Answer:
Step-by-step explanation:
c
11. suppose the spot rate over a 3-year period is 2.658%, the forward rate for the first year is f0;1 54:5%, and the forward rate for the second year is f1;2 51:5%. what is the forward rate for the third year?
The forward rate for the third year 3.06%
The forward rate is the interest rate applied to future financial transactions. The forward rate is calculated from the spot rate, adjusted for maintenance costs to determine future interest rates that equalize the strategy to extend short-term investments and the total return on long-term investments.
This term can also refer to interest rates charged on future financial obligations, such as interest rates on loan payments.
(n1 – n2) reservation rate calculation number. A few years later n2 no. The number of years of Forward rate = [(1 + S1)n1 / (1 + S2)n2]1/(n1-n2) – 1.
According the question:
S3 = [(1 + S₁) × (1 + F(1,2))²]¹/³ ⁻¹
= [(1 + 2.658%) × (1 + 2.340%)²]¹/³ ⁻¹
= [1.02658 × 11.1556]¹/³ ⁻¹
= (12.18)¹/³ ⁻¹
= 3.06
Therefore, calculation of spot rate for three years will be, 3.06%
Learn more about Forward rate:
https://brainly.com/question/14029507
#SPJ4
Which values are solutions to K-3 >-2? Select two options.
4
Ok=-10
Ok=-7
Ok=-5
Ok=-1
Ok = 0
D
Answer:
The values that are solutions to K-3 >-2 are -7 and -5. To solve this inequality, we need to isolate the K term on one side of the inequality. We can do this by subtracting 3 from both sides of the inequality, like this:
K - 3 > -2
K - 3 - 3 > -2 - 3
K > -5
Therefore, the solutions to the inequality K-3 >-2 are all values of K that are greater than -5. This means that the values -7 and -5 are solutions to the inequality, but the other values listed are not.
Step-by-step explanation:
you are bored at a lunch meeting and decide to place a raisin in your glass of water. the raisin swells to twice its original size. relative to the water, the raisin must have been:
If the raisin swells to twice its original size, relative to the water, the raisin must have been hypertonic solution.
A response that is hypertonic refers to one that has a larger osmotic strain than another arrangement. In the end, a hypertonic arrangement is one in which the concentration of solute particles outside of a layer is greater than that inside.An arrangement that has a higher solute fixation than another arrangement is said to be hypertonic.The inside of a red platelet compared with the solute concentration of fresh water serve as illustrations of a hypertonic arrangement.When two arrangements come into contact, the solute or dissolvable moves until the arrangements reach harmony and are isotonic with one another.To know more about hypertonic check the below link:
https://brainly.com/question/29309024
#SPJ4
I also need this quickly :(
Answer:
Scale factor = 1/2
Step-by-step explanation:
Explanation:
A scale factor is a number you multiply the dimensions of a shape by to get the image. Because figure B has half the length and width, we can conclude the scale factor is 1/2.
can anyone help me I don't know how to do this
Step-by-step explanation:
its me ryan , 15 from michigan . Its just that i needed friends . If you want to be my good friend , please do comment below and we can be real good friends. ?
Evaluate the expression for the given value of the variable. 32 + 1/9t. T = - 1/2
Answer: 32 1/18
Step-by-step explanation: So first, I did 1/9 (-1/2) and I got 1/18. Yes although it was negative, when multiplying, it will become positive, then 1 x 1 is 1, and 9 x 2 is 18. Then, when adding it to 32, you get 32 1/18. I hoped this helped!
g an inverted conical tank has a height of 18 feet and a diameter of 6 feet. water is flowing into the cone at a rate of 24 cubic feet per second. at what rate is the height of the water in the tank increasing when there is 10 feet of water in the tank.
The rate at which the height of the tank is increasing when there is 10 feet of water in the tank is 2.75 ft/sec .
