The price of the house at the end of 2008 will be 39,60,000
We must determine the price following each rise in order to determine the cost of the house at the end of 2008.
First of all, in 2004 the price jumped by 10%.
10% of 30,00,000 = 0.1 x 30,00,000 = 3,00,000
As a result, the house's new price in 2004 was:
30,00,000 + 3,00,000 = 33,00,000
The price then rose by 20% in 2008.
20% of 33,00,000 = 0.2 x 33,00,000 = 6,60,000
The home's total price at the end of 2008 was therefore: 33,00,000 + 6,60,000 = 39,60,000.
As a result, the house cost 39,60,000 at the end of 2008.
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Choose the letter of the correct answer.Write the chosen letter on a separate sheet of paper.
1.A number is divisible by 4 if the last_____.
A.digit of a number is divisible by 4
B.digit is even
C.two digit formed is divisible by 4
D.digit is zero
Answer:
C
Step-by-step explanation:
a number is only divisible by 4, if the number formed by the last 2 digits is divisible by 4.
The mean time required to repair breakdowns of a certain copying machine is 93 minutes. The company which manufactures the machines claims that breakdowns of its newer model are easier to fix. To test this claim, a sample of 18 breakdowns of the new model were observed, resulting in a mean repair time of 86.8 minutes with a standard deviation of 14.6 minutes. Using a significance level of a = 0.10, determine if the new copy machines are faster to repair. State clearly what your null and alternative hypotheses are, show your work, and state your conclusion.
A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.
To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:
Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.
Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.
Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:
t = (sample mean - population mean) / (sample standard deviation / √(sample size))
Given:
Population mean (μ) = 93 minutes
Sample mean (\(\bar x\)) = 86.8 minutes
Sample standard deviation (s) = 14.6 minutes
Sample size (n) = 18
Significance level (α) = 0.10
Calculating the test statistic:
t = (86.8 - 93) / (14.6 / sqrt(18))
t = -6.2 / (14.6 / 4.24264)
t ≈ -2.677
The degrees of freedom for this test is n - 1 = 18 - 1 = 17.
Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.
Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.
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5(4x+1)(1x+1)
how do i solve?
Answer:
\(5(4x + 1)(1x + 1) \\ =5(4x + 1)(x + 1) \\ = 20x(x + 1) + 5(x + 1) \\ = 20 {x}^{2} + 20 + 5x + 5 \\ = 20 {x}^{2} + 5x + 25\)
Hope it helps!
Answer:
20x² + 25x + 5
Step-by-step explanation:
5(4x+1)(1x+1)
5 (4x² + 4x + 1x + 1)
5 (4x² + 5x + 1)
20x² + 25x + 5
What are 2 equivalent fractions for 2/3 1/2 4/5 ∝
The equivalent fractions of the following given fractions are as follows:
2/3 = 4/6 and 8/12
8/121/2 = 2/4 and 4/8
4/84/5 = 8/10 and 16/20
What are equivalent fractions?Equivalent fractions is defined as the fractions that can represent the same fractions when simplified to the least fraction.
The method that can be used to find equivalent fractions is through multiplying the numerator and the denominator with the same whole number.
To find the equivalent fraction of 2/3, 1/2 and 4/5 multiple through with 2 and 4. That is;
2/3 = 2×2/3×2 = 4/6 and 2×4/3×4= 8/12
1/2 = 1× 2/2×2 = 2/4 and 1×4/2×4 = 4/8
4/5 = 4×2/5×2 = 8/10 and 4×4/4×5 = 16/20
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Organizational culture is set by a. the manager b. the ethics committee c. the engineer d. none of the given options
Organizational culture is defined as the common beliefs, values, attitudes, customs, behaviors, and traditions that characterize a specific organization and determine the manner in which it functions. Organizational culture is set by the manager.
In a corporate or business environment, organizational culture can influence the daily operations of employees. It is the responsibility of managers to create a positive culture that emphasizes teamwork, respect, integrity, and accountability. The manager is an essential individual responsible for establishing and maintaining the organization's culture, which will ultimately define the employee's attitudes, behaviors, and productivity levels. He or she sets the tone for the workplace by creating an environment that fosters collaboration, innovation, and success. Employees need to feel connected to their workplace and colleagues to be motivated to do their best work. If a manager promotes a culture of fear, competition, or dishonesty, employees may become unmotivated or unproductive. An effective manager understands the importance of creating a positive workplace culture and works hard to establish and maintain it. Managers can establish a positive culture by encouraging open communication, providing regular feedback and recognition, fostering a sense of teamwork, creating opportunities for professional development, and setting high standards for performance. Managers must lead by example and demonstrate the behaviors and attitudes that they expect from their employees. They must hold themselves and others accountable for their actions, communicate expectations clearly, and provide support when needed. A positive organizational culture will enable an organization to attract and retain top talent, increase employee engagement, and promote collaboration and innovation.
