Answer:
9222521251
Step-by-step explanation:
+6261113051+
151232065+3
156
Neil bought a house for £235 000
In the first year the value of the house depreciated by 4%
In each of years 2 and 3 the value of the house increased by 6%
Work out the value of the house at the end of year 3
Answer:
Based on the given conditions, formulate: 235000×(1+1-4%)
Calculate the sum or difference:235000×(2-0.04)
Calculate the sum or difference:235000×1.96
Calculate the product or quotient:460600
get the result:460600
So the answer is 460600
Answer:
£ 253,484.16
Step-by-step explanation:
Cost of house for first year = £235,000
Year 1
Depreciation for first year is 4% = 4/100
Depreciation in £ = 235,000 x 4/100 = £9,400
Effective value of house at end of first year
= 235000 - 9400 = £225,600
Year 2
In the second year the house value increased by 6% = 6/100
So total increase in £ at the end of year 2 with an initial value of £225,600 = £225,600 x 6/100 = £13,536
So actual value of house at end of year 2
= £225,600 + £13,536
= £239,136
Year 3
The value increased by 6% for year 3.
Value at beginning of year 3 = £239,136
Increase in value at 6% = £239,136 x 6/100 = £14,348.16
Total Value at end of year 3
= £239,136 + £14,348.16
= £253,484.16
Answer: £253,484.16
Note
Another way of quickly calculating this is noting that 4% depreciation means the new value is (1 - 4%) of initial value = 1 - 4/100 = 0.96
An increase of 6% means the new value will be 1.06 times the initial value
So the value of the house after 4% depreciation for the first year and 6% appreciation for the next 2 years
= 235000 x (0.96)(1.06)(1.06) = 253,484.16
I need the answer for this question
In the function f(x) = 4x -2, which of the following is the name of the function?
Answer:
The answer is "Linear function".
Step-by-step explanation:
Linear features would be those that have a linear graph. Its following location identified to a linear function, that is \(\bold{f(x) = a+bx}\).
This function had a variable one of reliant to its variable, which is "x", and it's distinct and the response variable is reliant.
please find the attachment of the graph.
The researcher meets with one participant and asks a series of pre-determined questions using a topic guide. What type of qualitative data collection is this
The qualitative data collection method described, where the researcher meets with one participant and asks pre-determined questions using a topic guide, is commonly known as an "interview." Interviews are a form of qualitative data collection where the researcher engages in a direct conversation with the participant to gather information and insights related to the research topic. The questions are typically structured or semi-structured, allowing for flexibility and deeper exploration of the participant's experiences, perspectives, and opinions.
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What is the value of \(\frac{81^4}{3^5}\)? (Express your answer in exponential form.)
Answer:\(3^1^1\\\)
Step-by-step explanation:
\(\frac{81^4}{3^5}\)
\(\frac{3^1^6}{3^5}\)
The base is same power can be add or subtract
\(3^1^6^-^5\)
\(3^1^1\)
Composite functions
g(d) = 2d - 5
h(d) = -4d +3
Find (hºg)(d)
Answer:
\((h\circ g)(d)=-8d +23\)
Step-by-step explanation:
Composite Function
Given g(d) and h(d) real functions, the composite function named (hog)(d) is defined as:
\((h\circ g)(d)=h(g(x))\)
For practical purposes, it can be found by substituting g into h.
The functions g and h are given as:
\(g(d) = 2d - 5\)
\(h(d) = -4d +3\)
Substituting g into h:
\((h\circ g)(d)=-4(2d - 5) +3\)
Operating:
\((h\circ g)(d)=-8d +20 +3\)
\(\boxed{(h\circ g)(d)=-8d +23}\)
notes Eric is playing a video game. At a certain point in the game, he has 31,500 points. Then the following events happen, in order: He earns 2450 additional points. He loses 3310 points. . The game ends, and his score doubles. 1. Write an expression for the number of points Eric has at the end of the game. The expression should keep track of what happens in each step listed above
Step-by-step explanation:
Let's start by writing down Eric's score after each event:
- Starting score: 31,500 points
- Earns 2,450 additional points: 31,500 + 2,450 = 33,950 points
- Loses 3,310 points: 33,950 - 3,310 = 30,640 points
- Score doubles: 30,640 x 2 = 61,280 points
Therefore, the expression for the number of points Eric has at the end of the game is:
2(31,500 + 2,450 - 3,310)
Simplifying the expression:
2(30,640)
61,280
Therefore, Eric has 61,280 points at the end of the game.
