What is the name of the turning point of a
parabola?
Answers
Answer:
vertex
the point on the parabola where the graph changes from increasing to decreasing.
Related Questions
A student was asked to find a 98% confidence interval for widget width using data from a random sample of size n=24. Which of the following is a correct interpretation of the interval 10.8
Answers
The given interval of "10.8" cannot be considered a correct interpretation of the 98% confidence interval for widget width as it lacks the necessary details to fully describe the interval.
To interpret a confidence interval, we need to consider two important components: the interval itself and the level of confidence. In this case, the interval is not fully provided, so it is not possible to determine whether it is correct or not. The interval should have two values that define the range of plausible values for the true population parameter (in this case, the widget width).
Furthermore, the level of confidence is also important. A 98% confidence interval means that if we were to repeat the sampling process and construct a confidence interval each time, we would expect 98% of the intervals to contain the true population parameter. Without knowing the level of confidence associated with the interval, it is impossible to determine whether the interval is a valid representation of the data.
Therefore, we cannot determine the correctness of the given interval of "10.8" without additional information.
To learn more about confidence interval here:
brainly.com/question/24131141#
#SPJ11
In a circle whose center is O, arc AB contains 100. Find the number of degrees in angle ABO. WILL MARK BRAINLIEST FOR BEST ANSWER A)50 B)40 C)65 D)60
Answers
Answer:
It is so easy u should get this right.
First draw a circle and there is an arc that is like forming a triangle inside a circle and then ab angle is 100 degree and outside is the center of the circle. And since u try to find how much is outside it most likely means that 100-60=40
so it b 40.
Step-by-step explanation:
The number of degrees in ∠ABO is 50°. Therefore, option A is the correct answer.
Given that, in a circle whose centre is O, arc AB contains 100°.
We need to find the number of degrees in ∠ABO.
How are angles and arcs related?An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the centre. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
According to the theorem ∠ABO=1/2 × arc AB.
So, ∠ABO=1/2 × 100°=50°
The number of degrees in ∠ABO is 50°. Therefore, option A is the correct answer.
Learn more here about arc of a circle here:
https://brainly.com/question/15448382.
#SPJ2
Someone please help me. This is so stressful.
Answers
Step-by-step explanation:
The answer is 4.
It is telling you to find the slope of the given line.
That mean you got to calculate the gradient and the formula is the rise(vertical axis/y) divide by the run(horizontal axis/x) which is also as i have written (y2 - y1) /(x2 - x1).
Which of the following is an example of a data set with 5 values for which the standard deviation is zero. a) -2.-1.0.1.2 b) 4.4.4.4.4 c) -5,-3.0.3.5 d) 1,2,3,4,5
Answers
The standard deviation for the dataset (4, 4, 4, 4, 4) is zero (0)
To find a data set with 5 values for which the standard deviation is zero,
⇒ (4, 4, 4, 4, 4)
For the above dataset;
Mean μ = 4
Number of samples n = 5
Standard deviation σ = \(\sqrt{\frac{sumof(xi - x)^2}{n} }\)
= \(\sqrt{\frac{(4-4)^2+(4-4)^2+(4-4)^2+(4-4)^2+(4-4)^2}{5} }\)
= 0
Therefore, for the dataset (4, 4, 4, 4, 4) the standard deviation is zero(0).
To learn more about standard deviation click here:
brainly.com/question/14747159
#SPJ4
What does it mean to have 2 equal roots?
Answers
Therefore , it means if an equation have 2 roots , it means it is a quadratic function .
What is square root ?A number's root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as or as 3 x 3.
Here,
If an equation have 2 roots , it means it is a quadratic function
If D=0, a quadratic function has two roots that are equal.
D (discriminant) = 0
=>b24ac=0 is required for a polynomial function to have equal roots.
Therefore , it means if an equation have 2 roots , it means it is a quadratic function .
To know more about square root , visit
brainly.com/question/29286039
#SPJ4
Solve for x. Round to the nearest tenth.
29
x
67
Which Trig Function did you use to set up your equation?
choose your answer...
x= type your answer...
