Let's assume that the marked price of the article is "M" dollars. The marked price of the article is approximately $4941.18.
According to the problem statement, the dealer gives a discount of 10%, so the selling price (S) of the article is:
S = M - 0.10M = 0.90M
Now, the GST of 12% is applied on the marked price, so the amount of GST paid is:
GST = 0.12M
Therefore, the total amount paid by the consumer (C) is:
C = S + GST
C = 0.90M + 0.12M
C = 1.02M
We are given that the consumer pays $5040, so we can set up the equation:
1.02M = 5040
Solving for M, we get:
M = 5040 / 1.02
M ≈ 4941.18
Learn more about discount at: brainly.com/question/13501493
#SPJ11
What are the solutions to the equation below?
2x^2 - x + 1 = 0
1/4 - startroot 5 endroot/ 4 and 1/4 + startroot 5 endroot / 4
1/4 - startroot 7 endroot/ 4 and 1/4 + startroot 7 endroot/ 4
1/4 - startroot 7 endroot/ 4 i and 1/4 + startroot 7 endroot/4 i
1/4 - startroot 5 endroot/ 4 i and 1/4 + startroot 5 endroot/4 i
The solutions of the given quadratic equation is; (1/4) + √7i/4 and (1/4) - √7i/4
How to find the solution of a quadratic equation?We are given the quadratic equation as;
2x² - x + 1 = 0
To solve this to find the root, we will use the quadratic formula which is given by;
x = [-b ± √(b² - 4ac)]/2a
Now, from the given quadratic equation, we can say that the values of a, b and c are;
a = 2; b = -1 and c = 1
Thus;
x = [-(-1) ± √((-1)² - 4(2 * 1))]/2(2)
x = [1 ± √(1 - 8)]/4
x = [1 ± √(-7)]/4
x = (1/4) ± √7i/4
Thus;
x = (1/4) + √7i/4 and (1/4) - √7i/4
Read more about roots of quadratic equations at; https://brainly.com/question/1214333
#SPJ1
Section 1 Topic 6 Radical Expressions and Expressions with Radical Exponents
Directions: Match the column on the left with the possible answers from the two columns on
the right. Some questions will have more than one answer and some possible answers will
not be used.
Let’s apply this understanding to situations when we’re given the context and function.
A new species of fish is released into a lake, and the fish multiply quickly. The growth of their population is modeled by the exponential function ()=5 where is the time in weeks after the release and is a positive unknown base. According to the model, how many fish of the new species were released initially?
The function [tex]P(t)=5(b)^t[/tex], The initial number of fish species released was 5.
The function [tex]S(t)=152(1.045)^t[/tex], The growth rate is 4.5%
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
Given the function [tex]P(t)=5(b)^t[/tex], The initial number of fish species released was 5.
The function [tex]S(t)=152(1.045)^t[/tex], The growth rate is 4.5%
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Sarah has just opened her own nail salon. Based on experience, she knows that her daily profit, P, can be modelled by = −122 + 168 − 510, where x is the number of clients per day. How many clients should she book each day to maximize her profit?
Answer:
Step-by-step explanation:
p=-12x^2 + 168 - 510
isolate the varible by diveding each side by factors that dont conatin the varible
x= square root of -p+342/3/2
x= - square root of -p+ 342/3/2
I hope this has helped if you need any clarfcation just ask
IM GOING TO RIDE A ROLLER COASTER AND IM SCARED BUT IM NEXT HELP
Answer:
Ok nice! Have Fun! Don't be scared it will be ok just face your fear and it will be fun. I never seen or been here. What is this amusement park called and where is it?
Ali is moving into her new apartment. Her bedroom on the floor plan is 3 inches. If the floor plan uses a scale of 1 inch = 4 feet, what is the actual size of the bedroom?
Answer:
12 feet.
Step-by-step explanation:
1 inch = 4 feet.
Multiply 3 by 4.
3×4=12
I multiplied 3 by 4 because 1-inch equals 4 feet, which means if we multiply both terms by 3, you will get 3 inch = 12 feet.
Hope this helps!
v(t)=37,036(0.84)¹ What is the initial cost of the car, and what will the car be worth after 4 years? Round to the nearest whole number.
The initial value is 37,036 dollars and in 4 years, the value will be 18,439.16 dollars.
How to work with the exponential decay equation?Here we have an exponential decay that models the value of a car as time passes, the exponential decay is:
[tex]v(t) = 37,036*(0.84)^t[/tex]
The initial value is what we get when we evaluate in t = 0.