a dataset on 91 roller coasters lists the duration of the ride in seconds in addition to the drop height in feet for some of the coasters. one coaster, the tower of terror, is unusual for having a large drop but a short ride. after setting it aside, a regression to predict duration from drop for the remaining 90 coasters has r29.4%. complete parts a through c.
A. The correlation coefficient (r) is given as 29.4%. To find r, divide by 100: r = 0.294. This indicates a positive, but weak, correlation between drop height and duration for the 90 roller coasters.
B. The coefficient of determination (R^2) is the square of the correlation coefficient (r). Calculate R^2 = (0.294)^2 ≈ 0.086. This means that approximately 8.6% of the variation in ride duration can be explained by the variation in drop height.
C. For the Tower of Terror, the regression model may not provide an accurate prediction of ride duration based on its drop height, as it is an outlier with a large drop but a short ride duration. The weak correlation between drop height and duration for the remaining 90 coasters suggests that this model may not be a good predictor for unusual cases like the Tower of Terror.
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A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6. Is the
relationship between x and y proportional?
Yes, because 3 is proportional to 6.
Yes, because 3 is proportional to 3 + 6.
It cannot be determined. At least one other point on the line is needed
to determine if x is proportional to y.
A
B
C
D It cannot be determined. At least two other points on the line are needed
to determine if x is proportional to y.
It cannot be determined. At least one other point on the line is needed to determine if x is proportional to y
Given data ,
A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6
Now , A single point on a straight line does not define the connection between x and y. We must evaluate the connection between x and y for several places on the line in order to establish if x is proportional to y.
As a result, the relationship between x and y cannot be inferred only from the supplied location (3, 6). To establish the proportionality between x and y, at least one more point on the line is required
Hence , the equation of line is solved
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The coordinate 3 has a weight of 2, and the coordinate 8 has a weight of 3
The weight average of the coordinates is 6
How to determine the weight average?The complete question is given as:
The coordinate 3 has a weight of 2, and the coordinate 8 has a weight of 3. And we need to calculate the weight average
The given parameters are:
Coordinate 3 has a weight of 2
Coordinate 8 has a weight of 3
.
The weight average is then calculated as:
Weight average = Sum of (Weigh * Coordinate)/Sum of Weights
So, we have:
Weight average = (3 * 2 + 8 * 3)/(2 +3)
Evaluate the quotient
Weight average = 6
Hence, the weight average of the coordinates is 6
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Complete question
The coordinate 3 has a weight of 2, and the coordinate 8 has a weight of 3.
Calculate the weight average
A national report claims that 70% of people eat out at least two nights a week. 30 out of the 50 people surveyed reported that they ate out two nights a week. Can you state the rejection region
Critical value is 1.96 for alpha = 0.05. Its a two tailed test,
Hence
Reject H o if Z>1.96 or Z< -1.96
a. H 0: π = 0.70
H1: π ≠ 0.70.
The critical values are the thresholds (two thresholds for a two-sided test) that form the boundaries of the rejection region. That is, the critical value divides the scale of the test statistic into rejection and nonrejection regions.
Critical values can refer to: In differential topology, the critical value of a differentiable function ƒ: M → N During a differentiable , the N image ƒ(x ) is.
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which of these numbers is a solution of the inequality 3x>18?
Answer:
x>6
Step-by-step explanation:
3x>18
x>6
Any number over 6 can satisfy this inequality.
answer all of the following please.
