A figure in the flag has rotational symmetry if the figure can be mapped onto itself by a rotation between 0° and 360° about the center of the figure.
What is symmetry?Symmetry in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, "symmetry" has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling. Something is symmetrical when it is the same on both sides. A shape has symmetry if a central dividing line (a mirror line) can be drawn on it.To learn more about symmetry refer to:
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A tree is 108 inches tall. A second tree is 120 inches tall. What is the combined height of the trees?
Answer:228
Step-by-step explanation:
All you have to do is add 108 to 120.
0+8=8, 2+0=2, 1+1=2
120
108
+_____
228
What is the slope in the given line?
Answer:
[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
The slope/gradient of a line is defined by this formula:
[tex]\frac{y_{1}-y_{0} }{x_{1}-x_{0} }[/tex]
Where you pick two coordinates, find the change in the [tex]y[/tex] values, and divide it by the change in the [tex]x[/tex] values.
Two coordinates that this line passes through are (3, -2) and (-3, 2).
You can take the second [tex]y[/tex]-value (2) from the first [tex]y[/tex]-value (-2) or vice versa, so long as you do it in the same order the [tex]x[/tex] values.
For this example, I will take the first [tex]y[/tex]-value (-2) from the second [tex]y[/tex]-value (2), and take the first [tex]x[/tex]-value (3) from the second [tex]x[/tex]-value (-3).
The gradient/slope is defined by [tex]m[/tex] in the following:
[tex]m=\frac{2--2}{-3-3}=\frac{4}{-6}=-\frac{4}{6}=-\frac{2}{3}[/tex]
Please explain your answer to this question! Thank you!
Answer:
B. Incorrectly applied the distributive property
Step-by-step explanation:
You want to find Maria's error in her solution of -2(3x -5) = 40.
StepsThe solution can proceed as follows:
-2(3x -5) = 40 . . . . . . . . given
-6x +10 = 40 . . . . . . . . . use the distributive property
-6x = 30 . . . . . . . . . . subtract 10
x = -5 . . . . . . . . . . divide by -6
Comparing this solution to Maria's, we find that Maria incorrectly applied the distributive property. (She multiplied (-2)(-5) and got -10 instead of +10.)
11 A fisherman wants to know how many fish there are in a lake. One day, he catches 50, marks them and puts them back. The next day he catches 80 fish. 20 of these fish have marks on them. Estimate the total number of fish in the lake.
The total number of fish in the lake would be = 60 fishes
What is total of a data set?The total of a data set is the addition of the various components that makes up a data set which gives a particular value.
On the first day the number of fish that was marked by the fisher man = 50 fishes.
On the second day the total amount of fishes that was caught = 80 fishes
The number of fishes that where among the 80 fishes that are marked= 20
Therefore the total amount of fishes in the lake = 80 - 20
= 60 fishes.
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does anyone know this
The correct equivalent expression to the square root containing a variable is 2a³/5 and the correct option is E.
How to determine the equivalent expressionWe shall simplify the expression of the square root containing a variable by carrying out basic mathematics operations to derive its equivalent as follows:
squre root of (36a⁸/255a²) = square root of (36a⁶ × a²/255 × a²)
a² is common and can be cancel out
square root of (36a⁸/255a²) = square root of (36a⁶/255)
square root of (36a⁸/255a²) = square of 36 multiplied by the square root of a⁶ all divided by the square root of 255 {take square root of each}
square root of (36a⁸/255a²) = 6a³/15
square root of (36a⁸/255a²) = 2a³ × 3/5 × 3
we divide through by the common factor 3
square root of (36a⁸/255a²) = 2a³/5
Therefore, the equivalent expression to square root of (36a⁸/255a²) is derived as 2a³/5 which is option E.
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What is the value of the expression:
6 - 5x when x = -2?
Answer: 16
Step-by-step: 6 - (5(-2)=-10 then the - turns into + and your answer is 6 + 10
Find The length of the third side. If necessary, round to the nearest tenth. need answer ASAP
The length of the third side is 16.5 for the given right-angle triangle. By using Pythagoras' theorem, the required length is calculated.
