Answers
Answer:
x = 30
Step-by-step explanation:
\( \triangle JLK\sim\triangle PQR\) (given)
\( \therefore \frac{JL}{PQ}=\frac{LK}{QR} \)
(corresponding sides of similar triangles)
\( \therefore \frac{20}{x}=\frac{22}{33} \)
\( \therefore \frac{20}{x}=\frac{2}{3} \)
\( \therefore x=\frac{20\times 3}{2} \)
\( \therefore x=\frac{60}{2} \)
\( \therefore x=30 \)
Or using scale factor:
Scale factor = 33/22 = 3/2
x = 20*3/2
x = 10*3
x = 30
Related Questions
selling price of a $23 pair of shorts with a 6.8% sales tax.
Answers
Answer:
yes it is 24.56 all you have to do is add 23.00 plus 6.8% that gives you 24.564 but since there is a 4 after the 6 and its lower than 5 it goes to 56 and not 57
the following table represents a linear function. use the values in the table below to find the slope of the line
Answers
? = 25
For each of the datasets, compute: (a) The mean (b) The median (c) The mode (d) The range (e) The variance (f) The standard deviation (g) The coefficient of variation 45.5, 47.0, 34.0, 42.0, 54.0, 43.5, 53.6, 56.9, 58.0, 45.0, 54.5, 54.0, 43.6, 45.0, 53.9, 41.8, 33.0, 43.1, 52.4, 37.9, 34.5, 40.1, 33.0, 59.9, 62.6, 54.1, 45.7, 40.7, 45.0, 59.0
Answers
For the given data set we can calculate the mean and other properties of it:
The mean = 47.11The Median = 45.25The mode = 45The range = 29.6The variance = 72.3The standard deviation = 8.49What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
Given a data set 45.5, 47.0, 34.0, 42.0, 54.0, 43.5, 53.6, 56.9, 58.0, 45.0, 54.5, 54.0, 43.6, 45.0, 53.9, 41.8, 33.0, 43.1, 52.4, 37.9, 34.5, 40.1, 33.0, 59.9, 62.6, 54.1, 45.7, 40.7, 45.0, 59.0
The general formula for mean:
\(\text{mean} = \overline{x} = \dfrac{\sum_{i=1}^{n}x_i}{n}\)
In our case,
Mean = 1413.3/30
Thus, Mean = 47.11
Since The median x˜ is the data value separating the upper half of a data set from the lower half.
Arrange data values from lowest to the highest valueThe median is the data value in the middle of the setIf there are 2 data values in the middle the median is the mean of those 2 values.Thus, median = 45.25
Since Mode is the value or values in the data set that occurs most frequently.
Thus, in our case, as we can observe the mode = 45.0
Since Interquartile Range,
IQR = Q3 - Q1
In our case,
IQR = 29.6
For variance and standard deviation,
\(s^{2} = \dfrac{\sum_{i=1}^{n}(x_i - \overline{x})^{2}}{n - 1}\\s^{2} = \dfrac{SS}{n - 1}\\s^{2} = \dfrac{2091.767}{30 - 1}\\s^{2} = 72.129897\)
Thus,
Variance s² = 72.13
Standard Deviation s = 8.49
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Leslie wants to invest $3,800.00 in a savings account that pays 4.8% simple interest.
How many years will it take for this investment to triple in value? Round your answer to the nearest tenth of a year.
It will take _______ years for this investment to triple in value.
Answers
Answer:
It will take 41.7 years for this investment to triple in value.
Step-by-step explanation:
Here is the formula for simple interest
\(A=P(1+rt)\)
Lets solve for \(t\).
Divide both sides by \(P\).
\(\frac{A}{P}=rt+1\)
Subtract 1 from both sides.
\(\frac{A}{P}-1=rt\)
Divide both sides by \(r\).
\(\frac{\frac{A}{P}-1}{r} =t\)
To write \(-1\) as a fraction with a common denominator, multiply by \(\frac{P}{P}\) .