Answer:
Front = 30
Back = 30
Right = 30
Left = 30
Bottom = 25
Top = 16
Total = 161
Let me know if this helps!
Help me with this question please
4.8x10^-7
1.6x10^-11
Answer:
add up the whole thing
Step-by-step explanation:
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru is able to estimate their wait time more consistently and why?
Burger Quick, because it has a smaller IQR
Burger Quick, because it has a smaller range
Super Fast Food, because it has a smaller IQR
Super Fast Food, because it has a smaller range
Burger Quick has a smaller IQR (Interquartile Range) than Super Fast Food, indicating that the middle 50% of the data is more tightly clustered around the median.
What is the superfast food?Super Fast Food is able to estimate their wait time more consistently because it has a smaller range, which means the wait times reported by the 20 people are more closely clustered around the median wait time of 12 minutes.
Burger Quick may predict wait times more reliably than Super Fast Food due to a reduced IQR (Interquartile Range).
The IQR is a measure of the spread of the middle 50% of data, defined as the difference between the third (Q3) and first (Q1) quartiles. A lower IQR shows that the middle 50% of the data is more closely grouped around the median, implying that the data is more consistent.
Burger Quick has an IQR of 14.5 (Q3=24, Q1=9.5) in this situation, while Super Fast Food has an IQR of 7 (Q3=15.5, Q1=8.5). As a result, Burger Quick has a lower IQR and can predict their wait time more reliably than Super Fast Food.
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What is the value of x/2y, when x = 10 and y =1?
2 times 1 is 2 so the equation becomes x/2 and x is 10 so 10/2 is same as 10÷2 which is 5
In triangle ABC, the measure of angle B is 50 degrees. Give possible values for the measures of angles A and C if ABC was an acute triangle.
Answer:
Step-by-step explanation:
An acute triangle is a triangle that has all the measures of its angles to be less than 90° i.e none of the angles is greater than 90°
Since of angles in a triangle is 180, hence <A + <B + <C = 180
Given
<B = 50
50 + <A + <C = 180°
<A + <C = 180-50
<A + <C = 130°
Note that all the angles of an acute triangle are also different
Hence the possible values of A and C are 60° and 70° (since their sum must give is 130°)
Another possible values are 55° and 75°
60° and 70°
55° and 75°
Find the lateral surface area of the triangular prism.
Answer:
672
\(A_L = (a+b+c)h = (12+10+20)*16 = 672\)
WILL MARK BRAINLIEST FOR CORRECT ANSWER
DO NOT SCAM >:(
Answer:
A
Step-by-step explanation:
Median's the middle. 10 is the middle. Day 5,6, and 7 are all greater than ten, so three days.
Solve the system by substitution.
The solution of the system of linear equations is (x, y, z) = (4, 6, - 1).
How to solve a system of linear equation by substitution
In this question we are asked to find the solution to the system of linear equations by substitution method, which consist in taking advantage of explicit form of linear equations to reduce the number of variables to one and then determine the value of the remaining variables by evaluating the rest of the expressions in explicit form. We find the following expressions:
- x - y - z = - 8 (1)
- 4 · x + 4 · y + 5 · z = 7 (2)
2 · x + 2 · z = 4 (3)
First, clear x in (1):
x = 8 - y - z
Second, substitute x in (2, 3):
- 4 · (8 - y - z) + 4 · y + 5 · z = 7
- 32 + 4 · y + 4 · z + 4 · y + 5 · z = 7
- 32 + 8 · y + 9 · z = 7
8 · y + 9 · z = 39 (2b)
2 · (8 - y - z) + 2 · z = 4
16 - 2 · y - 2 · z + 2 · z = 4
16 - 2 · y = 4
2 · y = 12
y = 6 (3b)
Third, substitute in (2b):
8 · 6 + 9 · z = 39
48 + 9 · z = 39
9 · z = - 9
z = - 1
Fourth, substitute in (1):
x = 9 - 6 - (- 1)
x = 9 - 6 + 1
x = 4
The solution of the system of linear equations is (x, y, z) = (4, 6, - 1).
