To calculate the holding-period return, add the dividend, selling price, and initial investment, then divide by the initial investment. In this case, the holding-period return is 12.5%.
Holding-Period Return Calculation:
Initial investment: $30
Dividend received: $1.50
Selling price: $32.25
Holding-Period Return = (Dividends + Selling Price - Initial Investment) / Initial Investment
Substitute the values: ($1.50 + $32.25 - $30) / $30 = $3.75 / $30 = 0.125 or 12.5%
Translate into an algebraic expression. Use x and y for any variables.
The sum of four times a number plus four times another number.
In the equation x + 2y = -3, the x-intercept is -3 and the y-intercept is -1.5. please show with a graph
Answer:
Graph B
Step-by-step explanation:
The pink line going downward to the right.
Answer:
Graph B
Step-by-step explanation:
The pink line going downward to the right.
Daniel is using match sticks to do a square an a triangle. he uses 41 match sticks to do 12 figuring altogether .how many square did he made
What is the volume of a cylinder with a diameter of 28 units and a height of 28 units?
To calculate the volume of a cylinder with a diameter of 28 units and a height of 28 units, use the formula V = πr²h. The calculated volume is approximately 17240.896 cubic units.
To find the volume of a cylinder, we use the formula:
V = πr²h
Here, the diameter of the cylinder is 28 units. To find the radius, we divide the diameter by 2:
r = 28 / 2 = 14 units
The height of the cylinder is given as 28 units. Substituting the values into the formula, we get:
V = π × (14)² × 28
V = π × 196 × 28
V = 5488π
Using the approximation π ≈ 3.142,
V ≈ 5488 × 3.142 ≈ 17240.896 cubic units
Therefore, the volume of the cylinder is approximately 17240.896 cubic units.
which equation is in slope-intercept form and represents a line with slope 3 through the point (9,-4)
Slope-intercept form is y = mx +b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the line. Since we weren't given the y-intercept, one way to solve this problem is substitute the slope for the variable m and then the x and y values from the ordered pair to solve for b.
y = mx + b
y = 3x + b
-4 = 3(9) + b
Now, we can simplify by computing the multiplication on the right side of the equation.
-4 = 27 + b
Finally, we can find the value for b by subtracting 27 from both sides of the equation to get:
-31 = b
Now, we should substitute this value for b back into our equation with the slope.
y = 3x - 31
Therefore, your answer is y = 3x - 31.
Hope this helps!
Answer:
The correct answer would be y = 3x - 31
Step-by-step explanation:
In order to find the answer to this question, we must use point-slope from, which is listed below.
y - y1 = m(x - x1)
Now we input the ordered pair in for x1 and y1 and the slope in for m.
y - -4 = 3(x - 9)
Then we solve for y.
y + 4 = 3x - 27
y = 3x - 31
Emily traveled uphill to the hardware store for 60 minutes at just 6mph she then traveled back home the same path downhill at a speed of 12 mph what is her average speed for the entire trip
A jar holds 2 3/4 cups of water. How much is this in fluid ounces
Use the word bank, and Complete the chart. You may use the same word more than once. APEX
Complete the chart:
Dimension What Can Be Measured Example Object
Zero Nothing Point
One Length Line
Two Length, Width Polygon
Three Length, Width, Height Solid
Zero Dimensions:
What Can Be Measured: Nothing. Zero dimensions imply a mathematical point without any length, width, or height.
Example Object: Point. A point in geometry is a location represented by a dot and has no size or dimensions.
One Dimension:
What Can Be Measured: Length. In one dimension, objects have only length and can be measured in a straight line.
Example Object: Line. A line is a straight path that extends infinitely in both directions. It is characterized by its length.
Two Dimensions:
What Can Be Measured: Length, Width. Two-dimensional objects have both length and width. They are flat and can be measured in both directions.
Example Object: Polygon (e.g., Square). A polygon is a closed two-dimensional shape with straight sides, and a square is an example with equal length and width.
Three Dimensions:
What Can Be Measured: Length, Width, Height. Three-dimensional objects have length, width, and height. They are solids and occupy space.
Example Object: Solid (e.g., Cube). A cube is a three-dimensional shape with equal length, width, and height. It represents a solid object.
For such more question on Dimensions
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What value for s makes this equation true?
(6x10)+(6xs)=6x17
HELP ASAP
The base is 34 ya and it’s height is 20.5. What is the area
Chiara has 26 coins that equal 34 cents. All the coins are pennies, p, and nickels, n. How many nickels and pennies does Chiara have? Use the table to guess and check.