Answers
Answer:
180
Step-by-step explanation:
20×60=120 9×7=63
120+63=183 if you round to the nearest 10th it's 180
Question 9
1) Which number is a rational number?
134
49
9
13
2
16
Answers
Answer: all of them
Step-by-step explanation:
Rational numbers are represented as dividing two integers, which is a fraction or decimal. Therefore, the numbers stated (134, 49, 9, etc.) are rational numbers since they are all whole numbers.
Write 3 60/79 as an improper fraction.
Answers
3 60/79
•Finding the top part of the fraction
#Firstt times 79 with 3
79× 3 = 237
#Then, u plus it with 60
237 + 60 = 297
•Bottom part
#The bottom part of the fraction stay the same so,
297/79
Answer : 297/79#Hope my answer is correct cuz i dont use calc to do this
PLEASE HELP ASAP GIVING 50 POINTS AND BRAINLIEST
Adam is planning a hike and printed two maps of the trail. The length of the trail on the first map is 8 cm. The length of the trail on the second map is 5 cm.
(a) 1 cm on the first map represents 3.5 km on the actual trail. What is the length of the actual trail according to the first map?
(b) A landmark on the first map is a triangle with side lengths of 3 cm, 4 cm, and 6 cm. What is the scale factor from the first map to the second map? What are the side lengths of the landmark on the second map? Show your work.
Answers:
Answers
A) 1 cm = 3.5 km
The trail is 8cm long on the map, multiply 8 by 3.5:
8 x 3.5 = 28 km total
B. The first map is 8cm, the second map is 5 cm
The scale factor to change from the 1st map to the 2nd map would be 5/8
Multiply the dimensions on the 1st map by 5/8.
3 cm x 5/8 = 1 7/8 cm
4 cm x 5/8 = 2 1/2 cm
6 cm x 5/8 = 3 3/4 cm
You are testing the null hypothesis that there is no linear
relationship between two variables, X and Y. From your sample of
n=18, you determine that b1=5.3 and Sb1=1.3. What is the
value of tSTAT?
Answers
The value of tSTAT is 4.08. The slope of the regression line tells us the rate at which Y changes for each unit increase in X.
tSTAT stands for "t statistic". t statistic is a parameter that estimates how far a sample mean is likely to be from the population mean. A t-test is used to determine whether a difference between two groups is significant. The formula for calculating the t-statistic is:tSTAT = (b1 - 0) / Sb1Where b1 is the slope of the regression line, Sb1 is the standard error of the slope, and 0 is the hypothesized value of the slope (which is zero when testing for no linear relationship between two variables, X and Y).In this case, b1 = 5.3, Sb1 = 1.3, and 0 = 0. Therefore:tSTAT = (5.3 - 0) / 1.3 = 4.08Thus, the value of tSTAT is 4.08.
In statistics, the t statistic is a ratio between the difference between the sample mean and the null hypothesis and the standard error of the mean. The null hypothesis in this case is that there is no linear relationship between two variables, X and Y. The t-test is used to determine whether this null hypothesis is true or not.In order to calculate the t statistic, we need to know the slope of the regression line (b1) and the standard error of the slope (Sb1). The standard error of the slope tells us how much variation there is in the slope estimate from sample to sample.The formula for calculating the t statistic is:tSTAT = (b1 - 0) / Sb1Where b1 is the slope of the regression line, Sb1 is the standard error of the slope, and 0 is the hypothesized value of the slope (which is zero when testing for no linear relationship between two variables, X and Y).In this case, b1 = 5.3, Sb1 = 1.3, and 0 = 0. Therefore:tSTAT = (5.3 - 0) / 1.3 = 4.08.Thus, the value of tSTAT is 4.08.
To know more about regression line visit :-
https://brainly.com/question/30243761
#SPJ11
Tell whether the two quantities vary directly. Explain your reasoning.
the number of correct answers on a test and the score on the test
Choose the correct answer below.
OA. No, they do not vary directly. When one quantity increases, the other quantity does not increase.
OB. No, they do not vary directly. When one quantity increases, the other quantity also increases.
