The geometric mean return of the given data set is 0.02.
The geometric mean return measures the compound rate of return over a period of time. It is calculated by taking the product of all the returns and then taking the nth root of the product, where n is the number of returns.
Formula: GMR = ((1+r1)(1+r2)…(1+rn))^1/n – 1
In this case, the data set is as follows:
r1 = 0.05
r2 = 0.03
r3 = -0.02
Using the formula above, the geometric mean return is calculated as:
GMR = ((1+0.05)(1+0.03)(1-0.02))^1/3 - 1
GMR = ((1.05)(1.03)(0.98))^1/3 - 1
GMR = (1.1394)^1/3 - 1
GMR = 0.0204
Therefore, the geometric mean return of the given data set is 0.02.
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What are the 7 stages of problem-solving?
The 7 stages of problem-solving are a widely recognized framework for approaching and solving problems. The stages include identifying the problem, collecting information, developing the possible solutions, evaluating those solutions, choosing a solution, implementing it and evaluating the results.
Identifying the problem: This involves clearly defining and understanding the problem, including its scope and the factors that contribute to it.
Gathering information: This involves researching and collecting data to better understand the problem and potential solutions.
Developing possible solutions: This involves generating a list of potential solutions to the problem, including both traditional and creative options.
Evaluating possible solutions: This involves analysing each potential solution to determine its feasibility and potential impact.
Choosing a solution: This involves selecting the best solution based on the evaluation in the previous stage.
Implementing the solution: This involves putting the chosen solution into action, including any necessary planning and preparation.
Evaluating the results: This involves monitoring and assessing the effectiveness of the solution and making any necessary adjustments.
It's important to note that the problem-solving process is not always linear, and it's possible to move back and forth between the stages as new information is gathered or new issues arise. Additionally, it's important to be flexible and open-minded throughout the problem-solving process to consider different possibilities.
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f(x)=4x-3 find f-1(x)
Answer:
3 x −3
Step-by-step explanation:
Use the given functions to set up and simplify f−x.
Malik uses an app on his phone to track how far he rides his bike. Yesterday, he biked a new trail in a total of 57.5 minutes, including a 2.5-minute water break. The app notified Malik that he rode 10 miles. What was Malik's average pace while biking?
The average pace of Malik is 0.182 mile per minute.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
Given that,
Distance Malik rode on a trail = 10 miles
Malik biked a new trail in a total of 57.5 minutes.
But he took 2.5 minutes as water break.
Total time Malik took to cover the distance = 57.5 minutes - 2.5 minutes
= 55 minutes
We have to calculate the average pace of Malik which is actually the speed.
Speed = Distance / Time
= 10 miles / 55 minutes
= 0.182 mile per minute
Hence Malik rides in an average pace of 0.182 mile per minute.
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What is five point six as a fraction?
Answer: 28/5
Step-by-step explanation:
5.6/1x10/10= 56/10
56/10=28/5
help asap yall
What is the solution for x2 + 4x > 77?
x < –7 or x > 11
x < –11 or x > 7
–7 < x < 11
–11 < x < 7
Answer:
x <−11 or x >7
Step-by-step explanation:
Answer:
x < –11 or x > 7p
explanation:
I got it right on the test.
Find the area of the floor of a quare room in quare meter whoe each ide i 800 cm
The area of the floor of a square room in square meter whose each side is 800 cm is 640000 cm ^ 2.
The area of a square or square shaped figures is:
area = side x side or (side) ^2
The length of the side of the floor of the given square room is:
800 cm
Therefore, area of the floor of the given square room is:
800 cm x 800 cm = 640000 cm ^ 2.
Thus, the area of the floor of the given square room in square meter whose each side is 800 cm is 640000 cm ^ 2.
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Under a dilation centered at the origin, the point (-4,3) has image at (8, -6).
What is the scale factor of the dilation?
Answer:
The scale factor is 3. Step-by-step
Step-by-step explanation:
n electrician invested $9,000 in an investment account paying 2.45% interest compounded semiannually. After 30 years, the value of the account will have a balance of $18,685.71. If the electrician's investment was compounded continuously instead of twice per year, what would be the difference in the account balance after 30 years?
$42.03
$80.38
$83.63
$165.55
The difference in the account balance after 30 years if the electrician's investment was compounded continuously instead of twice per year would be $83.63.
What is value?Value is the worth of something that is measured in terms of its quality, importance, and usefulness. It is a fundamental concept in economics, finance, and business, as it reflects the perceived benefits of a good or service compared to its cost. Value can be subjective, as it is often based on personal opinion or preference. It can also be quantified and measured in terms of money, time, or resources.