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Your Company's residual income was 58,250 . Net income was 5150,000 and average operating assets were 5675,000 , What was the expected return percentage?
$19 \%$
$18 \%$
214
$20 \%$
$22 \%$
the expected return percentage is approximately 8.04%. , which is not among the provided answer options.
To calculate the expected return percentage, Expected return percentage = (Residual Income / Average Operating Assets) × 100
Plugging in the given values:
Expected return percentage = (58,250 / 5,675,000) × 100 ≈ 1.026% The expected return percentage is typically calculated by dividing the residual income by the average operating assets and expressing it as a percentage.
Now, to calculate the expected return percentage, we divide the required return by the average operating assets:
Expected Return Percentage = (Required Return on Average Operating Assets) / Average Operating Assets
Expected Return Percentage = $456,750 / $5,675,000
Calculating this division, we get:
Expected Return Percentage ≈ 0.0804
Converting this to a percentage, we find that the expected return percentage is approximately 8.04%.
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(0)
Question 2 Consider the dynamic system described by Equation Q2. 85.16400 083.3770 0046.999 ⃗+ 0.079400 00.7030 001.07 ×10⃗+ 0.013600 03.1390 005.124 ×10⃗= 0 0 0 Equation Q2 (a) Calculate the spectral matrix, the undamped natural frequencies and damping ratios of the system in Equation Q2. Identify its fundamental frequency. (b) The following mode shape vectors have been used to diagonalise the equations of motion of the dynamical system presented in Equation Q2: f1 = [0.8076 1.0000 0.8039]T; f2 = [-0.9694 -0.1620 1.0000]T and f3 = [-0.5342 1.0000 -0.3523]T. Calculate the respective matrix of mass normalised mode shapes. (c) Using the mode superposition method, calculate the response of the system for the first physical coordinate y1 assuming the following initial conditions expressed in terms of the modal coordinates: the initial modal displacements are [0 0.5 0]T m and the initial modal velocities are [0 -3 0]T m/s.
The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, & The mass-normalised mode shapes can be normalising the mode shape vectors f1, f2, and f3.
Part (a)
In Equation Q2, the spectral matrix, undamped natural frequencies, damping ratios, and fundamental frequency need to be calculated.
The mass matrix is given by [85.16400 083.3770 0046.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].
The stiffness matrix is given by [0.16400 00.3770 000.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].
The damping matrix is given by [0 0 0; 0 0 0; 0 0 0].The undamped natural frequencies, damping ratios, and fundamental frequency for the system in Equation Q2 can be calculated from the spectral matrix.
The characteristic equation can be written as det(K-mω^2M)=0.where K is the stiffness matrix, M is the mass matrix, ω is the angular frequency, and m is the mass-normalised mode shape.
The roots of this equation are the undamped natural frequencies, and the damping ratios can be calculated from the undamped natural frequencies and mode shapes.
The mass-normalised mode shapes can be calculated by normalising the mode shape vectors f1, f2, and f3.
Part (b)
The mass-normalised mode shapes can be calculated using the mode shape vectors f1, f2, and f3.Part (c)The response of the system for the first physical coordinate y1 can be calculated using the mode superposition method. The initial modal displacements and velocities are given in terms of the modal coordinates.
The response is then calculated using the equation y(t)= Σ ai φi(t), where ai are the modal amplitudes, and φi(t) are the modal shapes given by the mode shape vectors f1, f2, and f3.
The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, where Y is the vector of physical coordinates. The modal amplitudes can be calculated from the initial modal displacements and velocities.
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PLEASE HELP ASAP IM DESPERATE
Solve for x. 1.5x/7=6.3/5 Enter your answer as a decimal in the box.
Answer:
x = 5.88
Step-by-step explanation:
1.5x / 7 = 6.3 / 5
Cross multiply
7.5x = 44.1
Divide both sides by 7.5
x = 5.88
I hope this helped and please mark me as brainliest!