C. Yes, they vary directly. When one quantity increases, the other quantity also increases.
OD. Yes, they vary directly. When one quantity increases, the other quantity does not increase.
Answers
The correct statement regarding the variation of the two measures is given as follows:
C. Yes, they vary directly. When one quantity increases, the other quantity also increases.
What are positive and negative association?Two variables have a positive association when the values of one variable increase as the values of the other variable increase, that is, the quantities vary directly.Two variables have a negative association when the values of one variable decrease as the values of the other variable increase, that is, the quantities vary inversely.For this problem, we have that when the number of correct answers on the test increases, the score also does, hence the two quantities vary directly, and option c is the correct option for this problem.
More can be learned about negative and positive association at brainly.com/question/23489661
#SPJ1
. Grant and Pedro are comparing the result of their stocks at the end of the week. Grant's result was a loss of $4. Pedro's result was the opposite of Grant's. How would you graph the results on a number line?
Answers
Answer:
Pedro's result is -$4
Step-by-step explanation:
On a number line the opposite of a positive number will be the same number but as a negative.
a) Why would a department manager receiving an allocation of costs care about management's methodology of overhead allocation?
b) What difference do the allocation base and rate make? Don't all of the overhead costs eventually make their way to the income statement?
c) Cost planning is budgeting. Are budgets as helpful as theoretically proposed? Consider budgets from a business perspective. Which budget(s), based on reading, do you believe is/are most important to the organization's success? How does the government's budget process compare to the operating budgeting process described in the chapter? What are the similarities and differences?
Answers
a) A department manager receiving an allocation of costs will care about management's methodology of overhead allocation because the overhead costs allocated to their department will have a direct impact on the department's profitability and cost efficiency.
b) The allocation base is the measure used to determine how much of the overhead costs should be allocated to a particular department or product, while the allocation rate is the amount of overhead costs allocated to each unit of the allocation base
c) Budgets are an important tool for cost planning, but their effectiveness depends on how well they are developed and implemented.
a) If the allocation method used by management is not accurate or fair, it could result in the department being burdened with more costs than they actually incur, which could affect their ability to meet their targets and objectives. It is, therefore, important for department managers to ensure that the allocation of costs is done fairly and accurately.
b) The allocation base and rate are important because they determine how the overhead costs are allocated to different departments or products.
Different allocation bases and rates can result in significantly different amounts of overhead costs being allocated to different departments or products, which can impact their profitability. While all of the overhead costs eventually make their way to the income statement, the allocation of these costs can have a significant impact on the accuracy of the income statement and the ability of the organization to make informed decisions.
c) Budgets can be helpful in providing a roadmap for achieving the organization's goals and objectives, but they need to be flexible enough to adapt to changing circumstances and priorities.
The budget(s) that are most important to the organization's success will depend on the nature of the organization and its objectives. However, typically the operating budget, capital budget, and cash budget are the most important budgets for most organizations.
The government's budget process is similar to the operating budgeting process described in the chapter in that it involves the development of a budget to allocate resources and achieve goals. However, the government's budget process is more complex and involves additional considerations such as political priorities and public opinion. Additionally, the government's budget process involves a more detailed review and approval process than the operating budgeting process.
To learn more about Budgets refer:-
https://brainly.com/question/31952035
#SPJ11
Which expression simplifies to 2√/15?
Answers
The simplification of the number 2√15 is 7.74.
What is defined as taking square root?Squaring a number would be the inverse operation of square rooting it.
The square of a number is really the value obtained by multiplying the number by itself, whereas the square root of such a number is obtained by locating a number that, when squared, yields the original number. If 'a' has been the square root of 'b,' then a × a = b.A number's square root is the value of power 1/2 of such a number. In all the other phrases, it is the number for whom product yields the original number on its own. It is represented by the symbol '√ '. The square root sign is known as a radical, and the number beneath it is known as a radicand.The given expression is;
= 2√15
For finding the value of √15; use long division method.
√15 = 3.87
Put the value;
= 2 × 3.87
= 7.74.
Thus, the value of the expression is found as 7.74.
To know more about the square root, here
https://brainly.com/question/11388449
#SPJ9
What are the coordinates of the midpoint of the line segment with endpoints (−4, 4) and (−2, 2)?
