The expected value of the machine after 6 years is approximately $4086.
To find the value of the machine after each year, we can use the formula:
Vn = V0 x (1 - r)ⁿ
where Vn is the value of the machine at the end of year n, V0 is the initial value of the machine, r is the depreciation rate (0.20 in this case), and n is the number of years.
For the first year, we have:
V1 = 25000 x (1 - 0.20)¹ = 20000
For the second year, we have:
V2 = 25000 x (1 - 0.20)² = 16000
Continuing this pattern, we find that the value of the machine at the end of the sixth year is:
V6 = 25000 x (1 - 0.20)⁶ = 4085.76
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a nation had a birth rate of 20 in 1990. the rate fell to 13 in 2000. what was the percentage change?
The percentage change in the birth rate of a nation from 1990 to 2000 is -35%.
Percentage change is the relative difference between two values expressed as a percentage of one of the values, where the value of the latter is used as the reference point.
It can be calculated by using the following formula:
Percentage change = ((new value - old value) / old value) x 100
Given the birth rate of a nation in 1990 as 20 and the birth rate in 2000 as 13, the percentage change can be calculated as follows: Percentage change = ((13 - 20) / 20) x 100= (-7 / 20) x 100= -0.35 x 100= -35%
Hence, the percentage change is -35%.
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Which of the following ordered pairs represents the point plotted and labeled A?
The x-axis starts at negative 4 with tick marks every unit up to positive 4. The y-axis starts at negative 4 with tick marks every unit up to positive 4. Point D is three units left of the origin. Point A is three units left and three units up from the origin. Point C is three units left and three units down from the origin. Point F is two units up from the origin. Point B is two units right and three units up from the origin. Point E is three units right and two units down from the origin.
(−3, −3)
(−3, 3)
(3, −3)
(3, 3)
Point A is three units left and three units up from the origin, so its coordinates are (-3, 3). Therefore, the correct answer is option 2) (-3, 3).
The topic of coordinate geometry involves the use of the Cartesian plane, also known as the coordinate plane or xy-plane, to graph and analyze relationships between points, lines, and shapes. The plane consists of two perpendicular number lines called the x-axis and the y-axis.
The origin, denoted by the point (0, 0), is the point where the two axes intersect. Points on the plane are represented by ordered pairs of numbers (x, y), where x is the distance from the y-axis and y is the distance from the x-axis. Lines on the plane can be represented by their slope and y-intercept, while shapes like circles, rectangles, and triangles can be graphed and analyzed using their respective formulas.
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Answer: (−3, −3)
Step-by-step explanation:
Assume that TDW Corporation (calendar year-end) has 2022 taxable income of $650,000 for purposes of computing the §179 expense. The company acquired the following assets during 2022: (Use MACRS Table 1, Table 2, Table 3, Table 4 and Table 5. ) Asset Placed in Service Basis Machinery September 12 $ 2,270,000 Computer equipment February 10 263,000 Furniture April 2 880,000 Total $ 3,413,000 a. What is the maximum amount of §179 expense TDW may deduct for 2022?
The maximum amount of §179 expense TDW may deduct for 2022 is $257,000.
To determine the maximum amount of §179 expense that TDW Corporation can deduct for 2022, we first Add up the cost of all the assets acquired in 2022:
$2,270,000 (machinery) + $263,000 (computer equipment) + $880,000 (furniture) = $3,413,000
Now we determine the amount of the §179 deduction limit for the tax year.
For tax year 2022, the §179 deduction limit is $1,050,000.
Check if the cost of the assets exceeds the §179 deduction limit.
Since the cost of the assets ($3,413,000) is greater than the §179 deduction limit ($1,050,000), we need to calculate the phase-out limit.
Now we determine the phase-out limit.
For tax year 2022, the phase-out limit is $2,620,000.
Calculate the §179 expense deduction.
Since the cost of the assets ($3,413,000) is greater than the phase-out limit ($2,620,000), we need to reduce the §179 deduction by the excess over the phase-out limit.
