculated using the formula:
Surface Area = 2πr² + 2πrh
Where r is the radius of the base of the cylinder, h is the height of the cylinder, and π (pi) is a mathematical constant approximately equal to 3.14159.
From the figure we have that:
r = 16 in
h = 14 in
surface area = 2 × 3.14 × 16 in × 16 in + 2 × 3.14 × 16 in × 14 in
surface area = 1607.68 in² + 1406.72 in²
surface area = 3014.40 in²
Therefore, the surface area of the cylinder figure is derived to be equal to 3014.40 square inches rounded to the nearest hundredth.
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I need help with this
Answer: B
Step-by-step explanation: You can subtract 21 from 245 11 times but some will remain
A 20 litre solution is 85% paint and 15% thinner. Five litres of thinner is added to this solution.
What percentage of the new solution is PAINT?
Answer: 35% of thinner will be in total after the five litres is added so 85%-25% is 60% Therefore ur answer is 60%
Step-by-step explanation:
The radius of the wheel is 1.2 feet. What is the distance traveled when the wheel turns 20 time?
The distance traveled by the wheel when it turns 20 times is 150.7964 feet.
What is circumference?
The circumference of a wheel can be calculated as:
Circumference = 2 x π x radius
where π (pi) is a mathematical constant approximately equal to 3.14159.
The distance traveled by a wheel when it turns is equal to the circumference of the wheel multiplied by the number of times it turns.
Given that the radius of the wheel is 1.2 feet, the circumference of the wheel is:
Circumference = 2 x π x radius
Circumference = 2 x 3.14159 x 1.2
Circumference = 7.53982 feet (rounded to 5 decimal places)
Therefore, each time the wheel turns, it travels a distance of 7.53982 feet. To find the distance traveled when the wheel turns 20 times, we can multiply the distance traveled each time by the number of times the wheel turns:
Distance traveled = Circumference x Number of turns
Distance traveled = 7.53982 feet x 20
Distance traveled = 150.7964 feet (rounded to 4 decimal places)
Therefore, the distance traveled by the wheel when it turns 20 times is 150.7964 feet.
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From a standard deck of 52 cards, in how many ways can 7 cards be drawn?
there are 133,784,560 ways to draw 7 cards from a standard deck of 52 cards.
How to solve the question?
The number of ways to draw 7 cards from a standard deck of 52 cards can be calculated using the combination formula, which is:
C(52, 7) = 52! / (7! * (52-7)!)
where "!" represents the factorial function.
To simplify this expression, we can use the property that n! / k! = n * (n-1) * (n-2) * ... * (n-k+1) for positive integers n and k such that k ≤ n.
Using this property, we can rewrite the above expression as:
C(52, 7) = (52 * 51 * 50 * 49 * 48 * 47 * 46) / (7 * 6 * 5 * 4 * 3 * 2 * 1)
Simplifying this expression, we get:
C(52, 7) = 133,784,560
Therefore, there are 133,784,560 ways to draw 7 cards from a standard deck of 52 cards.
To understand why this is the case, we can think of each draw as a separate event with no replacement. The first card can be drawn in 52 ways, the second card can be drawn in 51 ways (since one card has already been drawn), the third card can be drawn in 50 ways (since two cards have already been drawn), and so on. Therefore, the total number of ways to draw 7 cards is the product of the number of ways to draw each individual card, which is 52 * 51 * 50 * 49 * 48 * 47 * 46. However, since the order in which the cards are drawn does not matter, we need to divide by the number of ways to arrange 7 cards, which is 7 * 6 * 5 * 4 * 3 * 2 * 1 (i.e., 7 factorial). This gives us the final answer of 133,784,560.
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HELP ASAP!!
A company sends every item of mail by second class post.
Each item of mail is either a letter or a packet.
The tables show information about the cost of sending a letter by second class post and the cost of sending a packet by second class post.