[tex]v(0) = 37,036*(0.84)^0 = 37,036[/tex]
The initial value is 37,036 dollars.
The value in 4 years is what we get when we evaluate in t = 4:
[tex]v(4) = 37,036*(0.84)^4 = 18,439.16[/tex]
In 4 years, the value will be 18,439.16 dollars.
If you want to learn more about exponential decays:
https://brainly.com/question/11464095
#SPJ1
- What is the value of x in the figure
(5x)
140
Answer:
Step-by-step explanation:
5x = 140
= x = 140/5
= x = 28
find the value of k.
(x^2+5x+k)/(x+6) has a remainder of 9.
if anyone could help, please do!! this is urgent!
The value of k in the polynomial is 3
How to solve for k?The quotient is given as:
(x^2+5x+k)/(x+6)
The remainder is 9
Set the denominator to 0
x + 6 = 0
Solve for x
x = -6
This means that:
f(-6) = 9
So, we have:
(-6)^2 + 5(-6) + k = 9
Evaluate
6+ k = 9
Subtract 6 from both sides
k = 3
hence, the value of k is 3
Read more about remainder at:
https://brainly.com/question/23940696
#SPJ1
24. A dealer paid 72 cents for a fountain pen listed at 90 cents. What was the rate of discount allowed him? (A) 5% (B) 2% (C) 8% (D) 20%
Answer:
20%
Step-by-step explanation:
To find the percentage of change find the difference between the two numbers, divide by the original number, then multiply by 100.
Find difference
90-72=18
Divide difference by original
18/90=0.2
Multiply by 100
0.2*100=20
A system of three linear equations in three unknowns can have exactly three solutions.
The given statement is false. The option for the reason is the first option:
" The statement is false. A system of three linear equations in three unknowns can have one solution, an infinite number of solutions, or no solutions."
A system of linear equations is a grouping of one or more linear equations with the same variables.
A linear system solution is the assignment of values to variables in such a way that all of the equations are concurrently fulfilled.
For a system of equations, three types of solutions exist:-
One solution: When the lines (planes) intersect at a point.No Solution: When the lines (planes) are parallel.Infinitely many solutions: When the lines (planes) overlap each other.Thus, the given statement is false. The option for the reason is the first option:
" The statement is false. A system of three linear equations in three unknowns can have one solution, an infinite number of solutions, or no solutions."
Learn more about the system of equations at
https://brainly.com/question/24085666
#SPJ4
The question is incomplete. For the complete question, check the attachment.
Scrapper Elevator Company has 20 sales representatives who sell its product throughout the United States and Canada. The number of units sold last month by each representative is listed below. Assume these sales figures to be the population values. 2 3 2 3 3 4 2 4 3 2 2 7 3 4 5 3 3 3 3 5 Required: a. Compute the population mean. (Round your answer to 1 decimal place.) b. Compute the standard deviation. (Round your answer to 2 decimal places.) c. If you were able to list all possible samples of size five from this population of 20, how would the sample means be distributed
Using the concepts of mean and standard deviation, and the central limit theorem, it is found that:
a. The mean is of: 3.3
b. The standard deviation is of: 1.23.
c. They would have a mean of 3.3 and a standard deviation of 0.55.
What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.For this problem, the mean is given by:
M = (2 + 3 + 2 + 3 + 3 + 4 + 2 + 4 + 3 + 2 + 2 + 7 + 3 + 4 + 5 + 3 + 3 + 3 + 3 + 5)/20 = 3.3
The standard deviation is:
[tex]S = \sqrt{\frac{(2 - 3.3)^2 + (3 - 3.3)^2 + \cdots + (3 - 3.3)^2 + (5 - 3.3)^2}{20}} = 1.23[/tex]
What does the Central Limit Theorem states?It states that for distribution of sample means of size n:
The mean remains constant.The standard deviation is of S/sqrt(n).Hence, since 1.23/sqrt(5) = 0.55, the sample means would have a mean of 3.3 and a standard deviation of 0.55.
More can be learned about the standard deviation of a data-set at https://brainly.com/question/24754716
#SPJ1
A nurse is administering a high-concentration potassium solution to a patient with a diet-based potassium deficiency. Unaware of the initial treatment, another nurse administers a drug that inhibits secretion of aldosterone to treat the same deficiency. Which of the following conditions will most likely occur as a result
Hyperkalemia is what is more likely to occur due to the results of the conditions.
What is hyperkalemia?This is used to refer to the condition where there is too much of potassium in the blood of a person.
The side effects is that the person would feel tiredness, weakness and he would feel abnormal heart beat.
