T be the set of all points x in [0,1] by a Cantor set type construction is x=∑∞n=1 qn/4n
for some sequence of qns with each qn∈{1,3}.
What is Cantor set type construction?
The Cantor set is a collection of points situated on a single line segment that possesses a variety of odd characteristics.
By deleting the center third of a line segment and then repeating the process with the remaining shorter segments, the Cantor ternary set, the most popular construction, is created. The ternary construction was only briefly described by Cantor as an illustration of a more basic concept—that of a perfect set that isn't dense anywhere.
According to the given question:
The proportion (i.e., measure) of the unit interval that is left can be determined by subtracting the entire length as the Cantor set is defined as the set of points that are not excluded.
T be the set of all points x in [0,1] by a Cantor set type construction is x=∑∞n=1 qn/4n
for some sequence of qns with each qn∈{1,3}.
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ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other
Ratio is the relation between two amounts that shows the number of times one value contains within the other.
What is Ratio?
A ratio in mathematics illustrates how many times one number contains another. For example, if a dish of vegetables contains eight tomato and six carrots, the tomato-to-carrot ratio is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the proportion of carrots to tomato is 6:8 (or 3:4), while the proportion of tomato to overall fruit is 8:14. (or 4:7). A ratio's numbers can be any quantity, such as a count of persons or things, or measures of lengths, weights, time, and so forth. In most situations, both numbers must be positive.
Ratio is the relation between two amounts that shows the number of times one value contains within the other.
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EXAMPLE 6 The Heaviside function H is defined by
H(t) = {(0 text( if ) t < 0,1 text( if ) t >= 0)
[This function is named after the electrical engineer Oliver Heaviside (1850-1925) and can be used to describe an electric current that is switched on at time t = 0.] Its graph is shown in the figure.
As t approaches 0 from the left, H(t) approaches
. As t approaches 0 from the right, H(t) approaches . Therefore the limit as t approaches 0 of H(t) does not exist.
H(t) = [tex]\left \{ {{0 if t < 0} \atop {1 if t \geq 0}} \right.[/tex]
As t→0 from the left, H(t) approaches 0, as t→0 from right H(t) approaches 1.
From Laplace transformation definition:
L{f(t)} = [tex]\int\limits^\alpha _0 {e^{-st} f(t)} \, dt[/tex]
Given, H(t) = [tex]\left \{ {{0 if t < 0} \atop {1 if t \geq 0}} \right.[/tex]
Then
L{H(t)} = [tex]\int\limits^1_0 {e^{-st} H(t) } \, dt+\int\limits^\alpha _1 {e^{-st} H(t) } \, dt[/tex]
[tex]=\int\limits^1_0 {e^{-st} (0) } \, dt+\int\limits^\alpha _1 {e^{-st} (1) } \, dt[/tex]
[tex]=[\frac{e^{-st} }{-s} ]^{\alpha }_{1}[/tex]
[tex]=\frac{e^{-st} }{s}[/tex]
L{H(t)} =[tex]\frac{e^{-st} }{s}[/tex]
As t→0 from the left, H(t) approaches 0, as t→0 from right H(t) approaches 1.
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a) Alex, an eighth grader, and Eric, a seventh grader, need to determine who came
closer to their grade’s state record for the triple jump. Alex jumped 38 feet 11 2/3
inches and Eric jumped 36.89 feet. Who was closer to the state record if the eighthgrade record is 40.17 feet, and the seventh-grade record is 38 feet 1 3/5 inches? (2
points)
The person that was closest to the state record after the jump is; Alex
How to solve Algebra word problems?We are told that Alex jumped 38 feet 11²/₃ inches or 38.9725 ft and that the eighth-grade record is 40.17 feet.
Let see how closer Alex jumped was;
40.17 feet - 38.9725 ft = 1.2425 ft
We are told that Eric jumped 36.89 feet and the state record of the eighthgrade record is 40.17 feet. Thus;
Let see how closer Eric jumped was;
40.17 feet - 36.89 ft = 3.28 ft
We conclude that 1.2425 ft is less than 3.28 ft and as such Alex was closer.
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Which inequality is true when z = 9
When x = 9, the inequality - 4 + x ≤ 9 has the necessary value.
