A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Look at Kelvin's work and find his error.
Answers
Answer: The answer is provided below
Step-by-step explanation:
A price markdown is a reduction that is deliberate when selling a product. From the question, we are informed that a video game that usually costs $30.65 is marked down 60%.
The find the new price of the video game, we have to subtract the amount reduced from the original price. The amount reduced is:
= 60% of $30.65
= 60/100 × $30.65
= 0.6 × $30.65
= $18.39
The new selling price = $30.65 - $18.39
= $12.26
The error that Kelvin made when he determined that the new price of the game would be $18.39 was that he didn't subtract the value from the original price of the video game.
Related Questions
1. Find the Perimeter AND the Area of the following objects with the given coordinate
pairs:
(7,-5) (-5, 4) (-8, 0) (4, -9)
Answers
The value of perimeter of figure is,
⇒ 40 units
And, Area of figure is,
⇒ A = 75 units²
We have to given that,
The given coordinates pairs are,
⇒ A (7,-5), B (-5, 4), C (-8, 0) , D(4, -9)
Now, We know that,
The distance between two points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
Hence, We get;
AB = √(- 5 - 7)² + (- 5 - 4)²
AB = √ 144 + 81
AB = √225
AB = 15
BC = √(- 8 + 5)² + (0 - 4)²
BC = √9 + 16
BC = √25
BC = 5
CD = √(4 + 8)² + (- 9 - 0)²
CD = √144 + 81
CD = √225
CD = 15
DA = √(4 - 7)² + (- 9 + 5)²
DA = √9 + 16
DA = √25
DA = 5
Hence, The value of perimeter of figure is,
⇒ 15 + 5 + 15 + 5
⇒ 40 units
And, Area of figure is,
A = Lenght x Width
A = 15 x 5
A = 75 units²
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Suppose you estimate the consumption function of Y; = α₁ + α₂X₁ +e; and the savings function of Z; =ᵝ₁ + ᵝ₂Xi+u₁, where Y denotes for consumption, Z denotes for savings, X denotes for income, a's and ß's are parameters and e and u are the random error terms. Furthermore, X = Y+Z, that is, income is equal to consumption plus savings, and variables are all in numerical terms.
(i) What is the relationship, if any, between the OLS estimators of 2 and 2? Show your calculations. [4]
(ii) Will the residual (error) sum of squares be the same for the two models of Y₁ = α₁ + a₂X₁ +e; and Z₁ =ᵝ₁ + ᵝ₂X;+u;? Explain your answer. [4]
(iii) Can you compare the R² terms of the two models? Explain your answer. [3]
Answers
(i) The relationship between the OLS estimators of α₂ and ᵝ₂ can be determined by considering the relationship between the consumption function and the savings function. Since X = Y + Z, we can substitute this into the consumption function equation to obtain Y = α₁ + α₂(Y + Z) + e. Simplifying the equation, we get Y = (α₁/(1 - α₂)) + (α₂/(1 - α₂))Z + (e/(1 - α₂)). Comparing this equation with the savings function Z₁ = ᵝ₁ + ᵝ₂X + u₁, we can see that the OLS estimator of ᵝ₂ is related to the OLS estimator of α₂ as follows: ᵝ₂ = α₂/(1 - α₂).
(ii) The residual sum of squares (RSS) will not be the same for the two models of Y₁ = α₁ + α₂X₁ + e and Z₁ = ᵝ₁ + ᵝ₂X₁ + u₁. This is because the error terms e and u₁ are different for the two models. The RSS is calculated as the sum of squared differences between the observed values and the predicted values. Since the error terms e and u₁ are different, the predicted values and the residuals will also be different, resulting in different RSS values for the two models.
(iii) The R² terms of the two models cannot be directly compared. R² is a measure of the proportion of the total variation in the dependent variable that is explained by the independent variables. Since the consumption function and the savings function have different dependent variables (Y and Z, respectively), the R² values calculated for each model represent the goodness of fit for their respective dependent variables. Therefore, the R² terms of the two models cannot be compared directly.