What is the Pythagoras theorem?The theorem is given by (hyp)² = (opp)² + (adj)².This theorem applies to a right-angle triangle only.Calculation:The given triangle is a right-angle triangle.
It has two lengths. They are
length of the hypotenuse = 21
length of the adjacent or base = 13
Then, the third side i.e., the opposite side length is calculated by
(hyp)² = (opp)² + (adj)²
⇒ (21)² = (opp)² + (13)²
⇒ 441 = (opp)² + 169
⇒ (opp)² = 441 - 169 = 272
⇒ opposite side length = √272 = 16.49 ≅ 16.5
Therefore, the length of the third side is 16.5.
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The positive integers greater than 3 are arranged in rows and columns as illustrated.
In which column is the number 5018?
A) 2
B) 4
C) 6
D) 5
E) 3
The rows and columns of the positive integers greater than three are as shown. And the number 5018 is found in the third column.
When performing a permutation test, you repeatedly rearrange one of the variables without affecting the other variable (s). From the given table, we can start with column 4. Here, each row has about 6 numbers. That is singular row has numbers from columns 1 to 6 and an even row from columns 7 to 2.
Then subtract 5018 by 3. We get 5018-3=5015.
Divide this by 6,
5015/6 = 836.
So 5018 is located in an even row from 7 to 2.
Therefore, 5018 is located in the 836th row and 3rd column.
So the required answer is E) 3.
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A roller coaster ride holds a total of 48 passengers. The ratio of males to females on the ride is 5 : 7. Let x represent the number of males on the ride. Let y represent the number of females on the ride. Which two linear equations form a system that you can use to find the number of males and the number of females on the ride?
Answer:
5x + 7y = 48 (total number of passengers on the ride)
x + y = 48 (total number of males and females on the ride)
Step-by-step explanation:
To find the number of males and the number of females on the roller coaster ride, you can use the following two linear equations to form a system:
5x + 7y = 48 (total number of passengers on the ride)
x + y = 48 (total number of males and females on the ride)
The first equation states that the total number of passengers on the ride is equal to the sum of the number of males (5x) and the number of females (7y). The second equation states that the total number of males and females on the ride is equal to the sum of the number of males (x) and the number of females (y).
To solve this system, you can use algebraic techniques to eliminate one of the variables and solve for the other. For example, you could multiply the first equation by 5 and the second equation by 7, then subtract the two equations to eliminate the y variable:
5 * 5x + 7 * 7y = 5 * 48
7 * x + 7 * y = 7 * 48
25x + 49y = 240
49x + 49y = 336
24x = 336 - 240
24x = 96
x = 4
Substituting this value for x in the first equation, we can solve for y:
5 * 4 + 7 * y = 48
20 + 7 * y = 48
7 * y = 28
y = 4
Therefore, there are 4 males and 4 females on the roller coaster ride.
The path of the airplane the astronauts are flying
in can be modeled using the function h(x) =
10000cos(0.0001x) + 20000 in which h indicates
the height in feet. What is the approximate period
of the wave?
Answer:
The approximate period of the wave representing the airplane's path is 0.9 hours.
Step-by-step explanation:
The period of a wave is the time it takes for one complete cycle of the wave to occur. In the case of the airplane's path, this would be the time it takes for the airplane to complete one full oscillation, or "up and down" motion.
To find the period of the wave, we need to determine the value of x that corresponds to one complete cycle of the wave. In this case, the wave is defined by the function h(x) = 10000cos(0.0001x) + 20000.
To find the period, we can use the formula T = 2π/ω, where T is the period, π is the mathematical constant pi, and ω is the angular frequency of the wave. The angular frequency is related to the frequency of the wave, which is the number of cycles per second.
In this case, the angular frequency is given by the coefficient of the x term in the function, which is 0.0001. Plugging this value into the formula above, we get T = 2π/0.0001 = 200000π seconds.
Since one cycle of the wave corresponds to one complete oscillation of the airplane, the period of the wave is approximately 200000π seconds. This is a very large number, so it is usually more useful to express the period in minutes or hours. To convert to minutes, we can divide the period by 60, which gives us a value of about 3334 minutes. To convert to hours, we can divide the period by 3600, which gives us a value of about 0.9 hours.