Answers
\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{2}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -2 -4}{2}~~~ ,~~~ \cfrac{ 2 + 4}{2} \right)\implies \left( \cfrac{-6}{2}~~,~~\cfrac{6}{2} \right)\implies (-3~~,~~3)\)
the angle \theta 1θ 1 theta, start subscript, 1, end subscript is located in quadrant \text{iii}iiistart text, i, i, i, end text, and \sin(\theta 1)
Answers
The value of the angle θ₁, located in Quadrant IV with sin(θ₁) = -13/85, is such that cosθ₁ = 84/85.
In the given scenario, the angle θ₁ is located in Quadrant IV and sin(θ₁) is given as -13/85. We can use the trigonometric identity to determine the value of cosθ₁.
Using the Pythagorean identity sin²θ + cos²θ = 1, we can substitute sin(θ₁) = -13/85:
(-13/85)² + cos²θ₁ = 1
Simplifying:
169/7225 + cos²θ₁ = 1
cos²θ₁ = 1 - 169/7225
cos²θ₁ = (7225 - 169)/7225
cos²θ₁ = 7056/7225
Taking the square root of both sides, we get:
cosθ₁ = √(7056/7225)
Since the angle θ₁ is located in Quadrant IV where cosθ₁ is positive, the value of cosθ₁ is:
cosθ₁ = √(7056/7225)
Simplifying the square root:
cosθ₁ = 84/85
Therefore, the value of the angle cosθ₁ is 84/85.
Learn more about trigonometric identity here: https://brainly.com/question/31484998
#SPJ11
The complete question is:
The angle θ₁ is located in Quadrant IV and sin(θ₁) = -13/85. What is the value of the angle cosθ₁?
If p and q vary inversely and p is 9 when q is 16, determine q when pis equal to 18.
Answers
Answer:
\(p \: \alpha \: \frac{1}{q} \\ p = \frac{k}{q} \\ k \: is \: a \: constant \: of \: proportionality \\ when \: p \: is \: 9.. \: \: q = 16 \\ 9 = \frac{k}{16} \\ k = 144 \\ when \: p \: is \: 18 : \\ 18 = \frac{144}{q} \\ q = \frac{144}{18} \\ q = 8\)
A clinical trial was conducted to test the effectiveness of the drug zopiclone for treating insomrua in older subjects. Before treatment with zopiclone, 16 subjects had a mean wake time of 102.8 min. After treatment with zopiclone, the 16 subjects had a mean wake time of 98.9 min and a standard deviation of 42.3 min (based on data from "Cognitive Behavioral Therapy vs Zopiclone for Treatment of Chronic Primary Insomrua in Older Adults," by Sivertsen et al., Journal of the American Medical Association, Vol. 295, No. 24). Assume that the 16 sample values appear to be from a normally distributed population, and test the claim that after treatment with zopiclone, subjects have a mean wake time of less than 102.8 min. Does zopiclone appear to be effective?
Answers
A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.
What is a confidence interval?
A confidence interval (CI) is a range of values that, with a particular level of certainty, is likely to encompass a population value. A population mean that sits between an upper and lower interval is frequently stated as a percentage.
Here,
From the standard normal table, the z-critical value at 98% confidence interval is 2.33 so,
98%C.I. = µ ± z * σ / n = 98.90 ± 2.33 * 42.30 / sqrt of 16 = 98.90 ± 24.64 = 74.26 to 125.54
The mean wake time of 102.80 minutes before the treatment due to the mean wake time of 102.80 minutes included in the 98% confidence interval which is between 74.26 and 125.54. Zopiclone does not appear effective.
Hence, A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.
To learn more about the confidence interval from the given link
https://brainly.com/question/26658887
#SPJ4
A survey was done that asked people to indicate whether they preferred to ride a
street bike or a mountain bike. The results of the survey are shown in the two-way
table.
Amjed is making a relative frequency table from this data.
What operation should Amjed perform to determine the relative frequency of a
person over 30 years old who prefers to ride a mountain bike? 1) Subtract 25 from 462, then divide by 462. 2) Divide 25 by 462. 3) Add 180 to 462, then divide by 463. 4) Divide 180 by 462
Answers
The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:
2) Divide 25 by 462.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of people is given as follows:
58 + 164 + 215 + 25 = 462.
Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:
25/462.
Learn more about the concept of probability at https://brainly.com/question/24756209
#SPJ1
Starting at home, Ishaan travel uphill to the grocery store for 12 minutes at just 15 mph. He then traveled back home along the same path downhill at a speed of 30 mph. What is his average speed for the entire trip from home to the grocery store and back?
Answers
Answer:
20 mph
Step-by-step explanation:
Average speed is given as total distance traveled divided by total time taken:
S = d / t
Let us find the total distance traveled.
He traveled 12 minutes (0.2 hours) at a speed of 15 mph. The distance to the grocery store is therefore:
d = s * t
d = 15 * 0.2 = 3 miles
He travels the same distance to get back home, this means that his total distance traveled is 6 miles.
Let us calculate the time taken to get home from the grocery store:
t = d /s
t = 3 / 30 = 0.1 hour
Therefore, his total time is:
t = 0.2 + 0.1 = 0.3 hours
His average speed is therefore:
s = 6 / 0.3 = 20 mph
Please I need help it’s due tomorrow
Answers
all you are doing is moving the point to the left 3 times and up 2. :)
Solving each equation: -10-3(x-2)=-(4+3x)
Answers
Answer:
-4-3x = -4-3x
Step-by-step explanation:
-10-3(x-2)=-(4+3x)
-10-3x+6 = -4-3x
-4-3x = -4-3x
How would you find the velocity of this? Please answer asap♥️
John is rolling down a 0.9km hill. It takes him 28s to make it to the bottom. What was John’s velocity?
Answers
Answer:
115.7 km/h
Step-by-step explanation:
velocity = distance/time
velocity = (0.9 km)/(28 s) = 0.032143 km/s
The velocity is 0.032143 k/s. The question is answered, but since km/s is not a common unit of speed, we can convert to a more common unit of speed such as km/h.
velocity = (0.9 km)/(28 s)[(3600 s)/(1 h)] = 115.7 km/h
if a car travels at an average speed of x miles per hour, how far would the car travel in 90 minutes?
a) 9x/2
b) 2x miles
c) 3x/2 miles
d) x/2 miles
Answers
Hope this helps and if I’m wrong pls don’t bash me lol.
a stone is dropped from the top of a cliff. it is observed to hit the ground 5.78 s later how high is the cliff?
Answers
Using the formula;
H= ut + 1/2 gt²
The initial velocity = 0
Hence H= 1/2 gt²
g= 10m/s t= 5.78 s
H = 1/2 x 10 x 5.78²
H = 167.042 m
H = 167 m approximately
For box plot data where Q1 = 200, Q2 = 250, and Q3 = 290, the
IQR
Answers
The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.
Given that,
For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290
We have to find the data of IQR.
We know that,
IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.
IQR Formula is Q₃ - Q₁
So,
Q₃ = 290
Q₁ = 200
Then ,
IQR = Q₃ - Q₁
IQR = 290 - 200
IQR = 90
Therefore, The value of IQR is 90.
To know more about IQR visit:
https://brainly.com/question/31207390
#SPJ4
in a certain amount of time, a plane traveling at a constant $250$ miles per hour traveled $20,\!000$ feet. in this same amount of time, how many feet would a plane traveling at a constant $400$ miles per hour travel?
Answers
At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.
The speed of an object is the ratio of distance and time it takes for the object to travel that distance.
Mathematically,
S = D/T
where
S is velocity
D is the distance traveled or distance traveled
T is the time it takes to travel that distance
Velocity is considered a scalar quantity. A scalar size only has a size. It does not provide information about the direction of object movement.
If an object moves at a constant speed, it means that the object moves the same distance in the same time interval.
Acceleration of an object is the ratio of velocity and time. vector size. Vector quantities have both magnitude and direction.
Mathematics,
a = v/t
When an object is in motion, its acceleration is never zero.