\(\frac{\frac{A}{P}-1*\frac{P}{P}}{r} =t\)
\(\frac{\frac{A}{P}*\frac{-P}{P}}{r} =t\)
Combine the numerators over the common denominator.
\(\frac{\frac{A-P}{P} }{r} =t\)
Multiply the numerator by the reciprocal of the denominator.
\(t=\frac{A-P}{Pr}\)
We are given
\(P=3800\\r=0.048\)
We need to find what amount is triple his money.
\(3800*3=11400\)
\(A=11400\)
Substitute our numbers into the equation for \(t\).
\(t=\frac{11400-3800}{3800*0.048}\)
Factor 3800 out of 11400.
\(t=\frac{3800*3-3800}{3800*0.048}\)
Factor 3800 out of −3800.
\(t=\frac{3800*3-3800*-1}{3800*0.048}\)
Factor 3800 out of \(3800*3-3800*-1\).
\(t=\frac{3800*(3-1)}{3800*0.048}\)
Cancel the common factor of 3800.
\(t=\frac{3-1}{0.048}\)
Simplify.
\(t=\frac{2}{0.048}\)
\(t=41.666\)
Merry Christmas!
Which expression is equivalent to the expression quantity negative 7 over 6 times t plus 4 over 9 end quantity minus expression quantity negative 5 over 12 times t plus 2 over 3 end quantity?
negative 12 over 18 times t plus 6 over 12
negative 9 over 12 times t minus 2 over 9
12 over 18 times t plus negative 6 over 12
2 over 12 times t plus 2 over 6
Answers
The equivalent expression will be;
⇒ - 19 / 12t - 2 / 9
⇒ Negative 19 over 12 times t minus 2 over 9
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is,
''The quantity negative 7 over 6 times t plus 4 over 9 end quantity minus expression quantity negative 5 over 12 times t plus 2 over 3 end quantity''
Now,
Write the algebraic expression in mathematical form as;
⇒ {- 7 / 6t + 4/9} - {5 / 12t + 2 / 3}
Solve the expression as;
⇒ {- 7 / 6t + 4/9} - {5/12t + 2/3}
⇒ - 7 / 6t + 4/9 - 5/12t - 2/3
⇒ - 7 / 6t - 5/12t - 2/3 + 4/9
⇒ (-14 - 5) / 12t + (4 - 6) / 9
⇒ - 19 / 12t - 2 / 9
Thus, The equivalent expression will be;
⇒ - 19 / 12t - 2 / 9
⇒ Negative 19 over 12 times t minus 2 over 9
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Please help me I beg you I will mark as the brainlest
Answers
Answer:
Step-by-step explanation:
19)
Make the point (-7,2) to (2,-7)
Make point (-1,-2) to (-2,-1)
Make the point (1,4) to (4,1)
20) Make the point (-1,-4) to (-4,-1)
Make the point (-4,-5) to (-5,-4)
Make the point (-7,-6) to (-6,-7)
What is the range of h(x)?
Answers
blank minus 1/2 equls to 3/4
Answers
Answer:
5/4
Step-by-step explanation:
We can start but setting the blank as x.
x - 1/2 = 3/4
we can put a common denominator on both of the.
2, 4
4, 8
4 is a common denominator.
1/2 times 2/2 = 2/4
x - 2/4 = 3/4
add on both sides.
x = 5/4
Answer:
5/4
Step-by-step explanation:
____ - 1/2= 3/4
____= 3/4+1/2
= 3+2/4 ( LCM of 2,4 is 4)
5/4
Check
5/4-1/2=3/4
during a lunch seminar, chocolate, caramel and strawberry topping were available how many 2 topping sundaes are possible?
Answers
Answer:
There are 3 two topping sundaes possible.
Step-by-step explanation:
The order in which the toppings are chosen is not important. For example, chocolate and caramel topping is the same as a caramel and chocolate topping. So we use the combinations formula to solve this question.
Combinations Formula:
\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
How many 2 topping sundaes are possible?
2 toppings from a set of 3(chocolate, caramel and strawberry). So
\(C_{3,2} = \frac{3!}{2!(3-2)!} = 3\)
There are 3 two topping sundaes possible.