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Dora goes to a store and buys a phone originally priced at $45. The store is running a discount of 18%. What is the price of the phone after the discount?
Answer: 8.1 $
Step-by-step explanation: 18 percent of 45 is 8.1 ez math hope this helps.
Determine if the function below is continuous.
Answer:
No
Step-by-step explanation:
I believe at the point of (1,1) there is a distinct sort of point where it looks like an edge or corner which means that it is not continuous.
Continuous means that there is no abrupt changes (google) and im sure you know this already (im just saying no offence to anyone's intelligence)
The given function is not continuous. The correct option is D.
What is a continuous function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
A continuous function in mathematics is one that causes the value of the function to continuously vary as the input changes over time. This indicates that there aren't any discontinuities or sudden changes in value.
The point of (1,1) there is a distinct sort of point where it looks like an edge or corner which means that it is not continuous. Continuous means that there are no abrupt changes.
It is shown in the graph that the function is reducing continuously at the point ( 1,-1) and after that, there is a sudden change in the function after that it becomes constant or parallel to the x-axis.
Because there is a sudden change in the function it will be termed a discontinuous function.
Hence, the function is not continuous, and the correct option is D.
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The image below showcases a right triangle .
My questions:
What is a c, what does that represent
What is this problem asking for me
How do I solve this problem? Are there any formulas in place?
The perimeter of triangle is 66.24 units.
What is triangle?
In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane
Main body:
according to question :
c = 28
let the vertices be A,B,C
∠A= 30°
by using trigonometric ratios,
BC/ AB = sin30°
AB = C = 28
BC/28 = sin30°
BC = 28*sin30°
BC= 28*(1/2)
BC = 14
similarly
AB /CA = cos 30°
28/CA = √3/2
CA = 28*√3/2
CA = 14/√3
CA = 24.24
Hence , perimeter = AB +BC +CA = 28+14+24.24
=66.24 units
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What is the approximate area of a circle with a diameter of 31 in
Answer:
48.67
Step-by-step explanation:
31 divided by 2 = 15.5 which is the radius
15.5 times by 3.14(pi) = 48.67
a publisher reports that 26% of their readers own a laptop. a marketing executive wants to test the claim that the percentage is actually different from the reported percentage. a random sample of 100 found that 17% of the readers owned a laptop. determine the p-value of the test statistic. round your answer to four decimal places.
Rounded to four decimal places, the p-value is 0.0844.
To determine the p-value for this hypothesis test, we need to follow these steps:
Step 1: State the null and alternative hypotheses.
Null hypothesis: The percentage of readers who own a laptop is 26%.
Alternative hypothesis: The percentage of readers who own a laptop is different from 26%.
Step 2: Determine the test statistic.
We can use a z-test for proportions since we have a large enough sample size and we know the population proportion. The formula for the test statistic is:
z = (p - p) / √(p(1-p) / n)
where p is the sample proportion, p is the hypothesized population proportion, and n is the sample size.
Using the given values, we have:
z = (0.17 - 0.26) / √(0.26(1-0.26) / 100)
z = -1.72
Step 3: Determine the p-value.
Since this is a two-tailed test, we need to find the area in both tails of the standard normal distribution that corresponds to a z-score of -1.72. Using a table or a calculator, we find that the area in the left tail is 0.0422 and the area in the right tail is also 0.0422.
Therefore, the p-value is the sum of the areas in both tails:
p-value = 0.0422 + 0.0422
p-value = 0.0844
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Can anyone help please?
Answer:
A'(-3, 12)B'(9, 6)C'(-6, -6)Step-by-step explanation:
Dilation about the origin multiplies each coordinate value by the dilation factor.
For dilation factor k, the new coordinates are ...
