solve the problem. in terms of effective interest rate, order the following nominal rate investments from lowest to highest: i 4.87% compounded quarterly ii 4.85% compounded monthly iii 4.81% compounded daily (365 days) iv 4.79% compounded continuously ii, iii, iv, i iv, iii, ii, i iii, iv, i, ii i, ii, iii, iv
Answers
The nominal rate investment ranges from 4.90%, 4.92%, 4.95%, and 4.96%.
Part (c), or IV, III, II, and I, is therefore the right response to the question.
We must now determine the effective interest rate \(R_{e}\) , we'll use the formula:-
\(R_{e} = (1 + i)^{k} - 1\)
where, i = r / k
Here,
r = interest rate,
I = the nominal interest rate,
k = is the number of times that interest is compounded annually.
(i) 4.87% compounded quarterly
Then i = (4.87 / 100) * 4 =
i = 0.0487 * 4 = 0.012
So, \(R_{e}\) = (1 + 0.012)⁴ - 1
\(R_{e}\) = 0.0496 = 4.96 %
Therefore, the effective Interest Rate = 4.96%
(ii) 4.85% compounded monthly
Then i = (4.85 / 100) * 12
i = 0.0485 * 12 = 0.0040
So, \(R_{e}\) = (1 + 0.0040)⁴ - 1
\(R_{e}\) =0.04959 = 4.95 %
(iii) 4.81% compounded daily (365 days)
Then i = (4.81 / 100) * 365
i = 0.0481 * 365 = 0.00013
So, \(R_{e}\) = (1 + 0.00013)⁴ - 1
\(R_{e}\) = 0.0492 = 4.92 %
(iv) 4.79% compounded continuously
Then i = (4.79 / 100)
i = 0.0479
So, \(R_{e}\) = (1 + 0.0479)⁴ - 1
\(R_{e}\) = 0.0490 = 4.90 %
Therefore, the nominal rate investment is as follows: 4.90%, 4.92%, 4.95%, and 4.96%.
The right response to the question is section (c), which is IV, III, II, and I.
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Related Questions
Select the correct answer from each drop-down menu. How many solutions does each polynomial have? Equation Number of Solutions y = - 6 x − 9 y = 2 x 5 − x 4 + 2 x 3 − 6 x 2 + 2 x + 4 y = - 4 x 3 − 10 x 2 + 7 x + 5
Answers
Answer:
1
5
3
in order
Step-by-step explanation:
First, note that the degree of a polynomial is the value of the highest exponent in the polynomial
There will be as many solutions as there are degrees
1. - 6x − 9y = 2 has degree 1 since x == x¹ so 1 solution
2. \(2x^5-x^4+2x^3-6x^2+2x\:+\:4=0\) has degree 5 so 5 solutions
3. \(-4x^3 - 10x^2+7x+5\) has degree 3 so 3 solutions
juanita is evaluating four television brands using four criteria: price, quality, screen size, and features. Juanita assigns 20% importance to price, 30% importance to quality, 30% importance to screen size, and 20% importance to features. She rates the TV brands as follows:Samsung:Price (20%): 5Quality (30%): 8Screen Size (30%): 8Features (20%):9Sony: Price (20%): 4Quality (30%): 8Screen Size (30%): 8Features (20%): 9LG:Price (20%): 8Quality (30%): 6Screen Size (30%): 6Features (20%): 5Vizio:Price (20%): 9Quality (30%): 5Screen Size (30%): 4Features (20%): 4Based on the multi-attribute model, which television brand does Juanita prefer?
Answers
Junita prefers Samsung Television brand with score of 7.6. A multi-attribute model is a way of evaluating products or services based on multiple attributes or characteristics.
In this scenario, Juanita is evaluating four television brands based on four criteria: price, quality, screen size, and features. She assigns a weight to each criteria, indicating its importance to her, with price having 20% importance, quality having 30% importance, screen size having 30% importance, and features having 20% importance. She then rates each brand on each criteria and calculates an overall score for each brand using the weights and ratings. Based on her evaluations, Juanita prefers the Samsung brand as it has the highest overall score.
Based on the multi-attribute model, Juanita prefers the Samsung television brand. Here's the calculation:
Samsung: \(5 *0.20 + 8 * 0.30 + 8 *0.30 + 9 * 0.20 = 1 + 2.4 + 2.4 + 1.8 = 7.6\)
Sony: \(4 * 0.20 + 8 * 0.30 + 8 * 0.30 + 9 * 0.20 = 0.8 + 2.4 + 2.4 + 1.8 = 7.4\)
LG: \(8 *0.20 + 6 *0.30 + 6 * 0.30 + 5 * 0.20 = 1.6 + 1.8 + 1.8 + 1 = 6.2\)
Vizio: \(9 * 0.20 + 5 * 0.30 + 4 * 0.30 + 4 * 0.20 = 1.8 + 1.5 + 1.2 + 0.8 = 5.3\)
Juanita prefers the Samsung television brand with a score of 7.6 compared to the other brands.
