Answer:
Step-by-step explanation: 5.6 / 8 = 0.7
I need the steps to solve this question any help
The solution is:
Net income = $31,130
Total Assets = Owner's Equity and Liabilities = $104,230
What is income?Income can be stated as the consumption and saving opportunity gained by an entity within a specified timeframe, which is normally expressed in monetary terms. Income is that which means difficult to define conceptually and the definition may be different across fields.
here, we have,
The Income Statement of Profit or Loss and the Statement of Financial Position can be prepared as follows:
Sugar Almonds Ltd
Income Statement of Profit or Loss
For the Year Ended 31st December 2020
Particulars $ $
Sales Revenue 93,700
Cost of sales:
Opening inventory 12,000
Purchases 49,000
Closing inventory - income statement (24,350)
Cost of sales (36,650)
Gross profit 57,050
Operating expenses:
Administrative Expenses (850)
Rent paid (2,000)
Telephone (900)
Wages (21,650)
Travel expenses (330)
Total operating expenses (25,730)
Interest income (expense):
Interest paid (190)
Net income 31,130
Sugar Almonds Ltd
The Statement of Financial Position
As at 31st December 2020
Particulars $ $
Fixed Assets
Premises at cost 70,000
Vehicles at cost 5,800
Total Fixed Assets 75,800
Current Assets
Cash 630
Bank 2,100
Closing inventory - Statmt of fin positn 24,350
Trade Receivables 1,350
Total Current Assets 28,430
Total Assets 104,230
Owner's Equity
Capital 72,000
Drawings (6,450)
Net income 31,130
Total Owner's Equity 96,680
Current Liabilities
Trade Payables 6,400
VAT 1,150
Total Current Liabilities 7,550
Owner's Equity and Liabilities 104,230
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The box plot displays the number of push-ups completed by 9 students in a PE class.
A box plot uses a number line from 9 to 45 with tick marks every 2 units. The box extends from 17.5 to 40.5 on the number line. A line in the box is at 30. The lines outside the box end at 10 and 42. The graph is titled Push-Ups In PE and the line is labeled Number of Push-Ups.
Which of the following represents the value of the lower quartile of the data?
42
40.5
17.5
10
Given that 17.5 is the bottom end of the box, the lower quartile's value equation (Q1) must fall between 17.5 and 30. Hence, the appropriate response is 17.5
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
25% of the data fall inside the lower quartile (Q1), which is represented by that number. Q1 is situated near the bottom of the box in the box plot.
According to the description, the box's boundary is at 30, and its size ranges from 17.5 to 40.5 on the number line. As a result, the median value of the middle 50% of the data is 30, with a range of 17.5 to 40.5.
There are some data points outside the middle 50% since the lines outside the box finish at 10 and 42.
Given that 17.5 is the bottom end of the box, the lower quartile's value (Q1) must fall between 17.5 and 30. Hence, the appropriate response is
17.5
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Find the probability that one client drives less than 10,000 miles a year and has an accident
The probability that one client drives less than 10,000 miles a year and has an accident is 0.06.
What is probability?The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%Given is a table as shown in the image attached.
It is aske to find the probability that one client drives less than 10,000 miles a year and has an accident. Form the table, we can write the cell corresponding to driving less than 10,000 miles and having the accident as 0.06.
Therefore, the probability that one client drives less than 10,000 miles a year and has an accident is 0.06.
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Which of the following can be used to evaluate the series 5E n=1 6(0.6)n-1
Answer is C
A geometric series is an expression that results from adding all the elements in a geometric order. The right answer is B.
A geometric sequence is what?A geometric series is an expression that results from adding all the elements in a geometric order.
The given series is a geometric series in the form , where
The series has 5 terms, n = 5The first term of the series is 6, a₁ = 6The common ratio between the terms, r= 0.6Now, the geometry series' total can be expressed as,
[tex]\begin{aligned}\text { Sum } & =\mathrm{a}_1 \frac{\left(1-\mathrm{r}^{\mathrm{n}}\right)}{(1-\mathrm{r})} \\& =6 \frac{\left(1-0.6^5\right)}{(1-0.6)}\end{aligned}[/tex]
Hence, the correct option is C.