In the question ,
it is given that ,
the height of the conical tank is =18 feet ,
the radius of the tank is = 6/2 = 3 feet .
the rate at which the water is flowing is = 24 cubic feet per second .
that is dv/dt = 24 .
the ratio of height and radius is
h/r = 18/3
h/r = 6
r = h/6
we know that the Volume of Conical tank is = (πr²h)/3
On substituting r = h/6 and differentiating with respect to time "t" ,
we get ,
dv/dt = (π/108)×3×h²×dh/dt
substituting the value of h = 10 and dv/dt = 24 ,
we get ,
24 = (π/108)×3×10²×dh/dt
dh/dt = (24 * 36)/100π
= 2.7501
≈ 2.75 ft/sec .
Therefore , the rate of change of the height of the tank is 2.75 ft/sec .
Learn more about Rate Of Change here
https://brainly.com/question/15695639
#SPJ4
Which ordered pairs represent points on the graph of this equation? Select all that apply.
3X + y = 0
Answer:
Do you have a picture of the graph?
Step-by-step explanation:
If so can you pls insert :)
How do i solve this?
Answer:
7, 14,21 28
4,8,12,16
Step-by-step explanation:
Answer:
8, 21, 16
Step-by-step explanation:
The ratio from sugar to cups is 7:4, which is 1.75.
Divide and multiply to solve.
14 / 1.75 = 8
12 * 1.75 = 21
28 / 1.75 = 16
(2) a test for extrasensory powers (esp) involves asking a person to tell which of 5 shapes (a circle, star, triangle, diamond, or heart) appears on a hidden computer screen. on each trial, the computer is equally likely to select any of the 5 shapes. suppose researchers are testing a person who does not have esp and so is just guessing on each trial. what is the probability that the person guesses the first 4 first shapes incorrectly but gets the fifth correct?
The probability that the person guesses the first 4 first shapes incorrectly but gets the fifth correct is an [tex](\frac{4}{5})^{4}\frac{1}{5}[/tex].
what is probability?The likelihood that something will happen is called the probability. the total number of conceivable outcomes. Because there is only one way to receive a head and there are a total of two possible outcomes, the probability of flipping a coin and getting heads is 1 in 2. (a head or tail).
given,
You can find out if someone has extrasensory perception (ESP) by asking them to identify which of the following shapes—a circle, star, triangle, diamond, or heart—appear on a hidden computer screen.
The probability is determined by dividing the number of favorable outcomes by the total number of possible outcomes.
p= P(win) = # of favorable outcomes / # of possible outcomes
The distribution is geometric since the variable indicates how many trials must pass before a success.
The distribution is geometric since the variable indicates how many trials must pass before a success.
P( X = k ) = [tex]q^{k-1}p[/tex]
= [tex](1-p)^{k-1} p[/tex]
Review at k=5
P(X=5) = [tex](1-\frac{1}{5})^{5-1}\frac{1}{5}[/tex]
=[tex](\frac{4}{5})^{4}\frac{1}{5}[/tex]
probability that the person guesses the first 4 first shapes incorrectly but gets the fifth correct is an [tex](\frac{4}{5})^{4}\frac{1}{5}[/tex]
To know more about probability visit:-
https://brainly.com/question/11234923
#SPJ4
Carly is a catcher on the school softball team. By the end of the season she had played in 45 percent of the 40 games the team played. In how many games did Carly NOT play.
Number of games did Carly NOT play is 22.
How to calculate 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. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
Given:
Total number of games = 40
It is given that she had played in 45 percent of the 40 games the team played.
Number of games she played = 45% of 40
= [tex]\frac{45}{100}\times 40= 18[/tex]
Number of games she did not play = 40 - 18 = 22
Therefore, number of games did Carly NOT play is 22.
To learn more about the percentage from the given link.
https://brainly.com/question/24877689
#SPJ1
Which type of rigid transformation is the equivalent of two reflections across intersecting lines?
according to the question,
given data in the question,
the type of rigid transformation is the equivalent of two across intersecting lines
Rotation is the process of changing the orientation of a shape by mirroring two intersecting line segments.
The intersection of the two reflection lines is the center of rotation.
An isometric drawing is a composite of two isometric drawings. The combination of two reflections on two parallel lines corresponds to translation.