Answer: 5.88
Step-by-step explanation: Answer confirmed on test as correct
An n x n matrix M has exactly three eigenvalues of algebraic multiplicities m1, m2, and m3, respectively. Then n ____ m1 + m2 + m3.
Here n=3
The given statement is related to eigenvalues of a matrix.
Let A be an n x n matrix with eigenvalues λ1, λ2,...,λn then the algebraic multiplicity of λi is the number of times that λi appears as a root of the characteristic equation of A and denoted by mi.
The sum of the algebraic multiplicities of all eigenvalues of a matrix is equal to the order of that matrix.
For example, if a matrix is of order 3 then the sum of all algebraic multiplicities of its eigenvalues is 3.
Now, for the given question, the statement is: An n x n matrix M has exactly three eigenvalues of algebraic multiplicities m1, m2, and m3, respectively. Then n ____ m1 + m2 + m3.
As the matrix M has exactly three eigenvalues, we can say that n = 3.
Therefore, n = 3 and m1 + m2 + m3 = n.Hence, n = 3 and m1 + m2 + m3 = n.
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Select 3 of the below equations that represents the line that has a slope -2 and a y-intercept of 5
3 - which of the following statements is false? a. confidence intervals are always close to their true population values. b. confidence intervals vary from one sample to the next. c. the key to constructing confidence intervals is to understand what kind of dissimilarity we should expect to see in various samples from the same population. d. none of the above statements are false.
Option d, none of the above statements are incorrect. Confidence intervals are always close to the true population values. However, it varies from sample to sample, and the key to constructing confidence intervals is to understand what kinds of similarities can be found in different samples of the same population.
A confidence interval for a mean provides us with a range of feasible population mean values. If a confidence interval excludes a certain number, it is unlikely that the specific value represents the genuine population mean.
The sample mean will differ from sample to sample, but when the technique estimate margin of error is applied to generate an interval based on each sample, C% of these intervals accurately represent the unknown population mean.
Confidence intervals are one method to express how "excellent" an estimate is; the broader the 90% confidence interval for a certain estimate, the more care necessary when adopting the estimate. Confidence intervals serve as a crucial reminder of the estimate's limitations.
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The equation y =8x+ 12, where x is the number of hours
and y is the total cost, represents what the surf instructor
charges for lessons. Use this information to describe how
to draw the line on a graph.
Plot a number of hours against total cost graph.
(1) by y=mx+c
The line with slope of 8 and y-intercept is 12.
The other way to plot a graph is put some integer into x to find out y, vice versa.For example when y=12,
x is equal to 0.
when y= 20,
x is equal to 1.
You can find out 3 point and join the line.
Finally the graph is finished.
~~FroziteTheLxoser~~
sample response:
Use the rise/run strategy to draw the line. Start at the y-intercept (0, 12), and count 8 up and 1 to the right to the point (1, 20). Then, draw a line through the points. Test the point (3,36) in the equation y = 8x + 12 to verify that the line is correct.
Graph g(x) = |x + 3|.
The graph shows an upward opening v-shaped graph with a vertex at negative 3 comma 0, which passes through negative 4 comma 1 and negative 2 comma 1.
The graph shows an upward opening v-shaped graph with a vertex at 3 comma 0, which passes through 2 comma 1 and 4 comma 1.
The graph shows an upward opening v-shaped graph with a vertex at 0 comma 3, which passes through negative 1 comma 4 and 1 comma 4.
The graph shows an upward opening v-shaped graph with a vertex at 0 comma negative 3, which passes through negative 1 comma negative 2 and 1 comma negative 2.
I’ll give Brainly :)
The graph of g(x) is gotten by translating the function f(x) = |x| down by 3 units to get to function g(x)
How to graph the equation of the function?The equation of the function is given as; g(x) = |x| - 3
The above function is an absolute value function.
The parent function of an absolute value function is; f(x) = |x|
This means that the function f(x) is translated to get to function g(x)
In this case, the function is f(x) is translated down by 3 units to get to function g(x)
So, the graph of g(x) is gotten by translating the function f(x) = |x| down by 3 units to get to function g(x)
See attachment for the graph of g(x)
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Answer: its c
Step-by-step explanation:
plug in 0 to the equation and you get (0,3)
If h(x) = 2x and g(x) = 3x2 + 1, what is h(g(x))?
Answer:
h(g(x))=h(3x^2+1)=2(3x^2+1)=6x^2+2
Baby lisa automatically turns her head in the direction of a touch on the cheek. This is the _____ reflex.