Compound interest is the concept of earning interest on the initial principal and any interest previously earned. When the interest is compounded continuously, the interest is added to the principal more frequently than when it is compounded semiannually, resulting in a larger final balance.
The electrician's initial investment of $9,000 compounded semiannually at 2.45% for 30 years would have a balance of $18,685.71.
However, if the same investment had been compounded continuously at 2.45%, the balance after 30 years would be $18,769.34, which is $83.63 more than the semiannually compounded balance.
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Answer:
$83.63
Step-by-step explanation:
The rest are wrong.
the table below shows the number of cap and salmon in 3 different lakes. for each lake write the ratio of carp to salmon in the from 1:n. put the lakes in ascending order on the proportion of fish that sre salmon
carp | salmon
---------------------
lake a | 15 | 48
lake b| 35 | 7
lake c | 9 | 30
The ratio of carp to salmon for each lake is given as follows:
Lake a: 1 : 3.2.Lake b: 1 : 0.2.Lake c: 1: 3.33.
Then the ascending order on the proportion of fish that are salmon is given as follows:
Lake b, Lake c, Lake c.
How to obtain the ratios?The ratio of an amount A over an amount B is obtained applying the proportion of these amounts, that is, the division of A by B.
The ratios of carp to salmon, in the form 1:n, are obtained considering that n is the division of the number of salmon by the number of carp, hence:
Lake a: n = 48/15 = 3.2.Lake b: n = 7/35 = 0.2.Lake c: n = 30/9 = 3.33.The higher rates of salmon have the higher values of n, thus the ascending order of the proportion of fish that are salmon is given as follows:
Lake b, Lake c, Lake c.
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is 333 is in the sequence 2,5,8,11,14...why
Question 3
Suppose you take a trip that covers 147.4 km and takes 8.6 hours.
What is your average speed (km/h)?
Question 4
1 pts
1 pts
Answer:
17.13953 mph
I just did it these ways with a speed calculator
Step-by-step explanation:
Jake has a shipping box with the following dimensions.
length: 12 inches
width: 4 inches
height: 8 inches
Havana has a shipping box similar to Jake's box, but each dimension is half as long.
How many times greater is the volume of Jake's box than Havana's box?
Jake's box is 8 times greater than Havana's box.
What is the volume of the cuboid?The volume of a cuboid is found by multiplying the length by the breadth by the height.
Given here: Two boxes Jake's and Havana's with Havana's box with dimensions half of Jake's
Therefore the ratio of the volume is = 12× 4 ×8 /6× 2× 4
=8
Hence, ake's box is 8 times greater than Havana's box.
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i need some help. please help me
Answer:
HK and GJ is the diameter of circle L.
Step-by-step explanation:
Answer:
Either GJ or HK
Step-by-step explanation:
Im not sure if im reading ot correctly bit ye diameter is the full line in the moddle and they both are so it's probably those 2
Rewrite the following equation in slope-intercept form. 14x − y = –15
y = 14x + 15 would be the slope-intercept form
On a necklace of 150 beads 75 beads are glass and 78 are ceramic what percent of beads are glass
Answer:
Doesn't make sense but with the information given. To find the percentage of glass beads on the necklace, you need to divide the number of glass beads by the total number of beads and multiply by 100.
You can use the formula:
percent = (number of glass beads / total number of beads) x 100
In this case:
percent = (75 / 150) x 100 = 0.5 x 100 = 50
So, 50% of the beads on the necklace are glass.
plssss i’ll give points
The equation of this perpendicular line is Y=-4x+15
What is perpendicular line ?
In elementary geometry, two geometric objects are perpendicular if they intersect at a right angle. The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂. It can be defined between two lines, between a line and a plane, and between two planes.Lines that intersect each other forming a right angle are called perpendicular lines. Example: the steps of a straight ladder; the opposite sides of a rectangle.A perpendicular line is a straight line through a point. It makes an angle of 90 degrees with a particular point through which the line passes. Coordinates and line equation is the prerequisite to finding out the perpendicular line.the equation is : y = ax+bthe slope is a : a×(1/4) = -1......( perpendicular to a line with a slope of 1/4) becausey=x/4 -2 means y = (1/4)x -2... the slope is : 1/4but : a×(1/4) = -1 so : a = - 4 y= - 4x+bthe line that passes through (4, -1)-1 =-4(4)+bb = 15the equation is : y = - 4x+15To learn more about perpendicular line refers to:
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How do you tell if a graph is exponential growth or decay?
To tell if a log graph is a growth or decaying, look at the slope of the line. If the slope is positive, then it is growth; if the slope is negative, then it is decay.
