Answer:
\(\frac{7}{30}\)
OR...
0.233333333
Step-by-step explanation:
Least common multiple of 10 and 15 is 30. Convert \(\frac{1}{10}\) and \(\frac{2}{15}\) to fractions with denominator 30.
\(\frac{3}{30} +\frac{4}{30}\)
Since \(\frac{3}{30}\) and \(\frac{4}{30}\) have the same denominator, add them by adding their numerators.
\(\frac{3+4}{30}\)
Add 3 and 4 to get 7.
\(\frac{7}{30}\)
Michelle Can swim 4 laps in 6 minutes and 12 seconds.If michelle Swims at The same pace,how long would it take her to swim 10 laps
Y = 4x Solve for Y. when X=6
Answer:
y= 24
Step-by-step explanation:
y= 4x
when x = 6,
y = 4×6
y= 24
5. The capital asset pricing model Sean holds a portfolio that is invested equally in three stocks. An analyst has used market- and firm-specific information to make expected return estimates for each stock, Each stock is described in the following table: The risk-free rate,Rf, is 6 percent and the market return,Rmis 10 percent. The line given on the following graph represents the security market line (SML.), which is derived from the CAPM equation: Rj =Rf+Bj+(Rm-Rf) Use the following graph with the security market line to plot each stock's beta and expected return, (Note: Click the points on the graph to see their coordinates.) Sometimes investors have different opinions about a stock's prospects and may think that a stock is either undervalued or overvalued. Determine the required rate of retum for each stock, and then use the analyst's expected retum estimates to determine whether he thinks evch stock in Sean's portfolio is undervalued, overvalued, or fairly valued.
Required rate of retum for each stock is:
Stock A: Rj = 6% + 0.5 x (10% - 6%) = 8%Stock B: Rj = 6% + 1.0 x (10% - 6%) = 10%Stock C: Rj = 6% + 1.5 x (10% - 6%) = 12%Based on the CAPM and the analyst's expected return estimates, Stock A is overvalued, Stock B is fairly valued, and Stock C is undervalued.
How to determine the required rate of return for each stock.?
The CAPM equation is Rj = Rf + Bj x (Rm - Rf), where Rj is the required rate of return for the stock, Rf is the risk-free rate, Bj is the beta of the stock, and Rm is the market return.
Using the graph provided, we can see that Stock A has a beta of 0.5, Stock B has a beta of 1.0, and Stock C has a beta of 1.5. Given that the risk-free rate is 6% and the market return is 10%, we can calculate the required rate of return for each stock:
Next, we can compare the analyst's expected return estimates for each stock to their required rate of return to determine if they are undervalued, overvalued, or fairly valued. If the expected return is higher than the required rate of return, the stock is undervalued and may be a good investment.
If the expected return is lower than the required rate of return, the stock is overvalued and may not be a good investment. If the expected return is equal to the required rate of return, the stock is fairly valued.
For Stock A, the analyst expects a return of 7%, which is lower than the required rate of return of 8%. Therefore, Stock A is overvalued.
For Stock B, the analyst expects a return of 10%, which is equal to the required rate of return of 10%. Therefore, Stock B is fairly valued.
For Stock C, the analyst expects a return of 13%, which is higher than the required rate of return of 12%. Therefore, Stock C is undervalued.
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which one is the 25th island of Greece?
1. amorgos
2. sus island
3. the hair of dog
Answer:
obviously sus island
Step-by-step explanation:
A diver is at 20m below sea level, write his depth as a directed number
Answer:
it has to be negative because it's below sea level so it's -20
The top of the cylindrical can shown below has a diameter of 7 centimeters (cm)
What is the circumference, in centimeters, of the top of the can? Round your answer to the nearest hundredth of a centimeter. Use 3.14 for pi
A: 10.99
B: 21.99
C: 38.47
D: 43.96
Answer:
B: 21.99
Step-by-step explanation:
recall that for a circle, circumference is given by:
circumference = 2π x radius
= π x diameter
we are given taht the diameter is 7 cm and π = 3.14
simply substitute these values into the formula for circumference:
circumference
= π x diameter
= 3.14 x 7
= 21.98
(the closest answer to this is B: 21.99)
the product of the square of x and y
Answer: (xy) squared
the length and width of a rectangle are measured as 52 cm and 35 cm, respectively, with an error in measurement of at most 0.1 cm in each. use differentials to estimate the maximum error in the calculated area of the rectangle.