Answer:
Chiara has 2 penny coins and 24 nickel coins
Step-by-step explanation:
Let
p ----> the number of penny coins
n ---> the number of nickel coins
Remember that
[tex]1\ penny=\$0.01[/tex]
[tex]1\ nickel=\$0.05[/tex]
Chiara has 26 coins that equal 34 cents
so
[tex]p+n=26[/tex]
isolate the variable x
[tex]p=26-n[/tex] ----> equation A
34 cents=$0.34
[tex]0.01p+0.05n=0.34[/tex]
Multiply by 100 both sides
[tex]p+5n=34[/tex]
isolate the variable x
[tex]p=34-5n[/tex] -----> equation B
Create a table to guess
assume different values of n and determine the value of p in equation A and equation B
The solution is when the value of p in the equation A must be equal to the value of p in equation B
1) For n=1
equation A
[tex]p=26-1=25[/tex]
equation B
[tex]p=34-5(1)=29[/tex]
[tex]29\neq 25[/tex]
2) For n=2
equation A
[tex]p=26-2=24[/tex]
equation B
[tex]p=34-5(2)=24\\24=24[/tex]
therefore
The solution is (2,24)
Chiara has 2 penny coins and 24 nickel coins
Answer:
Step-by-step explanation:
Sorry I'm late but the other person is wrong this is the answer
A rectangle has a length of x inches and a width of 10 inches. Write an equation to represent the perimeter of the rectangle.
What is the distance to the earth’s horizon from point P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Answer:
284.4
Step-by-step explanation:
Given is a picture of a circle as earth and radius = 3959 mi.
THe horizon is the tangent with length unknown x
The hypotenuse of the right triangle is 3959+10.2 = 3969.2 mi.
Hence we get
x using Pythagorean theorem
[tex]x^2+3959^2=3969.2^2\\x^2= 10.2(7928.2)\\x=284.37[/tex]
Round off to nearest 10th
Since ii digit after decimal is 7 >5 we add 1 to the digit after decimal
Answer is 284.4
Lucy created a design with different shapes. Stars made up 1/4 of all the shapes in the design. Eight ninths of the stars are red. What fraction of all the shapes are red stars?
Final answer:
To find out what fraction of all shapes are red stars in Lucy's design, multiply the fraction of stars (1/4) by the fraction of red stars among them (8/9) to get 2/9 of all shapes being red stars.
Explanation:
The question asks us to determine what fraction of all the shapes in Lucy's design are red stars. To solve this, we need to multiply the fraction of shapes that are stars by the fraction of those stars that are red. Lucy has stars that make up 1/4 of all shapes, and 8/9 of these stars are red. By multiplying these two fractions, we can find the fraction of all the shapes that are red stars.
Here is the step-by-step calculation:
Multiply the fractions: (1/4) × (8/9) = 8/36.
Simplify the fraction: 8/36 can be simplified by dividing both the numerator and the denominator by the greatest common factor, which is 4. So, (8 ÷ 4)/(36 ÷ 4) = 2/9.
Therefore, 2/9 of all the shapes in Lucy's design are red stars.
A tire rim has a diameter of 15 in. What is the circumference of the tire rim? Use 3.14 for pi
Identify any solutions to the system shown here. 2x+3y > 6 3x+2y < 6
The points that satisfy both inequalities are:
B) (0.5, 2)
D) (−2, 4)
To identify which points are solutions to the system of inequalities:
2x + 3y > 6
3x + 2y < 6
We need to check each point to see if it satisfies both inequalities.
2(1.5) + 3(1) = 3 + 3 = 6 - Not a solution
3(1.5) + 2(1) = 4.5 + 2 = 6.5 Not a solution
2(0.5) + 3(2) = 1 + 6 = 7 This a solution
3(0.5) + 2(2) = 1.5 + 4 = 5.5 - This a solution
2(-1) + 3(2.5) = -2 + 7.5 = 5.5 - Not a solution
3(-1) + 2(2.5) = -3 + 5 = 2 - Not a solution
2(-2) + 3(4) = -4 + 12 = 8 - This a solution
3(-2) + 2(4) = -6 + 8 = 2- This a solution
Complete question
Identify any solutions to the system shown here.
2x+3y>6
3x+2y<6
A) (1.5,1)
B) (0.5,2)
C) (−1,2.5)
D) (−2,4)
Sally is making sun tea. Every hour, the concentration of the tea doubles. If it takes 6 hours for the tea to be ready, how long would it take for the tea to reach half of the final concentration (in hours)?
Tea reaches half concentration after 5 hours; at 4 hours, it's a quarter.
To solve this problem, we can use the fact that the cable between the towers forms a parabolic shape. Since the cable touches the sides of the road midway between the towers, the cable forms a parabola with its vertex at the midpoint between the towers and its axis of symmetry being parallel to the road.
Let's denote the midpoint between the towers as the origin (0, 0). Then, the vertex of the parabola is at (640, 160) since the towers are 1280 meters apart and rise 160 meters above the road.
The general equation of a parabola in vertex form is:
[tex]\[ y = a(x - h)^2 + k \][/tex]
Where:
- (h, k) is the vertex of the parabola.
