Answer:
The diagonals bisect each other.
Step-by-step explanation:
Given
Rhombus ABCD
Required
Which property proves AEB ≅ DEC by SAS
From the question, we understand that the property is to be proved by SAS; SAS implies that Side-Angle-Side
We can assume that point E is where the diagonals meet.
So, we have:
Equal sides: AE = DE and BE = CD
Equal angle: <E = <E
The above implies that the diagonals bisect one another.
Answer:
its both the Diagonal answers
Step-by-step explanation:
5 7/10 - 1 2/5? whats the number to this
Answer:
3.3
Step-by-step explanation:
57 / 10 = 5.7
12 / 5 = 2.4
5.7 - 2.4 = 3.3
Answer: 4 3/10 or 4.3
Step-by-step explanation:
5 7/10 as an improper fraction is 57/10
1 2/5 as an improper fraction is 7/5, so 57/10 - 7/5 = 4 3/10 or converted to a decimal 4.3
find value of x pllllllllllllllllllllllllllllllllllllllll
Answer:
try to see the rules for this question and you will get answer
have a nice day
Step-by-step explanation:
Given a group of students: G = {Allen, Brenda, Chad, Dorothy, Eric) or G = {A, B, C, D, E, list and count the differen ways of choosing the following officers or representatives for student congress (Allen, Chad, and Eric are men) Assume that no one can hold more than one office. 1) A president, a secretary, and a treasurer, if the president must be a woman and the other two must be men A) BAC, BAE, BCE, DAC, DAE, DCE, BCA, BEA, BEC, DCA, DEA, DEC:12 ways B) CAB, EAB, ECB, CAD, EAD, ECD, ACB, AEB, CEB, ACD, AED, CED; 12 ways C) BAC, BAE, DAC, DAE; 4 ways D) BAC, BAE, BCE, DAC, DAE, DCE 6 ways
The different ways of choosing a president, a secretary, and a treasurer, with the president being a woman and the other two being men, are 12 ways (option A).
To choose a president, a secretary, and a treasurer from the group of students (G = {Allen, Brenda, Chad, Dorothy, Eric}), with the condition that the president must be a woman and the other two must be men, we can list and count the different ways as follows:
A) The president is Brenda (B), and the two men are Allen (A) and Chad (C): BAC
The president is Brenda (B), and the two men are Allen (A) and Eric (E): BAE
The president is Brenda (B), and the two men are Chad (C) and Eric (E): BCE
The president is Dorothy (D), and the two men are Allen (A) and Chad (C): DAC
The president is Dorothy (D), and the two men are Allen (A) and Eric (E): DAE
The president is Dorothy (D), and the two men are Chad (C) and Eric (E): DCE
The total number of ways: 12
B) The president is Chad (C), and the two men are Allen (A) and Brenda (B): CAB
The president is Eric (E), and the two men are Allen (A) and Brenda (B): EAB
The president is Eric (E), and the two men are Chad (C) and Brenda (B): ECB
The president is Chad (C), and the two men are Allen (A) and Dorothy (D): CAD
The president is Eric (E), and the two men are Allen (A) and Dorothy (D): EAD
The president is Eric (E), and the two men are Chad (C) and Dorothy (D): ECD
The total number of ways: 12
C) The president is Brenda (B), and the two men are Allen (A) and Chad (C): BAC
The president is Brenda (B), and the two men are Allen (A) and Eric (E): BAE
The president is Dorothy (D), and the two men are Allen (A) and Chad (C): DAC
The president is Dorothy (D), and the two men are Allen (A) and Eric (E): DAE
The total number of ways: 4
D) The president is Brenda (B), and the two men are Allen (A) and Chad (C): BAC
The president is Brenda (B), and the two men are Allen (A) and Eric (E): BAE
The president is Brenda (B), and the two men are Chad (C) and Eric (E): BCE
The president is Dorothy (D), and the two men are Allen (A) and Chad (C): DAC
The president is Dorothy (D), and the two men are Allen (A) and Eric (E): DAE
The president is Dorothy (D), and the two men are Chad (C) and Eric (E): DCE
The total number of ways: 6
In summary, there are 12 ways in options A and B, 4 ways in option C, and 6 ways in option D to choose a president, a secretary, and a treasurer with the given conditions.