(x, y) ⇒ (kx, ky)
Your dilation factor is 3, so the transformation is ...
(x, y) ⇒ (3x, 3y)
A(-1, 4) ⇒ A'(-3, 12)
B(3, 2) ⇒ B'(9, 6)
C(-2, -2) ⇒ C'(-6, -6)
A professor is trying to determine if her students guessed on a certain multiple choice question. She expects that if the students guessed, the distribution of answers would be uniform for that question. She compares the observed distribution of answers with the uniform distribution. The professor conducts a chi-square Goodness-of-Fit hypothesis test at the 1% significance level. Answer Choice A B C D Expected 15 15 15 15 Observed 19 20 14 7 (a) The null and alternative hypotheses are: H0: The student answers have the uniform distribution. Ha: The student answers do not have the uniform distribution. (b) Compute the test statistic, rounded to three decimal places
The chi-square test statistic for this problem is given as follows:
χ² = 6.8.
How to obtain the chi-square test statistic?The chi-square test statistic is given by the sum of the divisions between the squared difference of each observation and the expected value, by the expected value.
The squared differences in this problem are given as follows:
(19 - 15)². -> Choice A.(20 - 15)² -> Choice B.(14 - 15)² -> Choice C.(7 - 15)² -> Choice D.All these measures are taken from the table presented in this problem. The expected value is of 15 because there is a total of 60 observations and 4 possible results, hence 60/4 = 15.
Hence the test statistic is calculated as follows:
χ² = (19 - 15)²/15 + (20 - 15)²/15 + (14 - 15)²/15 + (7 - 15)²/(19 - 15)²
χ² = 6.8.
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-5x + y = 35
x - 2y = 2
.
Solve The System By Solution
Answer:
(-8,-5)
Step-by-step explanation:
Determine whether the statement "If A is 3 times 3, with columns a_1, a_2, a_3, then det A equals the volume of the parallelepiped determined by a_1, a_2, a_3" is true or false. Choose the correct answer below. O The statement is true because if M is a 2 times 2 matrix, then the area of the parallelogram determined by the columns of B is |det B|. The given statement is the natural extension of this to 3 times 3 matrices.O The statement is false because |det A| equals the volume of the parallelepiped determined by a_1, a_2, a_3. It is possible that |det A| notequalto det A. The statement is false because it is possible to have det A = 0. When this happens, det A cannot be the volume of a parallelepiped since volume must be positive. O The statement is true because | det A| equals the volume of the parallelepiped determined by a_1, a_2, a_3. Because det A greaterthanorequalto 0 for all 3 times 3 matrices A, it follows that | det A| = det A. Determine whether the statement "det A^T = (- 1)det A" is true or false. Choose the correct answer below. O The statement is true because A^T = A for any n times n matrix A. The statement is true because a row interchange is needed to turn a matrix into its transpose. A row interchange changes the sign of the determinant. The statement is false because det A^T = (-1)^n det A for any n times n matrix A. The statement is false because det A^T = det A for any n times n matrix A.
The statement "If A is 3 times 3, with columns a_1, a_2, a_3, then det A equals the volume of the parallelepiped determined by a_1, a_2, a_3" is true as the determinant of a 3x3 matrix equals the volume of the parallelepiped determined by its columns. The correct option is B). The second statement "det A^T = (- 1)det A" is false as det A^T = (-1)^(number of row interchanges) det A for any n x n matrix A. So, the correct option is B).
The first statement is true, and the correct answer is: "The statement is true because if A is 3 times 3, with columns a_1, a_2, a_3, then det A equals the volume of the parallelepiped determined by a_1, a_2, a_3. Because det A greater than or equal to 0 for all 3 times 3 matrices A, it follows that |det A| = det A." So, the correct answer is B).
The second statement is also false, and the correct answer is: "The statement is true because a row interchange is needed to turn a matrix into its transpose. A row interchange changes the sign of the determinant." So, the correct ansnwer is B).
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