The configuration of the two reflections is either translational or rotational. A translation occurs when a reflection is followed by a parallel reflection. Reflections following reflections from intersecting lines cause rotation
To know more about rotation visit
https://brainly.com/question/6202925
#SPJ1
The type of transformation that is equivalent to 2 reflections across intersecting lines is rotation
Which transformation is equivalent to a double reflection over parallel lines?A slide or a shift is a translation. By executing two composite reflections along parallel lines, translations may be produced. Translations maintain orientation and are isometric.
Which type of isometry is the equivalent of two reflections in parallel lines?An isometry is made up of two other isometries. The translation is equal to the combination of two reflections over two parallel lines.
according to the question,
the type of rigid transformation is the equivalent of two across intersecting lines
Rotation is the process of changing the orientation of a shape by mirroring two intersecting line segments.
The intersection of the two reflection lines is the center of rotation.
An isometric drawing is a composite of two isometric drawings. The combination of two reflections on two parallel lines corresponds to translation.
The configuration of the two reflections is either translational or rotational. A translation occurs when a reflection is followed by a parallel reflection. Reflections following reflections from intersecting lines cause rotation
To know more about rotation visit:-
https://brainly.com/question/26249005
#SPJ4
What is the length of DE?
Answer:
6.3
Step-by-step explanation:
Suppose IQ scores were obtained for randomly selected sets of . The pairs of measurements yield , , r , P-value 0.000, and , where x represents the IQ score of the . Find the best predicted value of given that the has an IQ of ?
Use a significance level of 0.05. 20 siblings 20 x=99.42 y=97.2 =0.867 = = −21.33+1.19x y older child y older child 97 Click the icon to view the critical values of the Pearson correlation coefficient r.1 The best predicted value of is . y (Round to two decimal places as needed.) Critical Values of the Pearson Correlation Coefficient r n 0.05 α = 0.01 α = NOTE: To test H0 : 0 against H1: 0, reject H0 if the absolute value of r is greater than the critical value in the table. rho= rho≠4 0.950 0.990 5 0.878 0.959 6 0.811 0.917
The best predicted value given that a person has an IQ of 91 is 94.03.
Here, we are given that-
sample size n = 20
sample mean for the independent value x = 100.39
sample mean for the dependent value y = 103.6
coefficient of correlation r = 0.925
The general expression for representing a linear model is given by-
y = β₀ + β₁x
where β₀ is the intercept and β₁ is the slope
For the above given case, the linear model will be given as-
y = -3.34 + 1.07x
where -3.34 is the intercept and 1.07 the slope.
To find the best predicted value when X = 91, we substitute the value of x as 91 in the equation as follows-
y = -3.34 + 1.07(91)
y = 94.03
Thus, the best predicted value given that a person has an IQ of 91 is 94.03.
Learn more about estimation here-
https://brainly.com/question/15712887
#SPJ4
the soccer filed has a width of 6.its length is double the size of the width what is the total area of the soccer field
Answer:72 lol
Step-by-step explanation: do the math 6 x 2 = 12
6 x 12 = 72
An art teacher has 2,532 crayons. He plans to give 12 crayons to each student who takes his class. How many students take his art class?
Answer:
The art class is attended by 211 students, each one with 12 crayons.
Step-by-step explanation:
Total crayons = 2532
If the teacher gives 12 crayons, then:
Total students = 2532/12 = 211
five people check identical suitcases before boarding an airplane. at the baggage claim, each person takes one of the five suitcases at random. what is the probability that every person ends up with the wrong suitcase?
5% probability is there that every person ends up with the wrong suitcase.
Given,
Number of people checked in = 5
Number of suitcases = 5
We have to find the probability that when each person taken a suitcase randomly and it ends up with the wrong suitcase;
Here,
5 people can take 5 suitcases in 5 different ways.
So,
Probability = possible outcomes / original outcome
Probability = 5 x 5 / 5
Probability = 25/5 = 5
That is,
The probability that every person ends up with the wrong suitcase is 5%
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ4
how many times can 64 go into 51
There are 2times 64 in 151. The answer you divide 151 by 64 which would get you 2.359375. The remainder is 23
none
Step-by-step explanation:
64 is a bigger number so unless I am wrong it should not be able to go into 51.