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What is y to the 7th power, then subtract 8 from the result
Answer: y^7 - 8
Step-by-step explanation:
It is an algebra equation. It can't be factor or solve further!
f(x)=-4x^2-6x+1 find all the real zeros of the quadratic function
Answer:
The real zeros of the quadratic function f(x) = -4x^2 - 6x + 1 are approximately -0.15 and -1.35.
Step-by-step explanation:
To find the real zeros of the quadratic function f(x) = -4x^2 - 6x + 1, we need to find the values of x that make f(x) equal to zero. We can do this by using the quadratic formula:
x = [-b ± sqrt(b^2 - 4ac)] / 2a
where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c.
In this case, a = -4, b = -6, and c = 1. Substituting these values into the quadratic formula, we get:
x = [-(-6) ± sqrt((-6)^2 - 4(-4)(1))] / 2(-4)
x = [6 ± sqrt(52)] / (-8)
x = [6 ± 2sqrt(13)] / (-8)
These are the two solutions for the quadratic equation, which we can simplify as follows:
x = (3 ± sqrt(13)) / (-4)
Therefore, the real zeros of the quadratic function f(x) = -4x^2 - 6x + 1 are approximately -0.15 and -1.35.
Corporate triple a bond interest rates for 12 consecutive months are as follows:
9.6
9.2
9.3
9.7
9.8
9.7
9.7
10.6
9.9
9.6
9.4
9.7
if required, round your answer to two decimal places.
develop three-month and four-month moving averages for this time series. if required, round your answers to two decimal places.
enter the mean square errors for the three-month and four-month moving average forecasts. if needed, round your answer to three decimal digits.
what is the moving average forecast for the next month?
The mean square errors for the three-month and four-month moving average forecasts shown below.
What is mean square errors?How closely a regression line resembles a set of data points is determined by the Mean Squared Error. It is a risk function that corresponds to the squared error loss's expected value. The average, more particularly the mean, of errors squared from data related to a function is used to determine mean square error.
Given:
According to the Given data we construct a table as
Month Sales 3- month 4- month 3- month 4- month
moving moving squared squared
averages averages error error
1 9.6
2 9.2
3 9.3
4 9.2 9.367 0.111
5 9.2 9.400 9.450 0.160 0.123
6 9.2 9.500 9.500 0.010 0.140
7 9.2 9.733 9.625 0.001 0.006
8 9.2 9.733 9.725 0.751 0.776
9 9.2 10.000 9.950 0.010 0.002
10 9.2 10.067 9.975 0.218 0.141
11 9.2 10.033 9.950 0.401 0.322
12 9.2 9.633 9.975 0.004 0.031
13 9.567 9.650
MSE 0.185 0.176
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consider the two jars below, which each contain 10 marbles. in jar a, 70% of the marbles are green and 30% of them are blue. in jar b, 30% of the marbles are green and 70% of them are blue. suppose a computer randomly chooses one of the jars, where there is a 15% chance it chooses jar a and a 85% chance it chooses jar b. the randomly chosen jar is shaken (shuffling its contents), and a marble is drawn out of it: the marble is green. what is the percent chance it came from jar a?
The likelihood that a green marble from jar A will be drawn out of it is 0.105.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of occurrences that follow a probability distribution.
Here,
For jar A,
Total Marbles=10
Number of green marbles=7
Number of blue of marbles=3
For jar B,
Total Marbles=10
Number of green marbles=3
Number of blue of marbles=7
Probability of choosing jar A=15/100
Probability of choosing jar B=85/100
Probability that a marble is drawn out of it is the marble is green that came from jar a= 15/100*7/10
=105/1000
=0.105
Probability that a marble is drawn out of it is the marble is green that came from jar A is 0.105.