The excess over the phase-out limit is $793,000 ($3,413,000 - $2,620,000).
The §179 expense deduction is the lesser of the §179 deduction limit and the cost of the assets reduced by the excess over the phase-out limit.
The §179 expense deduction is $1,050,000 - $793,000 = $257,000.
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Rami works at a carnival dart game where groups of people try to pop balloons taped to a wall by throwing darts. He records the number of people in each group and the total number of balloons they pop. This graph represents Rami’s data.
How many people were in the group that popped 10 balloons?
We can see that this corresponds to the point (4, 10). Therefore, there were 4 people in the group that popped 10 balloons.
Describe Correlation?Correlation refers to the relationship between two variables in a dataset. It is a statistical measure that quantifies the degree to which two variables are related to each other.
There are two types of correlation: positive and negative. Positive correlation exists when the two variables move in the same direction, meaning that as one variable increases, the other variable also increases. Negative correlation exists when the two variables move in opposite directions, meaning that as one variable increases, the other variable decreases.
The strength of the correlation can be measured using a correlation coefficient, which ranges from -1 to +1. A correlation coefficient of +1 indicates a perfect positive correlation, while a correlation coefficient of -1 indicates a perfect negative correlation. A correlation coefficient of 0 indicates no correlation between the two variables.
From the given graph, we can see that there is a positive correlation between the number of people in a group and the total number of balloons they pop. As the number of people in the group increases, the total number of balloons they pop also tends to increase.
We are asked to find the number of people in the group that popped 10 balloons. From the graph, we can see that this corresponds to the point (4, 10). Therefore, there were 4 people in the group that popped 10 balloons.
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a continuous random variable x is normally distributed with a mean of 0 and a standard deviation of 1. the probability of an observation that lies within the range of -1.0 < x <1.0 is:
a continuous random variable x is normally distributed with a mean of 0 and a standard deviation of 1. the probability of an observation that lies within the range of -1.0 < x <1.0 is 0.6827.
The explanation for normal distribution is described by two parameters, the mean (μ) and the standard deviation (σ).
A continuous random variable X that is normally distributed has the probability density function, (X is a normally distributed variable):
f(x)=1σ√2π×e−12((x−μσ)2)
A normal distribution with a mean of 0 and standard deviation of 1 is called standard normal distribution or Z-distribution. The probability for the standard normal distribution can be found using the standard normal distribution table.
In this case, we have a continuous random variable x which is normally distributed with a mean of 0 and a standard deviation of 1. We are asked to find the probability of an observation that lies within the range of -1.0 < x < 1.0.
In other words, we want to find: P(-1.0 < x < 1.0)
To do this, we need to transform the interval (-1.0, 1.0) to a standard normal distribution as follows:
Z=(X−μ)/σ = (X−0)/1
= X
Next, we use a standard normal distribution table to find the probability for Z as follows:
P(-1.0 < x < 1.0) = P(-1 < Z < 1)
= P(Z < 1) - P(Z < -1)
From the standard normal distribution table,
We have P(Z < 1) = 0.8413 and
P(Z < -1) = 0.1587
Therefore: P(-1.0 < x < 1.0) = 0.8413 - 0.1587
= 0.6827
Thus, the probability of an observation that lies within the range of -1.0 < x < 1.0 is 0.6827.
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a run test is conducted for a process. the z-test value is calculated to be -1.5. if the run test acceptable limits are /- 2sigma you would conclude?
The conclusion of the test is the calculated z-test value of -1.5 falls within the acceptable limits of +/- 2 sigma.
To interpret the results of the run test, we need to compare the calculated z-test value with the acceptable limits for the test. The acceptable limits for the run test are +/- 2 sigma, which means that the process is considered acceptable if the z-test value falls within this range.
Since the z-value of -1.5 falls within the acceptable limits of +/- 2 sigma, we can conclude that the process is acceptable according to the run test. This means that there is no evidence of non-randomness or nonconformity in the process, and the process is functioning as expected.
