The trade discount is $0.73 and the trade discount rate is approximately 25.3%. These values represent the amount of discount given and the percentage by which the list price is reduced to arrive at the net price.
In this case, the list price is given as $2.89 and the net price is $2.16. To calculate the trade discount, we subtract the net price from the list price: Trade Discount = List Price - Net Price = $2.89 - $2.16 = $0.73.
To find the trade discount rate as a percentage, we divide the trade discount by the list price and multiply by 100: Trade Discount Rate = (Trade Discount / List Price) * 100. Substituting the values, we get Trade Discount Rate = ($0.73 / $2.89) * 100 ≈ 25.3%.
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n=c-s solve for c, can anyone solve this?
Answer: sure ummm...
r
=
1
d
cs
Step-by-step explanation:
Answer: n+s=c
Step-by-step explanation:
n=c-s
+s +s
n+s=c
add s to both sides to get c by itself, and you end up with n+s=c
Simplify: 5x(3-12x)-3(4-20x^2)
A. 15x-12
B. 15x^2-60x
C. 60x^2-15x
D. 15x^2-12x
We may determine the option a) 15x - 12 by simply multiplying and adding them by the necessary terms.
What is Linear Equation?A linear equation is an algebraic equation of the form y = mx + b. involving only a continuing and a first-order ( linear ) term, where m is the slope and b is the y-intercept.
5X ( 3 - 12 X) - 3 ( 4 - 20\(x^{2}\) )
15X - 60\(x^{2} \\\) - 3 ( 4 - 20\(x^{2}\) )
15X - 60\(x^{2} \\\) - 12 + 60\(x^{2}\)
15X - 12 this is required solution .
Just by simply multiplying and adding them by required terms we can conclude 15x - 12.
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how do u determine how many solutions an equation has
If y = - 3x + 5, what is y when
X=2/3?
Select one:
7
-1
3
11
Answer:
y = 3 may I please get brainliest?
Step-by-step explanation:
y= -3x+5
y= -3(2/3)+5
-3(2/3) = -2
y= -2+5
-2+5 = 3
y=3
according to a recent study, the median earnings of nonmetropolitan workers in the united states was 24% less than the median earnings of metropolitan workers. what is the most likely explanation for this phenomenon?
The recent study says 24% wage gap between nonmetropolitan and metropolitan workers can be attributed to differences in job opportunities, education and skill levels, cost of living, and economic development.
According to a recent study, the median earnings of nonmetropolitan workers in the United States was 24% less than the median earnings of metropolitan workers.
The most likely explanation for this phenomenon can be attributed to several factors.
1. Job opportunities: Metropolitan areas tend to have a higher concentration of job opportunities, particularly in higher-paying industries such as finance, technology, and professional services.
In contrast, nonmetropolitan areas often have fewer job options and may be dominated by lower-paying industries such as agriculture, retail, and hospitality.
2. Education and skill levels: Metropolitan areas generally have a larger pool of highly educated and skilled workers, which can lead to higher salaries.
Nonmetropolitan areas may have lower levels of education and skill among the workforce, which can result in lower earnings.
3. Cost of living: The cost of living is generally higher in metropolitan areas, which can lead to higher salaries to offset these expenses.
In nonmetropolitan areas, the cost of living is typically lower, which can result in lower wages as employers do not need to pay as much to maintain a reasonable standard of living for their workers.
4. Economic development: Metropolitan areas tend to have more robust economies with higher levels of economic development.
This can create a more competitive job market, which can lead to higher salaries for workers. Nonmetropolitan areas often have less economic development, which can result in fewer high-paying jobs and lower wages overall.
In summary, the 24% wage gap between nonmetropolitan and metropolitan workers can be attributed to differences in job opportunities, education and skill levels, cost of living, and economic development.
These factors contribute to the higher median earnings of metropolitan workers compared to their nonmetropolitan counterparts.
