Answer:
See Below
Step-by-step explanation:
To solve, set the equation equal to zero. Then move the six to the other side. Once this is done, you need to isolate the variable by dividing both sides by two.
2y + 6 = 0
- 6 -6
2y = - 6
2y/2 = -6/2
y = -3
Carmen buys 153 shares of cawh consolidated banks, each of which pays a constant yearly dividend of $7.14. after six years, how much has carmen received in dividends? a. $5,783.40 b. $1,820.70 c. $1,092.42 d. $6,554.52 please select the best answer from the choices provided a b c d
After 6 years Carmen has received $6,554.52 in dividends.
Given that Carmen buys 153 shares of cash consolidated banks each of which pays a constant yearly dividend of $7.14.
What is the constant yearly dividend?
The dividend policy in which the percentage of earnings paid in the form of dividends is held constant
The yearly dividend of $7.14 for Carmen buys 153 is given by
153 shares x $7.14 = $1,092.42
Therefore for has carmen received in dividends $1,092.42.
Therefore for 6 years, he received
$1,092.42 x 6 = $6,554.52
Therefore, after 6 years Carmen has received $6,554.52 in dividends.
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Sara earns a weekly salary of $400 plus commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $1200 worth of merchandise? Sara would earn $______ for that week.
Answer: Sara would earn $478 for that week
Step-by-step explanation:
1. Sara's weekly salaries is $400, and she gets 6.5% on sales at her work.
2. In order to find how much she would get from the commission of $1200 worth of merchandise they sold, we need to find the 6.5% of 1200
Step 1: Our output value is 1200.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above, 1200=100%.
Step 4: Similarly, x=6.5%.
Step 5: This results in a pair of simple equations:
1200=100%(1).
x=6.5%(2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both equations have the same unit (%); we have
\(\frac{1200}{x} = \frac{100}{6.5}\)
Step 7: Again, the reciprocal of both sides gives
\(\frac{x}{1200} =\frac{6.5}{100}\)
⇒\(x=78\)
Therefore, 6.5% of $1200 is $78
3. you would then need to add 400 + 78 and you get a total of $478
The urface area of a cylinder i 24π m². The ditance around the bae of the cylinder i 3π meter and the diameter of a bae of the cylinder i 4 meter. What i the height of the cylinder? Enter your anwer, a a implified fraction, in the box
After solving, the height of the cylinder is 6 meters.
The surface area of a cylinder is 24π m².
The distance around the base of the cylinder is 3π meter.
The diameter of a base of the cylinder is 4 meter.
Now the radius of the cylinder = diameter/2
The radius of the cylinder = 4/2
The radius of the cylinder = 2 meter.
The formula of surface area of cylinder:
S = 2πrh
From the question:
2πrh = 24π
Now putting the value of r
2π × 2 × h = 24π
4πh = 24π
Divide by 4π on both side, we get
h = 6
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The complete question is:
The surface area of a cylinder is 24π m². The distance around the base of the cylinder is 3π meter and the diameter of a base of the cylinder is 4 meter. What is the height of the cylinder? Enter your answer, in a simplified fraction, in the box.
Approximately how many times greater is 2.3 than 1.15 ?
Answer:
The answer is D. 20,000
Step-by-step explanation:
Hope this helps!!!
Sorry if I'm wrong
Show the calculating process by the restoring-division
algorithm for the following division case:
Divisor 00011
Dividend 1011
The quotient is 1111. The process continues until the result is less than the divisor.
To perform the division using the restoring-division algorithm with the given divisor and dividend, follow these steps:
Step 1: Initialize the dividend and divisor
Divisor: 00011
Dividend: 1011
Step 2: Append zeros to the dividend
Divisor: 00011
Dividend: 101100
Step 3: Determine the initial guess for the quotient
Since the first two bits of the dividend (10) are greater than the divisor (00), we can guess that the quotient bit is 1.
Step 4: Subtract the divisor from the dividend
101100 - 00011 = 101001
Step 5: Determine the next quotient bit
Since the first two bits of the result (1010) are still greater than the divisor (00011), we guess that the next quotient bit is 1.
Step 6: Subtract the divisor from the result
101001 - 00011 = 100110
Step 7: Repeat steps 5 and 6 until the result is less than the divisor
Since the first two bits of the new result (1001) are still greater than the divisor (00011), we guess that the next quotient bit is 1.
100110 - 00011 = 100011
Since the first two bits of the new result (1000) are still greater than the divisor (00011), we guess that the next quotient bit is 1.
100011 - 00011 = 100001
Since the first two bits of the new result (1000) are still greater than the divisor (00011), we guess that the next quotient bit is 1.