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Use the multiplication method to increase £88 by 14%
To increase £88 by 14%, we can use the multiplication method, which involves multiplying the original amount by the decimal equivalent of the percentage increase.
The multiplication method is a mathematical technique used to solve problems involving multiplication. It involves breaking down numbers into their constituent parts and then multiplying those parts together to arrive at the final answer.
To find the decimal equivalent of 14%, we divide the percentage by 100:
14% ÷ 100 = 0.14
This tells us that a 14% increase is equivalent to multiplying the original amount by 1.14 (1 + 0.14).
To increase £88 by 14%, we can multiply it by 1.14:
£88 x 1.14 = £100.32
Therefore, the increased amount is £100.32.
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professor salton's research is about the relationship between work and study among college students. in his survey, he asked respondents to report how many hours they work for a non-academic job. professor salton's measure for work is:
Professor Salton's measure for work is the number of hours worked for a non-academic job, as reported by respondents in his survey.
This measure is a simple but effective way to gain an understanding of how work can impact a student's academic studies. It provides a direct measure of the amount of time that students spend working outside their academic pursuits, and can be used to quantify the potential effects of working on their educational success.
By taking this measure, Professor Salton has provided an effective way of analyzing the relationship between work and study. It allows researchers to determine whether working has an impact on student performance and academic outcomes. It also allows researchers to investigate whether certain types of work, such as part-time or full-time employment, have more of an impact than others.
Ultimately, this measure is an invaluable tool for researchers to gain a better understanding of the effects of work on student success.
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Bob buys a new mattress that costs $820. Bob pays $380
right away. For the remaining cost, Bob will pay $44 each
month. How many months will Bob pay $44 until the
mattress is completely paid for?
Answer:
Step-by-step explanation:
820-380=440
440:44=10
10!
Answer:
10 months
Step-by-step explanation:
820-380=440then divuse the cost 44 so 440/44 to get 10 months
suppose vi pays its phone reps $12 per hour. how many phone reps should it employ if it wants to maximize profit?
Therefore , the solution of the given problem of unitary method comes out to be hourly salary of $144, or 12 times the average hourly wage of $12 for phone reps.
An unitary method is what?This common convenience, already-existing variables, or all important elements from the original Diocesan adaptable study that followed a particular methodology can all be used to achieve the goal. Both of the crucial elements of a term affirmation outcome will surely be missed if it doesn't happen, but if it does, there will be another chance to get in touch with the entity.
Here,
The formula below can be used to determine the ideal amount of phone representatives:
=> MR = MC
Where n is the amount of phone reps and 12 is their hourly wage, the cost is given by C = 12n.
The following results are obtained by taking the derivative of revenue and cost with regard to n:
=> MR=dR/dn = k
=> dC/dn = 12 for MC.
When we set MR equal to MC, we obtain:
=> k = 12
Accordingly, Vi should hire as many phone representatives as are required to produce an hourly salary of $144, or 12 times the average hourly wage of $12 for phone reps.
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in exercise physiology, a person's maximum heart rate, in beats per minute, is found by subtracting his age in years from 220. so, if a represents your age in years, then your maximum heart rate is:
Step-by-step explanation:
If your age is ' a ' then your max heart rate = 220 - a
The base of the parallelogram has a length
of 10 cm. What is the height?
10cm
12 cm
14 cm
The height is either 10 cm,12 cm,14 cm.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The base of the parallelogram has a length of 10 cm.
Here, area is not given so the height may be anything.
suppose h = 10
Hence, We get;
Area = base * height
= 10 * 10
= 100 cm²
if h = 12
area = 10 * 12
= 120 cm²
if h = 14
area = 10 * 14
= 140 cm²
Therefore, the height is either 10 cm,12 cm,14 cm.