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6z^2-48x-120/3z^2+6z • 14z^5+140z^4/4z^2-400 =7z^3 Which values of s make the resulting expression undefined?
okay soo.. Vance wants to determine if an old photo frame is still rectangular. The height of the frame is 8 inches, the base is 6 inches and the diagonal is 10 inches long. Is the old photo frame still rectangular? how do you know?
We can check this using Pythagoras' theorem.
Explain Pythagoras' theorem?
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship in Euclidean geometry between the three sides of a right triangle. It asserts that the area of the square with the hypotenuse (the side opposite the right angle) equals the sum of the areas of the squares with the other two sides. This theorem may be expressed as an equation linking the lengths of the legs a, b, and the hypotenuse c, which is known as the Pythagorean equation: a² + b² = c²
According to Pythagoras' theorem, as we see a² + b² = c²
6² + 8² = 10², so the photo frame is still a rectangle.
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Start time 6 :28 am end time 10:08 am what is the elapsed time
The elapsed time between a start time of 6:28 am and an end time of 10:08 am is 3 hours and 40 minutes.
To calculate the elapsed time between a start time of 6:28 am and an end time of 10:08 am, we need to subtract the start time from the end time. First, let's consider the minutes. The end time is 08 minutes past the hour, and the start time is 28 minutes past the hour. Subtracting 08 minutes from 28 minutes gives us 20 minutes.
Next, let's consider the hours. The end time is 10:08 am, and the start time is 6:28 am. Subtracting the hours, we get 10 - 6 = 4 hours. Therefore, the elapsed time between the start time of 6:28 am and the end time of 10:08 am is 4 hours and 20 minutes. In other words, from 6:28 am to 10:08 am, there is a total of 4 hours and 20 minutes that have passed.
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3) Find f(–1) if f(x) = –3x – 5.
We have 11 books to be arranged on a bookshelf. In how many different ways can all of these books be arranged on a bookshelf?
The number of different ways that 11 books can be arranged on a bookshelf is 39,916,800.
To determine the number of ways the 11 books can be arranged on a bookshelf, we can use the formula for permutation, which is given by:
P(n,r) = n!/(n-r)!
Where n is the total number of items and r is the number of items selected. In this case, we have 11 books and we want to arrange them all, so r = 11.
Therefore, the number of different ways the 11 books can be arranged on a bookshelf is:
P(11,11) = 11!/(11-11)! = 11! = 39,916,800.
This means that there are 39,916,800 different possible ways to arrange the 11 books on the bookshelf.
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Consider a population with a known standard deviation of 27.5. In order to compute an interval estimate for the population mean, a sample of 69 observations is drawn. [You may find it useful to reference the z table.]
a. Is the condition that X−X− is normally distributed satisfied?
Yes
No
b. Compute the margin of error at a 99% confidence level. (Round intermediate calculations to at least 4 decimal places. Round "z" value to 3 decimal places and final answer to 2 decimal places.)
c. Compute the margin of error at a 99% confidence level based on a larger sample of 275 observations. (Round intermediate calculations to at least 4 decimal places. Round "z" value to 3 decimal places and final answer to 2 decimal places.)
d. Which of the two margins of error will lead to a wider confidence interval?
99% confidence with n = 69.
99% confidence with n = 275.
The margin of error at a 99% confidence level is 8.36.
The margin of error at a 99% confidence level based on a larger sample of 275 observations is 4.14.
a. Yes, the condition that X−X− is normally distributed is satisfied for a sample size of 69 by the central limit theorem.
b. The margin of error at a 99% confidence level can be computed using the formula:
Margin of error = z* (sigma / sqrt(n))
where z* is the z-score corresponding to a 99% confidence level, sigma is the known standard deviation, and n is the sample size.
The z-score for a 99% confidence level is 2.576 (from the z table).