Letter
Packet
Weight range
Second Class
Weight range
Second Class
0 – 100 g
61p
0 – 100 g
£1.17
101 – 250 g
£1.51
251 – 500 g
£1.95
501 – 750 g
£2.36
751 – 1000 g
£2.84
Worked example
The company sent 1225 items by second class post.
The ratio of the number of letters sent to the number of packets sent was 8:27
fraction numerator 2 over denominator 7 end fractionof the packets sent were in the weight range 0 – 100 g.
The other packets sent were in the weight range 101 – 250 g.
Work out the total cost of sending the 1225 items by second class post.
Calculation
The total number of items sent was 1225, to proportion the items according to the ratio we first need to work out how many items there are in 1 part of the ratio. So in this example the ratio is 8:27 so there are a total of 8 + 27 = 35 parts.
So, dividing 1225 by 35 will give us the number of items per part of the ratio
1225 over 35 equals 35
We can now multiply each part of the ratio by the number of items per part to give us the number of letters and packets
letters = 35 space cross times space 8 space equals
Total Letters =
Answer for part 1
packets = 35 space cross times space 27 space equals
Total Packets =
Answer for part 2
For the next part of the question we need to work out the total cost of sending all the items. We can easily work out the cost of the letters, as we know how many we have and that the cost is 61p
How much does it cost to send all the letters?
Cost to send all letters = £
Answer for part 3
We know that the ratio of small to large packets is 2:7, so to calculate the number of small packets we need to first work out the number of parts of the ratio adding 2 and 7 together
This gives us 2+7=9
We can now multiply each part of the ratio by the number of items per part to give us the number of small and large packets
For small packets fraction numerator 2 over denominator 9 end fraction
No. packets 0 - 100g =
Answer for part 4
For large packets fraction numerator 7 over denominator 9 end fraction
No. packets 101 - 250g =
Answer for part 5
We can now use these figures to calculate the cost for each type of packet
Cost of packets 0 - 100g =£
Answer for part 6
Cost of packets 101 - 250g =£
Answer for part 7
And we can now calculate the total cost of letters and packets
Total cost of letters and packets =£
Answer for part 8
Tje number of items in the ratio 8:27, proportioned according to the total number of items sent (1225), is 280 items in the 8 part and 945 items in the 27 part.
How to calculate the valueTo find out how many items there are in 1 part of the ratio, we need to add together the two parts of the ratio. In this case, 8+27 = 35.
To proportion the items according to the ratio, we need to divide the total number of items (1225) by the number of parts in the ratio (35).
This gives us:
1 part of the ratio = 1225 / 35 = 35
To find out how many items there are in each part of the ratio, we need to multiply this value by the corresponding part of the ratio.
For the part that corresponds to 8, we have:
8 parts of the ratio = 8 x 35 = 280 items
For the part that corresponds to 27, we have:
27 parts of the ratio = 27 x 35 = 945 items
Therefore, the number of items in the ratio 8:27, proportioned according to the total number of items sent (1225), is 280 items in the 8 part and 945 items in the 27 part.
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I need help with this Regression question!
A quadratic model for the data is y = -0.0076x² + 0.6915x + 14.711.
The fuel economy at 80 mph is 21.39.
How to determine the linear regression equation and correlation coefficient?In this scenario, the speed (x) would be plotted on the x-axis of the scatter plot while the fuel economy (y) would be plotted on the x-axis of the scatter plot.
By critically observing the scatter plot (see attachment) which models the relationship between the speed (x) and fuel economy (y), a quadratic model for the line of best fit is given by:
y = -0.0076x² + 0.6915x + 14.711
When the speed (x) = 80 mph, the fuel economy (y) is given by;
y = -0.0076(80)² + 0.6915(80) + 14.711
y = 21.39
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100 Points! Two multiple choice algebra questions. Photo attached. Thank you!
State the domain and range of the function.
Stats the end behavior of the function.