- ( a ) determines the "width" of the parabola.
Since the parabola is symmetric, we know that it opens either upwards or downwards. Given the geometry of the situation (the cable hanging between the towers), we know it opens downwards. Therefore, ( a ) will be negative.
To find the equation of the parabola, we need to find the value of ( a ). We can use the point (640, 0). which is the midpoint between the towers.
Let's plug in the values:
[tex]\[ 0 = a(640 - 640)^2 + 160 \]\[ 0 = 160a \][/tex]
From this, we find that ( a = 0 ).
This indicates that the parabola is a horizontal line, which is not the shape of a cable between the towers. We made an error. The equation of a parabola is [tex]\( y = a(x - h)^2 + k \),[/tex] but for this problem, we should use the equation of a downward-opening parabola, which is [tex]\( y = ax^2 + bx + c \).[/tex]
Let's correct the approach and use the new equation to solve the problem. We'll find the coefficients [tex]\( a \), \( b \), and \( c \)[/tex] using the given information. Once we have the equation of the parabola, we can find the height of the cable at a distance of 200 meters from a tower. Let's do it step by step.
Please please help. I have a bunch of these and I don’t understand it at all
Verify that the divergence theorem is true for the vector field f on the region
e. give the flux. f(x, y, z) = 4xi + xyj + 4xzk, e is the cube bounded by the planes x = 0, x = 2, y = 0, y = 2, z = 0, and z = 2.
Final answer:
To verify the divergence theorem for the given vector field and region e, we need to calculate the flux through each face of the cube and sum them up. By calculating the flux through each face and summing them, we can verify that the flux of the vector field through the region e is 0.
Explanation:
The divergence theorem states that the flux of a vector field through a closed surface is equal to the volume integral of the divergence of the vector field over the volume enclosed by the surface.
In this case, the vector field is given by f(x, y, z) = 4xi + xyj + 4xzk. The region e is a cube bounded by the planes x = 0, x = 2, y = 0, y = 2, z = 0, and z = 2.
To verify the divergence theorem, we need to calculate the flux of the vector field through each face of the cube and sum them up.
Let's go step by step to calculate the flux through each face:
Flux through the x = 0 plane: The unit normal vector of this plane is -i. The flux through this plane is given by the surface integral of f dot dS, where dS is the area element of the plane. Since f(x, y, z) = 4xi + xyj + 4xzk, the dot product is -4x. The integral becomes: integral[0 to 2] integral[0 to 2] -4x dy dz = -16.
Flux through the x = 2 plane: Similar to the previous case, the unit normal vector of this plane is i. The flux through this plane is given by the surface integral of f dot dS, where dS is the area element of the plane. Since f(x, y, z) = 4xi + xyj + 4xzk, the dot product is 4x. The integral becomes: integral[0 to 2] integral[0 to 2] 4x dy dz = 16.
Continue with steps 3-6, calculating the flux through the rest of the faces and summing them up.
Flux through the y = 0 plane: The unit normal vector of this plane is -j. The flux through this plane is given by the surface integral of f dot dS, where dS is the area element of the plane. Since f(x, y, z) = 4xi + xyj + 4xzk, the dot product is -xy. The integral becomes: integral[0 to 2] integral[0 to 2] -xy dx dz = -8.
Flux through the y = 2 plane: Similar to the previous case, the unit normal vector of this plane is j. The flux through this plane is given by the surface integral of f dot dS, where dS is the area element of the plane. Since f(x, y, z) = 4xi + xyj + 4xzk, the dot product is xy. The integral becomes: integral[0 to 2] integral[0 to 2] xy dx dz = 8.
Flux through the z = 0 plane: The unit normal vector of this plane is -k. The flux through this plane is given by the surface integral of f dot dS, where dS is the area element of the plane. Since f(x, y, z) = 4xi + xyj + 4xzk, the dot product is -4xz. The integral becomes: integral[0 to 2] integral[0 to 2] -4xz dx dy = -16.
Flux through the z = 2 plane: Similar to the previous case, the unit normal vector of this plane is k. The flux through this plane is given by the surface integral of f dot dS, where dS is the area element of the plane. Since f(x, y, z) = 4xi + xyj + 4xzk, the dot product is 4xz. The integral becomes: integral[0 to 2] integral[0 to 2] 4xz dx dy = 16.
Finally, to verify the divergence theorem, we sum up the flux through each face:
-16 + 16 + (-8) + 8 + (-16) + 16 = 0
The flux of the vector field f through the region e is 0
What is 99 pounds in kilograms
steph has 5 1/4 pounds of rice.she wants to place 1/4 pound of rice in each plastic bag.how many bags will she need?
An isosceles trapezoid has a perimeter of 40.9 feet. Its shorter base measures 3.5 feet and its longer base measures 4.4 feet. The two remaining sides have the same length; what is that length?