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Evaluate 1/5÷21/5 Give your answer as a mixed number in its simplest form.
Answers
Answer:
the answer is: 1/21 !!
ANSWER
1/5 ÷ 21/5
= 1/5 × 5/21
= 1/21
= 0/1/21
Therefore my answer is 0 whole number 1/21
Which statement compares the two numbers correctly?
Six hundred seventy-two thousandths ________ 0.8
Six hundred seventy-two thousandths < 0.8
0.8 < six hundred seventy-two thousandths
Six hundred seventy-two thousandths = 0.8
Six hundred seventy-two thousandths > 0.8
Answers
Answer:
A
Step-by-step explanation:
Six hundred seventy-two thousandths < 0.8
whats the answer can someone answer please
Answers
Answer:
21. 2x + 28
22. 18a - 17b
23. He flipped the numerator and denominator, 6.4 with 7.2 and he added the exponents instead of subtracting.
24. 8.8888888888889 × 10^{0}
Step-by-step explanation:
Is this a right triangle?
25 cm, 23 cm, and 14 cm.
O YES
O NO
Answers
Answer:
no
Step-by-step explanation:
I need this answer as soon as possible! 50 points!
Answers
\(20^{\tfrac 52}\\\\=(20^5)^{\tfrac 12}\\\\=\left(20^4 \cdot 20 \right)^{\tfrac 12}\\\\=20^{\tfrac 42} \cdot 20^{\tfrac 12}\\\\=20^2 \sqrt{20}\\\\=400\sqrt{4 \times 5}\\\\=400 \times 2\sqrt 5\\\\=800\sqrt 5\)
Answer:
\(800\sqrt{5}\)
Step-by-step explanation:
Given: \(\large (20)^\text{$ \dfrac{5}{2} $}\)
Properties of Exponents:
Rational Exponent Property: \(\large x^\text{$ \dfrac{m}{n} $} = \large \text{$ \sqrt[n]{x^m} $}\)
a number raised to a fraction, can be converted to a radical. the numerator becomes the exponent, and the denominator becomes the index of the radical.Product of Powers Property:
when multiplying powers with the same base, add the exponents.1. Convert into a radical:
\(\sqrt[2]{20^5} \implies \sqrt{20^5}\)
2. Simplify the expression:
\(\sqrt{20^2\times20^2\times20^1}\\\\\implies \sqrt{20^4\times20}\\\\\implies 20^2\sqrt{20}\\\\\implies 20^2\sqrt{4\times5}\\\\\implies 20^2\times2\sqrt{5}\)
3. Evaluate the power:
\(20\times20\times2\sqrt{5}\\\\\implies 400\times2\sqrt{5}\)
4. Multiply:
\((400\times2)\sqrt{5}\\\\\implies800\sqrt{5}\)
Nationwide, the mean value of farm land per acre is $2200, with a standard deviation of $400. The data has a bell-shaped distribution. Assume that a random sample of 80 farms is selected. Use the Empirical Rule to estimate the expected number of farms in the sample whose land value per acre is between $1800 and $2600. Round to the nearest whole number. Group of answer choices a.54 b.76 c.79 d.68
Answers
we get the expected number of farms in the sample whose land value per acre is between $1800 and $2600 is 59.
The Empirical Rule (or 3 sigma rule) states that for a normal distribution (bell shaped distribution) 68% of the data falls within one standard deviation (μ ± σ), 95% percent within two standard deviations (μ ± 2σ), and 99.7% within three standard deviations from the mean (μ ± 3σ).
Given that the mean (μ) = $2200, standard deviation (σ) = $400
a) The percentage of data within one standard deviation = μ ± σ = (2200 ± 400) = (1800, 2600)
Hence 68% of the land are between $1800 and $2600.
Number of farms = 68% × number of sample = 0.68 × 80 = 54.4 ≈ 54 farms
Hence we get the expected number of farms in the sample whose land value per acre is between $1800 and $2600 is 59.
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solve 5x-2+x=-20 ( Adding this to just make the 20 character requirement.)
Answers
Answer:
x= -3
Step-by-step explanation:
\(\text{Hello there! :)}\)
\(\large\boxed{x = -3}\)
\(5x - 2 + x = -20\\\\\text{Combine like terms:}\\\\5x + x - 2 = -20\\\\6x - 2 = -20\\\\\text{Add 2 to both sides:}\\\\6x - 2 + 2 = -20 + 2\\\\6x = -18\\\\\text{Divide both sides by 6:}\\\\6x / 6 = -18/6\\\\x = -3\)
Answer the following questions
WILL GIVE BRAINLIEST
Answers
For the following graph, it is found that:
It represents a function, as it value of x is mapped to only one value of y.The inverse is a function, as the graph is one-to-one, that is, each value of y is mapped to only one value of x.When does a graph represents a function?A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.