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a commercial television advertising a pizza deal in which customers can choose two pizzas each with up to five toppings chosen from a set of 11 toppings. In the commercial, a boy claims that there are 1024^2 or 1,048,576 ways to choose the two pizzas. is this a valid claim?
please answers 1-6 I need this before 11:59 today
1. There are 4194304 ways to choose the two pizzas
2. Ways to make one pizza with up to five topping is 1023
3. There is only one way to build the two pizzas.
4. Combinations = 523,503
5. The total number of ways to make two pizzas are 523,504
6. The same value that the boy claims in the advertisement.
What is a probability?A subfield of statistics known as probability studies random events and their likelihood of happening.
1. There are 11 toppings and each topping can be either included or excluded from a pizza, there are 2 choices for each topping. Therefore, there are 2^11 = 2048 ways to make one pizza. For two pizzas, there are 2048*2048 = 4194304 ways to choose the two pizzas.
2. For one pizza with up to five toppings, we can use combinations to determine the number of ways to choose toppings. Since we have 11 toppings to choose from and can choose up to 5, the number of ways to choose is:
C(11, 1) + C(11, 2) + C(11, 3) + C(11, 4) + C(11, 5) = 11 + 55 + 165 + 330 + 462 = 1023
3. If the two pizzas are identical, there is only one way to build the two pizzas.
4. If the two pizzas are different, we need to choose 2 of the 1023 possibilities from problem 2. Since order doesn't matter, we use combinations, and the number of ways to choose is:
C(1023, 2) = 523,503
5. The total number of ways to make two pizzas with up to five toppings each is the sum of the answers from problems 3 and 4:
1 + 523,503 = 523,504
6. The number 10242 is equal to 1,048,576. This is the same value that the boy claims in the advertisement. Therefore, the boy's claim is valid only if the pizzas can have up to 11 toppings each, not up to 5 as advertised.
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I have 2 different things for you people to solve. Please say your answer in the order given
2/3a -7+7/18a-5 1/6= (The answer is not 19a-219/18)
-12(5/6a-7/8)+1/14(3 1/2a-1 2/5)= (The answer is not 13(15a-16)/20)
After solving the given equation, the value of variable a is 6.81 respectively.
What is an equation?Every equation is a formula.
Not all equations have formulas. It is the purpose of equations to be solved for a variable.
We analyze formulas.
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
2/3a -7 + 7/18a - 5 1/6 = 0
2/3a + 7/18a = 7 + 6/31
12a+7a/18 = 7+6/31
19a/18 = 7+6/31
19a = (7+6/31)18
19a = (217+6/31)18
19a = (223/31)18
19a = 4,014/31
a = 4014/31*19
a = 4014/589
a = 6.81
Therefore, after solving the given equation, the value of variable a is 6.81 respectively.
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Complete question:
Solve the given equation: 2/3a -7 + 7/18a - 5 1/6 = 0
Jemma is tidying her garden. She starts tidying at
10:26am and finishes at
3pm. How much time did she spend tidying her garden?
Give your answer in minutes
Answer:270
Step-by-step explanation: 3pm + 12am = 15am
15 am - 10:26 pm = 4 hours 34 minutes
4 hours 34 minutes = 4x60 +30 mins = 270 mins
Please help I’ll give brainliest if u get the question right I’ll give u 100 points
A block of wood has a mass of 120g and a volume of 200cm3. What is the density of the wood?
Answer:
The density of the wood is 0.6 g/cm^3
Step-by-step explanation:
The density of an object can be calculated by dividing the mass of the object by its volume. In this case, the mass of the block of wood is 120g and its volume is 200cm^3.
Density = mass / volume
Density = 120g / 200cm^3
Density = 0.6 g/cm^3
Therefore, the density of the wood is 0.6 g/cm^3.
Find the area of the shaded region formed by the points ABDC
inside circle sector OAB with center O.