What is meant by inequality?In mathematics, an inequality displays the connection between two values in an unbalanced algebraic statement. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.
Mathematics that contains at least two terms with variables or integers that are not equal is referred to as being unequal.
Inequality, two integers or algebraic expressions with a declared order link (greater than, greater than, or equal to, less than, or less than or equal to).
As per option (B),
When substituting the values the equation -4 + 9 is less than or equal to 5.
-4 + 9 is 5 so this equation is true
The required value of inequality - 4 + x ≤ 9 is true when x = 9,
Therefore, the correct answer is option (B) -4 + x ≤ 5.
The complete question is:
Which inequality is true when x = 9?
A) 4 - x ≥ 5
B) -4 + x ≤ 5
C) 4 + x ≤ 5
D) -4 - x ≥ 5
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Carlos is going to the amusement park, where he has to pay a set price of admission and another price for tickets to go on each of the rides. The total amount of money
Carlos will spend is given by the equation y = 2x + 24, where y represents the total
amount of money, in dollars and cents, and a represents the number of rides Carlos goes on. What could the number 24 represent in the equation?
A) The total amount of money Carlos will spend if he goes on o rides.
B) The total amount of money Carlos will spend if he goes on 1 ride.
C) The change in the total amount of money he will spend for every additional ride he goes on.
D) The total amount of money Carlos will spend if he goes on 100 rides.
24 is represents the entry fee in the amusement park.
A. The total amount of money Carlos will spend $24 if he goes on o rides.
B. The total amount of money Carlos will spend $26 if he goes on 1 ride
C. The change in the total amount of money he will spend $2 for every additional ride he goes on.
D. The total amount of money Carlos will spend $224 if he goes on 100 rides.
What is a variable?
Any qualities, quantity, or number that can be gauged or tallied qualifies as a variable. A data item is another name for a variable. Examples of variables include age, sex, company income and expenses, country of birth, capital expenditures, class grades, eye color, and vehicle kind.
Given equation is y = 2x + 24
24 is represents the entry fee in the amusement park.
where y represents the total amount of money, in dollars and cents, and a represents the number of rides Carlos goes on.
Putting x = 0 in the equation to find the total amount of money Carlos will spend if he goes on o rides:
y = (2 × 0) + 24
y = 24
Putting x = 1 in the equation to find the total amount of money Carlos will spend if he goes on 1 rides:
y = (2 × 1) + 24
y = 2 + 24
y = 26
The change in the total amount of money he will spend for every additional ride he goes on is $26 - 24 = $2
Putting x = 100 in the equation to find the total amount of money Carlos will spend if he goes on 100 rides:
y = (2 × 100) + 24
y = 200 + 24
y = 224
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Choose all that apply when describing R^2. (Select all that apply.) Is used to determine the fit of a model. Can be inflated by adding more variables. Only describes the relationship between quantitative variables. Represents the percent of variability in y that can be explained by the model. Is only used in multiple linear regression. In simple linear regression, it is equal to the correlation coefficient r^2. Referred to as the coefficient of determination or coefficient of multiple determination. Can be inflated by removing variables.
The following statements are correct,
a.) Is used to determine the fit of a model.
b.) Can be inflated by adding more variables.
c.) Referred to as the coefficient of determination
d.) Represents the percent of variability in y that can be explained by the model.
e.) In simple linear regression, it is equal to the correlation coefficient r².
Define Regression Analysis
Regression analysis is a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables.
R² ≡ 1 - SS(res) / SS(tot)
SS(res) + SS(reg) = SS(tot)
R² = SS(reg) / SS(tot) = (SS(reg)/n) / ( SS(tot)/n )
Where,
The total sum of squares(proportional to the variance of the data),SS(tot) = ∑ (y - y(bar) )₂
The regression sum of squares, also called the explained sum of squares,SS(reg) = ∑ (f(i) - y(bar) )²
The sum of squares of residuals, also called the residual sum of squares,SS(res) = ∑ (y(i) - f(i) )² = ∑e²(i)
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Using the following stem & leaf plot, find the five number summary for the data. View in full window so that you have 6 rows of data.