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A graphic artist has a picture that is 5 inches by 10 inches. The picture
needs to be enlarged so the longer side is 30 inches. The ratio of the
side lengths will remain the same. How long will the shorter side be
after the enlargement?
Answer:
15 inches
Step-by-step explanation:
Learning Goal:
To understand how observational evidence is used to test the nebular theory.
Introduction. Our modern theory of the formation of our solar system, called the nebular theory, successfully explains all the major features of our solar system. In this tutorial, you will consider how this theory should apply to other solar systems.
Part A
Sort the following hypothetical discoveries into the appropriate bins as follows:
Consistent with theory: The statement describes a discovery that we could reasonably expect to find if the nebular theory is correct.
Not consistent with theory: The statement describes a discovery that would force us to modify or discard the nebular theory.
According to the nebular theory, the solar system was formed by the gravitational collapse of a giant molecular cloud, which eventually formed the sun and the planets. This theory has been widely accepted by astronomers as it explains several observed phenomena in the solar system, such as the similar orbital planes and the direction of rotation of the planets, and the composition of asteroids and comets.
However, there are some observations that would be inconsistent with the nebular theory, and that would require modifications or a complete rejection of the theory. One example of such an observation is the discovery of a planet orbiting a star in a retrograde direction.
According to the nebular theory, all planets should orbit their star in the same direction as the star's rotation, as the planets formed from the same spinning disk of gas and dust as the star. Therefore, the discovery of a planet with a retrograde orbit would require a modification of the nebular theory.Another example of an observation that is not consistent with the nebular theory is the presence of hot Jupiters, which are giant gas planets orbiting very close to their star.
According to the nebular theory, gas giants should form far from their star, where the temperature is low enough for ice to condense and form planetesimals. These planetesimals would then grow by accretion to form gas giants. However, hot Jupiters cannot form in the inner regions of a protoplanetary disk, as the temperatures are too high for ice to condense. Therefore, the presence of hot Jupiters requires a modification of the nebular theory.There are also other theories that could explain the formation of the solar system, such as the disk instability theory and the capture theory. These theories have their own strengths and weaknesses, and they are still being studied and debated by astronomers.
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In *W * X * Y , y = 7.8 cm angle W=26^ and angle X=76^ Find the length of w, to the nearest of a centimeter
Answer: 3.5
Step-by-step explanation:
.In a multiple regression model, the variance of the error term `eâ is assumed to be the same for all values of the dependent variable.
A)the same for all values of the independent variable
B)zero.
C)the same for all values of the independent variable.
D)one.
In a multiple regression model, the variance of the error term e is assumed to be the same for all values of the independent variable. Therefore, the correct option is C) the same for all values of the independent variable.
In multiple regression, we use several independent variables to predict the values of the dependent variable. The model estimates the relationship between the independent variables and the dependent variable by calculating the coefficients of the independent variables.
The error term e represents the difference between the predicted value of the dependent variable and the actual value of the dependent variable.
The assumption of constant variance of the error term e is known as homoscedasticity. It means that the variance of the errors is the same for all levels of the independent variables.
This assumption is important because, if the errors have different variances across the levels of the independent variable, the model may not accurately capture the relationship between the independent variables and the dependent variable, leading to biased and unreliable results. so, the correct answer is C).
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Show that ( n
ˉ
n−1
)=n for any whole number n≥1.
(n/n-1) = n for any whole number n≥1, since n-1 divides evenly into n and the remainder is 0. We can prove this by induction. When n = 1, (n/n-1) = 1/0, which is undefined. However, 1 is also undefined, so the base case holds.
Assume that (n/n-1) = n for some whole number n ≥ 1. Then,
(n+1)/(n+1-1) = (n+1)/n = n + 1 - 1 = n
Therefore, (n+1)/(n+1-1) = n for any whole number n ≥ 1.
Proof by contradiction:
Suppose that (n/n-1) ≠ n for some whole number n ≥ 1. Then,
(n/n-1) - n ≠ 0
This means that (n/n-1) - n is either positive or negative.