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construct a right angle triangle with one side 4cm and hypotenuse 5cm.
Answer:
See the explanation below.
Step-by-step explanation:
You need to calculate the remaining side.
Pythagorean theorem: c^2 = a^2 + b^2
=> 5^2 = 4^2 + b^2
b^2 = 25 - 16 = 9
b = √9 = 3
Draw a right triangle with the sides of 3cm and 4cm are perpendicular to form 90 degrees angle. Then connect the ends of 2 lines to form the hypotenuse which will be 5 cm long.
Graph the following: f(x)= 1/2 x + 5 and (x)= 1/x
How many solutions are present?
a. 2
b. 3
c. 1
d. 0
Answer:
Below
Step-by-step explanation:
Where the graphs cross or touch each other is a solution.....see graph below ....how many solutions do YOU see ?
In a group of 15 children, 5 said they are an only child, 3 said they have 1 sibling only, 4 said they have exactly 2 siblings, and 3 said they have exactly 3 siblings.
What is the average number of siblings for this group?
Enter your answer as a decimal, rounded to the nearest tenth, in the blank.
Answer:
1.3
Step-by-step explanation:
To find the average number of siblings for the group, we need to calculate the total number of siblings and divide by the total number of children.
Out of the 15 children:
5 are only children, so they have 0 siblings each.
3 have 1 sibling each, so there are 3 * 1 = 3 siblings in total.
4 have 2 siblings each, so there are 4 * 2 = 8 siblings in total.
3 have 3 siblings each, so there are 3 * 3 = 9 siblings in total.
The total number of siblings is 0 + 3 + 8 + 9 = 20.
The average number of siblings for the group is 20/15 = 1.3 (rounded to the nearest tenth).
Therefore, the average number of siblings for this group is 1.3.
Answer:
1.3
Step-by-step explanation:
function D gives the cost, in cents, of buying M mangoes at the fresh market. Which statement represents the meaning of the equation D(5)=100
According to the calculation D(5) = 100, the price of 5 mangoes at the fresh market will be $1.00, or 100 cents.
What is a formula or equation?Your example is an equation because a calculation is any formula with an equals symbol. Due to scientists' adoration of equal signs, equations are commonly used in mathematical expressions. A recipe is a collection of guidelines for producing a specific outcome.
The equation D(5) = 100 means that if you buy 5 mangoes at the fresh market, the cost will be 100 cents, or $1.00.
In general, the function D gives the cost (in cents) of buying M mangoes at the fresh market, so D(M) represents the cost of buying M mangoes. Therefore, D(5) means that we are evaluating the function D when M = 5, or when we buy 5 mangoes. The value of D(5) is 100 cents, or $1.00, which represents the cost of buying 5 mangoes at the fresh market.
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The probability that a person with certain symptoms has hepatitis is 0.8. The blood test used to confirm this diagnosis gives positive results for 94% of people with the disease and 5% of those without the disease. What is the probability that an individual who has the symptoms and who reacts positively to the test actually has hepatitis?
The likelihood that someone with symptoms and a positive test has hepatitis is therefore 0.994, or almost 99.4%.
What is the probability that an individual who has the symptoms and who reacts positively to the test actually has hepatitis?We need to apply Bayes' theorem to determine the likelihood that a person with symptoms and a positive test actually has hepatitis. Let H stand for the occurrence that the person has hepatitis and T stand for the occurrence that the test is positive. Next, we have:
P(T | H) * P(H) / P(T | H) = P(H | T) (T)
where P(H) is the prior probability of the individual having hepatitis (which is 0.8), P(H) is the likelihood of the individual testing positive, and P(T) is the probability of testing positive given that the individual has hepatitis.
We must apply the law of total probability to determine P(T):
P(T) is equal to P(T | H)* P(H) plus P(T | not H)* P. (not H)
P(T | not H) is the complement of P(H), and P(not H) is the probability of testing positive if the person does not have hepatitis (0.05). (i.e., the probability of not having hepatitis, which is 0.2).