The five number summary of the data set that is represented in the stem and leaf plot is:
Min: 10.
Q1: 24.
Med: 47
Q3: 56.
Max: 68.
How to Find the Five Number Summary from a Stem and Leaf Plot?To find the five number summary, we need to write out each of the data points given in the stem and leaf plot from the least to the greatest.
Thus, the data set are:
10, 12, 23, 24, 24, 25, 29, 42, 42, 47, 49, 50, 54, 55, 56, 58, 59, 60, 68
Find the middle (median) of the data:
47 is the center of the data set, therefore it is the median of the data.
The minimum value is the least data point, which is 10.
The lower quartile is the center of the first part of the data that is divided by the median, which is 24.
The upper quartile is the center of the second part of the data that is divided by the median, which is 56.
The maximum data value is the largest data point which is, 68.
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A window comprises a square with sides of length z and a semicircle with diameter x as shown in the figure. If the total area of the window is 463 square inches, estimate the value of x to the nearest hundredth of an inch.
The value of x nearest hundredth of an inch is 18.19 inches.
Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
Given that total area of the window is 463 square inches
We will need to write an equation using area of a square an area of a semi circle to find the approximate value of x and we know the total area of the window.
Area of square = [tex]x^{2}[/tex]
The area of the semicircle = [tex]\frac{1}{2}[/tex]πr²
So the radius squared would be 1/4 X squared
And the total area is 463.
We've got to clean this up two times pi times 1/4 that would be 1/8 times pi .
Combine like terms which would be 1.4 x squared.
Divide both sides by 1.4 and take the positive square root.
182x=18
Round to the nearest 100th which would be 18.19.
So value of x which is diameter of semicircle nearest 100th is = 18.19
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enter the letters of the points that satisfy the inequalities \[y > -\frac{1}{2} x 2 \quad \text{and} \quad 2x y \le 8.\]
An inequality is a mathematical statement that compares two expressions using an inequality symbol. In this case, we have two inequalities that involve the variables \(x\) and \(y\): \(y > -\frac{1}{2} x 2\) and \(2x y \le 8\).
To find the points that satisfy these two inequalities, we must first solve for both \(x\) and \(y\).
To find the points that satisfy the first inequality, we can solve for \(y\) and substitute it into the second inequality:
\[y > -\frac{1}{2} x 2 \implies y = -\frac{1}{2} x 2 + k \quad \text{where} \quad k > 0\]
\[2x (-\frac{1}{2} x 2 + k) \le 8 \implies x^2 - 4x + 8 \le 0\]
Solving for \(x\) yields two solutions: \(x = 2 \pm \sqrt{2}\). To find the points that satisfy both inequalities, we must test both of these solutions in the original inequalities. For \(x = 2 + \sqrt{2}\), we have:
\[y > -\frac{1}{2} \cdot (2 + \sqrt{2}) \cdot 2 \implies y > 4 - 4\sqrt{2}\]
\[2 \cdot (2 + \sqrt{2}) \cdot y \le 8 \implies 8 + 8\sqrt{2} \le 8 \quad \text{which is true}\]
Therefore, the point \((2 + \sqrt{2}, 4 - 4\sqrt{2})\) satisfies both inequalities. For \(x = 2 - \sqrt{2}\), we have:
\[y > -\frac{1}{2} \cdot (2 - \sqrt{2}) \cdot 2 \implies y > 4 + 4\sqrt{2}\]
\[2 \cdot (2 - \sqrt{2}) \cdot y \le 8 \implies 8 - 8\sqrt{2} \le 8 \quad \text{which is true}\]
Therefore, the point \((2 - \sqrt{2}, 4 + 4\sqrt{2})\) also satisfies both inequalities.