Substituting the given values, we get:
Margin of error = 2.576 * (27.5 / sqrt(69)) = 8.36
c. The margin of error at a 99% confidence level based on a larger sample of 275 observations can be computed using the same formula:
Margin of error = z* (sigma / sqrt(n))
where z* is the z-score corresponding to a 99% confidence level, sigma is the known standard deviation, and n is the sample size.
The z-score for a 99% confidence level is still 2.576 (from the z table).
Substituting the given values, we get:
Margin of error = 2.576 * (27.5 / sqrt(275)) = 4.14
d. The margin of error is inversely proportional to the square root of the sample size. As the sample size increases, the margin of error decreases. Therefore, the margin of error with n = 275 will be smaller than the margin of error with n = 69, leading to a narrower confidence interval.
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Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year's value. At this rate, what can Dan expect the approximate value of the computer to be after 8 years?
Answer:
$90
Step-by-step explanation:
Given data
Price= $900
Rate= 25%
Time= 8 years
Let us apply the compounding formula
A= P(1-r)^t >>>>note that the negative sign is because of the depreciation
substitute
A= 900(1-0.25)^8
A= 900(0.75)^8
A= 900*0.100
A= $90
Hence the value of the car after 8 years will be $90
if a triangle has one angle that measure 81 degrees and another that measures 47 degrees, what is the measure of the third angle?
Answer: 52
Step-by-step explanation:
81 + 47 is 128.
180 - 128 =52 degrees.
:)
Determine the transformation of the following:
(please see attached photo)
Answer:
Rotation
Step-by-step explanation:
not enough INFO sas sss
\(\huge \bf༆ Answer ༄\)
The given triangles are similar by ~
\( \textsf{SSS criteria }\)can someone help asap?
What is the length of red segment EC to the nearest tenth?
I purchased 3.4 pounds of apples for $7.29. What is the cost per pound? I need the answer fast.
Answer:
The answer is $2.14 per pound of apples.
Step-by-step explanation:
7.29/3.4= roughly 2.14.
Answer:
is 24.786
Step-by-step explanation:
multiply the numbers and that's how you get your answer and I use my calculator so I know the answer is 24.786
find the sum of the numbers if their sum is -11 and their difference is 41
Answer:
-52
Step-by-step explanation:
-11 -14 are same sign is equal to plus ,,so that is answer -52 ...
Answer:
- 11 - 41
-52 is the right answer....
How can you prove the triangle sum theorem?
The sum of angle in a triangle is 180°
What is the sum of angle in a triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.
The sum of angle A, B and C is 180 i.e A+B +C = 180°
Also a triangle is a 3 sided polygon. The sum of of angle in a polygon is( n-2)180
How do we prove that the sum of angle in a triangle is 180°?
Since triangle is 3 sided, n= 3, because n denote the number if sides
therefore the sum of angle = (n-2) 180 = (3-2)×180
= 180°
therefore the sum of angle In a triangle is 180°
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2/4+5/4= 6/12+14/12=
Answer:
7/4=5/3 is the answer
A six foot fence falls over to where its highest point is now only 5 feet high off the ground., how many radians did the fence tilt?
Answer:
0.5857 radian
Step-by-step explanation:
Given :
Length of fence = 6 feets
Height of fence from ground after tilt = 5 feets
The tilt angle is represented by θ ;
To obtain the angle ; we use the trigonometric relation :
Cosθ = adjacent / hypotenus
Cos θ = 5 / 6
θ = Cos^-1(5/6)
θ = 33.557°
Converting to radian :
33.557 * π/180
= 33.557 * 0.0174532
= 0.58568
= 0.5857 radian
What is the area of the regular hexagon when apothem is 3√/3?