A positive slope indicates that the value is increasing over time, while a negative slope indicates that the value is decreasing over time. To find the slope, take two points on the line and calculate the change in the y-value divided by the change in the x-value.
If the answer is positive, the graph is growth; if the answer is negative, the graph is decay. Additionally, you can look at the y-intercept of the graph, which is the value where the line meets the y-axis. If the y-intercept is positive, the graph is growth; if the y-intercept is negative, the graph is decay.
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What alternate for of genes do nucleic acids have that allows them to offer variability?
Nucleic acids offer variability through their ability to undergo mutations.
What is mutation?Mutation is a process in which a gene or organism undergoes a change in its DNA sequence, resulting in a new trait or altered function. Mutations can occur naturally or be induced by environmental factors such as radiation, chemicals, or viruses. Mutations can be beneficial, harmful, or have no effect on the organism. Some mutations can cause genetic disorders or even cancer.
Mutations are changes in the sequence of nucleotides that make up a gene, resulting in a different form of the gene. These mutations can lead to different traits in the organism, providing a greater range of variability in the gene pool. Mutations can be caused by environmental factors such as radiation or chemicals, as well as random changes that occur as DNA is replicated. The range of variability offered by mutations is one of the main reasons why organisms are able to adapt to their environment.
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Help
Directions: Identify the binomial factors of the following trinomials.
1. x2 + 9x + 20
2. x2 + 7x + 12
3. x2 + 8x + 15
4. x2 + 7x + 12
5. x2 + 11x + 10
6. x2 + 7x + 6
7. x2 + 5x + 4
8. x2 + 10x + 21
9. x2 + 10x + 16
10. x2 + 10x + 9
11. x2 + 12x + 20
12. x2 + 15x + 14
13. x2 + 13x + 42
14. x2 + 9x + 18
15. x2 + 16x + 60
Answer:
1. x= -1 & x= -13
2. x= -3 & x= -4
3. x= -3 & x= -5
4. x= -6 & x= -2
5. x= -5 & x= -2
8. x= -7 & x= -3
9. x= -8 & x= -2
10. x= -3 & x= -3
11. x= -5 & x= -4
12. x= -2 & x= -2
13. x= -6 & x= -7
14. x= -6 & x= -3
15. x= -10 & x= -7
Step-by-step explanation:
hope this help :)
What are the 3 coordinates?
The three types of co-ordinates are:
(i) Cartesian co-ordinates
(ii) cylindrical co-ordinates
(iii) spherical co-ordinates
Which coordinate system is used?Three digits are used to indicate distances in the three-dimensional flat space of the Cartesian coordinate system, often known as the "rectangular coordinate system." The East/West direction, North/South direction, and Elevation are represented by the first two digits, respectively.
The Cartesian coordinate system is a prime example of a coordinate system. Two perpendicular lines are picked in the plane, and a point's coordinates are assumed to be the signed distances between the lines.
So, three types of co-ordinates are:
(i) Cartesian co-ordinates
(ii) cylindrical co-ordinates
(iii) spherical co-ordinates
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when f(x) = 6x² - 2x - 5, evaluate f(-2)
Answer:
23
Step-by-step explanation:
Given Information:
f(x) = 6x² - 2x - 5If we have to evaluate f(-2), we can consider that f(x) = f(-2) = 6x²- 2x - 5.
So, if f(x) = f(-2), then we have the following solution: x = -2.Now, we can substitute the solution into the quadratic equation and simplify it to its simplest possible form using the solution (x = -2).
⇒ f(-2) = 6x² - 2x - 5 ⇒ f(-2) = 6(-2)² - 2(-2) - 5 ⇒ f(-2) = 6(-2)(-2) - 2(-2) - 5 ⇒ f(-2) = 6(4) + 2(2) - 5 ⇒ f(-2) = 24 + 4 - 5 ⇒ f(-2) = 24 - 1 = 23Therefore, the evaluated form for f(-2) is 23.
diagnosis codes are required to explain the ________ for the services provided.
Answer:
medical necessity
which of the representations define a function? SELECT TWO THAT APPLY. Explain why you chose those answers, I will mark you brainliest.
What does the factored form of a quadratic equation tell you?
What does factored form of an equation mean?Factored form, the result of combining two linear terms with a constant: or. The roots of the function are the parameters and (the x-intercepts of the graph ). The process of factoring involves reducing a quadratic function to its factored form. The polynomial can be expressed as the product of its linear elements by factoring quadratics. It is a method that enables us to locate the roots of quadratic expressions, simplify them, and solve equations. A parenthesized algebraic expression is a factored form. A factored form is essentially a sum of products of sums or a product of sums of products of sums. Any factored form can serve as a representation for any logic function, and every factored form serves as a representation for some logic function.