Read more on hyperkalemia here:
https://brainly.com/question/9399811
#SPJ1
Find the perimeter of a parallelogram with corner points at (1,3), (4,7), (9,7), and (6,3)
Decimal approximation
thank you for your help!!
Answer:
20 units
Step-by-step explanation:
In 2016, 5,200 parking permits were issued in a city. The number of parking permits increases by 5% every year. Let y represent the number of parking permits issued x years since 2016. Which type of sequence does the situation represent? A.The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
B.
The situation represents an arithmetic sequence because the successive y-values have a common difference of 1.5.
C.
The situation represents a geometric sequence because the successive y-values have a common ratio of 1.5.
D.
The situation represents an arithmetic sequence because the successive y-values have a common difference of 1.05.
The situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
How to determine the situation?The given parameters are:
Initial = 5200
Rate = 5%
Because the population by 5% every year, then the situation is a geometric sequence.
The common ratio is then calculated as:
Ratio = 1 + Rate
This gives
Ratio = 1 + 5%
Evaluate
Ratio = 1.05
Hence, the situation represents a geometric sequence because the successive y-values have a common ratio of 1.05.
Read more about geometric sequence at:
https://brainly.com/question/11266123
#SPJ1
PLEASE HELP
If two lines are perpendicular, then the lines intersect to form four right angles that are 180° each.
False O True
Answer:
False
Step-by-step explanation:
[If two lines are perpendicular, then the lines intersect to form four right angles] It's true up till here, but a right angle is 90 degrees, not 180 degrees
What is the equation of a line that passes through the point -8,-4 and has a slope of 7/3
Answer: [tex]y+4=\frac{7}{3}(x+8)[/tex]
Step-by-step explanation:
See attached image.
A family arrives home at 01:10 after a journey that took 7 1/2 hours . At what time of the pervious day did bay start their journey ?
Answer:
they started their journey at 5:40
Y is inversely proportional to x, when Y = 2, x = 4.
Find the value of x when Y = 4.
The value of x when y =4 is 2
How to solve for x?An inverse proportion is represented as:
k = yx
Where
k represents the constant of proportion
When y = 2, x = 4.
So, we have:
k =2 * 4
k = 8
Substitute k = 8 in k = yx
So, we have:
yx = 8
When y = 4, we have:
4x = 8
Divide by 4
x = 2
Hence, the value of x when y =4 is 2
Read more about variation at:
https://brainly.com/question/14254277
#SPJ1
Please help me this is very confusing
Answer:
If f(-x) = f(x), f is even and is symmetric about y
If f(-x) = -f(x), f is odd and is symmetric about the origin
If [tex]f(-x)\neq f(x)[/tex] and [tex]f(-x)\neq -f(x)[/tex], f is neither even nor odd and does not have symmetry
Step-by-step explanation:
As we discussed in one of the previous questions, if f(-x) = f(x), we have an even function. One basic example of an even function is x^2 since (-x)^2 = x^2. On the other hand, if f(-x) = -f(x), we have an odd function. One common example is x^3 since (-x)^3 = -x^3. What we have not been over yet is the symmetry of the functions. In order to do this, let's examine x^2 and x^3. x^2, which is an even function, is symmetric to the y-axis. The graph is a parabola that looks exactly the same on the left and the right of the y-axis.
On the other hand, x^3, which is an odd function, is not symmetric to the y-axis. On the other hand, it is symmetric to the origin. You can imagine that if you flipped y = x^3 across the origin, you would end up getting a graph that looks exactly the same.
A function that is neither even nor odd, meaning [tex]f(-x)\neq f(x)[/tex] and [tex]f(-x)\neq -f(x)[/tex], one that is not odd or even, has no symmetry. It is not symmetric about the y-axis or the origin.
12 / (2+1) + 6 * 2 please help me and include steps i am not sure where to go or this
Answer:
12 / (2+1) + 6 * 2 = 16 (The answer is 16)
Step-by-step explanation:
Step 1: Calculate within parentheses ( 2 + 1 ) : 3
= 12/3 + 6 * 2
Step 2: Multiply and divide (left to right) 12/3 : 4
= 4 + 6 * 2
Step 3: Multiply and divide (left to right) 6 * 2 : 12
= 4 + 12
Step 4: Add and subtract (left to right) 4 + 12 : 16
= 16
Hope this helps out!
Where is the horizontal center of mass of the entire upper extremity?
Answer:
can you tell me please
Step-by-step explanation:
nicest
Find the surface area of the prism. Round to the nearest tenth if necessary.