75°
6cm D 4cm
7.11 [tex]cm^{2}[/tex] is the area of the darkened area, or 57 - (5/12). (rounded to two decimal places)
what is circle ?A circle in geometry is a closed object made up of all points in a plane that are equally spaced out from a specific point known as the centre. The diameter of a circle is the distance through its centre; the radius is the distance from any point on the circle to that point. Any three locations that are located on a circle can be used to describe it, in addition to its centre point and radius. A circle's circumference, also known as its perimeter, can be calculated using the formula C = 2r, where r denotes the radius and is a mathematical constant roughly equivalent to 3.14. The equation A = r2 determines the area of a circle.
given
We must deduct the area of triangle OAB (the sector) from the area of trapezium ABCD in order to determine the area of the shaded zone formed by points ABDC inside circle sector OAB.
Finding the sector's area is the first step. The sector's central angle is 75 degrees, or (75/360) of the complete circle. Hence, this is the sector's geographic scope:
(75/360)r2, where r is the circle's radius.
Inputting r=4cm results in:
(75/360)π(4)² = (5/12)π cm²
The area of the trapezium must then be located. Finding the height of the trapezium, which is the separation between lines AB and CD, is necessary to do this.
Using the Pythagorean Theorem, the following can be discovered:
h² = (OA)² - (CA) (CA) ²
h² = 4² - 3²
h = √7 cm
The trapezoid's surface area is:
(1/2)(AB+CD)
h = (1/2)(6+4)
(√7) = 5√7 cm²
Lastly, we can calculate the area of the darkened area by deducting the sector's area from the trapezoid's area:
7.11 [tex]cm^{2}[/tex] is the area of the darkened area, or 57 - (5/12). (rounded to two decimal places) .
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45 of 50
Question 45 Review
Which balanced equation represents an endothermic reaction?
C(s) + 0₂ (8)→CO2₂ (8)
2 CH4 (8) +20₂ (8) 0₂ (8) + 2H₂O(4)
N₂ (8)+ 3H₂ (8)→ 2NH3 (8)
4. N₂ (8)+0₂ (8) 2NO(g)
1
3₂
Zoom: Standard
Note
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Submit Answer
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Calculate
Answer:
The balanced equation that represents an endothermic reaction is:
2 CH4 (g) + 2 O2 (g) → 2 CO2 (g) + 2 H2O (g)
This is because the reactants (CH4 and O2) have a higher bond energy than the products (CO2 and H2O), meaning that energy must be absorbed in order to break the bonds and form the products. As a result, the reaction is endothermic.
HELP ME PLEASE PLEASE!!! URGENT
This equation fits the given data: Oy = -2x + 10. The equation creates a linear relationship between the x and y values, with each x value increasing by 1 resulting in a decrease in the y value by 2.
What is linear ?Linear refers to a type of relationship between two or more variables. It is a straight line relationship where the output is directly proportional to the input. Linear relationships can be observed in the natural world such as in the relationship between distance and time. They can also be observed in mathematical equations and models, where the output is directly related to the input. Linear relationships are also used to represent real-world problems in the form of linear equations and models.
The equation satisfies the data points, as plugging in each x value will result in the corresponding y value. For example, when x = 0, the equation produces y = 10, which is the given data point. Similarly, when x = 2, the equation produces y = 6, which is also the given data point.
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This equation fits the given data: y = 1/3x + 2. The equation creates a linear relationship between the x and y values. Hence the correct option is b.
What is linear relationship?Linear refers to a type of relationship between two or more variables. It is a straight line relationship where the output is directly proportional to the input. Linear relationships can be observed in the natural world such as in the relationship between distance and time. They can also be observed in mathematical equations and models, where the output is directly related to the input. Linear relationships are also used to represent real-world problems in the form of linear equations and models.
The equation satisfies the data points, as plugging in each x value will result in the corresponding y value. For example, when x = 0, the equation produces y = 10, which is the given data point. Similarly, when x = 2, the equation produces y = 6, which is also the given data point.
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for a ride, a taxi driver charges an initial fare of $3.00 plus $0.40 for each 1 5 of a mile driven. if the total charge for a ride is $27.00, what is the distance traveled, in miles?