Answer:
7.D
8.A
Step-by-step explanation:
For the function f(x) = √x+2+5:
(D) D= {x|x≥2}, R= {y|y≥5}
The domain is restricted to x values greater than or equal to 2 because the function contains the square root of x+2, which cannot be negative. The range starts at y = 5 because the lowest possible output of the function is √2+2+5 = 5.
(A) f(x)+∞o as x→ +∞o; f(x) +∞ as x――∞
As x approaches positive infinity, the output of the function approaches infinity as well. As x approaches negative infinity, the function is undefined since it involves taking the square root of negative numbers. However, the limit of the function as x approaches negative infinity from the right is positive infinity.
Write a formula for the nth term of each sequence. first term 7 and common difference 15
As a result, a = 7 + (n - 1) * 15 is the formula for the nth term of the series with first term 7 and common difference.
what is sequence ?An ordered set of number with a pattern or rule regulating their values is referred to as a sequence in mathematics. A word is used to characterize each number in a sequence. There are many various kinds of sequences, but a few of the most popular ones are as follows: A common differential, or constant number, is added to the respective period to produce an arithmetic series, each term of which is obtained. One arithmetic series with a following differences of three is 1, 4, 7, 10, 13, etc.
given
Given an arithmetic series with a first term (a1) and a common difference (d), the formula for the nth term (an) is as follows:
[tex]a = a1 + (n - 1) * d[/tex]
In this instance, the common difference (d) is 15, and the first term (a1) is 7. When these values are added to the formula, we obtain:
[tex]a = 7 + (n - 1) * 15[/tex]
As a result, a = 7 + (n - 1) * 15 is the formula for the nth term of the series with first term 7 and common difference.
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How many lines of symmetry does a rhombus have
Answer: 2
Step-by-step explanation:
Answer:
2 lines of symmetry.
If the width of a rectangle with perimeter P is 6 units, what is its length?
If the width of a rectangle with perimeter P is 6 units, its length would be equal to L = P/2 - 6.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(L + 6)
P = 2L + 12
P - 12 = 2L
L = (P - 12)/2
L = P/2 - 6.
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Mohawk Skywalkers are iron workers who helped build skyscrapers, bridges, and other structures for over 120 years. Which of the following is a statistical question about the Mohawk Skywalkers?
A. How many construction sites has each of the current Mohawk Skywalkers worked on in their lifetime?
B. How many New York City skyscrapers were built with the help of Mohawk Skywalkers?
C. How many generations of the Martin family have worked as Mohawk Skywalkers?
D. How many Mohawk Skywalkers helped build the Empire State Building?
How many construction sites has each of the current Mohawk Skywalkers worked on in their lifetime? is a statistical question about the Mohawk Skywalkers. Option A.
What are statistical questions?A statistical question is a question that can be answered by collecting and analyzing data. It involves variability and asks about the distribution of a population, rather than just a single value or specific instance.
Option A is a statistical question because it asks about the variability of the number of construction sites each of the current Mohawk Skywalkers worked on in their lifetime.
Option B is also a statistical question as it asks about the distribution of New York City skyscrapers built with the help of Mohawk Skywalkers.
Option C is not a statistical question because it asks for a specific value, the number of generations of the Martin family who have worked as Mohawk Skywalkers, which does not involve variability or a population.
Option D is not a statistical question as it asks for a specific value, the number of Mohawk Skywalkers who helped build the Empire State Building, which does not involve variability or a population.
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Use the definition of Ax
to write the vector equation as a matrix equation.
The vector equation written as a matrix equation is enter your response here
.
If the vector is drawn from (0,0) to (5, -1), the outcome vector is drawn.
Describe vector?A mathematical concept known as a vector has both a magnitude and a direction. Physical quantities like force, velocity, and acceleration are represented by it. In the physical sciences, engineering, and computer graphics, vectors are frequently employed. They can also be used to represent abstract concepts like magnitude, directions, and other things.