For the graph in this problem, the statement is true, hence the graph is a function.
Is the inverse a function?The inverse of a graph will be a function if the original function is one-to-one, that is, each value of y is mapped to only one value of x, meaning that the graph has no horizontally aligned points.
This is also true for this function, hence the inverse is a function.
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can someone help me understand this problem?
Answers
Hello!
a. 10
b. 1
c. -11
To evaluate f(x) at a certain x, you simply substitute that value of x into the equation for x.
For example:
a. f(x) = 2x, find f(5)
Plug in 5 for x into f(x):
f(5) = 2(5) = 10.
b. f(x) = 4x + 5, find f(-1)
f(-1) = 4(-1) + 5 = 1
c. f(x) = -3x - 5, find f(2)
f(2) = -3(2) - 5 = -11
What is the slope of the line that contains these points?x 15,17,19,21 y -10,2,14,26
Answers
Answer:
6
Step-by-step explanation:
The slope (m) can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
Any pair of points will do. We can use the first two.
m = (2 -(-10))/(17 -15) = 12/2
m = 6
The slope of the line is 6.
Answer: 6
Step-by-step explanation:
(3, 4, 5, ...} is finite or infinite
Answers
The given set is (3, 4, 5, ...} is infinite set.
A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.
The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.
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find the product 3/8 x 2 help plz
Answers
Answer:
3/4
Step-by-step explanation:
hope this helps. I have to wrote this random think so it can be 20 characters hope this helps enjoy
The ratio of faculty members to students at a college is 1:60. There are
1,220 students. Approximately how many faculty members are there?
Answers
Answer:
either 20 or 21
Step-by-step explanation:
i think you just cross multiply like 1/60=x/1220
x=20.3 but you cant have part of a faculty member, so i believe its 20
(=^w^=)
HELP PLEASEEEEEE!!!!!!!! ILL MARK AS BRAINLIEST
Answers
A horizontal line with evenly spaced numerical increments is referred to as a number line.
\($-1 \frac{3}{4}$\) is located at point -1.
1.125 is located at point 1.
\($\frac{14}{8}$\) is located at point 1 < x < 2.
What is meant by number line?A number line is a diagram of a graduated straight line used to represent real numbers in introductory mathematics. It exists assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.
A horizontal line with evenly spaced numerical increments exists directed to as a number line. How the number on the line can be answered depends on the numbers present. The utilize of the number exists defied by the question that it corresponds to, such as when graphing a point.
\($-1 \frac{3}{4}$\) is located at point -1.
1.125 is located at point 1.
\($\frac{14}{8}$\) is located at point 1 < x < 2.
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1) -3 /4 is located at the point - 1
2).14/ 8 is located at point 1.
3) 1.125 is located at after 1.
What exactly is a number line?In basic mathematics, real numbers are represented by a number line, a representation of a graduated straight line. The presumption is that each point on a number line represents a real number, and that each real number represents a point.
There is something known as a number line, which is a horizontal line with uniformly spaced numerical increments. The numbers available determine how to respond to the number on the line. The number can be used in ways that defy the question it answers, such as when graphing a point.
1) -3 /4 is located at the point - 1
2).14/ 8 is located at point 1.
3) 1.125 is located at after 1.
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. Where is the vertex of the graph that represents y=(x−2)2−8 ? Type the answers in the boxes below. ( , ) b. Where is the y -intercept? Type the answers in the boxes below.
Answers
The vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.
Given equation :
y=(x−2)2−8
y = 2x - 4 - 8
= 2x - 12
The final equation is y = 2x - 12.
Compare this equation with slope and y-intercept formula :
y = mx+c
So that c = -12
The value of y-intercept according to the solution is -12.
To find the vertex. Let's assume x=0; Substitute in the equation
y = 2(0) -12
y = -12
The first vertex will be (0, -12)
If x = 1; y = 2(1) -12
y = -10
Then the second vertex will be (1, -10).
Hence, the vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.
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s f(x) = (x)+ 3 and g(x) = 3* - 5,
Answers
Answer:
x = -3
Step-by-step explanation:
Help please I’m struggling
Answers
In this picture provided, x appears to be less than three. Because it is in absolute value form, any number substituted for x is positive. This means that the numbers 3, 2, 1, and 0 are all answers to part B.
In the second graph of part B, x is greater than or equal to 3. This would mean any number that is 3 or more would be a solution.
Galen sold tickets for his church’s carnival for a total of $2,820. Children’s tickets cost $3 each and adult tickets cost $5 each. The number of children's tickets sold was 30 more than 3 times the number of adult tickets sold. How many children’s tickets and how many adult tickets did he sell?