Use the given rounded values, the properties of logsand your knowledge of logarithmic functions to find thevalue of each log expression. Show your work.
Answers
We want to find the value for
\(\log _425\)To do that, first let's rewrite this expression as
\(\log _425=\log _45^2\)Using the following property
\(\log _ab^c=c\log _ab\)We can rewrite our expression as
\(\log _45^2=2\log _45\)Using the given value on the text, we get our answer
\(\log _425=2\log _45=2\cdot1.2=2.4\)What statement describes the graph?
Answers
Determine whether the following statement is true or false. The y-coordinate of the vertex of f(x) = - X + 4x + 3 is f(2). Select the correct choice below and fill in the answer box to complete your choice. A. The statement is true because the x-intercept of the parabola is B. The statement is false because the y-coordinate of the vertex is f(()). C. The statement is true because the x-coordinate of the vertex is 4 D. The statement is false because the y-coordinate of the vertex is
Answers
Answer:
Listen don't use this site
Step-by-step explanation:
They are using people to make money
The weight of an organ in adult males has a bell-shaped distribution with a mean of 350 grams and a standard deviation of 45 grams. Use the empirical rule to determine the following. (a) About 68% of organs will be between what weights? (b) What percentage of organs weighs between 260 grams and 440 grams? (c) What percentage of organs weighs less than 260 grams or more than 440 grams? (d) What percentage of organs weighs between 215 grams and 440 grams?
Answers
Answer:
a) About 68% of the data would be between 305 grams to 395 grams
b) About 95% of organs weighs between 260 grams and 440 grams
c)About 5% of organs weighs less than 260 grams or more than 440 grams
d) About 97% of organs weighs between 215 grams and 440 grams
Step-by-step explanation:
The empirical rule formula:
1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
(a) About 68% of organs will be between what weights?
We would be applying the First rule of the Empirical formula to this.
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
Mean = 350 grams
Standard deviation = 45 grams
Hence,
350 grams - 45 grams
= 305 grams
350grams + 45grams
= 395 grams
Therefore about 68% of the data would be between 305 grams to 395 grams
(b) What percentage of organs weighs between 260 grams and 440 grams?
Let try the second rule
2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
Mean = 350 grams
Standard deviation = 45 grams
μ - 2σ
= 350 - 2(45)
= 350 - 90
= 260
μ + 2σ
= 350 + 2(45)
= 350 + 90
= 440
Therefore, about 95% of organs weighs between 260 grams and 440 grams
(c) What percentage of organs weighs less than 260 grams or more than 440 grams?
Let try the second rule
2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
Mean = 350 grams
Standard deviation = 45 grams
μ + 2σ
= 350 - 2(45)
= 350 - 90
= 260
μ + 2σ
= 350 + 2(45)
= 350 + 90
= 440
Since, about 95% of organs weighs between 260 grams and 440 grams, the percentage of organs weighs less than 260 grams or more than 440 grams is calculated as:
100% - 95%
= 5%
Therefore, percentage of organs weighs less than 260 grams or more than 440 grams is 5%
(d) What percentage of organs weighs between 215 grams and 440 grams?
For 215 grams, we apply the 3rd rule to confirm
= 3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
Mean = 350 grams
Standard deviation = 45 grams
μ - 3σ
= 350 - 3(45)
= 350 - 135
= 215.
Hence, 99% of the organs weigh 215 grams
For 440, from the solve questions above, we know the second rule applies.
Hence,
2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
Mean = 350 grams
Standard deviation = 45 grams
μ + 2σ
= 350 + 2(45)
= 350 + 90
= 440
Hence,
99% + 95%/ 2
= 194% / 2
= 97%
Therefore, about 97% of organs weighs between 215 grams and 440 grams
A bowl contains an apple, a plum, a pear, and a banana. How many different pairs of fruit can be selected from the bowl
Answers
Based on the information given about the combination, the number of different parts of fruits that can be selected from the bowl will be 6.