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Determine if the following ratios form a proportion
a) 45 g to 60 g and 36 kg to 48 kg
b) 450 m to 3 km and 75 cm to 7 m
Answer:
a was ture
b was wrong
Step-by-step explanation:
a)
[tex]\frac{45}{60} =\frac{3}{4}[/tex]
[tex]\frac{36}{48} =\frac{3}{4}[/tex]
b)
[tex]\frac{450m}{3km} =\frac{450}{3000} =\frac{3}{20} \\[/tex]
[tex]\frac{75cm}{7m}=\frac{75}{700} =\frac{15}{140}[/tex][tex]=\frac{1}{7}[/tex]
Answer:
1. 45:60 = 36:48
(45:60)/15 = (36:48)/12 (divide by their GCF)
3:4 = 3:4
PROPORTION2. 4500:3 = 75:700
(4500:3)/3 = (75:700)/25
1500:1 = 3:28
NOT PROPORTIONStep-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-use the given information to complete the proof of the following theorem. the angles opposite the two congruent sides of an isosceles triangle are congruent.
The angle opposite to the two congruent sides of an isosceles triangle are congruent.
To prove that the angles opposite the two congruent sides of an isosceles triangle are congruent, we can use the following steps:
Draw a diagram of an isosceles triangle with two congruent sides and two corresponding angles opposite these sides. Label the vertices A, B, and C, with B being the vertex opposite the base of the triangle.Since the triangle is isosceles, AB = AC.Since the sides AB and AC are congruent, we can apply the SAS Congruence Theorem to triangles ABC and ACB. This states that if two sides of a triangle are congruent and the included angle is congruent, then the triangles are congruent.Therefore, triangles ABC and ACB are congruent.Since triangles ABC and ACB are congruent, the corresponding angles are congruent. In particular, ∠BAC is congruent to ∠CAB.Therefore, the angles opposite the two congruent sides of an isosceles triangle are congruent.This completes the proof of the theorem
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The ratings for the ten leading passers in the league for 2009 regular season play are ranked in the table. Construct a box plot for the rating points data. Rank : 1, 2, 3, 4, 5, 6, 7, 8, 9. 10
NFL Passer : A, B, C, D, E, F, G, H, I, J
Rating Points : 93.5, 96.3, 97.9, 98.9, 99.3, 101.1, 103.9, 104.8, 105.1, 109.5 Choose the correct graph below ? A. Q1 -98.9, Q2-1011 Q3-105.1 B. Q1-96.3, Q2-98.9 Q3-101.1 C. Q1 -97.9, Q2-100.2, Q3-104.8
The minimum value, the first quartile (Q1), the median, the third quartile (Q3), and the maximum value must all be calculated before we can create a box plot for the rating points data.
The median of the lower and upper halves of the data must be determined in order to determine the first and third quartiles, respectively. The numbers from the minimum to the median make up the lower half of the data, while the values from the median to the highest make up the upper half.
We must first organize the numbers in numerical order: 93.5, 96.3, 97.9, 98.9, 99.3, 101.1, 103.9, 104.8, 105.1, 109.5. This will help us determine the median of the lower half of the data. The lower half's mean, which is (99.3 + 101.1) / 2 = 100.2, is then the average of the fifth and sixth values.
Again, the numbers must be arranged in numerical order to determine the median of the upper half of the data: 93.5, 96.3, 97.9, 98.9, 99.3, 101.1, 103.9, 104.8, 105.1, and 109.5. The average of the sixth and seventh numbers, or (101.1 + 103.9) / 2, equals 102.5, which is the median of the top half.
Following that, Q1 = 100 indicates the first and third quartiles.
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10. Spotify charges x dollars for individual songs and y dollars for entire albums. Person A pays $14.9 A to download 5 individual songs and 1 album. Person B pays $22.95 to download 3 individual songs and 2 albums. How much does Spotify charge to download a song? an entire album?
Spotify charges $0.98 for individual song and $10 for entire album
According to the question,
Spotify charges "x" dollars for individual songs and "y" for entire album
Also, Person A pays $14.9 to download 5 individual songs and 1 album
Which can be written as
=> 5x + y = 14.9 --------------(1)
Person B pays $22.95 to download 3 individual songs and 2 albums
=> 3x + 2y = 22.95 ---------(2)
Solving these two linear equations by elimination method
Multiplying equation (1) by 2
=> 10x + 2y = 29.8
Now, subtracting these equation
10x + 2y - 3x - 2y = 29.8 - 22.95
=> 7x = 6.85
=> x = 0.98
Replacing value of x in equation (1),
=> 5(0.98) + y = 14.9
=> 4.9 + y = 14.9
=> y = 10
Hence , Spotify charges $0.98 for individual song and $10 for entire album
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consider two medical tests, a and b, for a virus. test a is 90% effective at recognizing the virus when it is present, but has a 5% false positive rate (indicating that the virus is present, when it is not). test b is 95% effective at recognizing the virus, but has a 10% false positive rate. the two tests use independent methods of identifying the virus. the virus is carried by 2% of all people.Say that a person is tested for the virus using only one of the tests, and that test comes back positive for carrying the virus.Which test returning positive is more indicative of someone really carrying the virus? Justify your answer mathematically (i.e. writing down your calculations).