The surface area of the prism is 544 mm²
How to determine the surface area
The formula is given thus;
SA=2B+ph
Where
B = area of the base
p = perimeter of the base
h = height
B = 1/2 h(b1+b2)
B = [tex]\frac{1}{2} * 8 * (17 + 9)[/tex]
B = 108 mm²
Perimeter = sum of length of sides
Perimeter = 17 + 9 + 15
Perimeter = 41 mm
Surface area = 2 ( 108 ) + 41 ( 8)
Surface area = 216 + 328
Surface area = 544 mm²
Thus, the surface area of the prism is 544 mm²
Learn more about surface area of a prism here:
https://brainly.com/question/1297098
#SPJ1
Use the Law of Sines to solve (if possible) the triangle for the value of c. Round answers to the nearest tenths. A = 27.5°, a = 15.0 cm, b = 36.4 cm
The law of sines cannot be used to calculate the side c.
How to solve for side c?The given parameters are:
A = 27.5°, a = 15.0 cm, b = 36.4 cm
Based on the above values,
The law of sines cannot be used to calculate the side c.
This is so because the angle C is not given
Read more about law of sines at:
https://brainly.com/question/17289163
#SPJ1
Whoever helps first get brainiest
Answer:
75
Step-by-step explanation:
Use PEMDAS (Perenthesis, Exponents, Multiply, Divide, Add, Subract)
45/5-6+24*3
9-6+24*3
9-6+72
3+72
75
Answer:
75
Step-by-step explanation:
PEMDAS:
45/5=9
24*3=72
9-6+72=75
The length of your school building is shown as 40 cm in a map. If the scale
is taken as 1 cm=Im to draw a map then what is the actual length of the school ?
The school building's actual length is 40 m.
How to estimate the actual length of the school building?Length exists as a measure of distance. In the International System of Quantities, length exists as a quantity with dimension distance. In most systems of measure a base unit for length is selected, from which all other units exist derived. In the International System of Units system, the base unit for length exists as the meter.
Given: School building length is given 40 cm on the map
scale used is 1 cm = 1 m
The scale utilized exists 1 cm = 1 m
1 cm in map = 1 m in actual
⇒ 40 cm in map = 40 m in actual
School building length in map = 40 cm
⇒ Actual Length of the school building is 40 m
Therefore, the school building's actual length is 40 m.
To learn more about centimeter and meter refer to:
https://brainly.com/question/17697023
#SPJ9
40 points please help
Answer:
five number summary is a specially useful in the scriptive analysing what during the premier league investigation of a large data set a summary consists of 5 values of the most extreme values in data set the maximum and minimum values of the lower and upper quality and the meridian
The probability that a professor in the business department is full time is 30%. If we randomly select 9 professors; What is the probability that 3 or fewer of them are FULL TIME
The probability that a professor in the business department is full time is [tex]30[/tex]%. If we randomly select [tex]9[/tex] professors; the probability that [tex]3[/tex] or fewer of them are FULL TIME is [tex]10[/tex]%
How can find the probability of full time ?
Probability of selecting [tex]3[/tex] from [tex]9[/tex]people = [tex]3/9[/tex]
Probability of selecting [tex]2[/tex] people= [tex]2/9[/tex]
Probability of selecting [tex]1[/tex] people=[tex]1/9[/tex].
Probability of selecting up to to 3 people is [tex]1/9+2/9+3/9 = 6/9[/tex].
Every person who got selected is full time person has probability [tex]0.3[/tex]
=> For selection of people up to [tex]3[/tex] is
[tex]=\frac{3}{9} *0.3\\=0.1\\[/tex]
[tex]=10[/tex]%
Learn more about the probability here :
https://brainly.com/question/28045841
#SPJ4
By using a number line, arrange each of the each of the following in descending order (a) 4 29upon 33, -2.365,5.5,-3 upon 4 (b) 5 upon 8,-8, 10 1 upon 2 , 5.855, - 2π
The arrangement of the numbers in descending order (largest to smallest) are as follows;
a). 5.5, 4, 29/33, -3/4, -2.365b). 10, 5.855, 5/8, 1/2 -2π, -8What is the arrangement of the numbers in descending order in each case?It follows from convention that the positive numbers are larger than negative numbers and hence, should appear before negative numbers when the arrangement is in descending order.
Consequently, the numbers can be evaluated and arranged as in the answer above with positive numbers increasing rightwards and negative numbers decreasing leftward of 0 on the number line.
Read more on number line;
https://brainly.com/question/4619309
#SPJ1
Can someone help mw please :)