100001 - 00011 = 011111
Since the first two bits of the new result (0111) are less than the divisor (00011), we guess that the next quotient bit is 0.
011111 - 00000 = 011111
Step 8: Remove the extra zeros from the result
Result: 1111
Therefore, the quotient is 1111.
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make x the subject for
3x + y = xr + s
Answer:
x = \(\frac{s-y}{3-r}\)
Step-by-step explanation:
3x + y = xr + s
Subtract y from both sides:
3x + y = xr + s
3x + y - y = xr + s - y
3x = xr + s - y
Next, subtract xr from both sides:
3x - xr = xr + s - y - xr
3x - xr = s - y
Then, factor out x from the left-hand side:
x( 3 - r ) = s - y
Finally, divide both sides by (3 - r) to solve for x:
x( 3 - r ) = s - y
\(\frac{x (3 - r)}{3 - r} = \frac{s - y}{3 - r}\)
x = \(\frac{s-y}{3-r}\)
Use the properties of geometric series to find the sum of the series. For what values of the variable does the series converge to this sum?
7−14z+28z2−56z3+⋯
sum =
domain =
(Give your domain as an interval or comma separated list of intervals; for example, to enter the region x<−1 and 2
The sum of the series converges to 7 / (1 + 2z), and the domain for which it converges is -1/2 < z < 1/2.
To find the sum of the given geometric series\(7−14z+28z^2−56z^3+\)⋯, we need to first identify the first term (a) and the common ratio (r).
Step 1: Identify the first term (a)
The first term is 7.
Step 2: Identify the common ratio (r)
Observe the series and find the ratio between consecutive terms:
-14z / 7 = -2z
\(28z^2 / -14z = -2z\)
\(-56z^3 / 28z^2 = -2z\)
The common ratio is -2z.
Step 3: Determine the convergence of the series
A geometric series converges when the absolute value of the common ratio (|r|) is less than 1:
| -2z | < 1
To solve for the domain of z, we need to find the values for which this inequality holds:
-1 < -2z < 1
Divide all parts of the inequality by -2, and remember to reverse the inequality signs when dividing by a negative number:
1/2 > z > -1/2
Step 4: Find the sum of the converging series
For a converging geometric series, the sum can be calculated using the formula:
sum = a / (1 - r)
Plug in the values of a and r:
sum = 7 / (1 - (-2z))
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Cho hàm Bool 4 biến x, y, z, t với: f -1 (1) = {1010, 1110, 0110, 0010, 1011, 0111, 0011, 1001, 1101, 0001, 1000, 1100, 0100, 0000
Dirt being hauled by two trucks to a construction site is modeled by the expression xS+yRS+R. Truck 1 can haul x cubic yards and truck 2 can haul y cubic yards. Truck 1 makes S trips to the construction site, while truck 2 makes R trips. Which TWO statements are correct?
S + R represents the total trips done by these trucks.
What is volume?Volume is defined as the amount of space occupied by an object that is bound by a boundary. It must be noted that the volume is a mathematical term that is only applicable to 3D (three-dimensional) objects or spaces. As such, the units commonly used for volume are cubic units, that is, m3, cm3, in3, etc.
Two dump trucks hauling rock to a construction site is given by the expression. xS + yR
S +R
Truck 1 can haul x cubic yards
Truck 2 can haul y cubic yards.
Truck 1 makes P trips to the construction site, while truck 2 makes R trips.
Hence the trips made by truck 1 and truck 2 should be the addition of the trips made by the trucks individually.
So the total trips is represented by S + R
Therefore, S + R represents the total trips done by these trucks.
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What is the following product? Assume x > 0 and y > 0
Answer:
B: 10x^5yГ6xy
Step-by-step explanation:
pull terms out from under the radical, assuming positive real numbers.
Directions: Indicate product of FOIL for the problem:
(x-2)(x+2)Last
ty <33
Answer:
x^2 -4
Step-by-step explanation:
(x-2)(x+2)
We want to FOIL
First x*x = x^2
Outer x*2 =2x
Inner -2 *x = -2x
Last -2*2 = -4
Add them together
x^2+2x-2x-4
Combine like terms
x^2 -4
convert 20 lbs to kg
Rewrite in Slope Intercept Form
y=mx+b
3x + y = 4
Answer: -3x + 4
Step-by-step explanation:
To convert standard form:
3x + y = 4
to slope intercept form all we have to do is bring the x to the other side.
When we take the x to the other side we get
y = -3x + 4
Therefore when rewritten in slope-intercept form, the answer is:
y = -3x + 4
What should be the required return for a stock with a beta of 2.20 if the risk-free rate is 2% and the market risk premium is 6%? a. 10.80% b. 13.20% C. 14.39% d. 15.20%
The required return for a stock with a beta of 2.20, a risk-free rate of 2%, and a market risk premium of 6% is 14.39%. The correct option is c.
To calculate the required return, we can use the Capital Asset Pricing Model (CAPM), which relates the expected return of a stock to its beta, the risk-free rate, and the market risk premium. The formula for CAPM is as follows:
Required Return = Risk-Free Rate + (Beta × Market Risk Premium)
In this case, the risk-free rate is 2% and the market risk premium is 6%. The beta of the stock is given as 2.20. Plugging these values into the formula, we get:
Required Return = 2% + (2.20 × 6%) = 2% + 13.2% = 15.2%
Therefore, the correct answer is option C: 14.39%.
The CAPM is a widely used model in finance to estimate the required return on an investment. It takes into account the risk-free rate, which represents the return on a risk-free investment such as government bonds, and the market risk premium, which represents the additional return investors expect to receive for taking on the risk of investing in the overall market.
The beta of a stock measures its sensitivity to market movements, and multiplying it by the market risk premium gives us an estimate of the stock's additional required return. By summing this additional return with the risk-free rate, we obtain the required return for the stock.
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Twice the price of a book is $12 less than the price of 4 books. find the price of three books.
Answer:
$18
Step-by-step explanation:
One book=$6
Two books=$12
6(price of one book)x4(four books)=24
So then it says find it for three books
So then you do $6x3 books which is $18 :)
Lana had 475 Pokemon cards. She gave her little brother 125 of her cards. What percentage of her cards did Lana give away?
So, Lana gave away 26.32% of he Pokemon cards to her little brother.
To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.
In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:
(125 / 475) * 100 = 0.2632 * 100 = 26.32%.
Lana gave away 26.32% of her Pokemon cards to her little brother.
Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:
Percentage given away
= (Cards given away / Total cards) * 100
= (125 / 475) * 100
= 26.32%.
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Write an equation in point slope form for the line that has a slope of 2 and contains the point (8,8)
Answer:
y=2x-8
Step-by-step explanation:
y=mx+b
m=2
find b when y=8 and x=8
y=mx+b
8=2(8)+b
8-16=b
b=-8
the equation in y=2x-8
Solve for the variable in 6/18 = x/36
Answer:
x=28.67
Step-by-step explanation:
6 x
18 36
18x 516
18 18
x=28.67
Which graph shows the solution to the system of linear equations? y equals negative two thirds times x plus 1 y = −2x − 1 acoordinate grid with one line that passes through the points 0 comma 1 and 4 comma 0 and another line that passes through the points 0 comma negative 1 and 1 comma negative 3 a coordinate grid with one line that passes through the points 0 comma 1 and 3 comma 0 and another line that passes through the points 0 comma negative 3 and 1 comma negative 5 a coordinate grid with one line that passes through the points 0 comma 1 and 3 comma negative 1 and another line that passes through the points 0 comma negative 1 and 2 comma negative 5 a coordinate grid with one line that passes through the points 0 comma 1 and 4 comma negative 2 and another line that passes through the points 0 comma negative 2 and 1 comma negative 5
The graph is a coordinate grid with one line that passes through the points 0 comma 1 and 3 comma negative 1 and another line that passes through the points 0 comma negative 1 and 2 comma negative 5.
The system of linear equations is:
y = -2/3x + 1
y = -2x - 1
To determine which graph shows the solution to the system, we need to graph the two equations on the same coordinate grid and find their intersection point, which represents the solution to the system.
For the first equation, y = -2/3x + 1, the y-intercept is 1 and the slope is -2/3. We can use this to find one more point, say by setting x = 3:
y = -2/3(3) + 1 = -1
So one point on the line is (3, -1), and we can plot it on the coordinate grid.
For the second equation, y = -2x - 1, the y-intercept is -1 and the slope is -2. We can use this to find another point, say by setting x = 0:
y = -2(0) - 1 = -1
So another point on the line is (0, -1).
Thus, the answer is a coordinate grid with one line connecting points 0 comma 1 and 3 comma negative 1 and another line connecting points 0 comma negative 1 and 2 comma negative 5.
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According to the table above, what percent of patients with type-B blood are 50 years old or younger?
The percentage of patients with type-B blood that are 50 years old or younger is calculated as follows:
P = number of patients with type B blood that are 50 years or younger / number of patients with type B blood x 100%
How to calculate a percentage?Two parameters are used to calculate a percentage, as follows:
Number of desired outcomes a.Number of total outcomes b.The proportion is given by the number of desired outcomes divided by the number of total outcomes, while the percentage is the proportion multiplied by 100%.
Hence the rule is given as follows:
P = a/b x 100%.
Missing InformationThe problem is incomplete and the table could not be found on the internet, hence the general procedure to obtain the percentage is presented.