P(V|B)>P(V|A)
P(V|B)>P(V|A), so Bob is more likely to have virus, however is is still very small probability (only 15%), so in order to confirm illness, he should make one more test.
P(A/V) = 0.95
From the text we can also conclude, that
P(A| V) = 0.1
P(B|V) = 0.9
P(B| V) = 0.5
P(V)= 0.1
What we need to calculate and compare is P( V |A) and P(V|B)
P(V∩A) = P(A) . P(V|A) => P(V|A)
P(V∩A) / P(A)
P(V∩A) means, that Joe has a virus and its detected so.,
P(V∩A) = P(A) . P(V|A) = 0.01 × 0.95
= 0.0095
P(A) is sum of two options: "Joe has virus and it is detected" and "Joe has no virus, but it was mistakenly detected", therefore:
P(A) = P(A) . P(V|A) + P(≈V)
P(A|≈V) = 0.01 . 0.95 + 0.99 . 0.1
= 0.1085
Dividing those 2 numbers we obtain
P(V|A) = 0.0095 / 0.1085
= 0.0875576036
Analogically,
P(V|B) = P(V∩B) / P(B)
= 0.01 . 0.9 / 0.01 . 0.9 + 0.99 . 0.1
= 0.1538461we observe that P(V|B) > P(V|A) ,
so Bob is more likely to have virus, however is is still very small probability (only 15%), so in order to confirm illness, he should make one more test.
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the monthly salaries (in thousands of dollars) for a sample of 7 employees of a firm are: 9, 7, 8, 7, 10, 11 and 11. which of the following statements is true about the mean, median and mode?
For the given monthly salaries of the 7 employees of the firm , then the true statement is : (a) mean = median .
In statistics the Mean is defined as sum of a collection of numbers divided by count of numbers .
the given monthly salaries is 9, 7, 8, 7, 10, 11 and 11.
arranging the data in ascending order ,
we get ; 7 , 7 , 8 , 9 , 10 , 11 , 11 .
the sum of the salaries is = 63 ;
So , the mean is = 63/7 = 9 .
median is the middle term of the given data that is = 9 ;
the mode is the most times occurred frequency that is 7 and 11 .
On comparing the mean , mode and median ,
we get ; mean = median .
Therefore , the correct statement is (a) mean = median .
The given question is incomplete , the complete question is
The monthly salaries (in thousands of dollars) for a sample of 7 employees of a firm are: 9, 7, 8, 7, 10, 11 and 11.
Which of the following statements is true about the mean, median and mode ?
(a) mean = median
(b) mode < median < mean
(c) mode < mean < median
(d) mode = median = mode .
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give an example of a continuous function and closed interval that do not satisfy the conclusion of the mean value theorem
A continuous function is the one in which the function is continuous is the interval given for the function.
A continuous function that does not satisfy the conclusion of the mean value theorem on a closed interval is the function f(x) = |x| on the interval [-1, 1].
This function is continuous on the interval [-1, 1], but it does not have a derivative at x = 0. Therefore, the mean value theorem does not apply at this point, and there is no value c in the interval [-1, 1] such that f'(c) = (f(1) - f(-1))/(1 - (-1)).
This is an example of a function that is continuous on a closed interval, but does not satisfy the conclusion of the mean value theorem.
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Evaluate the algebraic expression for
the given values of x=
3 and y = 4.
7x - 2y - 1 = ?
Will give brainlest answer!!