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If the sum of an infinite geometric series is \( \frac{15625}{24} \) and the common ratio is \( \frac{1}{25} \), determine the first term. Select one: a. 625 b. 3125 c. 25 d. 125
Answers
The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.
We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).
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a sandbox is a square with an area of 32 square feet. What is the length of each side to the nearest tenth?
Answers
Answer:
5.6 ft
Step-by-step explanation:
How much greater is the median test score of 2nd period than 1st period?
Answers
The difference in the median score of the 2nd period and the 1st period is 5.
What is the difference in the median score?The images shown are known as box plots. A box plot is a graph that is made up of two whiskers and a box. The end of the whiskers present the minimum and maximum values.
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.
Median is a measure of central tendency that is used to determine the number that is at the center of a dataset.
The median of the first period = 80
The median of the second period = 85
Difference in the median = 85 - 80 = 5
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in a probability-proportional-to-size sample with a sampling interval of $10,000, an auditor discovered that a selected account receivable with a recorded amount of $5,000 had an audited amount of $4,000. if this were the only misstatement discovered by the auditor, the projected misstatement of this sample would be
Answers
The projected misstatement of this sample would be $50,000, calculated as follows: ($4,000 / $5,000) x $10,000.
In a probability-proportional-to-size sample, each item's chance of being selected is proportional to its recorded amount, so larger accounts have a higher probability of being selected. In this case, the auditor selected an account with a recorded amount of $5,000, but found that it had an audited amount of $4,000.
To project the misstatement of this sample, the auditor needs to estimate the total misstatement in the population by multiplying the audited amount by the inverse of the sampling fraction, which is the sampling interval divided by the recorded amount of the selected item. So, the projected misstatement is ($4,000 / $5,000) x $10,000 = $8,000 x 6.25 = $50,000. This means that the auditor estimates the total misstatement in the population to be approximately $50,000 based on this sample.
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Help me with this!!! Fake answers will get reported
Answers
Answer:
Step-by-step explanation:
there is an obscure rule that looks like this
DB/AB = AB/CB
AB=40 for this problem
DB = x
CB = 20
then
X/40 = 40/20
X = 40(40/20)
X = 40(2)
X=80
I find that hard to believe too, :D
but the rule says that's right
An Olympic swimming pool is 25 meters long. How long is the pool in yards?
Answers
Write an equivalent expression in expanded form. 9 (4x+3y+2/3
Answers
Answer;
36x+27y+6
Step-by-step explanation:
This is an example of the distributive property. In order to find the expanded form of this expression, 9 must be multiplied by each numeral within the perenticies, also making sure to include the variables if essential.
A paintball court charges an initial entrance fee plus a fixed price per ball. Suppose it costs $18 to use 2 balls and $23 to use 4 balls. What is the entrance fee?
Answers
The entrance fees is 13 dollars charges by the paintball court.
Let us assume that the entrance fees is $X and the actual cost of using one ball is $Y charged by the paintball court.
According to one situation,
Total cost of using to ball = Cost of entry fees + actual cost of using two ball.
So, we can write,
X + 2Y = 18
Let us say that this is our equation 1,
Also, it is provided,
Total cost of using 4 balls = cost of entry fees + actual cost of using four balls.
X + 4Y = 23
Let us say that this is our equation 2,
Both of our equations are linear equations with two variables,
Now, substracting equation 1 from equation 2,
X + 4Y -(X + 2Y) = 23 - 18
2Y = 5
Y = $2.5.
Putting the value of Y = 2.5 in equation 1,
X + 2(2.5) = 18
X = 18 - 5
X = $13.
So, the entry fees is 13 dollars.
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Letg(x) be the reflection of f(x)=x2+6 in the y axis. What is the function of rule for g(x)?
Answers
Is 72 a whole numbers
Answers
The arena set-up team’s work schedule is shown in the table below. Convert the minutes worked into hours.
Staff Member Minutes Worked Hours Worked
converting hours into fractions
Mike Chewer 870
Jennifer Glass 225
Fred Carlton 75
Amy Amaretto 720
Answers
Answer:
\(Mike\ Chewer = 14\frac{1}{2}\ hr\)
\(Jennifer\ Glass = 3\frac{3}{4}\ hr\)
\(Fred\ Carlton = 1\frac{1}{4}\ hr\)
\(Amy\ Amaretto = 12\ hr\)
Step-by-step explanation:
Given
\(Mike\ Chewer = 870\ minutes\)
\(Jennifer\ Glass = 225\ minutes\)
\(Fred\ Carlton = 75\ minutes\\\)
\(Amy\ Amaretto = 720\ minutes\)
Required
Convert to hours (in fraction)
To do this, we simply divide the time by 60
\(Mike\ Chewer = 870\ minutes\)
Divide by 60
\(Mike\ Chewer = \frac{870}{60}\ hr\)
\(Mike\ Chewer = \frac{87}{6}\ hr\)
Express as mixed numbers
\(Mike\ Chewer = 14\frac{3}{6}\ hr\)
Simplify
\(Mike\ Chewer = 14\frac{1}{2}\ hr\)
\(Jennifer\ Glass = 225\ minutes\)
Divide by 60
\(Jennifer\ Glass = \frac{225}{60}\ hr\)
Express as mixed numbers
\(Jennifer\ Glass = 3\frac{45}{60}\ hr\)
Simplify
\(Jennifer\ Glass = 3\frac{3}{4}\ hr\)
\(Fred\ Carlton = 75\ minutes\\\)
Divide by 60
\(Fred\ Carlton = \frac{75}{60}\ hr\)
Express as mixed numbers
\(Fred\ Carlton = 1\frac{15}{60}\ hr\)
Simplify
\(Fred\ Carlton = 1\frac{1}{4}\ hr\)
\(Amy\ Amaretto = 720\ minutes\)
Divide by 60
\(Amy\ Amaretto = \frac{720}{60}\ hr\)
\(Amy\ Amaretto = 12\ hr\)
HELP!!!!! Please. I really need it.
Answers
Let's call the price of the motorcycle "x".
We know that Lenny paid 12.5% in tax, which is the same as 0.125 as a decimal.
To find out how much tax Lenny paid, we can multiply the price of the motorcycle by 0.125:
0.125x = $1437.50
Now we can solve for x by dividing both sides by 0.125:
x = $11,500
Therefore, the price of the motorcycle, not including tax, was $11,500.
Answer:
Your question is:
1437.5 is 12.5% of what number?
1437.5 = 0.125x
x = 1437.5/.125 = $11,500
Therefore, the answer is $11,500!
Step-by-step explanation:
Please brainliest if the helped you a lot! And tell me if I am wrong! I would be so sorry if it was wrong! :D
the hcf of 90 and x is 18. the lcm of 90 and x is 540. find the value of x.
Answers
The value of x is 108.
What is HCF?The highest common factor is defined as the set of numbers with the highest common multiple. The highest positive integer with more than one factor in the set is HCF.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
We have been given that the HCF of 90 and x is 18.
And the LCM of 90 and x is 540.
We have to determine the value of x.
Since the product of two numbers equals the product of their HCF and LCM.
So 90 × x= HCF × LCM
Substitute the values of given data,
⇒ 90×x = 18×540
⇒ 90×x = 9720
⇒ x = 9720/90
⇒ x = 108
Hence, the value of x is 108.
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my math question is "Jon buys 3 shirts for $20. write this as a rate" and the same thing for "Brenda records 76 songs on 4 albums, write this as a rate"
Answers
Answer: For Jon, buying 3 shirts for $20 can be written as a rate as follows:
The number of shirts Jon buys per dollar spent = 3 shirts / $20 = 3/20 shirts/dollar
For Brenda, recording 76 songs on 4 albums can be written as a rate as follows:
The number of songs Brenda records per album = 76 songs / 4 albums = 19 songs/album
So, the rate of songs Brenda records per album can be written as 19 songs/album.