In summary, the approximate period of the wave representing the airplane's path is 0.9 hours.
Ask me any questions you may have!
The amount of time it takes for a wave to complete one full cycle is known as the wave's period. This would be the amount of time needed for the plane to perform one full oscillation, or “up and down” motion, in the case of the flight path.
What path airplane the astronaut's period of the wave?Finding the value of x that represents the wave's full cycle is necessary to calculate the wave's period. The equation h(x) = 10000cos(0.0001x) + 20000 in this instance defines the wave.
The formula T = 2/, where T is the period, is the mathematical constant pi, and is the wave's angular frequency, can be used to determine the period. The wave's frequency, or the number of cycles per second, and the angular frequency are connected.
We may convert the period to hours by dividing it by 3600, which gives us a number of approximately 0.9 hours.
Therefore, The wave that represents the course of the airplane has an approximate period of 0.9 hours.
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A random sample of 81 automobiles traveling on a section of an interstate showed an average speed of 60 mph. The distribution of speeds of all cars on this section of highway is normally distributed, with a standard deviation of 13.5 mph. Refer to exhibit 8-3. If we are interested in determined an interval estimate for mu at 86.9% confidence the z value to use is 1.96 1.31 1.51 2.00 Refer to exhibit 8-3. The value to use for the standard error of the mean is 13.5 9 2.26 1.5 Refer to exhibit 8-3. The 86.9% confidence interval for mu is 46.500 to 73.500 57.735 to 62.265 59.131 to 60.869 50 to 70
Probability can be used to make predictions or decisions in a variety of situations, such as in gambling, finance, and science. In these situations, probabilities can be calculated based on statistical data or by using mathematical models.
To find the confidence interval for the mean speed (mu) of all cars on this section of the highway, we can use the following formula:
Confidence interval for mu = sample mean +/- z * standard error of the mean
Where:
sample mean is the average speed of the 81 cars in the sample, which is 60 mph
z is the z-score corresponding to the desired confidence level. In this case, the desired confidence level is 86.9%, which corresponds to a z-score of 1.96.
standard error of the mean is the standard deviation of the sampling distribution of the mean, which is calculated as the standard deviation of the population divided by the square root of the sample size.
In this case, the standard error of the mean is 13.5 / sqrt(81) = 2.26 mph.
Plugging these values into the formula, we get:
Confidence interval for mu = 60 +/- 1.96 * 2.26 = 59.131 to 60.869
Therefore, at a confidence level of 86.9%, we can be confident that the interval between 59.131 and 60.869 mph includes the true mean speed of all cars on this section of the highway.
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Which equation is the inverse of 2(x - 2)² = 8(7+ y)?
O-2(x-2)2 = -8(7+ y)
Oy-x²-x-6
O y=-2± √√28+4x
Oy-2± √√28+4x
Answer:
[tex]2+2\sqrt{-1(-7-x)}\\2-2\sqrt{-1(-7-x)}[/tex]
Step-by-step explanation:
The inverse of [tex]2(x-2)^2=8(7+y)[/tex] is
[tex]2+2\sqrt{-1(-7-x)}\\2-2\sqrt{-1(-7-x)}[/tex]
the table below shows the linear relationship between the number of people at a picnic and the total cost of the picnic. which statements about the function described by the table are true? check all that apply. the independent variable is the number of people. the initial value (initial fee) for the picnic is $40. the rate of change is $8.67 per person. as the number of people increases, the total cost of the picnic increases. if 4 people attended the picnic, the total cost would be $46.
Required function y = 2x + 40 to represents linear relationship between number of people and total cost shows following statements are true:
a. Independent variable represents the number of people.
b. Initial value for the picnic is $40.
d. Cost of the picnic increases as per the number of people.
As given in the question,
Let 'x' represents the number of people
And 'y' represents the total cost
Linear relationship between number of people and total cost is:
y = mx + b
Consider two points (x₁ , y₁) = (6, 52) and ( x₂ , y₂ ) = ( 9 , 58)
Slope 'm' = ( y₂ - y₁)/ (x₂ - x₁)
= (58 - 52)/ (9 -6)
= 6 / 3
= 2
y = 2x + b
Now for, (x. y) = ( 12,64)
64 = 2(12) +b
⇒b = 64 - 24
⇒b = 40
Hence, required function is :
y = 2x + 40
a. Independent variable is the number of people.
Here it is x which represents the number of people.
True.
b. Initial value for the picnic is $40
y- intercept when x =0 ⇒ y = $40
True.
c. Rate of change is $8.67 per person.
No, rate of change is $2 per person.
d. Number of people increases as total cost of picnic increases
True .
e. If x = 4
⇒y = 2(4) + 40
= 48 ≠46
False.
Therefore, function y = 2x + 40 represents that following statements are true:
a. Independent variable represents the number of people.
b. Initial value for the picnic is $40.
d. Cost of the picnic increases as per the number of people.
The above question is incomplete, the complete question :
The table below shows the linear relationship between the number of people at a picnic and the total cost of the picnic. Which statements about the function described by the table are true? Check all that apply. a. The independent variable is the number of people.
b. The initial value (initial fee) for the picnic is $40.
c. The rate of change is $8.67 per person.
d. As the number of people increases, the total cost of the picnic increases.
e. If 4 people attended the picnic, the total cost would be $46.
Number of people Total cost ($)
6 52
9 58
12 64
15 70
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Which of the following is the correct boolean expression to test for:
int x is being a value between, including, 500 and 650, or int y not equal to 1000?
O ((x >= 500 && x <= 650)|| (y != 1000))
O ((x > 500 AND x < 650) OR !(y. equal(1000)))
O ((x > 500 && x < 650) || (y != 1000))
O ((x < 500 && x > 650) || !(y == 1000))
The correct boolean expression to test for int x being a value between, including, 500 and 650, or int y not equal to 1000 is:
((x >= 500 && x <= 650)|| (y != 1000))
This expression uses the "&&" operator to test for x being greater than or equal to 500 and less than or equal to 650, and the "||" operator to test for y not being equal to 1000. The expression is using the correct comparison operators and logical operators to test for the desired conditions.
A boolean expression is a statement that evaluates to either true or false. It is commonly used in programming to control the flow of a program, as the result of a boolean expression can be used to determine whether a certain block of code should be executed or not.
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a price is discounted by 20 percentage and the discounted price is 200 euro. how many euros was the discount?
Answer:
Step-by-step explanation:
40
. Acme Burgers sells a large pop which is 14 oz and comes in a 8" high container. The small pop comes
in a 6" high container which is the same shape as the small pop container. How much does the small
container hold?
Answer:
10.5 oz
Step-by-step explanation:
The large pop and container are similar to the small pop and container.
Thus, we can use proportions to find how much the small container can hold, letting x represent the volume of the small container:
[tex]\frac{14}{8}=\frac{x}{6}\\ 8x=84\\ x=21/2=10.5[/tex]
suppose dispatcher a takes a random sample of 9 response times from the log books in march. dispatcher a calculates x-
1. The first step is to determine the sample size. In this case, the sample size is 9 response times.
2. Next, the dispatcher should collect the response times from the log books.
3. After collecting the response times, the dispatcher should calculate the mean or average of the sample. This is known as the sample mean and is represented by the x-bar.
4. To calculate the sample mean, the dispatcher should add together the values of all the response times and divide this sum by the sample size (9). The result of this calculation is the sample mean or x-bar.
5. Finally, the dispatcher can use the value of the x-bar to calculate the standard deviation of the response times. This is done by taking the square root of the sum of the squares of the differences between each response time and the mean, divided by the total number of response times (in this case, 9). This will give us the standard deviation of the response times.
Question: Suppose dispatcher a takes a random sample of 9 response times from the log books in march. dispatcher a calculates x-bar
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Let f(x) = –7x + 9. Suppose you add 2 to the input of f to create a new function g, then multiply the output of function g by –3 to create function h. What are the slope and y-intercept of the graph of function h?
We will see that the linear function h(x) is:
h(x) = -21x - 15
The slope is -21, and the y-intercept is -15.
What are the slope and y-intercept of function h?