Here in the question,
(0, 0) is the beginning position. There should be an arrow above each vector name listed below.
Ink a line beginning at (3, -1). A vector has an origin of (0,0) and a destination of (3, -1).
Put a line through points (2,2). The vector B has a start point of (0, 0) and an end point of (2, 2).
These two vectors add up to: a + b = (3-1) + (2,2) = (5,1) when combined.
Whatever order they are in, b + a = (2,2) + (3, -1) = (5,1) regardless.
Either way, the same conclusion is reached.
The terminal point of A + B is at (5, 1).
If the vector is drawn from (0,0) to (5, -1), the outcome vector is drawn.
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pls help thank u i dont no what im doing
Answer:5,4
Step-by-step explanation:
please help me answer this
The ice rink is 14.42 units away from the origin and other solutions are added below
Completing the table of valuesFirst, we have the library at (7,8), which is 7 units to the right of the origin and 8 units up from the origin.
Next, we have the market at (3,6), which is 4 units to the left of the library (7-4=3) and 2 units down from the library (8-2=6).
Then, we have the bank at (3,8), which has the same x-coordinate as the market (3) and a y-coordinate of 8.
We have the school at (10,8), which has the same y-coordinate as the bank (8) and an x-coordinate of 10.
The pool is located at (7,3), which is 5 units down from the school (8-5=3) and 3 units to the left from the school (10-3=7).
Finally, the park is located at (7,1), which has the same x-coordinate as the pool (7) and a y-coordinate of 1.
The completed table is:
Point Ordered Pair (x, y)
Library (7,8)
Market (3,6)
Bank (3,8)
School (10,8)
Pool (7,3)
Park (7,1)
Bao's movements and distancesBao's new location can be found by moving 5 blocks down from his current location of (3,13) and then 2 blocks right.
This gives us the new coordinates of (5,8) for Boo.
The new location is 5 units right and 8 units up of the origin
To get to the baseball diamond, he traveled 3 blocks to the right from his starting point (3 - 3 = 0) and 8 blocks down (15 - 8 = 7), which gives us the new coordinates of (3, 15) for the baseball diamond.
Bao's starting point was (0, 7).
Bao's starting point can be found by moving 5 blocks to the left from his current location of (14, 13) and then 10 blocks down.
This gives us the new coordinates of (9,3) for Bao's starting point.
The distance between the ice rink and the origin can be found using the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, we have:
d = √((12 - 0)^2 + (8 - 0)^2) = √(144 + 64) = √(208) ≈ 14.42
So the ice rink is approximately 14.42 units away from the origin.
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Solve the system of equations using substitution. y = 3x y = 6x + 3 (2, 15) (1, 3) (−1, −3) (−2, −6)
We are given the system of equations:
y = 3x
y = 6x + 3
We can use substitution to solve this system. Since both equations are equal to y, we can set them equal to each other:
3x = 6x + 3
Subtracting 3x from both sides, we get:
0 = 3x + 3
Subtracting 3 from both sides, we get:
-3 = 3x
Dividing both sides by 3, we get:
x = -1
Now that we know x, we can use either equation to find y. Let's use the first equation:
y = 3x = 3(-1) = -3
Therefore, the solution to the system of equations is (-1, -3).
To check our solution, we can substitute these values back into both equations:
y = 3x gives us -3 = 3(-1), which is true
y = 6x + 3 gives us -3 = 6(-1) + 3, which is also true
Therefore, our solution is correct.
We can also plug in the other given points to check that they do not satisfy both equations, which means they are not solutions to the system.
can you answer these two questions
The confidence interval can be expressed as a trilinear inequality: 82.9% < p < 95.7%.
The confidence interval in interval form is (0.1864, 0.3026).
How to calculate confidence interval?The given confidence interval, 89.3% ± 6.4%, means that we are 89.3% confident that the true value of the population parameter lies within a range of 6.4% above and below the sample estimate.