Now that the values have been inputted, we can calculate:
P(T) = (0.94 * 0.8) + (0.05 * 0.2) = 0.752 P(H | T) = (0.94 * 0.8) / 0.752 = 0.994
Although there is a strong likelihood that this is the case, it's crucial to remember that no medical test is error-free, and false positives and false negatives can still happen.
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A certain disease has an incidence rate of 0.4%. If the false negative rate is 8% and the false positive rate is 2%, compute the probability that a person who tests positive actually has the disease
Answer:
To compute the probability that a person who tests positive actually has the disease, we need to use Bayes' theorem:
P(D|P) = P(P|D) * P(D) / P(P)
where:
P(D|P) is the probability of having the disease given a positive test result
P(P|D) is the probability of testing positive given that the person has the disease (also known as sensitivity), which is 1 - false negative rate = 0.92 in this case
P(D) is the incidence rate of the disease, which is 0.4% = 0.004
P(P) is the probability of testing positive, which can be computed using the false positive rate as 1 - specificity = 1 - 0.98 = 0.02
Plugging in the values, we get:
P(D|P) = 0.92 * 0.004 / 0.02 = 0.184
Therefore, the probability that a person who tests positive actually has the disease is 0.184, or about 18.4%.
Can someone help I lost my brain cells xd 7 only
Answer: 81.75
Make 7 an improper fraction:
[tex]\frac{109}{12}[/tex] = [tex]\frac{k}{9}[/tex]
(9)(109) = 12k
981 = 12k
k = 81.75
[tex]\frac{2}{5+\sqrt{3} }[/tex]
[tex]\frac{2}{5+\sqrt{3}}[/tex] fraction can be simplified to [tex](10 - \sqrt{23}) / (22)[/tex] .
What are fractions?
A fraction is a number that represents a part of a whole. It consists of two numbers, a numerator and a denominator, separated by a horizontal or diagonal line. The numerator represents the number of parts being considered, while the denominator represents the total number of equal parts in the whole.
For example, 1/2 represents one part out of two equal parts, or one-half of the whole. Fractions can also represent values less than one, greater than one, or even negative values.
To rationalize the denominator, we can multiply both the numerator and denominator by the conjugate of the denominator, which is 5 - 3^(1/2):
[tex]\frac{2}{5+\sqrt{3}}[/tex] * [tex]\frac{(5-\sqrt{3})}{(5-\sqrt{3})}[/tex]
= [tex]\frac{2*(5-\sqrt{3})} {(5+\sqrt{3}) (5-\sqrt{3})}[/tex]
= [tex](10 - \sqrt{23}) / (25 - 3)[/tex]
= [tex](10 - \sqrt{23}) / (22)[/tex]
Therefore, [tex]\frac{2}{5+\sqrt{3}}[/tex] can be simplified to [tex](10 - \sqrt{23}) / (22)[/tex]
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Complete question:
simplify the given fraction [tex]\frac{2}{5+\sqrt{3}}[/tex]
These are two triangles, AB = 50, B = 40 degrees, and find the value of CE
The value of the length CE is 19.3 units
How to determine the length CEFrom the question, we have the following parameters that can be used in our computation:
The right triangle
Start by calculating the length AE using the following sine ratio
sin(B) = AE/AB
Substitute the known values in the above equation, so, we have the following representation
sin(40) = AE/50
So, we have
AE = 50 * sin(40)
Evaluate
AE = 32.14
From the figure, we can see that
Triangle CDE is 3/5 of triangle ABE
Using the above as a guide, we have the following:
CE = 3/5 * AE
So, we have
CE = 3/5 * 32.14
Evaluate
CE = 19.284
Approximate
CE = 19.3
Hence, the length is 19.3 units
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Test Prep While working at the school store, John sold a jacket for $40.00 and notebooks for $1.50 each. If he collected $92.50, how many notebooks did he sell?
By answering the above question, we may state that John consequently variable sold 35 notepads.
What is a Variable?A variable is anything that may be altered in the context of an experiment or mathematical idea. A single symbol is frequently used to denote a variable. Generic symbols for variables are the letters x, y, and z. Variables are qualities with a wide range of values that may be investigated. These include characteristics like height, age, wealth, place of birth, academic standing, and kind of residence, to mention a few. The two primary groups of variables can be separated using numerical and categorical approaches.