Remember that a general linear function is:
y = a*x + b
Where a is the slope and b is the y-intercept.
Here we start with the linear function:
f(x) = -7x + 9
First, we need to add 2 to the input of f (the input is x) to get function g(x), so we have:
g(x) =f(x + 2)
Replacing the actual function we will get:
g(x) = -7*(x + 2) + 9
Now we multiply the output of function g by 3 to get h(x), then:
h(x) = 3*g(x)
We will get:
h(x) = 3*[-7*(x + 2) + 9]
h(x) = -21*(x + 2) + 27
h(x) = -21x - 42 + 27
h(x) = -21x - 15
So we can see that the slope of function h(x) is -21, while the y-intercept is -15.
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a response variable y has correlation coefficient 0.3 with each of the predictors x1 and x2. however, these predictors are heavily correlated r x1x2
If the response variable y has a correlation coefficient of 0.3 with each of the predictors x1 and x2, it means that there is a weak linear relationship between y and both x1 and x2.
This means that as x1 and x2 increase or decrease, y is likely to change by a small amount. If x1 and x2 are heavily correlated, it means that there is a strong linear relationship between the two variables. This means that as x1 increases or decreases, x2 is likely to change by a large amount in the same direction. When two predictors are highly correlated, it can be difficult to determine the individual contribution of each predictor to the response variable y.
In this situation, it may be useful to use techniques such as multi-collinearity analysis or principal component analysis to understand the relationship between the predictors and the response variable better.
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3. The graph of function g(x) is shown below.
Answer:
Step-by-step explanation:
g(x) = 2*[tex]\sqrt{x}[/tex] + 4
Domain is the input so what limits are there to the input?
for the square root, you are told that you can't not put in negative numbers until you learn about imaginary number in the for m a+bi, but for now, just say the input is 0 to ∞, for now The domain is 0 to ∞
Range is the output
so that is from 4 to ∞
Answer:
a. translation 2 right and up 4
b. g(x) = √(x -2) +4
c. domain: x ≥ 2; range: y ≥ 4
Step-by-step explanation:
You have the graph of a square root function with its vertex at (2, 4). You want to know what transformation that represents, the equation of the graph, and the domain and range of the function.
a. TransformationThe vertex of the square root function f(x) = √x is located at (0, 0). In the given graph, it has moved to (2, 4). The vertical and horizontal scale factors remain unchanged. This transformation is ...
translation right 2 units and up 4 units
b. EquationTranslation of function f(x) by h units right and k units up gives you ...
g(x) = f(x -h) +k
Here, we have (h, k) = (2, 4), and f(x) = √x, so the transformed function is ...
g(x) = √(x -2) +4
c. Domain and RangeThe domain is the horizontal extent of the graph. For a square root function it is the x-value of the vertex, and all points to the right of that.
domain of g(x): x ≥ 2
The range is the vertical extent of the graph. For a square root function it is the y-value of the vertex, and all points above that.
range of g(x): y ≥ 4
i need help asap!!!!!
Answer:
The slope is same for both points.
Step-by-step explanation:
1st set of points: (1, 4) and (7, 2)
m = 2-4/7-1
m = -2/6
m = -1/3
2nd set of points: (7, 2) and (10, 1)
m = 1-2/10-7
m = -1/3
The slope is same for both points.
the sugar sweet company delivers sugar to its customers. let be the total cost to transport the sugar (in dollars). let be the amount of sugar transported (in tons). the company can transport up to tons of sugar. suppose that gives as a function of . identify the correct description of the values in both the domain and range of the function. then, for each, choose the most appropriate set of values.
The domain and the range of a function are the possible input and output values of the function.
The function is given as:
C = 130S + 3500
The domain
This is the possible S values of the function.
S cannot be less than 0, because it represents a physical quantity (i.e. tons of sugar)
The value of S can be any value greater than 0
Hence, the domain of the function is [0, ∞)
The range
This is the possible C values of the function.
The function is given as:
C = 130S + 3500
When S = 0
C = 130(0) + 3500
C = 3500
The above means that:
C cannot be less than 3500
The value of C can be any value greater than 3500
Hence, the range of the function is [3500, ∞)
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How do you classify -15
-15 is an integer , rational and a real number
What are rational,real numbers and integers?Real numbers are mainly classified into rational and irrational numbers. Rational numbers include all integers and fractions. All negative integers and whole numbers make up the set of integers. Whole numbers comprise of all natural numbers and zero.