Step-by-step explanation:
Determine if the statement is true or false, and justify your answer. If (u1, u2, u3) spans R3, then so does (u1, u2, uz, u). O False. Consider u4 =0 True, the span of a set of vectors can only increase (with respect to set containment) when adding a vector to the set. O True, since the span of {ul, u2, u3, u4} is a subset of the span of {u1, u2, us), O False. Consider u4
Answers
The statement is false because adding a vector to a set of vectors can increase its span, but the new span is not necessarily the same as the original span.
The statement is false. To prove this, consider three vectors u1, u2 and u3 that span R3, and a vector u4 that is not a linear combination of
u1, u2 and u3.
The span of
{u1, u2, u3, u4}
will be a subset of the span of
{u1, u2, u3}.
This means that the span of
{u1, u2, u3, u4}
will contain all the vectors that the span of {u1, u2, u3} contains, plus the vector u4. However, it does not necessarily mean that the span of
{u1, u2, u3, u4} will be the same as the span of {u1, u2, u3},
as there may be other vectors that are in the span of
{u1, u2, u3, u4}
but not in the span of {u1, u2, u3}. Hence, the statement is false.
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The complete question is
Determine if the statement is true or false, and justify your answer. If (u1, u2, u3) spans R3, then so does (u1, u2, uz, u). O False. Consider u4 =0 True, the span of a set of vectors can only increase (with respect to set containment) when adding a vector to the set. O True, since the span of {ul, u2, u3, u4} is a subset of the span of {u1, u2, us), O False. Consider u4 = 0. The span of {u1, u2, u3, u4} is a subset of the span of {u1, u2, us}, but the span of {u1, u2, u3, u4} is not the same as the span of {u1, u2, us}.
to solve the following equation , 7x - 2 = 12 , which of the choices below is a correct method to find the value of X
Answers
The Answer:the answer is D
Step-by-step explanation:
A weather station reported 90% of the days in a 30-day period had measurable snowfall. How many of these days received measurable snowfall?
Answers
Answer:
27 days.
Step-by-step explanation:
Find 1% out of the 30-day period.
100% = 30 days
1% = 30 ÷ 100 = 0.30
Now find the percentage reported that had measurable snowfall which is 90%.
90% = 0.30 x 90 = 27
Out of the 30-day period, only 27 days received measurable snow.
The temperature of a body rises from -10 degrees Celsius to 18 degrees Celsius by how many degrees does the temperature rises?
Answers
Answer:
28 degrees
Step-by-step explanation:
Explain how the graph of the function f(x) =-3 can be obtained from the graph of y=- Then graph fand(x + 1)²give the (a) domain and (b) range. Determine the largest open intervals of the domain over which the function is (c)increasing or (d) decreasing.To obtain the graph of f, shift the graph of y=-1 unit, reflect across theand shift 3 units
Answers
Parent function:
\(y=\frac{1}{x^2}\)Transformations:
\(\begin{gathered} y=\frac{-a1}{(x\pm h)^2}\pm k \\ \\ -a:reflection\text{ }across\text{ }x-axis \\ +h:translation\text{ }h\text{ }units\text{ }to\text{ }the\text{ }left \\ -h:translation\text{ }h\text{ }units\text{ }to\text{ }the\text{ }right \\ +k:translation\text{ }k\text{ }units\text{ }up \\ -k:translation\text{ }k\text{ }units\text{ }down \end{gathered}\)To get function f:
\(f(x)=\frac{-1}{(x+1)^2}-3\)To obtain the graph of f, shift (translated) graph of y to the left 1 unit, reflect across the x-axis and shift 3 units down.Graph of y:
Graph of f; on the graph above use the transformations described above to get the graph of f(x):
y in blue
f(x) in greenFor f:
a) domain: x-values for which it is defined, f is defined for all x except for x-1
Domain:\((-\infty,-1)\cup(-1,\infty)\)b) range: values taht takes the function, function takes values less than -3
Range:\((-\infty,-3)\)c) the function is increasing from -1 to infinite\((-1,\infty)\)d) the function is decreasing from - infinite to -1:\((-\infty,-1)\)
Which is the graph of the linear inequality 2x-3y < 12?