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Find 4 F(X) Dx 0 If F(X) = 2 If X ≪ 2 X If X ≥ 2.
Integral from 2 to 8 of 2 times f(2x) = 10 if f is a continuous function such that the integral from 1 to 4 of f of x, dx equals 10
What do you mean by integration?
By substituting other variables for the independent variable, the method of integration by substitution transforms any given integral into a simpler form.
According to the given question:
Since integral from 1 to 4 of f(x) =10
To evaluate integral from 2 to 8 of 2 times f(2x), using substitution method
Let U = 2x, dU = 2dx, dx = dU/2
Evaluate the limit, upper limit gives dU = 2*4 = 8, lower limit gives dU = 2*1 = 2.
Since this limit are the same as the limit for the question,
Therefore, F(4) - F(1) = F(8) - F(2) = 10
Substituting dx = dU/2
Gives,
Integral from 2 to 8 of 2 times f(2x)= (1/2)(2)(F(8)-F(2)) = 10
Complete question:
If f is a continuous function such that the integral from 1 to 4 of f of x, dx equals 10, evaluate the integral from 2 to 8 of 2 times f of 2 times x, dx.
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32x+80y = 1280
6x+ 20y=330
Solve system of equations
Answer:
y= -2/5x+16
y=-3/10x+33/2
A sample size that is one-fourth the original size causes the margin of error to quarter halve double quadruple remain unchanged
If a sample size is one-fourth the original size, the margin of error will be affected. Specifically, the margin of error will be affected inversely proportional to the square root of the sample size.
Halving the sample size (from the original) will cause the margin of error to increase by a factor of square root of 2, approximately 1.41.
Doubling the sample size (from the original) will cause the margin of error to decrease by a factor of square root of 2, approximately 0.71.
Quadrupling the sample size (from the original) will cause the margin of error to decrease by a factor of square root of 4, approximately 0.5.
Therefore, if the sample size is reduced to one-fourth the original size, the margin of error will be doubled, because the square root of 4 is 2. Conversely, if the sample size is increased fourfold, the margin of error will be halved, because the square root of 1/4 is 1/2.
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First Identify the Angle relationship, then solve for x.
Answer:
x=2
Step-by-step explanation:
46x-2=45x
+2 +2
46x=45x+2
-45x -45x
x=2
Answer:
I hope you can see the pic
Step-by-step explanation:
(46x - 2) and 45x are opposite angles. Opposite angles are equal to each other so, like terms will he collected and then x is gotten as +2.
the discriminant of a function is -63, state the number and type of solutions:
Answer:
Two imaginary solutions-----------------------
Number of solutions depending on the value of the discriminant:
D > 0, two real solutions;D = 0, one real solution;D < 0, two imaginary solutions.Since we have d = - 63 < 0, the equation has two imaginary solutions.
Which number does not belong in the same set as the other four?
A. |-3/4|
B. 75%
C. 0.75
D. 75.0
E. 6/8
Answer:
D
Step-by-step explanation:
Let's find the decimal-value of each answer choice.
A:
\(|-3/4|\) \(3/4\) \(0.75\)B:
75 percent = 75/100\(75/100 = 0.75\)C:
\(0.75\)D:
\(75.0\)E:
\(\frac{6}{8}\) \(\frac{3}{4}\) \(0.75\)As you can see, the only number that differs from the others is 75, which is option D, therefore making it the correct answer.
set up the integral that uses the method of disks/washers to find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified lines.y=x2/3+3,y=3,x=6
About the line y=16.
\(\pi \int\limits^6_0 {\frac{26}{3} } \, x^{2} -\frac{1}{9} x^{4} dx\) is the integral that uses the method of disks/washers to find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified lines.
A method for determining the volume of a solid of revolution of a solid-state material while integrating along an axis "parallel" to the axis of revolution is known as disc integration, also known as the disc method in integral calculus.
This technique stacks an endless number of discs with varied radii and minuscule thickness to produce the final three-dimensional form. To create hollow solids of revolutions, the same ideas may also be applied when using rings in place of discs (this is known as the "washer technique").
As opposed to this, shell integration integrates along an axis that is parallel to the axis of revolution. The solution can be seen in the attached images below.
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someone help me fast
it’s algebra can u helpppp lolsss
Answer:
6z - 6
Step-by-step explanation:
When you expand you are removing brackets. This means you multiply the outer number by the ones inside thus:
2(3z-3)
2 times 3z is 6z .
2 times 3 is 6.
So the answer is 6z - 6.
HOPE THIS HELPED
Hi pls help me my teacher is currently yelling Lol
Answer:
Dear bro not to use this brainly is app that's why do not search answer on brainly do yourself cause you are the better one