Mr. Patrick has 30 students in his class working on a project. Show at least 3 different ways he could equally group his students.
I will offer more points soon
Answer:
10 groups of 3, 3 groups of 10 and 5 groups of 6
Step-by-step explanation:
pls !!!!!!!!! do ti. 24 3/5 +4^3x(8 1/5 -2) ??????????
The solution is, the simplified value is 2107/5 = 421.4.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
24 3/5 +4^3x(8 1/5 -2)
we have to
Simplify the Equation
With Converting 24 3/5 to a improper fraction
Calculate the Power of 4^3
Then convert 8 1/5 to a improper fraction
Subtract 41/5 and 2 to get 31/5
Then Multiple the product,
64 • 31/5 to get 1984/5
After add the fractions up
123/5 + 1984/5
=2107/5
=421.4
Hence, The solution is, the simplified value is 2107/5 = 421.4.
To learn more on simplification click:
brainly.com/question/28996879
#SPJ2
someone help me with this plss
The values of u and v of the given triangles using HL Congruency postulate are;
u = 8 and v = 7
There are different congruency postulates for triangles namely;
SSS which means Side - Side - Side Congruency
SAS which is Side Angle Side Congruency Postulate. The angle is the included angle.
ASA which is Angle Side Angle Congruency Postulate. The side is the included side.
AAS Congruency Postulate. This is Angle Angle Side and the side is the non-included side. The angle is the included angle.
HL Congruency postulate which is Hypotenuse Leg theorem.
Now, we are given two triangles with 2 given sides each and the non - included angle. Thus, this is the Hypotenuse Leg congruency theorem.
Therefore for both triangles to be congruent;
5u = u + 32
4u = 32
u = 8
Similarly;
v + 7 = 2v
2v - v = 7
v = 7
Read more about Congruent triangles at; https://brainly.com/question/1675117
#SPJ1
Draw a line of fit using (5,35) and (10,30)
The equation of a line in two-dimensional space is typically given in the form y is mx + b.
What is equation of a line ?The equation of line in two-dimensional space is typically given in the form y = mx + b, where m is the slope of the line and b is the y-intercept, the point where the line crosses the y-axis. For example, the equation y = 3x + 2 describes a line with slope 3 and y-intercept (0, 2).Alternatively, the equation of a line can also be given in the slope-intercept form, which is the same as the standard form except that the slope and y-intercept are written explicitly. For example, the equation of the line y = 3x + 2 can also be written as slope = 3, y-intercept = 2.The equation of a line can also be given in the point-slope form, which is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. For example, the equation of a line with slope 2 passing through the point (3, 4) would be y - 4 = 2(x - 3).There is also the general form of the equation of a line, which is given by the equation Ax + By + C = 0, where A and B are the coefficients of the x and y terms and C is the constant term. For example, the equation 2x - 3y + 4 = 0 is in the general form.To learn more about equation of line refer :
https://brainly.com/question/25969846
#SPJ1
approximately 40 % of the population have type o blood . if 4 people are randomly selected to be donors . find the probability that at least one is type o.
The probability that at least one is type O is 0.8704.
What is a binomial distribution probability?
A value's likelihood of taking one of two independent values is summarised by the statistical distribution known as the binomial distribution.
Given, 40 % of the population has type O blood and 4 people are randomly selected to be donors
Then, binomial distribution can be given by
X ~ = Binomial(n = 4, p = 0.4)
P(at least one type O)
P[X ≥ 1]
= 1- P[X < 1]
= 1- P[X = 0]
= [tex]1 -C(4,0) * (0.4)^{0} * (1 - 0.4)^{4-0}[/tex]
=1-0.1296
=0.8704
Hence, the probability that at least one is type O is 0.8704.
To learn more about a binomial distribution probability
https://brainly.com/question/14578727
#SPJ4
The formula F(C) =
9
5
C + 32 calculates the temperature in degrees Fahrenheit, given a temperature in degrees Celsius.