Answers
Answer:
a = 195 ; c = 615
Step-by-step explanation:
So, you want to start by forming your equations...
I will use 'c' for children and 'a' for adults for my variables
3a + 30 = c
(this is because of the info that 30 more tickets than 3 times the amount of children's were sold than adult)
then for equation 2:
3c + 5a = 2820
(this is because of the prices of the tickets and the total money raised)
Then, plug in the equation for c
Your equation should look like:
3(3a + 30) + 5a = 2820
You get:
(9a +90) + 5a = 2820
Then:
14a = 2730
So:
a = 195 adult tickets sold
Plug in a, to find c:
3 (195) + 30 = c
585 + 30 = c
c = 615 children tickets sold
Write 0.000000624 in scientific notation
Answers
Answer:
6.24 x \(10^{-7}\)
Step-by-step explanation:
0.000000624 in scientific notation is 6.24 x \(10^{-7}\)
Answer:
Step-by-step explanation:
The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.
Solve |5x - 1| < 1
please help
Answers
Answer:
|5x - 1| < 1
-1 < 5x - 1 < 1
0 < 5x < 2
0 < x < 2/5
a farmer has 47 eggs.He packs 6 eggs in each box. How many egg boxes does he need to packall the eggs?
Answers
We need to divide up 47 eggs into boxes of 6. Therefore, we are doing a division problem.
6 x 7 = 42
42 is as close as we can get to 47 without going over. So, at this point, we need 7 boxes.
BUT - There are 5 eggs left without a box. We cannot have part of a box either. Therefore, we need to add in another box.
7 + 1 = 8
He needs 8 boxes to pack all the eggs.
Hope this helps!
Answ
Step-by-step explanation:
17 boxes 47 divided by six so it is 17 boxes hope it helps:)
Identify the coordinates for point D Awnser. Fast!
Answers
i hope it’s correct!
Answer:
(1,1.5)
Step-by-step explanation:
x = 1
y = 1.5
Can u please help me with 3&4 I’m giving 20 point please help me
Answers
Answer:
Step-by-step explanation:
find the value of p in parallelogram
Answers
Answer:
p = 11
Step-by-step explanation:
In a parallelogram BA and CD are parallel so you would set the problem up 7p = p +66
- p both sides
6p = 66
divide 6 both sides
p = 11
Use the information given to find a convenient dass width. Then list the class boundaries that can be used to create a relative frequency histogram. (Round your class with up to the nearest multiple of 5. Use the minimum value as the smallest class boundary. Enter your class boundaries as a comma separated list.)
8 classes for 75 measurements; minimum value-20; maximum value = 175
class width
class boundaries
Answers
Answer:
a)
Class width = 19.375
b)
Class Boundaries are;
19.5 - 39.5, 39.5 - 59.5, 59.5 - 79.5, 79.5 - 99.5, 99.5 - 119.5, 119.5 - 139.5, 139.5 - 159.5, 159.5 - 179.5.
Step-by-step explanation:
Given the data in the question;
Class width = Range / Number of classes
Range = maximum - minimum = 175 - 20 = 155
Number of classes = 8
so,
Class width = 155 / 8 = 19.375
∴ the class limits will be
20 - 39
40 - 59
60 - 79
80 - 99
100 - 119
120 - 139
140 - 159
160 - 179
Low class boundary = Lower class limit - 0.5
Upper class boundary = upper class limit + 0.5
so
Class Boundaries are;
19.5 - 39.5, 39.5 - 59.5, 59.5 - 79.5, 79.5 - 99.5, 99.5 - 119.5, 119.5 - 139.5, 139.5 - 159.5, 159.5 - 179.5.
Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 3(x - 5)^2 + 2.
Describe in words the transformations of the graph of the parent function f(x) = x2 that
would result in the graph of
g(x) = 1/3(x + 6)^2- 4.
Answers
2. The transformations are given as follows:
Vertical stretch by a factor of 3.Translation right 5 units.Translation up 2 units.3. The transformations are given as follows:
Vertical compression by a factor of 3.Translation left 6 units.Translation down 4 units.How to define the transformations?For item 2, the transformations in this problem are given as follows:
Vertical stretch by a factor of 3, due to the multiplication by 3.Translation right 5 units, as x -> x - 5.Translation up 2 units, as y -> y + 2.For item 3, the transformations are given as follows:
Vertical compression by a factor of 3, due to the multiplication by 1/3.Translation left 6 units, as x -> x + 6.Translation down 4 units, as y -> y - 4.More can be learned about translations at brainly.com/question/28174785
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which answer is true
Answers
Answer:
0.2 < 20%
Step-by-step explanation:
6 devide by 7.3 so what is the answer
Answers
Answer:
0.82
step-by-step explanation: