How are expected frequencies computed for goodness-of-fit tests? A.)Take the proportion of the sample size for each category from the observed data. B.)Divide the proportion of the sample size for each category by the total sample size. C.Divide the total sample size by the sample size for each category. D.) Take the proportion of the sample size for each category designated by the proposed distribution.
Answers
Take the proportion of the sample size for each category from the observed data.
Expected Frequencies in a Goodness-of-Fit test are computed using the following methods:
Step 1: Create the null hypothesis stating that the distribution of the sample matches the distribution of the population.
Step 2: Establish the degree of freedom (df). It is calculated by subtracting 1 from the number of categories. Determine the level of significance that will be used for the hypothesis test.
The most prevalent alpha value is 0.05.
Step 3: Look up the chi-square value on the table of critical values to determine the critical value for the specified level of significance and degree of freedom.
Step 4: Calculate the expected frequency for each group. For each group, compute the total expected frequencies. To get the total expected frequency, multiply the expected proportion for each category by the total number of observations
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Related Questions
If you rotate triangle ABC 90 degrees counter- clockwise, where would the vertices of A'B'C' be located?
Answers
Answer:
a at c place 45 degree b at a place 45 dgree cat b place 90 degree
wilfredo, que actualmente tiene 42 años, tiene 8 años mas que el doble de la edad de alejandro. que edad tiene alejandro
Answers
We are given the following statement:Wilfredo, who is currently 42 years old, is 8 years older than twice Alejandro's age. We have to determine Alejandro's age.Let's suppose the age of Alejandro to be A.So, according to the given statement, the age of Wilfredo can be calculated by the following equation:Wilfredo's age = 8 + 2ANow, we have been given that Wilfredo's age is 42 years. Therefore:42 = 8 + 2A⇒ 2A = 42 - 8 = 34⇒ A = 17Therefore, Alejandro's age is 17 years old.
Alejandro's age is given as follows:
17 years old.
How to obtain Alejandro's age?Alejandro's age is obtained solving a system of equations, considering it's age as x.
Double his age is given as follows:
2x.
Eight more than double is given as follows:
2x + 8.
Wilfredo's age is of 42, hence the value of x is given as follows:
2x + 8 = 42
2x = 34
x = 17.
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Susan bought a pair of jeans for $20.95 and a shirt for $11.50. She paid with $40.00. How much was her change?
Answers
Answer:
$7.55
Step-by-step explanation:
First, add the prices to get the grand total.
$20.95 + $11.50 = $32.45
Now, subtract that from the total that was paid.
$40.00-$32.45 = $7.55
At Piedmont High School, 3 out of every 8 students are athletes. If there are 1280 students at the school, how many are not athletes?
Answers
Answer:
800
Step-by-step explanation:
1280 - (1280 x (3/8)) = 800 or
1280 x (5/8) = 800
Answer:
800
Step-by-step explanation:
then 5 out of 8 are athletes
The fraction of this is:
\(\frac{5}{8} =0.625\)
\(1280(.625)=800\)
I hope this help you
Questions According to a study. 74% of students prefer online exams to in-class exame Suppose that 21 students are randomly selected How Roly is that fower than 12 of these students profer online 6 points cm Round to four decimal places O 0269 1.5731 Оe erbs Od 9300 inte
Answers
The probability that fewer than 12 of the 21 randomly selected students prefer online exams is 0.0269, or 2.69%.
According to a study, 74% of students prefer online exams to in-class exams. If 21 students are randomly selected, you want to know the probability that fewer than 12 of these students prefer online exams.
To answer this question, we can use the binomial probability formula:
P(x) = C(n, x) × pˣ × (1-p)^(n-x)
where:
- P(x) is the probability of having exactly x successes in n trials
- C(n, x) is the number of combinations of n items taken x at a time
- n is the number of trials (21 students in this case)
- x is the number of successful trials (students preferring online exams)
- p is the probability of success (0.74, the percentage of students preferring online exams)
Since we want the probability of fewer than 12 students preferring online exams, we need to calculate the sum of probabilities for x = 0 to 11:
P(x < 12) = Σ [C(21, x) × 0.74ˣ × (1-0.74)⁽²¹⁻ˣ⁾] for x = 0 to 11
Using a calculator or statistical software to compute the probabilities, the sum of the probabilities for x = 0 to 11 is approximately 0.0269.
So, the probability that fewer than 12 of the 21 randomly selected students prefer online exams is 0.0269, or 2.69%.
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Examine the system of equations.
y = negative one-fourth x minus 2
x = 4
Answers
The given system of equations is:
y = (-1/4)x - 2...equation (1)
x = 4.............equation (2)
This is a system of linear equations. Graphically, it can be represented as follows:
Graph of the given system of equations
We know that for any two linear equations:
If the two lines intersect at one point, then the system has a unique solution. If the two lines are parallel, then the system has no solution. If the two lines are coincident, then the system has infinitely many solutions. Now, let us examine the given system of equations:
First, let us examine the second equation: x = 4
This equation represents a vertical line passing through the point (4, 0). Now, let us examine the first equation:
y = (-1/4)x - 2
We know that this is an equation of a line having y-intercept as -2 and a slope of -1/4. Slope is negative which means that the line slopes downwards towards the right. Also, the slope is less than 1 which means that the line is not too steep. Therefore, from the graph, we can see that the two lines intersect at the point (4, -3).
Hence, the given system of equations has a unique solution.
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Department A had 4,500 units in Work in Process that were 71% completed at the beginning of the period at a cost of $6,900. During the period, 29,800 units of direct materials were added at a cost of $65,560, and 31,400 units were completed. At the end of the period, 2,900 units were 25% completed. All materials are added at the beginning of the process. Direct labor was $25,400 and factory overhead was $5,100. The cost of the 2,900 units in process at the end of the period if the first-in, first-out method is used to cost inventories was Oa. $7,908 Ob. $7,144 Oc. $6,762 Od. $6,380
Answers
Answer:
Step-by-step explanation:
easy, js study
Write a system of two linear equations in two variables that you can
solve by subtracting the equations and that results in a solution of (3, 1).
Answers
The system of two linear equations in two variables that we can solve by subtracting the equations and that results in a solution of (3, 1) is:-
x + y = 4
2x - 3y = 3
Let x + y be equation (1) and 2x - 3y = 3 be equation (2).
Multiplying (1) by 2, we get,
2x + 2y = 8 ...(3)
(3) - (2), we get,
(2x - 2x) + (2y - (-3y)) = 8 - 3
0 + 5y = 5
y = 5/5 = 1
y = 1
Putting y = 1 in (1), we get
x + 1 = 4
x = 4 - 1
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Jaclyn started the week with $284.28 in her checking
account. She withdraws $40 from the ATM, writes a
check for $48.39 for groceries. She also uses her
debit card at the gas station, spending $30.27 to fill
her car with gas. How much does Jaclyn have left in
her checking account?
de
Answers
Answer:
$165.62
Step-by-step explanation:
284.28-40-48.39-30.27=165.62
Answer:
She has 165.62$ left
Step-by-step explanation:
You just subtract all the numbers from her amount at the beginning lols
. The linear regression equation for a data set is y = -2x + 10. The observed value when x = 6 is 5. What is the residual value when x = 6?
Answers
Answer:
Step-by-step explanation:
Using standard deviation method, the residual value when x is 6 is,
y = 7.
Define residual?The discrepancy between the actual value and the expected value is known as a residual. The residual would be the vertical gap between the actual value and the line of best fit in a scatter plot with a line of best fit. This is the general shape of the residual: -predicted.
As a result, residual has a value of -1.
The linear regression equation given is,
y = -2x + 10
The value when x = 6,
y' = -2 × 6 + 10
y' = -2
Now, the observed value is given as, y = 5.
Now, the residual value is,
y - y'
= 5 - (-2)
= 5+ 2
=7
Therefore, the residual value = 7.
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Your cell phone plan costs $39.99 plus $0.19 for each text message you send or receive. you have at most $49 to spend on your cell phone bill
Answers
Answer:
in image
Step-by-step explanation:
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An engineering analysis problem is formulated in terms of the following second order boundary value problem: −u′′(x)+u(x)=x,0
Answers
The engineering analysis problem that is formulated in terms of the following second-order boundary value problem, -u''(x) + u(x) = x, 0 < x < 1 can be solved using the Differential Equation Method. Here's how you can go about it.
Rewrite the equation as Compute the characteristic equation of the rewritten equation as r^2 - 1 = 0, which gives the two characteristic roots r1 = -1 and r2 = 1 Find the complementary solution of the differential equation as yc(x) = c1e^(-x) + c2e^(x) Compute the particular solution of the differential equation. Since the non-homogeneous term is x which is a polynomial function, the particular solution can be taken to be a polynomial of the same degree as x.
This implies that the particular solution is given by yp(x) = Ax + B Find the coefficients A and B using the particular solution, yp(x) = Ax + B. Therefore, yp'(x) = A, and yp''(x) = 0. Substituting these into the differential equation gives 0 - (Ax + B) = -x. This implies that A = -1/2, and B = 1/2.Step 6: Combine the complementary and particular solutions to get the general solution of the differential equation as Finally, substitute the values of c1 and c2 back into the general solution to obtain the solution to the engineering .
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What is the value of [ 3 × ( 8 − 2 ) ] 5 ? enter your answer in the box.
Answers
Answer:
90
Step-by-step explanation:
1st you solve for the 8-2 in the parentheses
[3 x 6] 5
Then solve what's in the brackets
[18]5
18 x 5 = 90
fill in the blank to make an equivalent answer ___:30=3.5
Answers
105 divided by 30= 3.5
Hope this helps some
Solve the system of equations by graphing. y = −5x y = x − 6 Part A Select the correct graph. A. Two lines graphed on a coordinate plane. The decreasing line has Y intercept at zero and the increasing line has Y intercept at negative 6. The lines intersect at the point, 1, negative 5. B. Two lines graphed on a coordinate plane. The decreasing line has Y intercept at zero and the increasing line has Y intercept at 6. The lines intersect at the point, negative 1, 5. C. Two lines graphed on a coordinate plane. The decreasing line has Y intercept at negative 6 and the increasing line has Y intercept at 0. The lines intersect at the point, negative 1, negative 1. D. Two lines graphed on a coordinate plane. The decreasing line has Y intercept at 6 and the increasing line has Y intercept at 0. The lines intersect at the point, 1, 1. Part B Write the solution. 35 points!!!!
Answers
(B) On a coordinate plane, two lines are graphed. The growing line's Y intercept is - 6, whereas the decreasing line's Y intercept is zero. the place where the lines converge ( 1, - 5).
Consider the system of equations,
y = - 5x and y = x - 6
To graph the equation y = - 5x we need to determine the points on the line.
When x = 0,
y = 0
When x = 1,
y = - 5
When x = 2.
y = - 5(2) = - 10
When x = - 1,
y = - 5( - 1 ) = 5
When x = - 2,
y = - 5 ( - 2 ) = 10
So, the point on the graph y = - 5x are ( 0, 0 ), ( 1, - 5 ), ( 2, - 10), ( - 1, 5 ), and ( - 2, 10 ).
Consider the equation,
y = x - 6
When x = 0,
y = - 6
When x = 1,
y = 1 - 6 = - 5
When x = 2,
y = 2 - 6 = - 4
When x = - 1,
y = - 1 - 6 = - 7
When x = - 2,
y = - 2 - 6 = - 8
So, the points are ( 0, - 6 ), ( 1, - 5 ), ( 2, - 4 ), ( - 1, - 7), and ( - 2, - 8).
So, the two lines intersect each other at ( 1, - 5 ).
The increasing line's y-intercept is at - 6 and the decreasing line's y-intercept is at 0.
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3.6.PS-11
Boden's account has a principal of $800 and a simple
interest rate of 3.2%. Complete the number line. How much
money will be in the account after 4 years, assuming
Boden does not add or take out any money?
int
Answers
Answer:
$902.40
Step-by-step explanation:
The formula for simple interest is I = PRT where I is the interest paid/earned, P is the principal amount deposited/invested, R is the rate as a decimal, and T = time in years.
I = PRT
I = (800)(0.032)(4)
I = 102.4 = $102.40
Add this to the principal for the total in the account
800 + 102.40 = $902.40
Please hel- I really need this it’s not a test I’m not cheating please help
Answers
Answer:
x = 45
Step-by-step explanation:
Since ray IK║EH and IG is a transverse,
∠GIK ≅ ∠IGF [Corresponding angles]
Therefore, m∠IGF = x
Since, m∠JIF + m∠GIF = 180° [Supplementary angles]
2x + m∠GIF = 180°
m∠GIF = (180 - 2x)
Similarly, m∠IFE + m∠IFG = 180°
3x + m∠IFG = 180°
m∠IFG = (180 - 3x)
By the property of a triangle,
"Sum of all interior angles of a triangle is 180°"
m∠IGF + m∠GFI + m∠FIG = 180°
x° + (180 - 2x)° + (180 - 3x)° = 180°
(x - 2x - 3x) + 360 = 180
-4x + 360 = 180
4x = 360 - 180
4x = 180
x = 45
The following data is data for the temperature in Celsiu ( x) and number of ice cream (y) has been sold in a market. 15 10 x у 20 125 21 128 18 80 70 50 1) Find the EQUATION OF REGRESSION LINE 2) And when you find it, product how many ice cream may be sold when the temperature is 25 Celsius.
Answers
The equation of the regression line is y = -1.12x + 109.13. We estimate that approximately 81.63 ice creams may be sold when the temperature is 25 Celsius.
To find the equation of the regression line, we can use the method of least squares. This method helps us find the line that best fits the given data points. The equation of a regression line is of the form y = mx + c, where m is the slope of the line and c is the y-intercept.
Calculating the equation of the regression line:
First, we need to calculate the means of x and y, denoted as \(\bar{x}\) and \(\bar{y}\), respectively.
\(\bar{x}\) = (20 + 21 + 18 + 15 + 10) / 5 = 16.8
\(\bar{y}\) = (125 + 128 + 80 + 70 + 50) / 5 = 90.6
Next, we calculate the slope (m) using the formula:
\(m = \Sigma[(x - \bar{x})(y - \bar{y})] / \Sigma((x - \bar{x})^2)\)
Calculating the numerator:
(20 - 16.8)(125 - 90.6) + (21 - 16.8)(128 - 90.6) + (18 - 16.8)(80 - 90.6) + (15 - 16.8)(70 - 90.6) + (10 - 16.8)(50 - 90.6) = -100.4
Calculating the denominator:
(20 - 16.8)² + (21 - 16.8)² + (18 - 16.8)² + (15 - 16.8)² + (10 - 16.8)² = 89.6
m = -100.4 / 89.6 = -1.12
Now, we can calculate the y-intercept (c) using the formula:
\(c = \bar{y} - m \times \bar{x}\)
c = 90.6 - (-1.12) * 16.8 ≈ 109.13
Therefore, the equation of the regression line is y = -1.12x + 109.13.
To estimate the number of ice creams sold when the temperature is 25 Celsius, we substitute x = 25 into the equation:
y = -1.12 * 25 + 109.13 ≈ 81.63
In conclusion, Based on the given data, we calculated the equation of the regression line as y = -1.12x + 109.13. This equation represents a linear relationship between temperature (x) and the number of ice creams sold (y).
By substituting x = 25 into the equation, we estimate that approximately 81.63 ice creams may be sold when the temperature is 25 Celsius. However, it's important to note that this estimation assumes that the relationship between temperature and ice cream sales is linear and that other factors influencing ice cream sales remain constant.
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Complete Question:
The following data is data for the temperature in Celsius (x) and number of ice cream (y) has been sold in a market.
x = 20, 21, 18, 15, 10
y = 125, 128, 80, 70, 50
1) Find the EQUATION OF REGRESSION LINE
2) And when you find it, product how many ice creams may be sold when the temperature is 25 Celsius?
at the time 2:58 p.m., the digits displayed on a clock form an arithmetic sequence in the order in which they appear. how many minutes later will the digits displayed next form an arithmetic sequence?
Answers
It will take forty seven minute (i.e., 47 minute later) for the digits displayed next to form an arithmetic sequence again.
What is Arithmetic Progression?
An arithmetic progression is a sequence of numbers where each term is the sum of the previous term and a constant difference. It is also known as an arithmetic sequence.
At 2:58 p.m., the digits displayed on the clock are 2, 5, and 8, and they form an arithmetic sequence with a common difference of 3.
The next time the digits will form an arithmetic sequence is when the time is 3:45 p.m.
At 3:45 p.m., the digits displayed on the clock are 3, 4, and 5, and they also form an arithmetic sequence with a common difference of 1.
Therefore, it will take forty seven minute (i.e., 47 minute later) for the digits displayed next to form an arithmetic sequence again.
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Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
y=1/2x+8
Step-by-step explanation:
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Which trigonometric ratio is used to find the cosine of a right triangle?
Answers
Answer: Cosine ratios are exactly the same idea of sine ratios or tangent ratios. The only difference between it and the other two trigonometric ratios is that it is the ratio of the adjacent side to the hypotenuse of a right triangle.
concreate can be purchased by th cubic yard. how much will it be to pour a slab 11 feet by 11 feet by three inches for a patio if the concreate cost 63.00 per cubic yard
Answers
It will cost $211.05 to pour the concrete slab for the patio.
First, we have to convert the dimensions of the patio into yards.
11 feet = 3.67 yards (since there are 3 feet in a yard)
Next, we need to convert the depth of the concrete from inches to yards.
3 inches = 0.25 yards (since there are 36 inches in a yard)
Volume of patio is
Volume = Length x Width x Depth
= 3.67 yards x 3.67 yards x 0.25 yards
= 3.35 cubic yards
Cost = Volume x Price
= 3.35 cubic yards x $63.00
= $211.05
Therefore, it will cost $211.05 to pour the concrete slab for the patio.
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Can anyone help me solve for X?
Answers
You would set both equations equal to each other and solve for X considering the sides are consecutive to eachother.
Why are parallelograms always quadrilaterals, but quadrilaterals are only sometimes parallelograms?
Answers
Answer:
Step-by-step explanation:
All the polygons that have four sides are quadrilateral.
Parallelogram is a special type of quadrilateral.
In parallelogram, opposite sides are equal and parallel and opposite angles are equal and the adjacent angles are supplementary.
So, parallelograms are always quadrilateral, as they have four sides
But quadrilateral are only sometimes as it doesn't always have the properties of parallelogram.
Answer:
yes
Step-by-step explanation:
In Linear programming, there are two general types of objectives, maximizatio minimization. Of the four components that provide the structure of a linear programming model, the component that reflects what we are trying to achieve is called the (two words). 14. (5 points total) Use Excel to conduct a linear programming analysis. Make sure that all components of the linear programming model, to include your decision variables, objective function, constraints and parameters are shown in your work A small candy shop is preparing for the holiday season. The owner must decide how many bags of deluxe mix and how many bags of standard mix of Peanut Raisin Delite to put up. The dele mix has 75 pounds of raisings and .25 pounds of peanuts, and the standard mix has 0.4 pounds of raisins and 60 pounds of peanuts per bag. The shop has 50 pounds of raisins in stock and 60 pounds of peanuts Peanuts cost $0.75 per pound and raisins cost $2 per pound. The deluxe mix will sell for $3.5 for a one-pound bag, and the standard mix will sell for $2.50 for a one-pound bag. The owner estimates that no more than 110 bags of one type can be sold Answer the following: a. Prepare an Excel sheet with all required data and solution (2 points) b. How many constraints are there, including the non-negativity constraints? (1 point) c. To maximize profits, how many bags of each mix should the owner prepare? (1 point) d. What is the expected profit?
Answers
a. To solve the linear programming problem in Excel, we can set up a spreadsheet with the necessary data and use the Solver add-in to find the optimal solution. Here's how you can set up the spreadsheet:
Create the following columns:
A: Variable
B: Deluxe Mix Bags
C: Standard Mix Bags
Enter the following data:
In cell A2: Peanuts (lbs)
In cell A3: Raisins (lbs)
In cell B2: 0.25
In cell B3: 75
In cell C2: 60
In cell C3: 0.4
In cell B5: 50 (raisins in stock)
In cell C5: 60 (peanuts in stock)
In cell B6: $0.75 (peanuts cost per pound)
In cell C6: $2 (raisins cost per pound)
In cell B8: $3.5 (selling price of deluxe mix per pound)
In cell C8: $2.5 (selling price of standard mix per pound)
In cell B10: 110 (maximum bags of one type that can be sold)
Set up the objective function:
In cell B12: =B8 * B2 + C8 * C2 (total profit from deluxe mix)
In cell C12: =B8 * B3 + C8 * C3 (total profit from standard mix)
Set up the constraints:
In cell B14: =B2 * B3 <= B5 (constraint for raisins)
In cell B15: =B2 * B2 + C2 * C3 <= C5 (constraint for peanuts)
In cell B16: =B2 + C2 <= B10 (constraint for maximum bags of one type)
In cell C14: =B3 * B3 + C3 * C2 <= B5 (constraint for raisins)
In cell C15: =B3 * B2 + C3 * C3 <= C5 (constraint for peanuts)
In cell C16: =B3 + C3 <= B10 (constraint for maximum bags of one type)
Open the Solver add-in:
Click on the "Data" tab in Excel.
Click on "Solver" in the "Analysis" group.
In the Solver Parameters dialog box, set the objective cell to B12 (total profit).
Set the "By Changing Variable Cells" to B2:C3 (number of bags for each mix).
Set the constraints by adding B14:C16 as constraint cells.
Click "OK" to run Solver and find the optimal solution.
b. There are 7 constraints in total, including the non-negativity constraints for the number of bags and the constraints for the available resources (raisins and peanuts).
c. To maximize profits, the owner should prepare 0 bags of deluxe mix and 50 bags of standard mix.
d. The expected profit can be found in cell B12 (total profit from deluxe mix) and cell C12 (total profit from standard mix). Add these two values to get the expected profit.
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Help with this question
Answers
The answers are:
a). The required monthly percentage rate of APR of 19% is 1.59%.
b). The Monthly percentage rate is 2.08%
c). Oscar pays $0.96 more than Felix.
What was his monthly percentage rate?a). Felix received a card with an APR of 19%; it is unknown what his monthly percentage rate was.
APR = 19%
Given that APR is increased monthly throughout the year,
Monthly rate = 19% / number of months in year
Monthly rate = 19% / 12
Monthly rate = 1.59%
Therefore, 1.59% is the minimum monthly percentage rate for an APR of 19%.
b) Oscar received a credit card with a 21% APR.
Monthly percentage rate = 21%/12 = 1.75%
c). We are informed that for a particular month, each of them had an average daily amount of $800.
Thus;
Felix's payments in full = 800 * 1.63%
Felix's payments in full = $13.04
Amount Oscar issued = 800 * 1.75%
Amount Oscar issued = $14
Variation in Payments = $14 - $13.04 = $0.96
Thus, Oscar pays $0.96 more than Felix.
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whats the length of A, B and C
Answers
Answer:
B should be 3 inches long because the area of the square above is 48 inches squared, so that long side is probably 8. B is 3 inches long. As for A, this should be simple. since we know the longer side of the room has the area of 27, we can tell the length(longest side) is 9. 14 minus 9 is equal to 4. A's width is 4 inches long.
Step-by-step explanation:
for the rest, since we know one of the widths is 6 inches, we know that the length of the room with an area of 32 inches is 8. therefore, since 8 times 4 equals the number 32, C is 4 inches long. back to B. since we know that c is 4 inches long and that there is a length of 11 inches, we can tell the longest side of room A is 7. 4 Times 7 equals 28, so B is 28 inches squared.
Assume that yout parents wanted to have $100,000 saved for college by your 1 eth birthday and they started saving on your first birthday. They saved the same amount each year on your birthday and eamed 5.0% per year on their irvestments. a. How much would they have to save each year to reach their goal? b. If they think you will take five years instead of fout to graduate and decide to have $140,000 saved just in case, how much would they have to save each year to reach their new goal? a. How much would they have to save each year to reach their goal? To reach the goal of $100,000, the amount they have to save each year is $ (Round to the nearest cent.) b. If they think you will take five yoars instend of four to graduate and decide to have $140,000 saved just in case, how much would they have to save each year to reach theit new goal? To reach the goal of $140,000, the amount they have to save each year is $ (Round to the neacest cent)
Answers
a. To reach the goal of $100,000, they would have to save approximately $4,866.96 each year.
b. To reach the new goal of $140,000, they would have to save approximately $6,813.75 each year.
a. To calculate the amount they need to save each year to reach the goal of $100,000, we can use the future value of an ordinary annuity formula. Given that they earn a 5.0% annual interest rate on their investments, and they start saving on your first birthday, they have a total of 17 years to save before you turn 18. Using the formula, we can solve for the annual savings amount:
PV = (PMT / r) * (1 - (1 + r)^(-n))
Where PV is the present value (which is $0 since they haven't saved anything yet), PMT is the annual savings amount, r is the interest rate per period (5.0% or 0.05), and n is the number of periods (17 years).
Substituting the values into the formula, we can solve for PMT
$100,000 = (PMT / 0.05) * (1 - (1 + 0.05)^(-17))
PMT ≈ $4,866.96 (rounded to the nearest cent)
b. If they decide to save for five years instead of four to have $140,000 saved, the calculation is similar. They now have a total of 16 years to save before you turn 18. Using the same formula and substituting the new values
$140,000 = (PMT / 0.05) * (1 - (1 + 0.05)^(-16))
PMT ≈ $6,813.75 (rounded to the nearest cent)
Learn more about annuity formula
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What is the area of a circle with a diameter of 12 meters? leave the answer in terms of π. 6π square meters 12π square meters 36π square meters 144π square meters
Answers
To find the area we have to calculate the radius first. Here the radius is 6m. So the area will be 36π m². Option C is the correct one.
Diameter is the straight line connecting two points on the edge of the circle, that passes through the Centre of the circle. It will be equal to two times the radius.
D = 2r
r = D/2 = 12/2 = 6m
Area of a circle can be calculated using the equation πr².
Area = π × 6² = 36π m²
So the area of the given circle with diameter will be 36π m².
For more information regarding the area of a circle, kindly refer
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The picturegram shows information about CDs sold in a shop.
1 . How manny CDs were sold on Wednesday | Key = 3 |
2. How manny more CDs were sold on Thursday than Wednesday?
**If you know the answer let me know!**
Answers
Answer:
i believe number 1 is 18 and number 2 is 9.
Step-by-step explanation:
if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.