A negative number is not a natural number.
This means that -15 is a real number because real number comprises of rational and irrational number and rational numbers include negative numbers and they are called negative integers.
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You are refilling your inventory of welcome packets for new customers. For each packet, it takes 5 minutes to print, 2 minutes to organize, and 5 minutes to proofread. The ink in the printer will need to be changed every 5 packets, which takes 3 minutes. You have 3 hours to dedicate to this task. Assume thathe ink in the printer was already changed before beginning and that you have to complete each packet before completing any steps for the next one. How many welcome packets will you be able to fully complete in the time allotted?
The number of welcome packets that you will be able to fully complete in the time allotted would be = 14
What is the time for refilling the packets?The time allotted for the refilling of the whole welcome packets = 3 hours
To convert to mins = 3 × 60 = 180 mins.
To run each packet will take the following time:
5 minutes to print,
2 minutes to organize, and
5 minutes to proofread which is a total of 12mins
But for every 5 packets = 5×12+3 = 63 mins.
Therefore X packets = 180 mins.
Make X packets the subject of formula;
X packets = 5 × 180/63
= 900/63
= 14.2
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ASAP HELP!! I think it’s A but I’m confused, please help!
Answer:
A
Step-by-step explanation:
5.7(3) can be expressed as a fraction
(573 -57)/90
516/90
Suppose that events F and S are conditional independent events given D and ~D respectively with p(F|D)=p(S|D)=0.9, p(~F|~D)=p(~S|~D)=0.9, and p(D)=0.2. Find p(D|F∩S).
P(D|FS)=.9529
If F and S are conditionally independent given D and ~D, then
P(FSD)= P(D)P(F|D)P(S|D)
P(FS~D) = P(~D)P(F|~D)P(S|~D)
P(F|~D) = 1 - P(~F|~D)
P(S|~D) = 1 - P(~S|~D)
P(~D) = 1 - P(D)
P(D|FS) = P(FSD)/(P(FSD) + P(FS~D))
P(F|D) = P(S|D) = .9
P(~F|~D) = P(~S|~D) = .9
P(D = .2)
Then, P(FSD) = P(D)P(F|D)P(S|D) = .2*.9*.9 = .162
P(FS~D) = P(~D)P(F|~D)P(S|~D) = (1 - .2)(1 - .9)(1 - .9)= .008
P(D|FS) = P(FSD)/(P(FSD) + P(FS~D)) = .162/(.162+.008) = 162/170=81/85 = .9529
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For 7.45 - 3.029 why do you rewrite 7.45 as 7.450
For 7.45 - 3.029 the reason why they rewrite 7.45 as 7.450 is so as to have both values in three decimal place so the calculation can be easier.
What is decimal place?It should be noted that the first digit after the decimal represents the tenths place then the next digit after the decimal could be reffered to as hundredths place however the remaining digits continue to fill in the place values until there are no digits left.
It should be noted that Decimal place value can be described as the place values of all the digits in a given decimal number.
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A tool set is on sale for $424.15. The original price of the tool spt was $499.00. What percent of the original price
is the sale price?
Answer:
94 percent.
Step-by-step explanation:
Since the tool set used to be worth 499, but is now worth 424.15, we divide the two prices.
Calculation.
424.15/499 = 0.944654788.
We are figuring out the percent, so we need to round.
0.94465478 is about 0.94
0.94 IS EQUALVENT to 94%, so that is our answer.
Find the centroid (x¯,y¯) of the triangle with vertices at (0,0), (10,0), and (0,6).
x¯=
y¯=
The triangle with vertices A(0 , 0), B(0 , 6), and C(10 , 0) has its centroid located at (5 , 3).
Centroid of a triangle refers to the point inside a triangle at which the perpendicular bisectors of the sides of a triangle intersect. This point is also equidistant from the three vertices.
Given the location of the three vertices, there are different methods that can be used to locate the circumcenter of the triangle.