Answers
Answer:
First, transform the given equation into the slope-intercept form, y = mx + b.
2x - 3y < 12
3y > 2x - 12
y > \(\frac{2}{3}\)x - 4
Since the equation is y > \(\frac{2}{3}\)x - 4, first draw the graph of y = \(\frac{2}{3}\)x - 4 with a dotted line (because it is >, not ≥) and shade the area above the dotted line.
Which has the greater value 9/10 and 9/100 or 12/5 and 6/25
Answers
Answer:
12/5 and 6/25
Step-by-step explanation:
9/10+9/100=.99
12/5+6/25=2.64
2.64>.99
It is 1:30. What time was it 5 hours and 30 minutes ago?
(you do not need to put AM or PM. You DO need to write it as a time ex: 11:00)
I REALLY NEED HELP! AND FAST
Answers
Therefore 13:30 - 5:30
8:00
How much is 35 ib to kg
Answers
Write an expression to model each situation.
Sandra picked 10 blue flowers and 16 red flowers. Then she divided the flowers equally into 2 bouquets. _______________
A recipe called for 2/3 cup flour. Kyle doubled the recipe. Then he added 1/4 cup more flour to make the dough less sticky. ________________
Answers
(10 + 16) ÷ 2
because if you didnt have any parentheses, it would have a different answer.
the second one should be:
2/3 x 2 + 1/4
For the given conditions expressions 1 and 2 are obtained as (10 + 16) ÷ 2 and 2/3 x 2 + 1/4 respectively.
What is a mathematical expression?A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression
It is given that the expression is,
Sandra selected 16 red flowers as well as 10 blue blooms. She then equally split the flowers into 2 bouquets.
The expression for the given condition is,
=(10 + 16) ÷ 2
If a recipe required 2/3 cup of flour. The recipe was quadrupled by Kyle. He then increased the flour by 1/4 cup to make the dough less sticky. The expression for the given condition is,
=2/3 x 2 + 1/4
Thus, the obtained expressions are (10 + 16) ÷ 2 and 2/3 x 2 + 1/4.
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HURRY ANSWER PLSS 15
(6.496 x 10^-6) divide (2.8 x 10^5)
express your answer in scientific notation
Answers
Answer:
23.2
Step-by-step explanation:
if Jordan has 2 apples and he buy 3 apples, how many apples do he has?
Answers
Answer:
5 apples
Step-by-step explanation:
Add 2 and 3 because you add what Jordan has and how much Jordan buys to find the total number of apples.
Answer:
He has 5 Hope it helps you
Step-by-step explanation:
You see he already has 2 apples then he buys 3 more which you just add 2+3=5
question 3 and 4 please!
Answers
Question 3:
\(f(x)=(\frac{2}{3})x^2+3x-2\\\)⇒standard form\(f(x)=3x^2-8x+5(3x-8)\)⇒intercept form\(f(x)=4(x-5)^2+20\)⇒ vertex form\(f(x)=-(3x-8)(3x+5)\)⇒none of the aboveQuestion 4:Explain in detail how to solve the following function by completing the square:
\(x^2+8x-9=0\)
1. move the term to left side (done)
\(x^2+8x-9=0\)
2. use the quadratic formula
\(x=\frac{-b+\sqrt{b^2-4ac} }{2a}\)
A=1
B=8
C=-9
\(x=\frac{-(8)+\sqrt{(8)^2-4(1)(-9)} }{2(1)}\)
x=1
now check your answer.
1^2+8(1)-9=0
find the square root of 64 by prime factorization method
Answers
Answer:
8 is the square root of 64.
Step-by-step explanation:
I hope it's helpful!
Step-by-step explanation:
8 is the square root of 64 by prime factorization method