The company now has 675 employees after adding 35% more employees to the initial 500 employees.
What is percentage?A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
To calculate the total number of employees after adding 35%, you can multiply the initial number of employees by 1.35:
Total number of employees = 500 x 1.35
Total number of employees = 675
Therefore, the company now has 675 employees after adding 35% more employees to the initial 500 employees.
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Pattern A starts at 1 and uses the rule add 5." Pattern B starts at 28 and uses the rule "subtract 4."
What are the next four terms in each pattern?
Enter your answers in the boxes.
For the pattern A, the terms are 6, 11, 16 and 21
For the pattern B, the terms are 24, 20, 16, 12
How to determine the termsTo determine the consecutive terms of the sequence, we need to take note of the rule of each.
From the information given, we have that;
For the Pattern A
Each term is the previous term plus 5
This is represented as;
Pattern A = a + 5,
The first term = 1
Second term = 1 + 5 = 6
Third term = 6 + 5 = 11
Fourth term = 11 + 5 = 16
Fifth term = 16 + 5 = 21
For Pattern B = a - 4
Second term = 28 - 4 = 24
Third term = 24 - 4 = 20
Fourth term = 20 -4 = 16
Fifth term = 16 - 4 = 12
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3. A vehicle starting from rest (v(0) = m/s) at position x = 0 is subjected to the following acceleration, a(t):
A. Use your knowledge of derivatives and or integrals to plot the velocity and clearly indicate the maximum velocity on your graph
B. Given your results of part (a), use your knowledge of derivatives and or integrals to plot the position x (t), and clearly indicate the total distance traveled on your graph
Part A: The maximum velocity occurs at t = 0. We can plug this value into the velocity function to find the maximum velocity:
v_max = 0² = 0
Part B: The time at which the vehicle comes to rest is T = 0.
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range.
The first step is to integrate the acceleration function to obtain the velocity function. Then, we can integrate the velocity function to obtain the position function.
Let's assume that the acceleration function is given by:
a(t) = 2t, where t is time in seconds.
Part A:
To find the velocity function, we integrate the acceleration function with respect to time:
v(t) = ∫a(t)dt = ∫2tdt = t² + C
where C is the constant of integration. We can find C by using the initial condition v(0) = 0.
v(0) = C = 0
Therefore, the velocity function is given by:
v(t) = t²
To find the maximum velocity, we can take the derivative of the velocity function and set it equal to zero:
dv/dt = 2t = 0
t = 0
Therefore, the maximum velocity occurs at t = 0. We can plug this value into the velocity function to find the maximum velocity:
v_max = 0² = 0
So, the maximum velocity is 0 m/s.
Part B:
To find the position function, we integrate the velocity function with respect to time:
x(t) = ∫v(t)dt = ∫t²dt = (1/3)t³ + C
where C is the constant of integration. We can find C by using the initial condition x(0) = 0.
x(0) = C = 0
Therefore, the position function is given by:
x(t) = (1/3)t³
To find the total distance traveled, we can find the area under the velocity graph. Since the velocity is always positive, the total distance traveled is the same as the total displacement. Therefore, we can find the displacement by finding the area under the velocity graph from t = 0 to t = T, where T is the time at which the vehicle comes to rest.
v(T) = 0
T² = 0
T = 0
Therefore, the time at which the vehicle comes to rest is T = 0.
The displacement is given by:
x_displacement = ∫v(t)dt from t=0 to t=T = ∫0 dt = 0
Therefore, the total distance traveled is 0 meters.
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Is (-5, 3) a solution to this system of equations?
y = X-6
y = -2x - 7
yes
no
Answer:
No
Step-by-step explanation:
to determine if (- 5, 3 ) is a solution substitute the x- coordinate into both equations and if the value of y is equal to the y- coordinate then the point is a solution to the system.
y = x - 6 = - 5 - 6 = - 11 ≠ 3
y = - 2x - 7 = - 2(- 5) - 7 = 10 - 7 = 3
since both equations are not satisfied , then
(- 5, 3 ) is not a solution to the system
Ahmad received a $1100 bonus. He decided to invest it in a 2-year certificate of deposit (CD) with an annual interest rate of 1.14% compounded daily.
Answer the questions below. Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the
list of financial formulas. Assume there are 365 days in each year.
(a) Assuming no withdrawals are made, how much money is in Ahmad's
account after 2 years?