First, try to graph and visualize the triangle formed by the three vertices. (see photo)
From there, we can say that triangle ABC is a right-angled triangle with line BC as the hypotenuse.
One of the properties of the circumcenter of a triangle states that the circumcenter lies in the middle of a hypotenuse if it is a right-angled triangle.
To get the circumcenter, find the midpoint of the line BC.
midpoint = M(xm ,ym) = [(x1 + x2)/2 , (y1 + y2)/2]
M(xm ,ym) = [(0 + 10)/2 , (6 + 0)/2]
M(xm ,ym) = (5 , 3)
Hence, the centroid is located at (5 , 3).
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An entry-level civil engineer earns an average bi-weekly net pay of $2,175.25. The engineer has created a monthly budget using the following percentages for expenses:
Percent
Housing 35%
Food/Household 10%
Savings 10%
Transportation 15%
Debt 5%
Entertainment 6%
Medical/Personal Care 5%
Giving 5%
Clothing 4%
Miscellaneous 5%
Which balance sheet correctly represents the engineer's income, expenses, and balance?
Income
Amount
Bi-weekly income $2,175.25
Total Monthly Income $2,175.25
Expenses
Percent Amount
Housing 35% $761.34
Food/Household 10% $217.53
Savings 10% $217.53
Transportation 15% $326.29
Debt 5% $108.76
Entertainment 6% $130.52
Medical/Personal Care 5% $108.76
Giving 5% $108.76
Clothing 4% $87.01
Miscellaneous 5% $108.76
$2,175.25
Balance
Income $2,175.25
Expenses $2,175.25
Balance $0
Income
Amount
Bi-weekly income $2,175.25
Total Monthly Income $3,262.88
Expenses
Percent Amount
Housing 35% $1,142.01
Food/Household 10% $326.29
Savings 10% $326.29
Transportation 15% $489.43
Debt 5% $163.14
Entertainment 6% $195.77
Medical/Personal Care 5% $163.14
Giving 5% $163.14
Clothing 4% $130.52
Miscellaneous 5% $163.14
$3,262.88
Balance
Income $3,262.88
Expenses $3,262.88
Balance $0
Income
Amount
Bi-weekly income $2,175.25
Total Monthly Income $4,713.04
Expenses
Percent Amount
Housing 35% $1,649.56
Food/Household 10% $471.30
Savings 10% $471.30
Transportation 15% $706.96
Debt 5% $235.65
Entertainment 6% $282.78
Medical/Personal Care 5% $235.65
Giving 5% $235.65
Clothing 4% $188.52
Miscellaneous 5% $235.65
$4,713.04
Balance
Income $4,713.04
Expenses $4,713.04
Balance $0
Income
Amount
Bi-weekly income $2,175.25
Total Monthly Income $4,350.50
Expenses
Percent Amount
Housing 35% $1,522.68
Food/Household 10% $435.05
Savings 10% $435.05
Transportation 15% $652.58
Debt 5% $217.53
Entertainment 6% $261.03
Medical/Personal Care 5% $217.53
Giving 5% $217.53
Clothing 4% $174.02
Miscellaneous 5% $217.53
$4,350.50
Balance
Income $4,350.50
Expenses $4,350.50
Balance $-
PLEASE HELP
The balance sheet that correctly represents the engineer's income, expenses and balance is balance number 4.
How tp determine percentages of income?We should know that balance sheet is a summary of assets and liabilities and income and expenses of a legal person.
We are told that the the balance sheet shows a bi-weekly net pay
This implies that a month has two bi-weeks. therefore every income and expenses is multiplied by 2 to get the following figures.
Income Amount
Bi-weekly income $2,175.25
Total Monthly Income $4,350.50
Expenses Percent Amount
Housing 35% $1,522.68
Food/Household 10% $435.05
Savings 10% $435.05
Transportation 15% $652.58
Debt 5% $217.53
Entertainment 6% $261.03
Medical/Personal Care 5% $217.53
Giving 5% $217.53
Clothing 4% $174.02
Miscellaneous 5% $217.53
$4,350.50
Balance
Income $4,350.50
Expenses $4,350.50
Balance $0
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