Answer: 12
Step-by-step explanation:
7(3)-2(4)-1=12
Lime Scooter Rentals in San Diego charges $2 to start and
$0.10 per minute after. The price to rent a scooter for m
minutes from Spin Scooter Rentals is shown in the graph to
the right. For which time(s) are the prices the same at both
rental companies?
The time for which the cost is the same for both companies is given as follows:
10 minutes.
How to define the cost functions?As the cost per unit of time is constant for each company, the cost functions are linear functions.
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
The coefficients and their meaning are given as follows:
m is the slope, representing the cost per minute.b is the intercept, representing the initial cost.Then the cost functions are given as follows:
Lime Scooter Rentals: y = 2 + 0.1x.Spin Scooter Rentals: y = 1 + 0.2x. (from the graph, in 10 minutes, the cost increased by $2, then the slope is of 0.2).Then the costs will be the same when:
1 + 0.2x = 2 + 0.1x
0.1x = 1
x = 1/0.1
x = 10 minutes.
Missing InformationThe graph for the cost for Spin Scooter Rentals is given by the image shown at the end of the answer.
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the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length is
The segment joining the midpoints of two sides of a triangle is parallel to the third side and half as long as the third side.
According to Midpoint theorem, if the midpoints of two sides of a triangle are joined by the segment, then resultant segment is parallel to the third side of the triangle and is half of the length of the third side. Consider the triangle ABC, as shown in the figure. Let the midpoints of the sides AC and AB be given as E and D. Then the line DE is said to be parallel to the side BC, whereas the side DE is half of the side BC i.e., DE || BC and DE = (1/2 BC).
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if the simple interest on 3,000 for 10 years is 1,500 then what is the interest rate?
Answer:
5%
Step-by-step explanation:
Interest = deposit * annual rate * years
1500 = 3000 * rate * 10 yrs
1500/(3000*10) = rate in decimal form = .05 = 5 %
Lines that intersect at 90º are skew lines.
False
True
Answer:
False
Step-by-step explanation:
Lines that intersect at 90 degrees are called perpendicular lines.
Skew lines do not intercept.
Zenith Investment Company is considering the purchase of an office property. It has done an extensive market analysis and has estimated that based on current market supply or demand relationships, rents, and its estimate of operating expenses, annual NOI will be as follows:
Year NOI
1 $ 1,210,000
2 1,210,000
3 1,210,000
4 1,270,000
5 1,320,000
6 1,370,000
7 1,409,000
8 1,449,170
A market that is currently oversupplied is expected to result in cash flows remaining flat for the next three years at $1,210,000. During years 4, 5, and 6, market rents are expected to be higher. It is further expected that beginning in year 7 and every year thereafter, NOI will tend to reflect a stable, balanced market and should grow at 3 percent per year indefinitely. Zenith believes that investors should earn a 12 percent return (r) on an investment of this kind.
Required:
a. Assuming that the investment is expected to produce NOI in years 1 to 8 and is expected to be owned for seven years and then sold, what would be the value for this property today? (Hint: Begin by estimating the reversion value at the end of year 7. Recall that the expected IRP = 12% and the growth rate (g) in year 8 and beyond is estimated to remain level at 3%.)
b. What would the terminal capitalization rate (RT) be at the end of year 7?
c. What would the going-in capitalization rate (R) be based on year 1 NOI?
The value of the property at the end of year 7 is 15,324,111$. for a detailed answer read below.
What is NOI?The net operating income (NOI) formula determines a company's revenue after operating costs have been subtracted, but before interest and taxes have been subtracted.
The net operating income of the property is given for years 1 to 8 in the question. Z Corporation wants to own the property for seven years and then sell the property in the 8th year. The growth rate in NOI is 3%, and the expected return on property is 12%.