Turning of head is rooting reflex.
Reflex is defined as the action which is performed without thought. In other words, it is an unconscious behaviour or involuntary movement. Newborns have different reflexes such as rooting reflex, moro reflex, stepping reflex, tonic neck reflex and grasp reflex.
Rooting reflex acts on touch. Based on this, babies feed themself. They start sucking when the roof of their mouth is touched. Moro reflex occurs on sudden sound or movement of high intensity. Tonic neck reflex results in fencing position of baby. Grasp reflex is seen when baby closes their fingers and stepping reflex concerns legs.
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Can somebody plz help answer these questions correctly (only if u know how to do it) thx sm! :3
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD
Answer:
<5 = 30
<6 = 60
<BFD = 120
Step-by-step explanation:
Eva invested $500 in an account paying an interest rate of 4 5/8% compounded daily.
Amira invested $500 in an account paying an interest rate of 4 3/4% compounded
monthly. After 15 years, how much more money would Amira have in her account
than Eva, to the nearest dollar?
The total amount accrued of Eva principal plus interest, with compound interest on a principal of $500.00 at a rate of 4% per year compounded 365 times per year over 15 years is $911.03.
The total amount accrued of Amira principal plus interest, with compound interest on a principal of $500.00 at a rate of 4% per year compounded 12 times per year over 15 years is $910.15.
Compounded interest adds interest not only to your principle amount, but your accumulated interest over time.
To calculate compound interest we use the formula below where A = total balance after t years, P = principal amount (amount borrowed or invested), r = interest rate (decimal form), and t = time in years.
Eva invested $500 in an account paying an interest rate of 4 5/8% compounded daily.
A = $911.03
A = P + I where
P (principal) = $500.00
I (interest) = $411.03
First, convert R as a percent to r as a decimal
r = R/100
r = 4/100
r = 0.04 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 500.00(1 + 0.04/365)(365)(15)
A = 500.00(1 + 0.00010958904109589)(5475)
A = $911.03
Hence, The total amount accrued of Eva principal plus interest, with compound interest on a principal of $500.00 at a rate of 4% per year compounded 365 times per year over 15 years is $911.03.
Amira invested $500 in an account paying an interest rate of 4 3/4% compounded monthly.
Given Principal (P) = $500
Interest rate (r) = 6%
Time (t) = 15 years
By taking compound interest formula:
\(A = P(1+\frac{r}{n} )^{\frac{n}{t} }\)
First, convert R as a percent to r as a decimal
r = R/100
r = 4/100
r = 0.04 rate per year,
Then solve the equation for A
\(A = P(1+\frac{r}{n})^{\frac{n}{t} }\)
A = 500.00(1 + 0.04/12)(12)(15)
A = 500.00(1 + 0.0033333333333333)(180)
A = $910.15
Hence the answer is, The total amount accrued, principal plus interest, with compound interest on a principal of $500.00 at a rate of 4% per year compounded 12 times per year over 15 years is $910.15.
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Answer:18
Step-by-step explanation:
What is the easiest way to find surface area?
The easiest way to find the surface area of a given shape is to use the formula for the area of the surface.
This formula, A = 2πr2 + 2πrh, is used to calculate the surface area of a shape with a circular base and a height, such as a cylinder. The formula requires two measurements, the radius (r) and the height (h). Once these two measurements are known, it is a simple matter to plug them into the formula and calculate the surface area. For example, if a cylinder has a radius of 3 cm and a height of 4 cm, then the surface area is calculated by plugging those values into the formula: A = 2π(3 cm)2 + 2π(3 cm)(4 cm) = 94.2 cm2. Thus, the surface area of this cylinder is 94.2 cm2.
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During which phase of the moon do we see the entire lighted side of the moon? first quarter new moon full moon waning gibbous
Answer: Full Moon
Step-by-step explanation:
BRAINLY IF CORRECT!!!
Does anyone know what the s inside the angle mean. The symbol?
Answer: I'm 90% sure that the S inside the angle is spatial points
The full Definition of the symbol combination is approximately equal to Spatial points?
Step-by-step explanation:
I searched s inside angle symbol and these are my results. "The angle symbol is a mathematical symbol that is placed ahead of character s, usually uppercase italic letters representing spatial points, to describe a geometric angle formed by the intersection of two lines, line segments, or rays." I'm sorry if I'm wrong.
Find the length of AC. Round to the nearest hundredth if necessary.