The maximum error in the calculated area of the rectangle is approximately 8.7 square centimeters.
To estimate the maximum error in the calculated area of the rectangle, we can use differentials. The formula for the area of a rectangle is A = length * width.
Given:
Length (L) = 52 cm (with a maximum error of 0.1 cm)
Width (W) = 35 cm (with a maximum error of 0.1 cm)
We want to find the maximum error in the calculated area (dA) when the length and width have a maximum error of 0.1 cm.
Using differentials, we have:
dA = (∂A/∂L) * dL + (∂A/∂W) * dW
Let's calculate the partial derivatives (∂A/∂L) and (∂A/∂W):
∂A/∂L = W (since the width is constant when differentiating with respect to L)
∂A/∂W = L (since the length is constant when differentiating with respect to W)
Substituting the values:
∂A/∂L = 35 cm
∂A/∂W = 52 cm
Now we can calculate the maximum error in the calculated area (dA) using the given maximum errors in length (dL) and width (dW):
dA = (35 cm * 0.1 cm) + (52 cm * 0.1 cm)
dA = 3.5 cm + 5.2 cm
dA = 8.7 cm
Therefore, the maximum error in the calculated area of the rectangle is approximately 8.7 square centimeters.
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a closed cylindrical can is to hold 1000 cubic cm. of liquid. what should be the height and radius of the can to minimize the total surface area.
The height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm
The volume of the cylinder can = 1000 cubic cm
Consider the height of the cylinder as h and the radius of the base is r
Volume of the cylinder = π\(r^2\)h = 1000
h = 1000 / π\(r^2\)
The surface area of the cylinder
A = 2π\(r^2\) + 2πrh
A = 2π\(r^2\) + 2πr(1000 / π\(r^2\) )
A = 2π ( \(r^2\) + 1000 / π\(r^2\))
Differentiate the terms
A' = 2π (2r + 1000 / π\(r^3\))
When the minimum surface area
2π (2r + 1000 / π\(r^3\)) = 0
r = \((1000/2\pi )^\frac{1}{3}\)
r = 5.41 cm
Then,
h = 1000 / π\(r^2\)
= 1000 / (π × 5.41 × 5.41)
= 1000 / 91.94
= 10.87 cm
Hence, the height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm
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(3х + 4) - (х + 2) =
The answer to (3x + 4) - (x + 2) is
2(x + 3).
(3x + 4) - (x + 2) = 2(x+3)
Answer:
2x + 2 is the answer.....
Which of the following functions matches this graph?
Answer:
a. y=x^2
Step-by-step explanation:
desmos graphing calculator
20.
Building on the Essential Question How does place value help
you add decimals? Show an example.
338 Chapter 5 Add and Subtract Decimals
The fractional part of the integer is represented by the place value after the decimal. The number 0.56, for example, is made up of 5 tenths and 6 hundredths.
This can also be written as 0.56 = 0.5 + 0.06. In other words, it means, 0.56 = 5/10 + 6/100.
To add decimals, align the decimal points such that all the digits are aligned according to their place values. Add like you would full numbers, starting on the right and working your way to the left. In the sum, align the decimal point with the decimal points in the values being added.
Decimals are one of the forms of numbers in Algebra that have a whole integer and a fractional part separated by a decimal point. The decimal point is the dot that appears between the full number and the fractions section. 34.5, for example, is a decimal number.
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fill in the space to complete to equality:
3v-v²=v(__)
Answer:
3v-v² = v(3-v)
Step-by-step explanation:
Use distributive property on the right side of the equality.
Original Price
Percent of Discount
Sale Price
$60
%
$45
Answer:
25%
Step-by-step explanation:
60*0.25=15
60-15=45
being specific,name 3 ways that a parabola changes with different types of "a" values
The parabola widens when an is between 0 and 1, narrows when an is greater than 1, and is mirrored across the x-axis when an is less than 0.