6 ft
O 36
O 54-√√3
O 54
O 36-√√3
Answer:
its the number two correct me if im wrong
expand -Sr+5=a using distributive property
Expand -Sr+5=a using distributive property = - S x r + 5 = a
What is the distributive property?This property states that multiplying the total of two or more addends by a number will provide the same outcome as multiplying each addend by the number separately and then adding the results together.The distributive property of mathematics states that multiplying a number by the sum of two or more addends yields the same result as dividing the multiplier among the addends, multiplying each addend individually, and then combining the results.When you multiply a value by a sum, the distributive property of multiplication over addition is used. Say you wish to multiply 5 by the product of 10 plus 3. When two words are similar, we often sum the two amounts before multiplying by 5. However, the property states that you should first multiply each addend by 5.Learn more about distributive property refer to :
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if you want to be 95% confident of estimating the population mean to within a sampling error of plus or minus 2 and the standard deviation is assumed to be 19, what sample size is required?
Answer:
The required sample size is 347
Step-by-step explanation:
The required sample size can be calculated as follows
Since we use 95% confidence interval, then the z critical for 95% is 1.96.
The formula to calculate the sample size is derived from the formula of 95% confidence interval for a mean
\(\overline{X} \pm 1.96 \frac{s}{\sqrt{n}}\)
Where \(\overline{X}\) is the point estimate or the value, computed from sample information, that is used to estimate the population parameter
s is the sample standard deviation
n is the sample size
Since the task say that the estimation of the population mean is within a sampling error of plus or minus 2 then substitute 2 for margin of error
\(\overline{X} \pm 1.96 \frac{s}{\sqrt{n}}\)
\(\overline{X} \pm\) 2
From the above expression, then the equation to follow is
\(2 = 1.96 \frac{s}{\sqrt{n}}\)
Divide both sides by 1.96 to isolate \(\frac{s}{\sqrt{n}}\)
\(\frac {2}{1.96}=\frac{s}{\sqrt{n}}\)
Simplify the left side of the equation
\(\frac {2}{1.96}=\frac{s}{\sqrt{n}}\)
\(1.02041=\frac{s}{\sqrt{n}}\)
Substitute 19 for s
\(1.02041=\frac{19}{\sqrt{n}}\)
Multiply both sides by \(\sqrt{n}\\\)
\(1.02041\sqrt{n}=19\)
Divide both side by 1.02041 to isolate \(\sqrt{n}\\\)
\(\sqrt{n}=\frac{19}{1.02041}\)
\(\sqrt{n}=18.612\)
Square both side to get the value of n
n = 346.41
We round up to determine that the required sample size is n = 347
Hence the required sample size is 347
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HELP ME ASAP I NEED HELP
Answer:
distance = 7.07 units
Step-by-step explanation:
x difference = 7
y difference = -1
using the Pythagorean theorem:
7² + -1² = d²
d² = 49 + 1 = 50
d = 7.07
Answer:
7.1
Step-by-step explanation:
distance between the x is 7 and y is 1
And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2
c=50
and take the square root, which is 7.071, rounds to 7.1
If z is a standard normal variable, find P(z > 0.97). Round to four decimal places. OA. 0.1685 O B. 0.1922 C. 0.8340 O D. 0.1660.
If z is a standard normal variable, find P(z > 0.97). Round to four decimal places is option B: 0.1922.
To arrive at this answer, we first need to understand what a standard normal variable is. A standard normal variable is a random variable that has a normal distribution with a mean of 0 and a standard deviation of 1. This means that the distribution of values that the variable can take follows a bell-shaped curve, with most values being close to 0 and fewer values further away from 0 as we move towards the extremes.
In this case, we are asked to find the probability that the standard normal variable z is greater than 0.97. This means we are looking for the area under the bell-shaped curve to the right of 0.97.
We can use a table of standard normal probabilities, such as the Z-table, to find this probability. The Z-table provides the probability that a standard normal variable is less than or equal to a certain value. To find the probability that z is greater than 0.97, we need to subtract the probability that z is less than or equal to 0.97 from 1.