To express this in the form of a trilinear inequality, first find the upper and lower bounds of the interval.
Upper bound = 89.3% + 6.4% = 95.7%
Lower bound = 89.3% - 6.4% = 82.9%
Therefore, the confidence interval 89.3% ± 6.4% can be expressed in the form of a trilinear inequality as:
82.9% < p < 95.7%
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Cuantos subconjuntos tiene A={a, r, i, t, m, e, t, i, c, a}
The number of subsets that the set has are 128 subsets.
How to find the number of subsets?First, let's remove the duplicates from the set A. The distinct elements in set A are:
A = {a, r, i, t, m, e, c}
Now, we can find the number of subsets. For each element in the set, we have two choices: either it is included in the subset, or it is not. Therefore, there are 2^n subsets for a set with n distinct elements.
In our case, n = 7, so there are 2^7 = 128 subsets for the given set A.
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4x4x4x5x5 (I’ve tried 4^3 x 5^2 and it’s not write)
Answer:
1600
Step-by-step explanation:
The answer you tried is equivalent.
Find the number of different arrangements of the 8 letters in the word DECEIVED, in which two Ds are together and the three Es are not all together (i.e. maximum two Es next to each other).
The eight letters in the word DECEIVED may be arranged in 4200 distinct ways, with two Ds grouped together and three Es not all together.
The following approach may be used to determine how many different ways there are for the eight letters in the word DECEIVED to be arranged such that two Ds are together and three Es are not altogether:
Treat the two Ds as a single object, which we can call DD. Now we have 7 objects to arrange: DD, E, E, C, V, I, and E.First, we count the total number of arrangements of these 7 objects, without considering any restrictions. This is simply the number of permutations of 7 objects, which is 7! = 5040.Next, we count the number of arrangements in which the three Es are all together. We can treat the three Es as a single object, which we can call EEE. Now we have 6 objects to arrange: DD, EEE, C, V, I, and an extra E. The number of arrangements of these objects is 6!, since we can treat the EEE as a single object.However, we have overcounted the arrangements in which the two Es are together with the EEE object. To correct for this, we can treat the two Es as a single object, which we can call EE. Now we have 5 objects to arrange: DD, EEE, EE, C, V, and I. The number of arrangements of these objects is 5!, since we can treat the EEE and EE as single objects.Therefore, the number of arrangements in which the three Es are not all together is the difference between the total number of arrangements and the number of arrangements in which the three Es are all together, minus the number of arrangements in which the two Es are together with the EEE object:7! - 6! - 5! = 5040 - 720 - 120 = 4200
Therefore, there are 4200 different arrangements of the 8 letters in the word DECEIVED, in which two Ds are together and the three Es are not all together.
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Entries for Sale of Fixed Asset
Equipment acquired on January 8 at a cost of $212,000 has an estimated useful life of 15 years, has an estimated residual value of $14,000, and is depreciated by the straight-line method.
a. What was the book value of the equipment at December 31 the end of the fifth year?
b. Assume that the equipment was sold on April 1 of the sixth year for $105,800.
1. Journalize the entry to record depreciation for the three months until the sale date.
2. Journalize the entry to record the sale of the equipment.
The journal entry to record the sale of the equipment would be:Cash $105,800,Loss on Sale of Equipment $35,650,Equipment $212,000
Accumulated Depreciation $66,000
How to solve the question?
a. To calculate the book value of the equipment at December 31 of the fifth year, we need to determine the accumulated depreciation for the first five years. The annual depreciation expense is calculated as follows:
Depreciation Expense = (Cost - Residual Value) / Useful Life
Depreciation Expense = ($212,000 - $14,000) / 15
Depreciation Expense = $13,200 per year
The accumulated depreciation for five years is therefore:
Accumulated Depreciation = Depreciation Expense x Number of Years
Accumulated Depreciation = $13,200 x 5
Accumulated Depreciation = $66,000
The book value of the equipment at December 31 of the fifth year is calculated as follows:
Book Value = Cost - Accumulated Depreciation
Book Value = $212,000 - $66,000
Book Value = $146,000
b.
To record depreciation for the three months until the sale date, we need to calculate the depreciation expense for the sixth year. The annual depreciation expense remains the same at $13,200, but since the equipment was sold on April 1, we need to prorate the depreciation for the first three months of the year.
Depreciation Expense for the Sixth Year = Depreciation Expense x (Months Remaining / 12)
Depreciation Expense for the Sixth Year = $13,200 x (9 / 12)
Depreciation Expense for the Sixth Year = $9,900
The journal entry to record depreciation for the three months until the sale date would be:
Depreciation Expense $9,900
Accumulated Depreciation $9,900
To record the sale of the equipment, we need to compare the sale price to the book value of the equipment at the time of the sale.
The book value of the equipment at the time of the sale is calculated as follows:
Book Value = Cost - Accumulated Depreciation
Book Value = $212,000 - ($13,200 x 5.25)
Book Value = $141,450
Since the sale price of $105,800 is less than the book value of $141,450, we need to record a loss on the sale of the equipment. The journal entry to record the sale of the equipment would be:
Cash $105,800
Loss on Sale of Equipment $35,650
Equipment $212,000
Accumulated Depreciation $66,000
The cash received from the sale is debited, and the difference between the sale price and the book value is recorded as a loss on the sale of the equipment. The equipment and its accumulated depreciation are removed from the books.
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Which of the following is equivalent to the quantity two thirds end quantity to the power of 2 times x?
the quantity four thirds end quantity to the power of x
the quantity four sixths end quantity to the power of x
the quantity four ninths end quantity to the power of x
the quantity three halves end quantity to the power of x
The equivalent expressions is solved to give the quantity four ninths end quantity to the power of x. Option C
What is an algebraic expression?An algebraic expression can be described as an expression that is made up of terms, factors, coefficient, variables and constants.
These expressions are also composed of mathematical operations.
Also note that index forms are mathematical forms used to represent numbers too large or too small.
From the information given, we have that;
(2/3)²⁽ˣ⁾
expand the bracket, we get;
(2/3)²ˣ
Find the square of both the numerator and denominator, we get;
(4/9)ˣ
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a rectangular field has a perimeter of 400 yards the length of the field is 3 times the width what is the length of the field and what is the width of the field
The field's length is therefore three times its breadth, or 3(50), or 150 yards, and its width is 50 yards.
what is perimeter ?A this double shape's perimeter is the space encircling its outside edge. It is the length of the object's sides. As an illustration, the perimeter of a rectangle is equivalent to the total of its four sides' lengths.
given
Assume that the rectangular field has a width of "x" yards.
The problem states that the field's length is three times its breadth, or three times yards.
The lengths of all the sides make up the rectangle's perimeter, therefore we can write:
[tex]Perimeter = 2 (length + width).[/tex]
In place of the values we hold:
[tex]400 = 2(3x + x)\\400 = 2(4x) (4x)\\400 = 8x\\x = 50[/tex]
The field's length is therefore three times its breadth, or 3(50), or 150 yards, and its width is 50 yards.
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HELPP PLEASE ANSWER :)brainless! In Urge
I'll give brainliest!
1. The value of Angle STR is 19°
2. The value of arc ST is 134°
What Is circle geometry?A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.
Part of circle theorem states that: The angle in the same segment are equal.
1. Therefore the value of angle STR is calculated as;
= 180- ( 90+71)
= 180- 161
= 19°
2. The value of arc ST is calculated as;
Since arc SR = QR = 46°
representing the value of arc ST by x
therefore,
46+46+x+x = 360
92 +2x = 360
2x = 360-92
2x = 268
divide both sides by 2
x = 268/2
x = 134°
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