Solving the combination.Since the bowl contains an apple, a plum, a pear, and a banana, the different pairs of fruit that can be selected from the bowl will be 4C2.
We can solve this further which will be:
= 4C2
= 4! /2! (4 - 2)!
= 4! / 2!2!
= (4 × 3 × 2)/ 2 × 2
= 24/4
= 6
Therefore, 6 different pairs of fruit can be selected.
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Un hombre posee 50 acciones con un valor de 30 cada una , la corporación declaró un dividendo del 6% pagadero en acciones ¿cuantas acciones poseía entonces?
Answers
el hombre tenía 50 acciones.
La pregunta es, ¿cuántas acciones poseía el hombre si declararon un dividendo del 6% pagadero en acciones y tenía 50 acciones con un valor de $30 cada una?Para calcular cuántas acciones tenía el hombre,
se puede utilizar la siguiente fórmula:Dividendos = Número de acciones * Precio por acción * Tasa de dividendosDe esta fórmula,
podemos despejar el número de acciones. Así, tenemos:Número de acciones = Dividendos / (Precio por acción * Tasa de dividendos)De los datos del problema, se sabe que el hombre tenía 50 acciones con un valor de $30 cada una.
Además, la corporación declaró un dividendo del 6% pagadero en acciones. Por lo tanto, la tasa de dividendos es del 6%.Para resolver el problema, primero debemos calcular el valor del dividendo que se pagará en acciones.
Para ello, se debe multiplicar el valor de las acciones del hombre por la tasa de dividendos.
Así, tenemos:Valor del dividendo = 50 acciones * $30 * 0.06 = $90El valor del dividendo es de $90. Ahora, podemos sustituir este valor en la fórmula para calcular el número de acciones que tenía el hombre.
Así, tenemos:Número de acciones = $90 / ($30 * 0.06) = 50 accionesPor lo tanto,
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Un profesor de Enseñanza Básica le indica a sus alumnos que escojan tres dígitos
diferentes del conjunto {1, 2, 3, 4, 5} y formen números mixtos colocando los dígitos
en el casillero . También les recuerda que la parte fraccionaria tiene que ser
menor que 1, por ejemplo
2
3
5
. ¿Cuál es la diferencia entre el mayor y el menor de los
números mixtos que se pueden formar?
Answers
Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.
A mixed number is a number that has both a whole number and a fraction component. To form three-digit mixed numbers, we need to have a whole number that is less than 100 and a proper fraction that has a denominator less than or equal to 99. Here are some examples:123 4/567 2/8109 1/2382 3/47There are a total of 900 three-digit numbers that can be formed using digits 1 to 9 without repetition. To find the number of three-digit mixed numbers that can be formed, we need to count the number of ways we can choose a proper fraction with a denominator less than or equal to 99. There are 99 possible denominators, and for each denominator, there are 98 possible numerators (excluding 0 and the denominator itself). Therefore, the total number of three-digit mixed numbers that can be formed is:900 x 99 x 98 = 8,334,600There are 8,334,600 three-digit mixed numbers that can be formed using digits 1 to 9 without repetition.For such more question on fraction
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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.
How to solveThe three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.
The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.
The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.
The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.
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The Question in English
A Basic Education teacher tells his students to choose three digits
different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits
in the locker It also reminds them that the fractional part has to be
less than 1, for example
2
3
5
. What is the difference between the greatest and the least of the
mixed numbers that can be formed?
A local congressman must decide whether or not to vote for a bill to reduce the speed limit.
Supporters of the bill claim that the gas mileage improves at lower speeds! The congressman was given the data about the Toyota Camry gas usage - presented in the table below. (Picture Attached.)
Note: MPG stands for miles per gallon of gas.
IDENTIFY THE INDEPENDENT VARIABLE FIR THIS DATA AND WHY.
Answers
The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.
How to explain the variablesThe dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.
The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.
The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.
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If triangle has a side 16.5 side 29 and side x What is value of x
Answers
The third side of the triangle 12.5
A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.
we the measurements of given two sides of the triangle 16.5 and 29
In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.