The value of the property today is the present value of all the cash flow that the property can earn in the future. The terminal value of the property is the reversion value at the end of the eighth year. Compute the terminal value as follows. The value of the property at end of year 7 is $15,324,111. The current value of the property is the present value of all the cash inflow in terms of net operating income and the terminal value. In order to compute the present value of all future cash flows using the “NPV” function of the spreadsheet.The discount rate utilized to account for the property's growth rate while calculating the terminal capitalization rate is the perpetual cash flow from the asset. It is the gap between the growth rate in NOI (Net Operating Income) over an endless period of time and the IRR (the needed rate of return of the investor). The percentage return an investor will get on the property's worth is known as the "going-in" capitalization rate. It is calculated by dividing the property's first year's NOI by the property's current value.When comparing properties, the "going-in" capitalization rate is deceptive and useless. This is due to the fact that it disregards the property's overall NOI throughout all years. The first year's net operating income is divided by the property's current market value to get the going-in cap rate based on first-year NOI. The going-in cap rate = first-year NOI / Current value of the property.The "going-in" capitalization rate should be calculated as follows: So, using first-year NOI as the basis, the cap rate is. 8.29%
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how many 2/3 cup serving are in a 4 cup container of food?
Answer:
6
Step-by-step explanation:
Divide 4 by [tex]2/3[/tex]
[tex]\frac{4}{2/3}[/tex] =[tex]\frac{4*3}{2}[/tex]
=6
What is the smallest positive integer n, such that there exist positive integers a and b, with b obtained from a by a rearrangement of its digits, so that a–b=11…1 (The number of '1's equal to n)?
The smallest n is n=9.
What is an integer, and what are some examples of them?
A full number (not a fraction) that can be positive, negative, or zero is called an integer (pronounced IN-tuh-jer).
-5, 1, 5, 8, 97, and 3, 043 are some examples of integers.
-1.43, 1 3/4, 3.14,.09, and 5,643.1 are a few examples of numbers that are not integers.
Formally, the set of integers, designated Z, is defined as follows:
Z = {..., -3, -2, -1, 0, 1, 2, 3, ...}
Since b=DigitsRearranged(a)
→ a and b have the same remainder when divided by 9
→ a−b is divisible by 9
→ n≥9
And this is sufficient because there is a solution for this n:
a=812,345,709b=701,234,598a−b=111,111,111
So the smallest n is n=9.
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the number of ways to pick a digit, a lowercase letter, an uppercase letter, or one of eight allowable punctuation marks
The number of ways to pick a digit, a lowercase letter, an uppercase letter, or one of eight allowable punctuation marks is 70.
The total number of digits (0-9) = 10.
Thus, the number of ways to pick a digit = 10.
The total number of lowercase letters (a - z) = 26
Thus, the number of ways to pick a lowercase letter = 26.
The total number of uppercase letters (A - Z) = 26
Thus, the number of ways to pick an uppercase letter = 26.
The total number of allowable punctuation marks = 8
Thus, the number of ways to pick a punctuation = 8.
Hence, the total number of ways to pick a digit, a lowercase letter, an uppercase letter, or one of eight allowable punctuation marks is -
10 + 26 + 26 + 8 = 70.
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1) How much interest will you pay on a $43,000 car loan with a fixed APR of 4.9% if the loan is
for 5 years?
You pay the interest of 350 dollar on a $43,000 car loan with a fixed APR of 4.9% if the loan is for 5 years
What is APR?The term annual percentage rate of charge, sometimes referred to as a nominal APR and sometimes referred to as an effective APR, refers to the interest rate for the entire year, rather than just a monthly fee/rate, as applied to a loan, mortgage loan, credit card, and so on. It is a finance charge calculated on an annual basis.
We are given that it took out a car loan for $43,000 car loan with a fixed APR of 4.9% if the loan is for 5 years
We know that r = 4.9/12/100 = 0.0049
p = 43,000
Putting the values in formula we get;
= (43,000x 0.0049 x 2.767)/1.767
= $350
Therefore, the interest will be 350 dollar.
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-5 x -9 ddddddddddddd
Answer:
45
Step-by-step explanation:
two negative numbers multiplied equals a positive number
Can someone help me answer this
The two relations that are also functions are:
S = { (-1, 0), (3, 2), (5, 4), (8, 9), (15, 12)}R = {(0, -1), (2, 1), (5, 4), (7, 9), (14, 12)}Which of the following relations represent functions?A relation is a function if and only if each point in the domain is mapped into a single value of the range.
So for example, the following relation:
{ (a, b), (a, c), (d, f)}
The input a is mapped into two different outputs, thus, this is not a function.