You can find an equation for the temperature in degrees Celsius for a given temperature in degrees Fahrenheit by finding the function’s
An equation for the temperature in degrees Celsius for a given temperature in degrees Fahrenheit can be determine and it will be: [tex]C = \frac{F - 32}{95}[/tex].
What is temperature?
The degree to which an object is hot or cold is measured by its temperature.
Formula to calculate temperature in degrees Fahrenheit:
F = 95C+32 --- (1)
The given equation (1) can be used to determine the equation to calculate the temperature in degrees Celsius for a given temperature in degrees Fahrenheit.
To determine equation for degrees Celsius following steps can be used:
Subtract 32 from both sides of the above equation,
F - 32 = 95C + 32 - 32
F - 32 = 95C
95C = F - 32
Divide both sides by 95
C = (F - 32)/ 95
Hence, by using some arithmetic operations, equation for the temperature in degrees Celsius for a given temperature in degrees Fahrenheit can be determine and it will be: [tex]C = \frac{F - 32}{95}[/tex].
To know more about temperature, click on the link
https://brainly.com/question/4658134
#SPJ1
Answer:
inverse
Step-by-step explanation:
ed 2023
One weekend, there were 77 pizzas ordered for the sophomore dorm. That weekend 12 customers ordered their pizza with just pepperoni, 19 customers ordered their pizza with just sausage, 20 ordered theirs with just onions, 13 ordered theirs with pepperoni and sausage, 12 ordered theirs with sausage and onions, 11 ordered theirs with pepperoni and onions, and 7 ordered theirs with all three items. How many customers ordered their pizza with pepperoni or sausage (or both)?
41 customers ordered their pizza with pepperoni or sausage (or both).
What is customer?
Customer is an individual or organization who buys goods or services from another. Customers are essential to businesses, as they are the ones that provide the revenue needed to keep the business running. Customers are the lifeblood of any business and are the ones who determine its success or failure. Customers can be internal, such as employees, or external, such as retailers or other businesses. Companies must strive to understand their customer’s needs, wants and preferences in order to keep them satisfied and coming back for more. Companies must also be aware of customer trends, preferences and behaviour to stay competitive. Companies can use customer feedback to improve their products and services, as well as their customer service. Finally, companies must ensure that their customers receive good value for their money, as well as excellent customer service.
This is calculated by adding the number of customers who ordered their pizza with just pepperoni (12) and the number of customers who ordered their pizza with just sausage (19) and the number of customers who ordered their pizza with pepperoni and sausage (13).
12 + 19 + 13 = 41.
To learn more about customers
https://brainly.com/question/27249625
#SPJ1
Teen cigarette use is down the us centers for disease control conducts the national youth tobacco survey each year. The preliminary results3 of 2019 show that e-cigarette use is up among us teens while cigarette use is down. We examined e-cigarette use in exercise 3. 137 and here we estimate cigarette use. In the sample of 1582 teens, 92 reported smoking a cigarette in the last 30 days. Give notation and define the parameter we are estimating. Give notation and value of the sample statistic. Find the standard error for this estimate. What is z* for a 99% confidence interval? what is the 99% confidence interval? what is the best estimate for the parameter we are estimating? what is the margin of error?
Answer of the following questions as per the given sample and confidence interval are:
The sample statistic value for the give samples is 0.058.The standard error for the given estimate is equal to 0.0068.The z score for 99% confidence interval is 2.576.The best estimate is the sample mean.Margin of error is equal to 0.0176.As given in the question,
Number of teens smoking cigarette = 92
Sample size 'n' = 1582
Sample statistic = 92 / 1582
= 0.058
Standard error = √ p ( 1 - p ) / n
= √ 0.058 ( 1 - 0.058 ) / 1582
= √0.0000345
= 0.0058
= 0.006
z-score for 99% confidence interval = 2.576
margin of error = z ×√ p ( 1 - p )/n
= 2.576 √ 0.058 ( 1 - 0.058 ) / 1582
= 2.576 × 0.006
= 0.0155
= ±0.016
lower bound = 2.576 - 0.016
= 2.56
Upper bound = 2.576 + 0.016
= 2.592
Therefore, for the given samples and confidence interval answer of the following questions are:
The sample statistic value for the give samples is 0.058.The standard error for the given estimate is equal to 0.0068.The z score for 99% confidence interval is 2.576.The best estimate is the sample mean.Margin of error is equal to 0.0176.Learn more about confidence interval here
brainly.com/question/24131141
#SPJ4
how many miles are there
At the end, the distance to the car will be 17 miles, and the distance that they walked is 13 miles.