Let's define the variables first:
Let's call John's sales of notebooks "n" the quantity.
Each notebook costs $1.50, hence the whole profit from notebook sales is $1.50.
John earned a total of $92.50, according to the issue, thus we can create the following equation:
$40.00 + 1.5n = $92.50
Now that "n" is solved, we can:
$1.5n = $92.50 - $40.00
$1.5n = $52.50 \sn = 35
John consequently sold 35 notepads.
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Find the value of 'x'.
A. 21
B. 49
C. 3
D. 7
7 cm
3x cm
x cm
21 cm
7 cm
im pretty sure u need to add more information to this question, but imma assume an answer
so if it's a square
21cm = 3xcm
7cm = xcm
so x = 7
HELPPP PLS thank you pls
The piecewise function graphed is given as follows:
y = x² + 4, x < 2.y = -x + 4, x ≥ 2.How to define the piecewise function?A piece-wise function is a function that has different definitions, based on the input x of the function.
For this problem, the intervals are given as follows:
x < 2.x ≥ 2.For the first interval, the interval is open due to the open circle, and the quadratic function is a translation up 4 units of y = x², hence^:
y = x² + 4, x < 2.
For the second interval, which is the closed interval, we have a decaying line with slope of -1 and x-intercept of 4, hence:
y = -x + b
0 = -4 + b
b = 4.
Hence:
y = -x + 4, x ≥ 2.
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There are 5 numbers in a set of data. There are no repeated numbers in the set. Which
measure of data must represent a number in the set that is greater than 2 of the numbers in
the set and less than 2 of the numbers?
A Median
B Mean
с Mode
D Range
What is the answer pls help
The measure of data that must represent a number in the set that is greater than 2 of the numbers in the set and less than 2 of the numbers is the median.
The median is the middle value in a set of data when the values are listed in order from least to greatest (or greatest to least). If there are an odd number of values in the set, the median is the middle value. If there are an even number of values in the set, the median is the average of the two middle values.
If a number in the set is greater than 2 of the numbers and less than 2 of the numbers, then it falls between the first and last quartile of the data set. Therefore, the median, which represents the middle value in the data set, must also fall between the first and last quartile, and thus it must represent a number in the set that is greater than 2 of the numbers and less than 2 of the numbers.
bill is in the process of installing an above ground swimming pool in his yard. if the diameter of the pool is 35 feet what is the approximate circumference of the pool
Answer:
Step-by-step explanation:
[tex]C=\pi d[/tex]
[tex]=\pi \times 35[/tex]
[tex]\approx 109.96 feet[/tex]
Answer:
110. feet approximately
Step-by-step explanation:
circumference means a closed boundary of a curved shape. Mainly known as a circle. To find circumference, use the formula c= π (pie) times diameter.
35 × π ≈ 110
Hope this helps :)
write cubed root 21 in the form 21k
The general format of the exponential expression is given as follows:
[tex]a^{\frac{n}{m}}[/tex]
In which:
The base is given by a.The exponent is given by n.The radicand is given by m.The radical form is given as follows:
[tex]\sqrt[m]{a^n}[/tex]
Meaning that the equivalence relation is given as follows:
[tex]\sqrt[m]{a^n} = a^{\frac{n}{m}}[/tex]
That is:
The radicand is the numerator of the fraction in the exponent.The radical is the denominator of the fraction in the exponent.Hence the relation for the cube root of 21 is given as follows:
[tex]\sqrt[3]{21} = 21^{\frac{1}{3}}[/tex]
(applying the conversion of the fractional exponent to a radical expression).
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What are the terms in the expression 3y+5+y
Answer: algebraic expression, coefficient
Step-by-step explanation:
Which of these statements is true? A.The radius of a circle is about three times its diameter.B. The diameter of a circle is equal to the radius.C. The diameter of a circle is two times the radius. D. The radius and the diameter are not related.