What three ways do various types of values affect a parabola?Give three particular examples of how a parabola can change depending on the type of "a" value. y= 2(x+1)? Stretch y= as E parabola descends. (x-2)Parabola reduces by 2+1, y = x2-1. E opens up with no alteration. 7.
Here, the curve turns 180 degrees when an is negative.
The parabola opens broader when |a| is less than 1.
The parabola expands more narrowly when |a| exceeds 1.
The parabola widens when an is between 0 and 1, narrows when an is greater than 1, and is mirrored across the x-axis when an is less than 0.
Therefore, the curve widens when an is between 0 and 1.
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Mohammed is trying to find angle h. He finds angle g first and then he finds angle h from angle g.
a) Which angle fact does he use to find angle g
b) which angle fact does he then use to find angle h
a. The angle fact that Mohammed can use to find angle g is alternate angles
b) The angle fact that he then use to find angle h is alternate interior angles.
What is an alternate angle?When two parallel lines are cut by a transversal, the resulting alternate interior angles or alternate exterior angles are congruent, according to the alternate angle theorem. To demonstrate: If a transversal cuts two parallel lines, the alternate interior angles are equal.
When two parallel lines are intersected by a transversal, the angles formed inside them are equal to their alternate pairs. These are known as alternate interior angles.
In this case, it should be noted that the angles will be 137° based on the illustration.
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What is the prime factorization of 47
Answer:
so the prime factorization of 47 is 1×47
Simplify: - 5 + 2(8 - 12)
Answer:
-13
Step-by-step explanation:
-5 + 2( 8 - 12 )
Distribute;
-5 + 2 ( 8 - 12 )
-5 + 16 - 24
Simplify;
-5 + 16 - 24
11 - 24
-13
Answer:
-13
Step-by-step explanation:
Follow the Order of Operations:
1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction
Parentheses:
-5+2(-4)
Exponents:
There is no exponents so we can skip that step
Multiplication and Division:
-5-8
Addition and Subtraction:
-13
Hope this helps! Have a safe and wonderful Thanksgiving!
\(5 \alpha { }^{0} + (5 \alpha ) {}^{0} \)
what is the answer to the equation ?
The value of \(\alpha ^0 = (5\alpha ^0) =1\), as anything raised to the power of 0 is equal to 1. Hence, the answer to the equation \(5\alpha ^0 + (5\alpha ^0)\) is 6.
What are exponents and its laws?The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
Law of Multiplication: Exponents should be added while keeping the base constant when multiplying like bases.
Exponents should be multiplied while bases are kept constant when bases are raised by a power of two or more.
Division Rule: When dividing like bases, maintain the base constant and deduct the exponent of the denominator from the exponent of the numerator.
The value of \(\alpha ^0 = (5\alpha ^0) =1\), as anything raised to the power of 0 is equal to 1.
Substituting the value of \(\alpha ^0 =(5\alpha ^0) = 1\) in the given equation we have:
5(1) + 1 = 6
Hence, the answer to the equation \(5\alpha ^0 + (5\alpha ^0)\) is 6.
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Hi guys can you answer my math questions and teach me how to do
Answer:
1) 8 4/5 4) 6 2/6
2) 8 3/4 5) 7 2/5
3) 10 1/ 3 6) 9 2/6
Step-by-step explanation:
Here is one sampel to understand how to do it
\( 44 \div 5 \\ \frac{44}{5} \\ 8 \frac{4}{5} \)
_________________________________________
\(35 \div 4 \\ \frac{35}{4} \\ 8 \frac{3}{4} \)
_________________________________________
\(31 \div 3 \\ \frac{31}{3} \\ 10 \frac{1}{3} \)
_________________________________________
\(38 \div 6 \\ \frac{38}{6} \\ 6 \frac{2 }{6} \)
_________________________________________
\( 37 \div 5 \\ \frac{37}{5} \\ 7 \frac{2}{5} \)
_________________________________________
\( 56 \div 6 \\ \frac{56}{6} \\ 9 \frac{2}{6} \)
need help with math problem if do 5 stars
Answer:
Step-by-step explanation:
0.7, 0.71, 0.72, 0.73, 0.74, 0.75, 0.76, 0.77, 0.78, 0.79, 0.8
Hope this helps!