If (n/n-1) - n is positive, then it is greater than 0. This means that n is less than n/n-1. However, this is impossible, since n is a whole number and n/n-1 is a non-integer.
If (n/n-1) - n is negative, then it is less than 0. This means that n is greater than n/n-1. However, this is also impossible, since n is a whole number and n/n-1 is a non-integer.
Therefore, our assumption must be false, and (n/n-1) = n for any whole number n ≥ 1.
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Find the volume of the prism.
8 cm
cm³
6 cm
12 cm
The volume of the prism is 576 cubic centimeters (cm³).
How did we get the value?To find the volume of a prism, one needs to multiply the base area of the prism by its height. In this case, since the base of the prism is a rectangle, the base area is calculated by multiplying the length and width of the rectangle.
Given:
Length = 8 cm
Width = 6 cm
Height = 12 cm
Calculate the base area:
Base area = Length x Width
Base area = 8 cm x 6 cm
Base area = 48 cm²
Now, calculate the volume of the prism:
Volume = Base area x Height
Volume = 48 cm² x 12 cm
Volume = 576 cm³
Therefore, the volume of the prism is 576 cubic centimeters (cm³).
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50 points and BRAINLIEST
Answer:
AZ = 12.80
Step-by-step explanation:
There are 2 triangles in the square XARS. Squares are always congruent, all sides are the same. Given that WT is 6, we can assume that RS is also 6 (because of congruency). RA is is the hypotenuse of the triangle ARS. To find AS, we can plug in the pythagorean theorem 6^2+x=^2=10^2. We end up getting square root of 64 which simplifies to 8. AS is now 8. We also know that ST is 6 since the square WRST has all congruent sides. 8+6=14 gives us line AT. TZ is 8 due to triangle XAR and the congruency theorem. Now we plug in pythagorean theorem to find AZ and we get 8^2+10^2=x^2. After simplifying the square root of 164, we see that AZ is equal to 12.80
Answer:
12.80
Step-by-step explanation:
SO IT IS 12.80 BECAUSE IT IS 12.80. SIMLIFY TO 12.8 SO YEAH!!
HOPE YOU UNDERSTAND.
Isabella sells hats at her store. She typically sells 24 hats every 3 days. Based on this information, how many days will it take Isabella to sell 96 hats? i need ao much help
It will take Isabella 12 days to sell 96 hats at her store.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
To solve this problem, we need to determine the rate at which Isabella sells hats.
Since she sells 24 hats every 3 days, we can say that her rate is 8 hats per day.
To find the number of days it will take Isabella to sell 96 hats, we can divide the number of hats she needs to sell by her rate.
This gives us:
96 hats / 8 hats/day = 12 days
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Here's Francesca's description of the scatterplot:
There is a strong nonlinear association between group size and time. There don't seem to be any outliers.
What, if anything, is missing from this description?
Choose 1 answer:
A:Form
B: Direction
C: Strength
D: Outliers
E: Nothing is missing: this is a complete description.
How many solutions does the system have? 2x+3y=-6 3x-4y=-12. A) exactly one solution b) no solution c) infinity many solutions
Answer:
a.
Step-by-step explanation:
by elimanation,cimparison or substitution you wull get the value of x=-60/17 and y=6/17
Please help with these two questions...
I'll give you brainliest and I'll give you likes
Answer:
GH= 65.75
x=44.25
Step-by-step explanation:
I'm not so sure don't take my word for it I just wanted to try because I'm also new to geometry.
3√27 + √9 the answer for this question
Answer:
6
Step-by-step explanation:
∛27=3
√9=3
3+3=6
Please give brainliest if this helped and thank me
consider the expression\[x^2 18x \boxed{\phantom{00}}.\] find all possible values for the missing number that make this expression the square of a binomial.
The missing number is 81.
Consider the expression\[x^2 18x \boxed{\phantom{00}}.\]
We have to find all the possible values of the missing number that makes this expression a square of a binomial. To find the value of the missing number we have to divide the coefficient of the x term by 2 and then square it. The value that we obtain will be the value of the missing term.