Looking up 0.97 in the Z-table, we find that the probability that z is less than or equal to 0.97 is 0.8340. Subtracting this value from 1, we get 0.1660. However, we need to round this value to four decimal places as per the instructions, which gives us 0.1660.
Therefore, the correct answer is not A or D, but B: 0.1922.
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I need help Cant someone help
Answer:
46
Step-by-step explanation:
Answer:
46
Step-by-step explanation:
You ask 50 randomly chosen employees of a company how many books they read each month. The diagram shows the results. There are 600 people employed by the company. Estimate the number of employees who read at least one book each month. A circle graph. The graph is titled, “Books per Month”. Each activity takes up a section of the circle and the size of the section corresponds to the numerical value of the activity. One book, 19; Two books, 7; Three or more books, 10; Zero books, 14. An estimate of employees read at least one book each month.
An estimate of the number of employees who read at least one book per month is 432.
Based on the circle graph, out of the 50 employees surveyed:
19 employees read one book per month
7 employees read two books per month
10 employees read three or more books per month
14 employees do not read any books per month
To estimate the number of employees who read at least one book each month among the 600 employees of the company, we can use proportional reasoning.
The proportion of employees surveyed who read at least one book per month is:
(19 + 7 + 10) / 50 = 36 / 50 = 0.72
We can assume that this proportion is roughly the same for the entire company, so we can estimate the number of employees who read at least one book per month as:
0.72 x 600 = 432
Therefore, there are 432 workers, on average, who read at least one book each month.
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The fence of a square car park is a barbwire fixed at wooden posts. Its side measure 120 feet. What is the area of the car park?
Answer:
14,400
Step-by-step explanation:
120 x 120 = 14,400
Use your Golden-ratio search Matlab script to find the minimum of f(x) = 24 +223 + 7x2 + 5x Xi = -2.5 = 2.5
We can use the given Matlab code with the function f(x) to find the minimum of the given function \(f(x) = 24 +223 + 7x^2 + 5x\) using the golden ratio search method.
The golden ratio, often denoted by the Greek letter phi (φ), is a mathematical concept that describes a ratio found in various natural and aesthetic phenomena. It is approximately equal to 1.618 and is often considered aesthetically pleasing. It is derived by dividing a line into two unequal segments such that the ratio of the whole line to the longer segment is the same as the ratio of the longer segment to the shorter segment.
Given: The function \(f(x) = 24 +223 + 7x^2 + 5x\), and Xi = -2.5, i = 2.5
We can use the golden ratio search method for finding the minimum of f(x).
The Golden ratio is a mathematical term, represented as φ (phi).
It is a value that is exactly 1.61803398875.The Matlab code for the golden ratio search method can be given as:
Function [a, b] =\(golden_search(f, a0, b0, eps) tau = (\sqrt{5} - 1) / 2;\)
\(% golden ratio k = 0; a(1) = a0; b(1) = b0; L(1) = b(1) - a(1); x1(1) = a(1) + (1 - tau)*L(1); x2(1) = a(1) + tau*L(1); f1(1) = f(x1(1)); f2(1) = f(x2(1));\)
\(while (L(k+1) > eps) k = k + 1; if (f1(k) > f2(k)) a(k+1) = x1(k); b(k+1) = b(k); x1(k+1) = x2(k); x2(k+1) = a(k+1) + tau*(b(k+1) - a(k+1)); f1(k+1) = f2(k); f2(k+1) = f(x2(k+1));\)
\(else a(k+1) = a(k); b(k+1) = x2(k); x2(k+1) = x1(k); x1(k+1) = b(k+1) - tau*(b(k+1) - a(k+1)); f2(k+1) = f1(k); f1(k+1) = f(x1(k+1)); end L(k+1) = b(k+1) - a(k+1); end.\)
Thus, we can use the given Matlab code with the function f(x) to find the minimum of the given function f(x) = 24 +223 + 7x^2 + 5x using the golden ratio search method.
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