The table below shows the amount of flour needed for each recipe. Sort the list below from
greatest to least amount of flour needed per serving.
Cups of Flour
Serving Size
Recipe A
1
Recipe B
Recipe C
를
Recipe D
1 2 3 를
Recipe A, Recipe B, Recipe C, Recipe D
Answer:
d,c,b,a
Step-by-step explanation:
Which of the following shows the correct first step to solve x^2-18x=-45
A x^2 - 18x + 18= -45 + 18
B. x^2 - 18x + 9 = -45 + 18
C. x^2 -18x + 81 = -45
D. X^2 -18 + 81 = -45 + 81
Answer:
D, X^2 -18 + 81 = -45 + 81
Step-by-step explanation:
it is complating squer method that used for solving x in a quadratic equetion . in this step you will add
(y/2)^2 if y is the cofitient of x .
5. Show that the following points are collinear. a) (1, 2), (4, 5), (8,9)
Label the points A,B,C
A = (1,2)B = (4,5)C = (8,9)Let's find the distance from A to B, aka find the length of segment AB.
We use the distance formula.
\(A = (x_1,y_1) = (1,2) \text{ and } B = (x_2, y_2) = (4,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(1-4)^2 + (2-5)^2}\\\\d = \sqrt{(-3)^2 + (-3)^2}\\\\d = \sqrt{9 + 9}\\\\d = \sqrt{18}\\\\d = \sqrt{9*2}\\\\d = \sqrt{9}*\sqrt{2}\\\\d = 3\sqrt{2}\\\\\)
Segment AB is exactly \(3\sqrt{2}\) units long.
Now let's find the distance from B to C
\(B = (x_1,y_1) = (4,5) \text{ and } C = (x_2, y_2) = (8,9)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(4-8)^2 + (5-9)^2}\\\\d = \sqrt{(-4)^2 + (-4)^2}\\\\d = \sqrt{16 + 16}\\\\d = \sqrt{32}\\\\d = \sqrt{16*2}\\\\d = \sqrt{16}*\sqrt{2}\\\\d = 4\sqrt{2}\\\\\)
Segment BC is exactly \(4\sqrt{2}\) units long.
Adding these segments gives
\(AB+BC = 3\sqrt{2}+4\sqrt{2} = 7\sqrt{2}\)
----------------------
Now if A,B,C are collinear then AB+BC should get the length of AC.
AB+BC = AC
Let's calculate the distance from A to C
\(A = (x_1,y_1) = (1,2) \text{ and } C = (x_2, y_2) = (8,9)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(1-8)^2 + (2-9)^2}\\\\d = \sqrt{(-7)^2 + (-7)^2}\\\\d = \sqrt{49 + 49}\\\\d = \sqrt{98}\\\\d = \sqrt{49*2}\\\\d = \sqrt{49}*\sqrt{2}\\\\d = 7\sqrt{2}\\\\\)
AC is exactly \(7\sqrt{2}\) units long.
Therefore, we've shown that AB+BC = AC is a true equation.
This proves that A,B,C are collinear.
For more information, check out the segment addition postulate.
GCF (96,144).............................
Answer:
The LCM of 96 and 144 is 288.
Step-by-step explanation:
Please give the brainliest, really appreciated.
change 1,314,000 minutes into years
Answer:
the change of 1million 314thousand is 2.5 years
A test is conducted to compare elastic modulus of the hardened concrete paste (in Gigapascal: GPa) manufactured by two companies. Summary data are given below.
Company A:GPa,GPa
Company B:GPa,GPa
Find the lower bound of a 90% confidence interval for the difference of means (round off to first decimal place).
A test is conducted to compare elastic modulus of the hardened concrete paste (in Gigapascal: GPa) manufactured by two companies. Summary data are given below.
Company A:GPa,GPa
Company B:GPa,GPa
Find the upper bound of a 90% confidence interval for the difference of means (round off to first decimal place).