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ABC and XYZ are similar. Find the missing side length.
Hello there!
∆ABC and ∆XYZ are simular so:
[tex] \displaystyle \frac{AB}{XY} = \frac{BC}{YZ} = \frac{AC}{XZ} \\ \\ \frac{2}{10} = \frac{5}{25} = \frac{AC}{20} \\ \\ \frac{1}{5} = \frac{1}{5} = \frac{AC}{20} \\ \\ \frac{AC}{20} = \frac{1}{5} \\ \\ AC = \frac{20 \times 1}{5} = 4[/tex]
Answer: 4
Answer:
4
Step-by-step explanation:
We have to find length of AC in ΔABC
Since ΔABC is similar to ΔXYZ, the corresponding sides of ΔABC to the corresponding sides of ΔXYZ should be of similar ratio
Equivalently stated
[tex]\dfrac{AB}{XY} = \dfrac{BC}{YZ} = \dfrac{AC}{XZ}[/tex]
Plugging in known values we get
[tex]\dfrac{AB}{XY} = \dfrac{2}{10} = \dfrac{1}{5}\\\\\dfrac{BC}{YZ} = \dfrac{5}{25} = \dfrac{1}{5}\\[/tex]
Thus we see that the length of each side of ΔABC is one-fifth the length of each corresponding side of ΔXYZ.
So
[tex]AC =\dfrac{1}{5} XZ = \dfrac{1}{5} \cdot 20 = 4[/tex]
in exercises 25-28, three vertices of DEFG are given D(0,2), E(-1,5), G(4,0). Find the coordinates of the missing vertex
The coordinate of F is (3, 3).
What is the formula to find the midpoints?
Diagonals of a parallelogram bisect each other, meaning they divide each other into equal parts.
The formula is used to find the midpoints are as follows;
(x1 + x2)/2, (y1+y2)/2
DF and EG are diagonals of parallelogram DEFG, therefore:
The midpoint of DF = midpoint of E
Then,
The midpoint of D(0, 2) and F(x, y) is:
(0 + x)/2 , (2 + y)/2
The midpoint of E(-1, 5) and G(4, 0) is;
(-1 + 4)/2, (5 + 0)/2
Comparing the equation;
x/2 = 3/2
x = 3
2+y/2= 5/2
y = 3
Hence, the coordinate of F is (3, 3).
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Please help I need the answers ASAP!
Answer:
Refer to the step-by-step
Step-by-step explanation:
Since ∠1 and ∠2 are alternate exterior angles, m∠2=108°
Jesse bought 24 gallons of gas for $45.58. What was the price per gallon?
Answer:
$1.899
Step-by-step explanation:
Divide $45.58 by 24 for the unit price of each gallon
Answer: Approx. $1.899
Step-by-step explanation:
let the price per gallons be G
24G = 45.58
G = 45.58/24 = 1.899
Is 904 divisible by 9?
No , 904 is not divisible by 3 because sum of 9+0+4 =13 which is not divisible by 3 so number 904 is not divisible by 3
There are 301 numbers less than 904 divisible by 3, as per arithmetic progression.
What is an arithmetic progression?
"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."
Let, there are 'n' terms less than 904 divisible by 3.
Now, the first term divisible by 3 is(a) = 3.
The second term divisible by 3 is = 6.
Therefore, the common difference between terms divisible by 3 is(d)
The last term that is less than 904 and divisible by 3 is() 903.
Now, if we compare it with arithmetic progression, then:
The required number is 301.
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Mark bought a new car. The total amount he needs to borrow is $28,716. He plans on taking out a 4-year loan at an APR of 3.12%. What is the monthly payment?
The monthly payment with given simple interest will be $673.
What is simple interest?
Simple Interest is an easy method of calculating the interest for a loan/principal amount. Simple interest is a concept that is used in many sectors such as banking, finance, automobile, and so on. When you make a payment for a loan, first it goes to the monthly interest and the remaining goes towards the principal amount.
Simple interest formula is given as:
SI=P*R*T/100
Where SI = simple interest
P = principal
R = interest rate (in percentage)
T = time duration (in years)
In order to calculate the total amount, the following formula is used:
Amount (A) = Principal (P) + Simple Interest (SI)
Now,
Amount to Borrow=$28716
Rate=3.12%
Time=4 years
SI=28716*3.12*4/100
=$3584
Total amount to pay=28716+3584
=$32300
Hence,
monthly payment for 4 years =32300/48
monthly payment=$673
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