The taxi driver charges an initial fare of $3.00 plus $0.40 for each 1/5 of a mile driven. If the total charge for a ride is $27.00, the distance traveled, in miles is 9.
The data given in the question is, The taxi driver charges an initial fare of $3.00 plus $0.40 for each 1/5 of a mile driven. The total charge for a ride is $27.00.
Let's calculate the distance traveled:
Let d be the distance traveled. The given data in the problem is in dollars and cents. Therefore, let's first change it to the same units (cents). We know that 1 dollar is equal to 100 cents. Thus $27.00 is equal to 27 * 100 cents.
Therefore, $27.00 is equal to 2700 cents.
Now, we know that the driver charges $3.00 as an initial fare.
So, he charged 300 cents. Therefore, the remaining amount of money he charged for the distance is (2700 - 300) cents.
Hence, he charged 2400 cents for the distance traveled. The driver charges $0.40 for each 1/5 of a mile. That is 40 cents for each 1.2 km.
Therefore, he charges 200 cents for each 1.2 km of distance traveled.
Hence, he charges (2400/200) * 1.2 km of distance traveled.
Therefore, the distance traveled is 14.4 km or 9 miles. Accordingly, the distance traveled, in miles, is 9.
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how is graphing (0, 2) different from graphing (2, 0)
Answer: graphing 0,2 would place the 0 on the x-axis and 2 on the y-axis, whereas graphing 2,0 would place the 2 on the x-axis and 0 on the y-axis
Step-by-step explanation:
Answer:
Step-by-step explanation:
Graphing the point (0, 2) means plotting a point at the coordinates where the x-axis is located at 0 and the y-axis is located at 2. This means that the point would be located at the upper part of the y-axis.
On the other hand, graphing the point (2, 0) means plotting a point where the x-axis is located at 2 and the y-axis is located at 0. This means that the point would be located on the x-axis to the right of the origin.
In general, the order of the coordinates in an (x, y) pair represents the horizontal and vertical position of the point, respectively. Thus switching the order of the coordinates changes the position of the point on the coordinate plane.
A shoe store has 3 types of shoes - sandals, sneakers, and dress shoes. The shoes come in 4 colors - black, brown, blue, and white. Customers can choose from 2 width options - wide width and narrow width. What is the total number of possible outcomes?
Use the fundamental counting principle
As per the fundamental counting principle, the total number of possible outcomes is 24.
To use the fundamental counting principle, we need to first identify the number of choices available for each option. In this case, we have 3 types of shoes, 4 colors, and 2 width options. So, the number of choices for each option is:
3 types of shoes
4 colors
2 width options
To determine the total number of possible outcomes, we multiply the number of choices for each option. This gives us:
Total number of possible outcomes = number of choices for type of shoe x number of choices for color x number of choices for width
= 3 x 4 x 2
= 24
Therefore, there are 24 possible shoe combinations that can be created from the given options.
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hey there mide helping me⭒What is the missing numerator and denominator? Three (?) times (?) fourths equals nine twentieths⭒ this is for my ↣⭒exam⭒↢ (=^･ｪ･^=)⭒meow⭒ will get brainiest
The answer is in numerator = 3 and denominator = 5
What are numbers?Numbers are present in every part οf οur everyday lives, including the number οf laps we cοmplete οn the racetrack, the number οf hοurs we sleep at night, and many οther things.
In math, a number can be even, οdd, prime, cοmpοsite, decimal, fractiοnal, ratiοnal, irratiοnal, natural, integer, real, whοle, οr any cοmbinatiοn οf these.
Numbers are the basis οf mathematics
We must learn abοut numbers if we are tο understand math.
There are many different kinds οf numbers.
There is a lengthy list that includes whοle numbers, οrdinal numbers, οrdinal numbers, natural numbers, οdd numbers, even numbers, cοnsecutive numbers, and sο οn.
3*3 = 9
5*4=20
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Question 20
After months of negotiations, Jabu's annual salary was increased by 6. 35% to R330 000. Determine his
previous monthly salary and the monthly increase he will be getting.