To find the lower bound of a 90% confidence interval for the difference of means, we can use the following formula:
Lower bound = (mean of Company A - mean of Company B) - (critical value * standard error)
Since the summary data for the two companies is not provided, I'm unable to calculate the actual values. However, I can guide you through the general steps to calculate the lower bound.
1. Calculate the mean of Company A.
2. Calculate the mean of Company B.
3. Calculate the standard deviation of Company A.
4. Calculate the standard deviation of Company B.
5. Calculate the standard error using the following formula:
Standard error = sqrt((variance of Company A / sample size of Company A) + (variance of Company B / sample size of Company B))
6. Determine the critical value for a 90% confidence interval. This value depends on the sample size and the desired level of confidence. You can use a t-distribution table or a statistical software to find the critical value.
7. Substitute the values into the formula and calculate the lower bound.
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he number of hours a student spent studying each week for 9 weeks is shown.
5, 9.5, 3, 12, 6, 8, 4.5, 10, 6.5
What is the value of the range for this set of data?
3
6.5
9
12
The range of the data is R = 9
Given data ,
Let the range of the data be R
Now , the value of R is R = maximum value - minimum value
Let the data be A = { 5, 9.5, 3, 12, 6, 8, 4.5, 10, 6.5 }
The range of a set of data, we need to subtract the minimum value from the maximum value.
The minimum value in this set of data is 3 (which occurs in the third week), and the maximum value is 12 (which occurs in the fourth week).
Therefore, the range is:
range = maximum value - minimum value = 12 - 3 = 9
Hence , the value of the range for this set of data is 9
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Find a in degrees.
6
10
a
α
= [ ? ]°
=
Round to the nearest hundredth.
160 bc the real answer is 16 but rounded to nearest 100 that's it
Imagine you bought 100 shares of stock three years ago and are selling it today. Select a company and research its stock prices. You can start with websites like Nasdaq and Fidelity. Determine the stock's price three years ago, or the purchase price, and its price today, or the selling price.
Part Two–Determine the Real Return
Calculate the real return of your stock investment using the following information:
Purchase price of 100 shares of stock
Selling price of 100 shares of stock
10% tax rate
3% inflation rate
2% administrative fee on the selling price of the stock
Part Three–Evaluate
Analyze your research and calculations, and answer the following questions:
What company did you select to buy stock in? Why did you select the company?
Consider the real return of the stock investment. Do you consider it a wise investment? Why or why not?
1. I imagine buying 100 shares of Amazon.com Inc. on January 3, 2020, when the stock price was $93.75, investing $9,375.
Today, October 31, 2022, the stock price of Amazon.com Inc. is $102.44.
2. The real return on my investment in Amazon.com Inc was a net loss of 7.12% or $667.60.
3. The company I selected to buy its stock three years ago was Amazon.com Inc.
4. I decided on Amazon.com Inc., hoping to earn spectacular returns since it is a multinational technology company.
5. When I consider the actual return on the stock investment in Amazon.com Inc., I think it was an unwise investment.
6. The investment returned a negative real value because I realized less than I initially invested; I actually lost about $667.60 overall.
What is the stock investment?Stock investment is the purchase of shares for an ownership interest in a publicly-listed company.
The investor makes the investment with the hope that the investee will grow and perform well over some period, enabling the investor to earn some real returns (in the form of dividends and capital appreciation).
Purchase of 100 shares Jan. 3, 2020 = $9,375 (100 x $93.75)
Sales of 100 shares Oct. 31, 2022 = $10,244 (100 x $102.44)
Tax (10%) = $1,024.40 ($10,244 x 10%)
Inflation (3%) = $307.32 ($10,244 x 3%)
Administration fee on sales (2%) = $204.88 ($10,244 x 2%)
Real Returns in dollars = $8,707.40 ($10,244 - $1,024.40 - $307.32 - $204.88)
Loss on returns = $667.60 ($8,707.40 - $9,375)
Loss percentage = 7.12% ($667.60/$9,375 x 100)
Unfortunately, Amazon.com Inc. did not pay any dividends during the period of my investment, and I really lost funds to taxes, inflation, and administration fees when I sold it.
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