How many miles are there?We want to find the total distance at which the hikers are at the end.
Notice that each little square represents one mile. And the line ends at two little squares above the marking of 15 miles, then the distance to the car at the end is:
15mi + 2 mi = 17 miles.
We also could want to find the distance they walked on the given graph. To find that, we need to take the difference between the final distance and the initial distance.
The final distance is 17 miles, we already know this, and the initial distance is the y-intercept, which in this case is 4 miles.
Then the distance that they walked is:
D = 17mi - 4mi = 13mi
Learn more about distances at:
https://brainly.com/question/7243416
#SPJ1
Joy had 939 stuffed animals. She gave some away. Now she has 402 stuffed animals. How many did she gave away?
Answer: 537 stuffed animals
Step-by-step explanation:
Take 939 - 402 = 537
So she gave away 537 stuffed animals
the sum of two numbers is 15. one number is 4 times the other. letimage andimage represent the two numbers. which system of equations correctly represents this problem?
The two numbers are 3 and 12 when 15 is the result of sum two numbers. One to two are compared in a 4:1 ratio.
Given that,
15 is the result of adding two numbers. One to two are compared in a 4:1 ratio.
We have to find which two numbers are they.
We know that,
Let take x and y to denote the two numbers
We get
x + y = 15 ----->equation(1)
x = 4y ----->equation(2)
Substitute the 4y in equation(1)
(4y) + y = 15
5y = 15
Divide both sides by 5
y = 3.
Substitute y=3 in equation(2)
x=4(3)
x = 12
Therefore, The two numbers are 3 and 12 when 15 is the result of adding two numbers. One to two are compared in a 4:1 ratio.
To learn more about number visit: https://brainly.com/question/2289438
#SPJ4
To lift a load of 100 n a distance of 1 m an effort of 25 n must be applied over an inclined plane of length 4 m. What must be done to lift the load 2 m, using the same effort?.
An inclined plane of length 8 m is used to lift the load 2 m, using the same effort.
A ramp that helps lift and lower heavy things is called an inclined plane. It is a flat surface that is positioned against a horizontal surface at an angle other than a right angle.
Work is defined as the use of force to move an object over a distance. It is derived as the product of displacement (d) and force (F). Work is given by W = F×d = 25 N×d.
When a body is lifted, we can express work as W = m×g×h where g is gravity and h is height. And the force is written as F = m×g where m is the mass of an object. Then, W = F×h
Calculating the work done to lift the load to 2 m, we get,
W = 100 N×2 m = 200 Nm.
Substitute this value in W = F×h, we get,
200 Nm = 25 N×d
Divide both sides by 25 N, and we get,
[tex]\begin{aligned}\frac{\mathrm{200\;Nm}}{\mathrm{25\;N}}&=\frac{\mathrm{25\;N\times d}}{\mathrm{25\;N}}\\d&=\mathrm{8\;m}\end{aligned}[/tex]
The value is 8 m. Therefore, the first statement is correct.
The complete question is -
To lift a load of 100 N a distance of 1 m an effort of 25 N must be applied over an inclined plane of length 4 m. What must be done to lift the load 2 m, using the same effort?
A. Use an inclined plane of length 8 m.
B. Use an inclined plane of length 2 m.
C. Use an inclined plane of length 10 m
D. Use an inclined plane of length 16 m.
To know more about work:
https://brainly.com/question/2005605
#SPJ4