So, the coefficient of x is 18.
Let's use the formula now:\[\text{Missing term }= \left( {\frac{{18}}{2}} \right)^2 = 9^2 = 81\]
Therefore, the missing number is 81.
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Which statement best explains the relationship
between lines FG and HJ?
O They are perpendicular because their slopes are
equal.
O They are perpendicular because their slopes are
O They are not perpendicular because their slopes are
O They are not perpendicular because their slopes are
negative reciprocals.
equal.
not negative reciprocals.
Answer:
they are perpendicular because they have slopes that are negative reciprocals
Step-by-step explanation:
th
The statement that best explains the relationship between lines FG and HJ is "They are not perpendicular because their slopes are not negative reciprocals."
What is a slope?The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
To find the slope of a line passing through two given points, we use the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
For line FG, the two points are F(-4, 1) and G(0, -2):
slope of FG = (-2 - 1) / (0 - (-4)) = (-2 - 1) / 4 = -3/4
For line HJ, the two points are H(-4, -2) and J(0, 4):
slope of HJ = (4 - (-2)) / (0 - (-4)) = 6/4 = 3/2
The slopes of lines FG and HJ are not equal. However, we can see that they are not negative reciprocals of each other:
slope of FG = -3/4
slope of HJ = 3/2
Therefore, lines FG and HJ are not perpendicular because their slopes are not negative reciprocals of each other.
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A vehicle was valued at $36,000 in the year 2011. The value depreciated to $12,000 by the year 2015. Assume that the car continues to drop at a constant rate. How long will it take for the car to be valued at $800?
The car will cost $ 800 after a depreciation time of approximately 6 years.
In what year does a car cost $ 800 due to depreciation?
Herein we are informed about the case of a car bought in 2011 at a cost of $ 36,000 and that depreciates linearly every year. Then, the depreciation function is described below:
c(t) = c' + m · t
Where:
c' - Initial cost of the car, in monetary unit.m - Depreciation rate, in monetary unit per year.t - Time, in years.If we know that c(0) = 36,000, c(4) = 12,000 and c(t) = 800, then the depreciation rate is:
m = (12,000 - 36,000) / (4 - 0)
m = - 24,000 / 4
m = - 6,000
800 = 36,000 - 6,000 · t
6,000 · t = 35,200
t = 35,200 / 6,000
t = 5.867
The expected depreciation time is approximately 6 years.
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Joey bought a 3-kilogram bag of carrots from the grocery store. He added 0.8 kilograms of carrots to a pot of vegetable soup. Then, he grated 400 grams of carrots for his carrot cake. How many kilograms of carrots does he have left?
The amount of carrots Joey has left according to the task content is; 1.8kg.
How many kilograms of carrots does he have left?It follows from the task content that the quantity of carrots he has initially is; 3 kg.
On this note, upon adding 0.8 kilograms of carrots to a pot of vegetable soup, and grated 400 grams of carrots = 0.4kg, it follows that the quantity of carrot left is;
= 3 - 0.8 - 0.4 = 1.8kg.
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sketch the vector as a position vector and find its magnitude. v=-9i-8j
To sketch the vector v = -9i - 8j as a position vector, we start at the origin (0, 0) and move in the direction of the vector. The magnitude of the given position vector is 12.04 units.
First, draw a horizontal line segment of length 9 units in the negative x-direction (-i) from the origin.
Next, draw a vertical line segment of length 8 units in the negative y-direction (-j) from the endpoint of the previous line segment.
The resulting position vector starts at the origin and ends at the point (-9, -8) in the Cartesian coordinate system.