Answer:
13.86
Step-by-step explanation:
In ∆ ABC ,
cos 30° = AC/BC√3/2 = AC/ 16 AC = 16 * √3/2 AC = 8√3 AC = 8 * 1.732AC = 13.86which system of equations has only one solution
4x+2y=8 -4x-2y=3
Work out the circumference of this circle.
Give your answers in terms of (pi)
Answer:
12π mmStep-by-step explanation:
The circumference equation:
C =2πrGiven:
r = 6 mmThe circumference is:
C = 2π*6 mm = 12π mm\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Circumference of the circle is :
\(2\pi r\)now, here radius (r) = 6 mm, let's find the circumference :
\(2 \times \pi \times 6\)\(12\pi \: \: mm\)how to find the scale factor of 10 cm=5m
The scale factor of 10cm to 5m is 50.
What is scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures.
For example ,if a length of 5cm is doubled and it gives a length 10cm, the scale factor is 10/5 = 2. This means that we can express scale factor with a formula;
scale factor = new dimension / old dimension
Here, the old dimension is 10cm and the new dimension is 5m. We need to convert the 5m into cm
therefore 5m = 5× 100 = 500cm
therefore scale factor = 500/10 = 50
This means the scale factor of 10cm = 5m is 50
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type of item counts per minute (cpm) background source counts per minute (cpm) type of radiation source 1 fiesta-ware plate 167 alpha, beta, and gamma source 2 instant coffee 34 beta source 3 salt substitute 26 beta source 4 smoke alarm 31 alpha source 5 cream of tartar 33 beta (1pts) which is most radioactive?
The most radioactive item among the given sources is the fiesta-ware plate with 167 counts per minute (cpm). It emits alpha, beta, and gamma radiation.
The fiesta-ware plate has the highest counts per minute (cpm) with 167, indicating it has the highest level of radiation. It also emits alpha, beta, and gamma radiation, which are all types of radiation. The other sources have lower cpm values, with instant coffee at 34, salt substitute at 26, smoke alarm at 31, and cream of tartar at 33. Source 2 and Source 3 emit beta radiation, while Source 4 emits alpha radiation. Therefore, the fiesta-ware plate is the most radioactive item in the list.
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Maria determined that these expressions are equivalent expressions using the values of x = 3 and x = 7. Which statements are true? Check all that apply.
Answer:
Photo :)
Step-by-step explanation:
Got it right :))
Answer:
The expressions have equivalent values for any value of x
The expressions have equivalent values when x = 6.
When x=10, both expressions have a value of 33
Step-by-step explanation:
Can someone please help me with my homework:(
Answer:
118.3
Step-by-step explanation:
The formula for the area is a triangle is base*height/2
Area = 18.2*13/2 = 118.3
Answer:
118.3
1/2b×h
1/2(13)x18.2
6.5×18.2
118.3m^2
help please if cant read its a 15mm 20mm and 100mm
Answer:
Exact volume = 30,000 + 5,000pi cubic mm
Approximate volume = 45,700 cubic mm
========================================================
Explanation:
Break the figure into two pieces.
The top part is a half-cylinder with radius r = 20/2 = 10 mm and height h = 100 mm.
The volume of this half-cylinder is
V = 0.5*(full cylinder volume)
V = 0.5*pi*r^2*h
V = 0.5*pi*10^2*100
V = 5000pi
This is exact in terms of pi.
The lower part is a 20 mm by 100 mm by 15 mm rectangular block. It has volume of length*width*height = 20*100*15 = 30,000 cubic mm.
---------
We'll add the two volumes found earlier to get the overall volume.
The total exact volume is 30,000+5,000pi cubic mm.
To get an approximation, you can use something like pi = 3.14
30000+5000pi = 30000+5000*3.14 = 45,700 cubic mm is the approximate volume when using pi = 3.14
For each question, factor completely and choose
the number of the correct answer.
1. x +5x− 300
(1) (x-20)(x+15) (2) (x-10)(x+30)
(3) (x+20)(x-15)
(4) (x+10)(x-30)
Answer:
question no:3
Step-by-step explanation:
here
= x^2 + 5x - 300
= x^2 +(20-15)x -300
= x^2 + 20x - 15x - 300
= x(x+20) -15(x+20)
= (x+20) (x - 15)
Help!! In need of help
Answer:
sure what do u need
Step-by-step explanation:
Answer:
there is no question
Step-by-step explanation:
???