C. The diameter of a circle is two times the radius.
Find two values of θ, 0≤θ<2π, that satisfy the following equation.
Answer:
π/4, 7π/4
Step-by-step explanation:
You want the values of θ in the range 0 ≤ θ ≤ 2π such that cos(θ) = √2/2.
CosineThe cosine function has the value √2/2 for angles ±45° = ±π/4 radians and those angles added to an integer multiple of 2π. In the domain of interest, the angles are ...
θ = π/4 and 7π/4
If we invest $9,000 at 10% simple interest, how much will we have saved in 15 years?
Answer:
$13,500
Step-by-step explanation:
I = (P·r·t) / 100
I = (9,000·10·15) / 100
I = 1,350,000 / 100
I = $13,500
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Select all of the following sets in which the number 23 is an element
According to the definition of different number sets, 23 is an element of:
1) Natural number set
2) Whole number set
3) Integers set
4)Rational number set ( it can be written as 23/1)
A similar question is attached below.
What are the different number sets?
The different number sets are:
Natural numbersNatural numbers are the collection of positive integers from 1 to infinity. The letter "N" stands for the set of natural numbers.
Whole numbersNatural numbers with a zero are another name for whole numbers. The set is made up of non-negative integers without any fractional or decimal parts. The letter "W" stands for the whole number set.
Integers
The set of all whole numbers with a negative set of natural numbers is known as an integer. The letter "Z" stands for the integer set.
Rational numbersEvery integer that can be expressed as p/q, or as a ratio of one number to another, is referred to be a rational number. The letter "Q" can be used to signify a rational number.
Irrational numberThe number that cannot be represented by p/q. It denotes a number as being irrational if it cannot be expressed as a ratio of one to another. The letter "P" is used to signify it.
Therefore according to the definition of different number sets, 23 is an element of:
1) Natural number set
2) Whole number set
3) Integers set
4)Rational number set ( it can be written as 23/1)
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Please help me. it’s timed!!!! Use the drawing tools to form the correct answer on the graph.
Plot function h on the graph.
J-4,
lz + 5,
h (x)
=
x < -3
X -3
Answer:
The function h(x) is defined as:
h(x) = { x + 4, if x < -3
{ 2x + 5, if x >= -3
To plot this function on the graph, you would plot the points (-4, 0) and (-3, -1) for the first part of the function, and then plot the line with slope 2 passing through the point (-3, 2) for the second part of the function.
Step-by-step explanation:
Solve the system of equations below, using the technique of your choice.
x+y=8
-x+4y= 2
The solution to the system of equations is x = 6 and y = 2.
The system of equations can also be solved using the elimination method.
what is the elimination method?We are aware that a system of linear equations is a collection of two or more equations with at least two unknown variables. Finding the answers to the unknown variables in a system of equations is the process of solving a linear equation. There are numerous ways to identify the answers to the unknown variables. These include the cross-multiplication method, elimination method, substitution method, and graphic method.
from the question:
A system of equations can be solved in a variety of methods, including substitution, elimination, and matrices. I'll apply the substitution technique here:
x = 8 - y is the result of the first equation.
We can solve for y by substituting this expression for x in the second equation:
-x + 4y = 2
-(8 - y) + 4y = 2 (substituting x = 8 - y)
-8 + 5y = 2 (simplifying)
5y = 10 (adding 8 to both sides)
y = 2 (dividing by 5)
Knowing y, we can now use this quantity to solve one of the initial equations to determine x:
x + y = 8
x + 2 = 8 (substituting y = 2)
x = 6 (subtracting 2 from both sides)
Hence, x = 6 and y = 2 are the answers to the system of equations.
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Select one,
{-3, -2,-1,0}
{-3,-2,2,3}
(-3,-2,-1,-0]
{-3, -2,-2,-3)
The domain of the function shown on the graph is {-3, -2, 2, 3 }.
What is the domain of the function on the graph?The domain of a function is the set of all possible input values (also known as the independent variable or x-values ) for which the function produces a valid output (also known as the dependent variable or y-values).
In other words, it is the set of values that can be plugged into the function to produce a meaningful result.
In this case, there are four (4) points on the graph.