To find the magnitude (or length) of the vector v, we can use the Pythagorean theorem. The magnitude of a vector v = xi + yj in two dimensions is given by
|v| = √(x² + y²)
For v = -9i - 8j, the magnitude is
|v| = √((-9)² + (-8)²)
= √(81 + 64)
= √(145)
≈ 12.04
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URGENT!!! Find the scale factor of △ABC to △DEF. △ABC: BC = 18, AB = 15, AC = 12 △DEF: EF = 12, DE = 10, DF = 8
Rewrite this linear equation in standard form.
y + 5 = 3(x + 3)
Answer:
y+3=3x
Step-by-step explanation:
y+5=3(x+3)
y+5=3x+9
y+3=3x
Which FAR Part 77 imaginary surface has slopes that may range from 20:1 to 50:1?
The primary surface
The horizontal surface
The approach surface
The conical surface
The conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1. The FAR Part 77 imaginary surface that has slopes that may range from 20:1 to 50:1 is the conical surface.
The conical surface is a three-dimensional surface defined by a combination of horizontal and inclined planes. It extends upward and outward from the end of the primary surface and has varying slope requirements. The slope of the conical surface represents the ratio of the change in elevation to the horizontal distance. A slope of 20:1 indicates that for every 20 units of horizontal distance, there is a 1-unit increase in elevation.
Similarly, a slope of 50:1 means that for every 50 units of horizontal distance, there is a 1-unit increase in elevation. Therefore, the conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1.
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50 points!!!
7. Write and solve an inequality for the value of x.
The value of x must be between -18 and -6. The solution has been obtained using Triangle inequality theorem.
What is Triangle inequality theorem?
The triangle inequality theorem explains how a triangle's three sides interact with one another. This theorem states that the sum of the lengths of any triangle's two sides is always greater than the length of the triangle's third side. In other words, the shortest distance between any two different points is always a straight line, according to this theorem.
We are given three sides of a triangle as 8, 6 and x+20
Using Triangle inequality theorem,
⇒8+6 > x+20
⇒14 > x+20
⇒-6 > x
Also,
⇒x+20+6 > 8
⇒x+26 > 8
⇒x > -18
Also,
⇒x+20+8 > 6
⇒x+28 > 6
⇒x > -22
From the above explanation it can be concluded that x is less than -6 but greater than -22 and -18.
This means that x must lie between -18 and -6.
Hence, the value of x must be between -18 and -6.
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Question 1 Consider the Markov chain whose transition probability matrix is: P= ⎝
⎛
0
0
0
3
1
1
0
0
0
0
3
1
0
2
1
1
0
0
3
1
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
1
0
0
0
2
1
⎠
⎞
(a) Classify the states {0,1,2,3,4,5} into classes. (b) Identify the recurrent and transient classes of (a).
A. Class 1: {0,1,2}Class 2: {3,4,5}
B. it is recurrent.
Using the definition of communication classes, we can see that states {0,1,2} form a class since they communicate with each other but not with any other state. Similarly, states {3,4,5} form another class since they communicate with each other but not with any other state.
Therefore, the classes are:
Class 1: {0,1,2}
Class 2: {3,4,5}
(b)
Within Class 1, all states communicate with each other so it is a closed communicating class. Therefore, it is recurrent.
Within Class 2, all states communicate with each other so it is a closed communicating class. Therefore, it is recurrent.
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Over the past 4 years, a customer's fixed income portfolio value has dropped by 5%. During the same period, the Consumer Price Index has dropped by 2%. Based on these facts, which statement is TRUE?
The statement that is TRUE based on the given facts is that the customer's fixed income portfolio has experienced a greater decline in value than the decrease in the Consumer Price Index (CPI).
To elaborate, the customer's fixed income portfolio has dropped by 5% over the past 4 years. This means that the value of their portfolio has decreased by 5% compared to its initial value. On the other hand, the Consumer Price Index (CPI) has dropped by 2% during the same period. The CPI is a measure of inflation and represents the average change in prices of goods and services.
Since the customer's portfolio has experienced a decline of 5%, which is larger than the 2% drop in the CPI, it indicates that the value of their portfolio has decreased at a higher rate than the general decrease in prices. In other words, the purchasing power of their portfolio has been eroded to a greater extent than the overall decrease in the cost of goods and services measured by the CPI.
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