(b) How much interest is earned on Ahmad's investment after 2 years?
The interest that have been earned after two years is $25.
What is the compound interest?A type of interest known as compound interest is computed using both the original sum and any accrued interest from earlier periods. The interest that is earned on interest is, in other terms, interest.
We know that by the compound interest formula;
A = P(1 + r/n)^nt
A = amount
P = principal
r = rate
n = Number of times compounded
t = time
Thus;
A = 1100(1 + 0.0114/365)^365* 2
A = $ 1125
Thus the interest after two years is;
$ 1125 - $1100
= $25
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A scuba tank started with 40 cubic feet of air and was empty after a 10-minute dive.
Assume the rate of change is linear and complete the table.
The complete table is
Time (mins) 0 1 2 3 4 5 6 7 8 9 10
Amount of air (ft³) 40 36 32 28 24 20 16 12 8 4 0
What is the Rate of change :
The rate of change refers to the speed at which a quantity is changing with respect to time or some other variable.
It is a measure of how quickly or slowly a quantity is increasing or decreasing, and it is often represented as the slope of a graph or function. To fill the table we need to know the rate of change per minute in the air. Using the rate of change we can fill the table as follows
Here we have
A scuba tank started with 40 cubic feet of air and was empty after a 10-minute dive.
To complete the table, calculate the rate of change of the amount of air in the scuba tank.
We know that the scuba tank started with 40 cubic feet of air and was empty after a 10-minute dive, so we can use this information to find the rate of change:
Rate of change = (final amount - initial amount) / time
Rate of change = (0 - 40) / 10 = -4 ft³/min
The negative sign indicates that the amount of air in the scuba tank is decreasing over time, which makes sense since the diver is using up the air during the dive.
Using this rate of change, we can complete the table as follows:
For 1 min = 40 ft³ - 4 ft³ = 36 ft³
For 2 min = 36 ft³ - 4 ft³ = 32 ft³
For 3 min = 32 ft³ - 4 ft³ = 28 ft³
Similarly, we can fill the table as given below
Therefore
The complete table is
Time (mins) 0 1 2 3 4 5 6 7 8 9 10
Amount of air (ft³) 40 36 32 28 24 20 16 12 8 4 0
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Mary can mow Mrs. Greenway’s lawn in 45 minutes. Mary’s little brother takes twice as long to do the same lawn. How long will it take them if they each have a mower and they work together?
Answer:
30 minutes
Step-by-step explanation:
1/45 m + 1/90 m = 1
2/9 m + 1/90 m = 1
3/90 m = 1 Multiply both sides by 90/3
90/3 x 3/90 m = 1 x 90/3
m = 90/3
m = 30
Helping in the name of Jesus.
Martin made a stick pattern such that each successive stick is twice as long as the one before it. If the shortest stick in the pattern is long, and there are sticks in total, which is closest to the combined length of the sticks in Martin's pattern?
Express the second quantity as a percentage of the first: (a) 10 kilograms, 105 grams (b) 8 meters, 1 kilometer
(a) As a percentage, 105 grams is 1.04% of 10 kilograms.
(b) As a percentage 1 kilometer is approximately 99.21% of 8 meters.
How to Express a Quantity as a Percentage of another?(a) To express the second quantity, 105 grams, as a percentage of the first quantity, 10 kilograms, we first need to convert both quantities to the same unit.
10 kilograms is equal to 10,000 grams (since 1 kilogram = 1000 grams), so:
10,000 grams + 105 grams = 10,105 grams
105 grams / 10,105 grams * 100% = 1.04%
Therefore, 105 grams is 1.04% of 10 kilograms.
(b) To express the second quantity, 1 kilometer, as a percentage of the first quantity, 8 meters, we first need to convert both quantities to the same unit.
1 kilometer is equal to 1000 meters (since 1 kilometer = 1000 meters), so:
8 meters + 1000 meters = 1008 meters
1000 meters / 1008 meters * 100% = 99.21%
Therefore, 1 kilometer is approximately 99.21% of 8 meters.
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Over what interval does f(x) = 2x
increase faster than g (X) =
¿x?
A. 1
B. x > 3
C.20
D. 1 > x > 21
If over what interval does f(x) = 2x increase faster than g (X): A. 1
What is over the interval?To determine over what interval f(x) = 2x increases faster than g(x) = x^2, we need to compare their derivatives. The derivative of f(x) is 2, which is a constant, and the derivative of g(x) is 2x. Therefore, f(x) increases at a constant rate of 2, while g(x) increases at a rate that depends on x.
To find the interval where f(x) increases faster than g(x), we need to find where the derivative of g(x) is less than 2. Setting 2x < 2 and solving for x, we get x < 1.
So, over the interval x < 1, f(x) = 2x increases faster than g(x) = x^2.
Therefore, the answer is A. 1.
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What is the answer to
7 + 60 / (3x5)
4) Which of the following lists are in order from least to greatest? Select TWO correct answers * 2 points
A 117.51 17.382 17.38 17.23
B 452.8 45.18 452.28 453.71
C 0.005 0.045 0.102 0.63
D 2.452 2.749 2.981 2.994
E 7.604 7.599 7.452 7.045
Answer: The two lists that are in order from least to greatest are:
C) 0.005, 0.045, 0.102, 0.63
and
E) 7.045, 7.452, 7.599, 7.604
Step-by-step explanation:
To determine which lists are in order from least to greatest, we need to compare the values and arrange them accordingly. Here is the explanation for the two correct answers:
C) 0.005, 0.045, 0.102, 0.63
This list is already in order from least to greatest. Starting from the smallest value of 0.005, each subsequent value increases until we reach the largest value of 0.63.
E) 7.045, 7.452, 7.599, 7.604
This list is also in order from least to greatest. Starting from the smallest value of 7.045, each subsequent value increases until we reach the largest value of 7.604.
For the other options:
A) 117.51, 17.382, 17.38, 17.23 - This list is not in order from least to greatest.
B) 452.8, 45.18, 452.28, 453.71 - This list is not in order from least to greatest.
D) 2.452, 2.749, 2.981, 2.994 - This list is not in order from least to greatest.
Therefore, the two lists that are in order from least to greatest are C (0.005, 0.045, 0.102, 0.63) and E (7.045, 7.452, 7.599, 7.604).
anyone know this answer cus I don’t
Answer: 13 units
Step-by-step explanation:
If you look at the corresponding side on the other triangle, it is also 13, and in the question it say the side on the other triangle has the same length as the one you are finding.
Given a continuous-time system with the input-output relation:
[tex]y(t) = T\left\{x(t) \right\} = x^2(t)[/tex]
Determine whether this system is:
- Linear
- Time-invariant
The given input-output relation is a nonlinear function of the input signal x(t), since it involves squaring the signal at every point in time. A linear system must satisfy the property of superposition, which states that the output to a linear combination of inputs must be the same as the linear combination of the outputs to each individual input.
To determine whether the system is time-invariant, we need to check if a time shift in the input signal produces the same time shift in the output signal. That is, if: [tex]y(t) = T{x(t)}[/tex] for all values of t. Then we want to check [tex]y(t - τ) = T{x(t - τ)}[/tex] for all values of [tex]τ[/tex] and [tex]t[/tex].
We shall the consider the case where [tex]τ > 0[/tex], then we have:
[tex]y(t - τ) = (x(t - τ))^2[/tex]
[tex]T{x(t - τ)} = (x(t - τ))^2[/tex]
Since [tex]y(t - τ) = T{x(t - τ)}[/tex], we can conclude that the given system is time-invariant.
Therefore, the given system is nonlinear but time-invariant.
Consider the quadratic function f(x) = 1/5x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
The three statements that are true about the function and its graph are:
The graph of the function is a parabola.
The graph opens downwards, since the coefficient of x² is positive.
The graph contains the point (0, 12), which can be obtained by substituting x=0 in the function.
To check the other statements:
What is the value of f(–10) = 82?To find f(-10), we substitute x=-10 in the function:
f(-10) = 1/5*(-10)² - 5*(-10) + 12 = 82. So the statement "The value of f(–10) = 82" is true.
To check if the graph contains the point (20,-8), we substitute x=20 in the function:
f(20) = 1/5*(20)² - 5*(20) + 12 = -68. This means the point (20,-8) does not lie on the graph of the function.
To check if the graph contains the point (0,0), we substitute x=0 in the function:
f(0) = 1/5*(0)² - 5*(0) + 12 = 12. This means the point (0,0) does not lie on the graph of the function.
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How much money will be in the savings account after 13 years if I start with $4200, the annual interest rate is 5.2%, and it's compounded quarterly?
In the Show Your Work box, must have the following:
- 1 pt- Formula used
- 1 pt- Variables and what they stand for
- 3 pts- Full solving process
In the answer box, ONLY the amount (round to a whole number)!
The accrued value of the account in 14 years is $4967.89
Determining the accrued value of the account in 13 yearsFrom the question, we have the following parameters that can be used in our computation:
You invest 4200 in an account5.2% interest compounded quarterlyUsing the above as a guide, we have the following:
Amount = P * (1 + 0.25r)ᵗ
Where
P = Principal = 4200
r = Rate = 5.2% = 0.052
t = time = 13
Substitute the known values in the above equation, so, we have the following representation
Amount = 4200 * (1 + 0.25 * 0.052)¹³
Evaluate
Amount = 4967.89
Hence, the amount is 4967.89
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Find the perimeter and the area of the figure. Round answers to the nearest tenth.
Composite shape formed by a rectangle and two semicircles. Each semicircle has a diameter of 15 feet and is aligned with the length of the rectangle. The rectangle has a width of 4 feet.
perimeter: about
ft
area: about
ft²
The answer of the given question based on the circle and rectangle is , the perimeter of the shape is approximately 83.8 feet, and its area is approximately 148.4 feet².
What is Perimeter?Perimeter is a measurement of the distance around the edge of a two-dimensional shape. It is the sum of the lengths of all the sides of the shape. The perimeter is often measured in units of length, such as centimeters, meters, or feet.
To find the perimeter and area of the composite shape formed by a rectangle and two semicircles, we can break it down into its individual components and then add them up.
First, let's find the perimeter. The shape consists of two semicircles, each with a diameter of 15 feet, and a rectangle with a width of 4 feet and a length equal to the diameter of the semicircles, which is 15 feet. The perimeter can be calculated as:
Perimeter = 2 × (semicircle circumference) + rectangle perimeter
The circumference of circle is by the formula 2πr, where r is the radius. Since each semicircle has a diameter of 15 feet, its radius is 7.5 feet. Therefore, the circumference of each semicircle is:
C = 2πr = 2π(7.5) = 15π feet
The perimeter of the rectangle is simply the sum of its four sides, which is:
P = 2(length + width) = 2(15 + 4) = 38 feet
Putting it all together, we have:
Perimeter = 2 × 15π + 38 ≈ 83.8 feet
Now let's find the area. The shape consists of two semicircles, each with a diameter of 15 feet, and a rectangle with a width of 4 feet and a length equal to the diameter of the semicircles, which is 15 feet. The area can be calculated as:
Area = (semicircle area) + rectangle area
The area of a circle is given by the formula πr². Since each semicircle has a diameter of 15 feet, its radius is 7.5 feet. Therefore, the area of each semicircle is:
A = (1/2)πr² = (1/2)π(7.5)² = 44.18 feet²
The area of the rectangle is simply its length multiplied by its width, which is:
A = length × width = 15 × 4 = 60 feet²
Putting it all together, we have:
Area = 2 × 44.18 + 60 = 148.4feet²
Therefore, the perimeter of the shape is approximately 83.8 feet, and its area is approximately 148.4 feet².
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What 4×4/3 in its simplest form
Answer:
5 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{4}{1}[/tex] x [tex]\frac{4}{3}[/tex] = [tex]\frac{16}{3}[/tex]
You can re-write [tex]\frac{16}{3}[/tex] as
[tex]\frac{3}{3}[/tex] + [tex]\frac{3}{3}[/tex] + [tex]\frac{3}{3}[/tex] + [tex]\frac{3}{3}[/tex] + [tex]\frac{3}{3}[/tex] + [tex]\frac{1}{3}[/tex] I wrote it like this because every [tex]\frac{3}{3}[/tex] is equal to 1.
1 + 1 + 1 + 1 + 1 + [tex]\frac{1}{3}[/tex] = 5[tex]\frac{1}{3}[/tex]
Helping in the name of Jesus.
find slope and y intercept of -5x = 8 - y
Use the graph to answer the question.
graph of polygon ABCD with vertices at 1 comma 5, 3 comma 1, 7 comma 1, 5 comma 5 and a second polygon A prime B prime C prime D prime with vertices at 8 comma 5, 10 comma 1, 14 comma 1, 12 comma 5
Determine the translation used to create the image.
7 units to the right
7 units to the left
3 units to the right
3 units to the left
Two angles lie along a straight line. If m∠A is five times the sum of m∠B plus 7.2°, what is m∠B?
As a result, angle B has a 24 degree measure as the total of the two angles, which are along a straight line, is 180 degrees.
what is angle ?Thus according their size or measurement, angles can be categorised. An oblique angle is larger than 90 degrees but far less than 180 degrees, a straight angle is exactly 90 degree, a right angle is turned 90 degrees, and an acute angle is less than 90 degrees. Reflex angles are angles that are higher than 180o but a little less than 360 degrees, and complete angles are angles that measure exactly 360 degrees. Geometry, trigonometry, physics, engineering, and many other branches of mathematics and science all make use of angles.
given
The total of the two angles, which are along a straight line, is 180 degrees. Let's refer to the angle B's measurement as x.
The information provided in the problem can then be used to create an equation as follows:
m∠A = 5(m∠B + 7.2°)
Due to the fact that the two angles are perpendicular to one another, we may replace mA with 180 - mB:
180 - m∠B = 5(m∠B + 7.2°)
The right side is being widened:
180 - m∠B = 5m∠B + 36
Simplifying and putting all the mB words to one side:
6m∠B = 144
m∠B = 24
As a result, angle B has a 24 degree measure as the total of the two angles, which are along a straight line, is 180 degrees.
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The volume of a rectangular prism is 5058
50
5
8
cubic inches.
The dimensions are given below.
What is the missing value in the table?
The missing value in the table include the following: B. 4 1/2 in.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;
50 5/8 = 5 × W × 2 1/4
Width, W = 4 1/2 inches.
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Complete Question:
The volume of a rectangular prism is 50 5/8 cubic inches.
The dimensions are given below.
What is the missing value in the table?
Length Width Height
5 in. 214 in.
A. 79in.
B. 412in.
C. 134in.
D. 1018in.
*HELP!!* MULTIPLE CHOICE!!
Consider the graph of the function f(x)=log2 x, what are the features of function g if g(x)=-f(x)-1
The features of function g if g(x) = -f(x)-1 include the following:
B. domain of (0, ∞).
C. vertical asymptote of x = 0.
D. x-intercept at (1/2, 0).
What is a domain?In Mathematics and Geometry, a domain is the set of all real numbers for which a particular function is defined.
Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following key features:
Domain = (0, ∞)
Range = (-∞, ∞).
vertical asymptote, x = 0.
x-intercept = (1/2, 0).
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Which values should be added
The missing values of h(x) to show it is a linear function are:
X=1, h(x)=3
X=3, h(x)=17
X=5, h(X)=31
So, the correct answer is (c)
What is linear function?A linear function is a mathematical relationship between two variables that produces a straight line when plotted on a graph, with a constant rate of change between them.
What is function?A function is a mathematical rule that assigns each input value to a unique output value. It can be represented graphically, algebraically, or with a table of values.
According to the given information:
To prove that h(x) is a linear function, we need to show that the difference in h(x) values between any two points is proportional to the difference in their corresponding x values.
Using the given values in the table, we can calculate the differences in h(x) values and x values:
Δh(x) = h(x) - h(x-1)
Δx = x - (x-1) = 1
Δh(x=1) = h(x=1) - h(x=0) = ? - (-4) = ?
Δh(x=3) = h(x=3) - h(x=2) = ? - 10 = ?
Δh(x=5) = h(x=5) - h(x=4) = ? - 24 = ?
If h(x) is a linear function, then the ratio of Δh(x) to Δx should be the same for all pairs of consecutive x values. We can use the given values of Δh(x=2) and Δx=1 to calculate this ratio:
Δh(x=2)/Δx = (10 - (-4))/2 = 7
We can now use this ratio to find the missing values of h(x):
Δh(x=1)/Δx = ?/1 = 7
Δh(x=3)/Δx = ?/1 = 7
Δh(x=5)/Δx = ?/1 = 7
?/1 = 7 => ? = 7
Therefore, the missing values of h(x) are:
X=1, h(x)=3
X=3, h(x)=17
X=5, h(X)=31
So, the correct answer is (c)
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solve for f
f/40 = 10/f
Answer:
Step-by-step explanation:
To solve for f, we can cross-multiply the equation:
f/40 = 10/f
Multiplying both sides by 40f gives:
f^2 = 400
Taking the square root of both sides yields:
f = ±20
Therefore, the solutions for f are f = 20 and f = -20. However, since f represents a physical quantity (presumably a frequency), we take only the positive value:
f = 20
A sphere has a radius of 4 in choose true or false for each statement
The true statements are (a) A sphere with half the radius has 1/8 of the volume and (c) A sphere with 3 times the radius has 27 times the volume
Finding the true statements from the radius and volumeGiven that the radius of the sphere is represented as
Radius, r = 4 inches
The formula of the volume of the sphere is represented as
V = 4/3πr³
For the transformed volume, we have
V₂ = 4/3πR³
Where
R = kr and k is the scale factor
So, we have
V₂ = 4/3π(kr)³
V₂ = 4/3πr³k³
This gives
V₂ = Vk³
Testing the statements, we have
(a) A sphere with half the radius has 1/8 of the volume
V₂ = V(1/2)³
Evaluate
V₂ = 1/8V
So, the statement is true
(b) A sphere with twice the radius has 6 times the volume
V₂ = V(2)³
Evaluate
V₂ = 8V
So, the statement is false
(c) A sphere with 3 times the radius has 27 times the volume
V₂ = V(3)³
Evaluate
V₂ = 27V
So, the statement is true
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Complete question
A sphere has a radius of 4 inches.
Choose True or False for each statement.
(a) A sphere with half the radius has 1/8 of the volume
(b) A sphere with twice the radius has 6 times the volume
(c) A sphere with 3 times the radius has 27 times the volume
6.1: Fill in the Box
For each expression, what value would need to be in the box in order for the expression to
be a perfect square trinomial?
10. x² + 10x + __
11. x²-16x + __
12. x² + 40x+ __
13. x2+5x+ __
Fill the blanks fr
(10) The value that will make the equation a perfect square is 25.
(11) The value that will make the equation a perfect square is 64.
(12) The value that will make the equation a perfect square is 400.
(13) The value that will make the equation a perfect square is 6.25.
What is the required value for a perfect square?To make a perfect square trinomial of the form x² + bx + c, we need to add (b/2)² to both sides.
the perfect square is calculated as;
x² + 10x + __
b = 10,
(b/2)² = 25
the perfect square is calculated as;
x² - 16x + __
b = -16
(b/2)² = 64
the perfect square is calculated as;
x² + 40x + __
b = 40
(b/2)² = 400
the perfect square is calculated as;
x² + 5x + __
b = 5
(b/2)² = 6.25
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Express the ratio below in its simplest form.
4.5: 3 1/2
Answer:
9 : 7
Step-by-step explanation:
4.5 : 3.5 are decimals so we can multiply them both by 2 to get whole numbers. 4.5 doubled is 9 and 3.5 doubles is 7. Therefore the ratio becomes 9:7
ayuda porfavor
necesito resolver esto es simplificarlo no resolverlo ayuda pls
The Simplification of the algebraic expression gives:
a. -2/3x² - (4/15)xy + (11/4)y²
b. -(12/7)x³ + (20/9)y
How to simplify algebraic expressions?Simplification of an algebraic expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression
a. (1/3)x² - (2/5)xy + 2y² + (2/15)xy - 3x² + (3/4)y²
To simplify this, add or subtract like terms. That is:
(1/3)x² - (2/5)xy + 2y² + (2/15)xy - 3x² + (3/4)y²
= (1/3)x² - 3x² - (2/5)xy + (2/15)xy + 2y² + (3/4)y²
= -2/3x² - (4/15)xy + (11/4)y²
b. (2/7)x³ - (1/3)y + 2y - 2x³ + (5/9)y
To simplify this, add or subtract like terms. That is:
(2/7)x³ - (1/3)y + 2y - 2x³ + (5/9)y = (2/7)x³- 2x³ - (1/3)y + 2y + (5/9)y
= -(12/7)x³ + (20/9)y
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7x³+5x² - 2 = [?]
X = -1
Assume that you are the president of your company and paid a year-end bonus according to the amount of net income earned during the year. When prices are rising, would you choose a FIFO or weighted average cost flow assumption? Explain, using an example to support your answer. Would your choice be the same if prices were falling?
If prices are rising, I would choose to use the FIFO (first-in, first-out) cost flow assumption. This is because under FIFO, the earliest inventory items purchased are assumed to be sold first, leaving the more recently purchased, and therefore higher-priced, items in inventory. As a result, the cost of goods sold (COGS) will be based on the lower, earlier purchase prices, resulting in higher net income and, therefore, a higher year-end bonus.
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