When an object moves, it moves a constant distance over time. Therefore, body positions cannot be the same from the same coordinate system.
Given in the question:
First the plane was travelling at a constant rate of 250 miles per hour.
Initial height was 20000 feet
Now,
As the speed increases and travels at a constant rate of 400 miles per hour.
Now,
(400 /250 ) × 20000
= 1.6 × 20000
= 32000 feet
Thus, At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.
Learn more about Constant Rate:
https://brainly.com/question/13659182
#SPJ4
plots are used to detect some of the common violations to the regression model assumptions. These graphical plots are easy to use and provide informal analysis of the estimated regression models.ResidualResponsePerfect multicollinearity
Answers
Answer:
Plots that can detect violations in regression assumptions, while response plots help analyse the relationship between the response variable and predictors are Residual plots and scatterplot matrix.
Step-by-step explanation:
There are several graphical plots commonly used to detect violations of regression model assumptions and analyze estimated regression models. Here are a few examples:
Residual plot: A residual plot shows the difference between the observed values of the response variable and the predicted values from the regression model. Patterns in the residuals, such as nonlinearity, heteroscedasticity (unequal variances), or outliers, can indicate violations of assumptions.
Response plot: This plot examines the relationship between the response variable and one of the predictor variables while holding other predictors constant. It helps identify nonlinearity or other issues in the relationship between the response and predictors.
Scatterplot matrix: A scatterplot matrix displays scatterplots between pairs of predictor variables. It can help detect issues like perfect multicollinearity, which occurs when two or more predictors are highly correlated, leading to problems in estimating the regression coefficients.
Learn more about scatterplot matrix here, https://brainly.com/question/30383441
#SPJ11
could you help me with 11% and 9% thank you Assuming that the current interest rate is 10 percent, compute the present value of a five-year, 10 percent coupon bond with a face value of $1,000. What happens when the interest rate goes to 11 percent? What happens when the interest rate goes to 9 percent?
Answers
As the interest rate increases from 10 percent to 11 percent, the present value of the bond decreases from $1,074.47 to $1,058.31. Conversely, when the interest rate decreases to 9 percent, the present value increases to $1,091.19. This is because the discount rate used to calculate the present value is inversely related to the interest rate, meaning that as the interest rate increases, the present value decreases, and vice versa.
To compute the present value of a five-year, 10 percent coupon bond with a face value of $1,000, we need to discount the future cash flows (coupon payments and face value) by the appropriate interest rate.
Step 1: Calculate the present value of each coupon payment.
Since the bond has a 10 percent coupon rate, it pays $100 (10% of $1,000) annually. To calculate the present value of each coupon payment, we need to discount it by the interest rate.
Using the formula: PV = C / (1+r)^n
Where PV is the present value,
C is the cash flow,
r is the interest rate, and
n is the number of periods.
At an interest rate of 10 percent, the present value of each coupon payment is:
PV1 = $100 / (1+0.10)^1 = $90.91
Step 2: Calculate the present value of the face value.
The face value of the bond is $1,000, which will be received at the end of the fifth year. We need to discount it to its present value using the interest rate.
At an interest rate of 10 percent, the present value of the face value is:
PV2 = $1,000 / (1+0.10)^5 = $620.92
Step 3: Calculate the total present value.
To find the present value of the bond, we need to sum up the present values of each coupon payment and the present value of the face value.
Total present value at an interest rate of 10 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,074.47
When the interest rate goes to 11 percent, we would repeat the above steps using the new interest rate.
Total present value at an interest rate of 11 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,058.31
When the interest rate goes to 9 percent, we would repeat the above steps using the new interest rate.
Total present value at an interest rate of 9 percent:
PV = PV1 + PV1 + PV1 + PV1 + PV1 + PV2
PV = $90.91 + $90.91 + $90.91 + $90.91 + $90.91 + $620.92
PV = $1,091.19
Learn more about interest rate:
https://brainly.com/question/29451175
#SPJ11
1
What is the solution to the equation 5x + 4 =19
Answers
Answer:
x=3
Step-by-step explanation:
5x + 4 = 19
-4 -4
5x = 15
/5 /5
x = 3