Answer:
16.5 feet is the amount of the length
help asap plz Me.Doyley can't explain it correctly
The area of a triangle is 30 square feet. If the height of the triangle is 5 feet, what is the base of the triangle? 12 ft 6 ft 3 ft 24 ft
To find the base of the triangle with a known area and height, apply the formula for the area of a triangle and solve for the base, resulting in 12 ft.
The base of the triangle can be found using the formula for the area of a triangle:
Area = 1/2 × base × heightGiven the area is 30 sq ft and height is 5 ftSubstitute the values: 30 = 1/2 × base × 5Solve for base: base = 30 / (1/2 × 5) = 30 / 2.5 = 12 ftFresh raspberries contain 80% water. Dried raspberries contain only 20% water. How many pounds of dried raspberries do you get from 36 lb of fresh berries?
hey can you please help me posted picture of question
Is 78990 divisible by 9
According to Dolbear’s law, you can predict the temperature T (in degrees Fahrenheit) by counting the number x of chirps made by a snowy tree cricket in 1 minute. For each rise in temperature of 0.25°F, the cricket makes an additional chirp each minute. a. A cricket chirps 40 times in 1 minute when the temperature is 50°F. Write an equation in slope-intercept form that represents the temperature in terms of the number of chirps in 1 minute. equation: T= _ b. You count 100 chirps in 1 minute. What is the temperature? The temperature is_ ºF. c. The temperature is 96 °F. How many chirps would you expect the cricket to make? _chirps
Final answer:
The equation according to Dolbear's law is T = 0.25x + 40. For 100 chirps, the temperature is 65°F. For a temperature of 96°F, the cricket would make 224 chirps.
Explanation:
According to Dolbear's law, the relationship between the temperature and the number of chirps made by a snowy tree cricket can be used to predict the temperature. We are given that at 50°F, a cricket chirps 40 times in one minute, and for each increase of 0.25°F, there is one additional chirp per minute. To write an equation in slope-intercept form (T = mx + b), where m is the slope and b is the y-intercept, we must find these values. Since we know that 40 chirps correspond to 50°F, we can use this as our starting point (b). Also, because each additional chirp represents a 0.25°F increase in temperature, the slope (m) is 0.25. Therefore, the equation is:
T = 0.25x + 40
If you count 100 chirps in one minute, to find the temperature, simply plug in the value for x in the equation:
T = 0.25(100) + 40
T = 25 + 40
T = 65°
The temperature is 65°F.
If the temperature is 96°F, to find the number of chirps (x), we rearrange the equation to solve for x:
96 = 0.25x + 40
x = (96 - 40) / 0.25
x = 224 chirps
You would expect the cricket to make 224 chirps.
The formula for glue says to add 55mL of hardener to each container of resin. How much hardener should be added to 14 containers of resin?
To determine the amount of hardener needed for 14 containers of resin, multiply the amount of hardener needed for one container (55mL) by the number of containers (14), resulting in 770mL of hardener.
Explanation:To determine the amount of hardener needed for 14 containers of resin, we can use the given formula of adding 55mL of hardener to each container. We can multiply the amount of hardener needed for one container (55mL) by the number of containers (14).
Calculation:
Amount of hardener needed for 14 containers = 55mL/container × 14 containers= 770mLTherefore, 770mL of hardener should be added to 14 containers of resin.
To calculate the total amount of hardener needed for 14 containers of resin, multiply the 55 mL required per container by 14, resulting in 770 mL of hardener needed.
Explanation:You are asked to determine how much hardener should be added to 14 containers of resin if it is known that 55 mL of hardener is required for each container. To find the total amount of hardener needed for 14 containers, you would use multiplication:
Total hardener needed = Hardener per container × Number of containers
So, Total hardener needed = 55 mL/container × 14 containers
Now by multiplying 55 by 14, we get:
Total hardener needed = 770 mL
Therefore, 770 mL of hardener is needed for 14 containers of resin.
How many social security numbers are available if the only restriction is that the number 000-00-0000 cannot be assigned?
Final answer:
There are 999,999,999 possible Social Security number combinations, subtracting one from the 10^9 available combinations to account for the restriction against the number 000-00-0000.
Explanation:
A Social Security number (SSN) consists of nine digits, traditionally written in the format XXX-XX-XXXX, where each X represents one digit from 0 to 9. When calculating the number of possible SSN combinations, one would consider that each digit position in the SSN can take on any value between 0 and 9, making for 10 possibilities per position. However, we also know that a SSN cannot be 000-00-0000. Hence, the total number of SSN combinations would be:
Total Combinations = 109 (number of combinations for nine digits) - 1 (excluding the number 000-00-0000).
109 equals 1,000,000,000, so removing one for the restricted number results in a total of 999,999,999 possible SSN combinations.