The sum of two sides rule
\(x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\\)
The difference between the two sides rule
\(29 - 16.5 < x \\ 12.5 < x\)
Therefore, the value of x is 12.5
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Leslie wants to build a 1,200 piece jigsaw puzzle. The completed puzzle will be in the shape of a rectangle that is 40 pieces in length by 30 pieces in width. Each piece is a square with an area of 0.25 in2. If Leslie wants to build the puzzle on a table that is at least 6 inches larger on all four sides than the complete puzzle, so that it makes a 6-inch border around the puzzle, what are the minimum dimensions of the table that she will need?
Answers
Answer:
If the area of each square piece is 0.25 in, that means that the dimensions must be 0.5 in by 0.5 in. Because the puzzle is 40 pieces by 30 pieces, that gives dimensions of 20 in by 15 in. Adding 6 inches on all four sides of the puzzle, we will have 32 in by 27 in for our minimum table dimensions.
Step-by-step explanation:
If the area of each square piece is 0.25 in, that means that the dimensions must be 0.5 in by 0.5 in. Because the puzzle is 40 pieces by 30 pieces, that gives dimensions of 20 in by 15 in. Adding 6 inches on all four sides of the puzzle, we will have 32 in by 27 in for our minimum table dimensions.
The function f(t)=16t2 represents the distance (in feet) a dropped object falls in t seconds. The function g(t)=s0 represents the initial height (in feet) of the object. A necklace is dropped from a height of 25 feet. After how many seconds does the necklace hit the ground.
Answers
Answer: 1.25 seconds.
Step-by-step explanation:
f(t) = (-16ft/s^2)*t^2 + g(t)
(i just wrote the units of the acceleration as ft per second squared, matching the gravitational acceleration in Earth)
this function will represent the height of a function that is dropped from an initial height g(t).
In this case, we have a necklace dropped from a height of 25 ft.
then g(t) = 25ft.
And the height equation will be:
f(t) = (-16ft/s^2)*t^2 + 25ft
The necklace will hit the ground hen f(t) = 0, then we can impose that and find the value of t.
f(t) = 0ft = (-16ft/s^2)*t^2 + 25ft
(16ft/s^2)*t^2 = 25ft
t = √(25ft/ (16ft/s^2)) = 1.25 s
Then the necklace will hit the ground after 1.25 seconds.
What is 64 minutes as mixed number? (i'm pretty sure it might be
\(1 \frac{?}{?} \)
but i don't know)
Answers
Answer:
1 1/15
Step-by-step explanation:
64 minutes is the same thing as 64/60 minutes.
64 goes into 60 once. 64-60=4, so that would be your numerator. You would keep the denominator as 60, since it's still out of 60.
If you put those numbers together your fraction would be
1 and 4/60, if you want to simplify, 60/4=15, so 1 and 1/15 would be your fraction.
Hope this helped!
PLEASE HELP IM GONNA FART HELP ME what is the prime exponent form of 192
Answers
Answer:
2^6 * 3
Step-by-step explanation:
Answer:
2^6x3
Step-by-step explanation:
its 2 to the power of 6. Then multiply it by 3
solve the PDE using separation of variables method Uxx = 1/2 Ut 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Answers
The general solution of the partial differential equation is:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
How to solve Partial Differential Equations?The partial differential equation (PDE) is given as:
Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Assume that the solution can be written as a product of two functions:
U(x, t) = X(x)T(t)
Substituting this into the PDE, we have:
X''(x)T(t) = (1/2)X(x)T'(t)
Dividing both sides by X(x)T(t), we get:
(X''(x))/X(x) = (1/2)(T'(t))/T(t)
Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:
(X''(x))/X(x) = -λ²
(1/2)(T'(t))/T(t) = -λ²
Simplifying the second equation, we have:
T'(t)/T(t) = -2λ²
Solving the second equation, we find:
T(t) = Ce^(-2λ²t)
Applying the boundary condition U(0, t) = 0, we have:
U(0, t) = X(0)T(t) = 0
Since T(t) ≠ 0, we must have X(0) = 0.