Then from the given options the ones that can be functions are:
S = { (-1, 0), (3, 2), (5, 4), (8, 9), (15, 12)}
R = {(0, -1), (2, 1), (5, 4), (7, 9), (14, 12)}
In all the other relations we can see inputs mapped into more than one output.
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Suppose five officials O1, O2, O3 , O4 , O5 are to be assigned five different city
cars: an Escort, a Lexus, a Nissan, a Taurus, and a Volvo. O1 will not drive an
Escort or a Nissan; O 2 will not drive a Taurus; O3 will not drive a Lexus or a
Volvo; O 4 will not drive a Lexus; and O5 will not drive an Escort or a Nissan. If
a feasible assignment of cars is chosen randomly, what is the probability that
(a) O1 gets the Volvo?
(b) O2 or O5 get the Volvo? (Hint: Model this constraint with an altered board.)
(a) The probability that O1 gets the Volvo is 3/10 .
(b) The probability that O2 or O5 will get the Volvo is 1/2 .
In the question ,
it is given that ,
the five officials : O1, O2, O3 , O4 , O5 are to be assigned five different city cars: a Escort, Lexus, Nissan, the Taurus, and the Volvo .
From the given data , the table formed is shown below .
From the table , we can observe that ,
O1 will not drive the Escort or a Nissan . So, he has chance of getting one car among Lexus, Taurus & Volvo = 3 possibilities
O2 will not drive the Taurus . So, he has chance of getting one car among Escort , Nissan ,Lexus, & Volvo = 4 possibilities
O3 will not drive the Lexus or Volvo . So, he has chance of getting one car among Escort , Nissan ,Taurus = 3 possibilities
O4 will not drive the Lexus so he has chance of getting one car among Escort , Nissan ,Taurus, Volvo = 4 possibilities
O5 will not drive the Escort or a Nissan . So, he has chance of getting one car among Lexus, Taurus & Volvo = 3 possibilities .
The 20 possible arrangements for E,L,N,T,V are :
{ (O2, O1, O3, O4, O5), (O2, O1, O3, O5, O4), (O2, O1, O4, O3, O5),
(O2, O5, O3, O1, O4), (O2, O5, O3, O4, O1),(O2, O5, O4, O3, O1),
(O3, O1, O2, O4, O5), (O3, O1, O2, O5, O4), (O3, O1, O4, O5, O2),
(O3, O2, O4, O1, O5), (O3, O2, O4, O5, O1), (O3, O5, O2, O1, O4),
(O3, O5, O2, O4, O1), (O3, O5, O4, O1, O2), (O4, O1, O2, O3, O5),
(O4, O1, O3, O5, O2), (O4, O2, O3, O1, O5), (O4, O2, O3, O5, O1),
(O4, O5, O2, O3, O1), (O4, O5, O3, O1, O2) }
Part(a) : The probability that O1 gets the Volvo is = 6/20 = 3/10 .
and
Part(b) :
Probability of O2 or O5 gets the Volvo = (Probability of O2 getting Volvo
) + (Probability of O5 getting Volvo) .
= 4/20 + 6/20
= 10/20 = 1/2 .
Therefore , the required probability for (a) is 3/10 and for (b) is 1/2 .
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Sophie kicks a football. It’s height in feet is given by h(t) = -16t^2 + 16t where t represents the time in seconds after kick. How many seconds have give by when the football is at it highest point?
Answer:
The time at which the football reaches its highest point is 0.5 seconds.
Step-by-step explanation:
The height of an object thrown into the air is determined by the formula h(t) = -16t^2 + vt + h, where t represents the time in seconds after the object is thrown, v is the initial velocity with which the object is thrown, and h is the initial height from which the object is thrown. In this case, the initial velocity of the object is 16 feet per second and the initial height is 0 feet.
To find the time at which the football reaches its highest point, we need to find the value of t that makes the value of h(t) maximum. This value of t can be found by taking the derivative of the equation h(t) and setting it equal to 0. The derivative of h(t) is given by h'(t) = -32t + 16. Setting h'(t) equal to 0, we get -32t + 16 = 0, which can be solved to get t = 0.5 seconds.
Therefore, the time at which the football reaches its highest point is 0.5 seconds.