Original salary of R20 955. 00, with an increase of R6 545. 00 per month.
[2] Original salary of R25 858. 02, with an increase of R1 641. 98 per month
(3) Original salary of R27500. 00, with an increase of R1 746. 25
per
month.
14] Original salary of R25 858. 02, with an increase of R1 746. 25 per month.
Jabu's Monthly salary is of R27500.00, with an increase of R1 746.25 per month. Jabu's monthly increase is R1 746.25. The correct answer is option 3.
To find Jabu's previous monthly salary, we can use the formula:
Previous monthly salary = (Annual salary / 12)
Since Jabu's new annual salary is R330 000, his previous annual salary would be:
Previous annual salary = (New annual salary / 1.0635) = (R330 000 / 1.0635) = R310 020.10
Therefore, Jabu's previous monthly salary would be:
Previous monthly salary = (Previous annual salary / 12) = (R310 020.10 / 12) = R25 835.01
To find the monthly increase, we can subtract Jabu's previous monthly salary from his new monthly salary:
Monthly increase = (New monthly salary - Previous monthly salary) = (R27 618.38 - R25 835.01) = R1 783.37
Therefore, Jabu's monthly increase is R1 746.25 (rounded to the nearest cent).
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What is the exact value of side x in the Trina for below? 20in 30 degree and X?
According to the question, the exact value of side x in the Trina are 34.641016151377546in.
What is value?Value is an intangible concept that refers to the worth of something, whether it is tangible or intangible. It is based on the perceived benefits and costs associated with the thing in question. Value can be subjective, as different people may place different worth on the same item. Value can also be objective, as there may be a set market price for a certain item.
The exact value of side x in the triangle can be determined by using the law of sines. The law of sines states that the ratio of the length of a side to the sine of its opposite angle is the same for all sides of a triangle.
Therefore, we can set up the following equation:
(20in/sin30°) = (x/sin60°)
Solving for x, we get:
x = 20in×(sin60°/sin30°)
x = 20in×(√(3)/1)
x = 20in×√(3)
x = 34.641016151377546in
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The exact value of side x in the Trina, according to the question, is 34.641016151377546in.
What is Exact value?Where you cannot predict the value, you must be specific. An exact number is a value that can be determined with absolute precision. Counted quantities of objects or sure unit conversions are examples of exact numbers.
The term "approximate number" refers to a number that is close to the precise number, and there is always a difference among exact and approximate numbers. For instance, are exact integers because no approximation is required.
As a result, we can construct the following equation:
(20in/sin30°) = (x/sin60°)
Solving for x, we get:
x = 20in×(sin60°/sin30°)
Simplify the above equation,
x = 20in×(√(3)/1)
x = 20in×√(3)
The value of x is,
x = 34.641016151377546in
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The complete question is,
What is the exact value of side x in the Trina for below? 20in 30 degree and X? Determine the exact value of side x.
FLOORPLAN A bedroom is in the shape of a square. The length of the room is 6p 7 q. What is the area of the bedroom in terms of p and q?
The area of the bedroom in the terms of p and q is (6p7q)² square units.
What is the area of square?
The amount of square units required to fill a square is referred to as the area of a square. In general, the region contained within a flat object's or 2D figure's boundary is referred to as the area. The unit of measurement is square, with square metres serving as the default.
We are given that a bedroom is in the shape of a square with the length as 6p7q.
We know that area of a square is the square of the side.
So, from this we get
⇒ Area = (6p7q)² square units
Hence, the area of the bedroom in the terms of p and q is (6p7q)² square units.
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Frank organized a raffle. He sells 300 tickets for £5 each. The prizes cost £400. He gives 55% of the profit to Charity A and 45% of the profit to Charity B. Work out how much each charity receives.