Applying the boundary condition U(3, t) = 0, we have:
U(3, t) = X(3)T(t) = 0
Again, since T(t) ≠ 0, we must have X(3) = 0.
Therefore, we can conclude that X(x) must satisfy the following boundary value problem:
X''(x)/X(x) = -λ²
X(0) = 0
X(3) = 0
The general solution to this ordinary differential equation is given by:
X(x) = Asin(λx) + Bcos(λx)
Applying the initial condition U(x, 0) = 5*sin(4πx), we have:
U(x, 0) = X(x)T(0) = X(x)C
Comparing this with the given initial condition, we can conclude that T(0) = C = 5.
Therefore, the complete solution for U(x, t) is given by:
U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)
where:
Σ represents the summation over all values of n
λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).
To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):
X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0
X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0
From the first equation, we have Bₙ = 0.
From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.
This implies that 3λₙ = nπ, where n is an integer.
Therefore, λₙ = (nπ)/3.
Substituting the eigenvalues into the general solution, we have:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
where Aₙ are the coefficients that can be determined from the initial condition.
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A dot plot displays data ______
using a small dot for each data piece.
A : Vertically
B: Graphically
C: Proportionally
Answers
help pleaseeeee i’ll give brainlist
Answers
Answer:
Step-by-step explanation:
Side splitter theorem: If three or more parallel lines are intersected by 2 or more transversals, then the parallel lines divide the transversals proportionally.
\(20) \dfrac{AB}{CB}=\dfrac{GF}{EF}\\\\\\21)\dfrac{AB}{BD}=\dfrac{GF}{FD}\\\\\\22)\dfrac{GF}{GE}=\dfrac{AB}{AC}\\\\\\23)\dfrac{CD}{AD}=\dfrac{ED}{GD}\)
why is 3 times 1/10 less then 3x10
Answers
Answer:
this is pretty self explanatory.... 1/10 is literally only one out of 10. the fraction to a decimal is 0.1 so, 3 x 0.1 is 0.3 and 3 x 10 is 30.
0.3 is less than 30.
Step-by-step explanation:
The risk-free rate is 8%, and the expected return on the market is 16%. As an analyst, you are preparing a recommendation report on the following stock:
Stock S
Beta 0.85
Expected dividend next year $1.10
Growth rate (g) 8%
Current Price (p0) $22
Using the SML, would you recommend to buy or sell the stock?
A) Sell, because the required rate is greater than the expected rate.
B) Sell, because the expected rate is greater than the required rate.
C) Buy, because the required rate is greater than the expected rate.
D) Buy, because the expected rate is greater than the required rate.
Answers
Correct Option is,
D) Buy, because the expected rate is greater than the required rate.
Now, Based on the information you've provided,
To calculate the required rate of return, we can use the SML formula as;
Required rate of return = risk-free rate + beta x (expected market return - risk-free rate)
Plugging in the numbers, we get:
Required rate of return = 8% + 0.85 x (16% - 8%)
= 14.6%
Since the expected rate of return for Stock S is,
= dividend yield + growth rate
= (1.1 / 22 + 8%),
= 9.4%
which is higher than the required rate of return of 14.6%,
Here, the stock is undervalued and would be a good buy.
Therefore, the answer is, option D) Buy, because the expected rate is greater than the required rate.
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4 cm
5 cm
What is the volume of the prism?
20 cm
36 cm3
47 cm
60 cm3
3 cm
Answers
To find the volume it’s v=lwh
Write the given expression as an algebraic expression in x. tan(2 sin^-1(x))
Answers
The trigonometric ratio tan(2 sin⁻¹(x)) is expressed as 2sec(x)
Trigonometric RatioThe six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.
In the question given, we have;
tan(2 sin⁻¹(x))
tan = sin / cos
sin/cos(2 * 1/sin x)
The expression becomes 2/cosx or 2cos⁻¹(x)
But cos⁻¹ = sec
tan(2 sin⁻¹(x)) = 2sec(x)
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2+2
Please help I’ve been try this all day long
Answers
Answer:
the answer is 4!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
LOL