The coordinates of the points are;
Point 1: x = -3 and y = 5Point 2: x = -2 and y = 5Point 3: x = 2 and y = 5Point 4: x = 3 and y = 5Since the domain are the set of the x-values, the domain of the function of the graph will be;
Domain : {-3, -2, 2, 3 }
Therefore, option B) {-3, -2, 2, 3 } is the correct answer.
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Find the area of triangle ABC to nearest tenth.
12. A = 20, c = 4 cm, b = 7 cm
13. C = 55, a = 10 m, b = 15 m
14. B = 42, a = 3 ft, c = 9 ft.
The areas of triangles ABC are
12. The area is 4.8 cm²
13. The area is 61.4 m²
14. The area is 9.0 ft²
What is the area of a triangle?The area of a triangle is the region occupied by the triangle.
12. Area of triangle ABC
Given that
A = 20, c = 4 cm, b = 7 cmArea of triangle ABC is A = 1/2bcsinA
= 1/2 × 7 cm × 4 cm × sin20°
= 7 cm × 2 cm × sin20°
= 14 cm² × sin20°
= 14 cm² × 0.3420
= 4.788 cm²
≅ 4.8 cm²
The area is 4.8 cm²
13. Area of triangle ABC
Given that
C = 55, a = 10 m, b = 15 mArea of triangle ABC is A = 1/2absinC
= 1/2 × 10 m × 15 m × sin55°
= 5 m × 15 m × sin55°
= 75 cm² × sin55°
= 75 cm² × 0.8192
= 61.436 cm²
≅ 61.4 cm²
The area is 61.4 cm²
14. Area of triangle ABC
Given that
B = 42, a = 3 ft, c = 9 ft mArea of triangle ABC is A = 1/2acsinB
= 1/2 × 3 ft × 9 ft × sin42°
= 1/2 × 27 ft² × sin42°
= 13.5 ft² × sin42°
= 13.5 ft² × 0.6691
= 9.033 ft²
≅ 9.0 ft²
The area is 9.0 ft²
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Jenny tiene 50 fichas cuadradas. Ordena las fichas en una matriz rectangular de 4 hileras. ¿Cuántas fichas sobrarán?
If Jenny has 50 square tiles and arranges them in a rectangular array with 4 rows, then she would have a total of 48 tiles, with 2 tiles left over.
How to find the number of tilesIf Jenny arranges the tiles in a rectangular array with 4 rows, this means each row will have 50/4 = 12.5 tiles. However, since we cannot have half a tile, we need to round down to the nearest whole number, which is 12.
Therefore, each row will have 12 tiles, and the total number of tiles used will be 4 x 12 = 48. To find out how many tiles are left over, we need to subtract the total number of tiles used from the original number of tiles: 50 - 48 = 2. So, there will be 2 tiles left over.
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THE ANSWER IS A & B!! Select the two values of x that are roots of this equation. x25x+3=0 A. x = B. D. X = X = X = 5+√13 2 5+√37 2 5-13 2 5-√37
The two x values that make up the equation's roots are:
x = [tex]\frac{5+\sqrt{13} }{2}[/tex]
x =[tex]\frac{5-\sqrt{13} }{2}[/tex]
These two items are the two answers to the problem.
what are equations?A mathematical definition of an equation is a claim that two expressions are equal and joined by the equals sign.
Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero. As we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.
from the question:
We can use the quadratic formula to determine the roots of the equation [tex]x^2 - 5x + 3 = 0.[/tex]
x = (-b ± [tex]\frac{b^2 - 4ac}{2a}[/tex])
where the quadratic equation's coefficients are a, b, and c.
With respect to our equation, we have:
a = 1, b = -5, and c = 3
These values are entered into the quadratic formula as follows:
x = (-(-5) ± [tex]\sqrt(-5)^2}[/tex] - 4(1)(3))) / 2(1)
x = (5 ± [tex]\frac{{13}}{2}[/tex])
The two x values that make up the equation's roots are:
x = [tex]\frac{5+\sqrt{13} }{2}[/tex]
x =[tex]\frac{5-\sqrt{13} }{2}[/tex]
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