Answer:
Step-by-step explanation:
The total revenue from selling 300 tickets for £5 each is:
300 x £5 = £1500
The profit will be the difference between the total revenue and the cost of prizes:
£1500 - £400 = £1100
The amount of profit that goes to Charity A is:
55% x £1100 = £605
The amount of profit that goes to Charity B is:
45% x £1100 = £495
Therefore, Charity A receives £605 and Charity B receives £495.
Mr. Salinger has 8 packs of seeds. The line plot shows the weight of each pack. Mr. Salinger wants to redistribute the seeds in such a way that each pack weighs the same. What will be the weight of each pack?
Each pack should weigh 11.5 oz when the seeds are redistributed equally.
Since Mr. Salinger wants to redistribute the seeds in such a way that each pack weighs the same, he needs to find the common weight of all the packs. To do this, he can find the total weight of all the packs and divide it by the number of packs.
Using the line plot, we can see that the weights of the 8 packs are:
12 oz
8 oz
10 oz
10 oz
12 oz
14 oz
10 oz
16 oz
To find the total weight of all the packs, we can add these weights together:
12 + 8 + 10 + 10 + 12 + 14 + 10 + 16 = 92 oz
So the total weight of all the packs is 92 oz.
To find the weight of each pack, we need to divide the total weight by the number of packs:
92 ÷ 8 = 11.5 oz
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50 POINTS PLEASE HELP
IN YOUR OWN WORDS PLEASE:)
The purpose of filling out a W-4 is to make it easier for individuals to meet their tax liability by
paying income taxes as they earn income. Paying anticipated taxes from each paycheck
reduces the amount an individual owes when filing taxes and can even result in a tax refund.
To guarantee or increase the refund, individuals sometimes claim fewer allowances (to have
more income tax withheld) or request a specific additional amount to be withheld from each
paycheck.
Daniel's employer will automatically deduct taxes from Daniel's pay using the information on
the W-4 form that Daniel completed on his first day. From his W-4 form, Daniel's employer
determined that $75 needs to be withheld from each of Daniel's weekly paychecks, totaling
$3,900 for the year.
Compare Daniel's tax liability from part B, question 3, with the total amount withheld from his
check: $3,900 for the year. If Daniel wants a refund when he files his taxes, should he have
filled out his W-4 differently? Explain your reasoning.
Answer:
To determine if Daniel should have filled out his W-4 form differently to receive a refund, we need to compare his tax liability with the total amount withheld from his paychecks for the year.
If Daniel's tax liability for the year is less than $3,900, he will receive a refund when he files his taxes. If his tax liability is more than $3,900, he will owe additional taxes when he files his taxes.
If Daniel's tax liability is exactly $3,900, he will neither owe additional taxes nor receive a refund when he files his taxes.
Therefore, to determine if Daniel should have filled out his W-4 form differently, we need to compare his tax liability with $3,900.
If Daniel's tax liability from part B, question 3, is less than $3,900, he will receive a refund when he files his taxes, as the total amount withheld from his paychecks is more than his tax liability. In this case, Daniel may want to consider filling out his W-4 form differently to reduce the amount withheld from his paychecks and increase his take-home pay.
On the other hand, if Daniel's tax liability from part B, question 3, is more than $3,900, he will owe additional taxes when he files his taxes, as the total amount withheld from his paychecks is less than his tax liability. In this case, Daniel may want to consider filling out his W-4 form differently to increase the amount withheld from his paychecks and reduce the amount he will owe when he files his taxes.
If Daniel's tax liability from part B, question 3, is exactly $3,900, he will neither owe additional taxes nor receive a refund when he files his taxes, and his W-4 form is correctly filled out for his tax situation.
In summary, whether or not Daniel should have filled out his W-4 form differently to receive a refund depends on his tax liability compared to the total amount withheld from his paychecks. If his tax liability is less than the total amount withheld, he may want to reduce the amount withheld to increase his take-home pay. If his tax liability is more than the total amount withheld, he may want to increase the amount withheld to reduce the amount he will owe when he files his taxes. If his tax liability is exactly equal to the total amount withheld, his W-4 form is correctly filled out for his tax situation.