Question 9
Jill has a coin collection. She currently has 40 coins and will add 2 new coins to her collection each month. She models this situation with the linear function C(m) = 40 + 2m where is the number of coins in her collection and m
is the number of months that have passed
Which statement best describes the appropriateness of her model?
The model is not appropriate since the two variables are related exponentially
А
The model is not appropriate since the domain of the function must be integral values.
C
The model is appropriate since there is a constant rate of change between the two variables.
D
The model is appropriate since there is a constant percent rate of change between the two variables
Answers
The model is appropriate since there is a constant rate of change between the two variables."
On plotting the given function we can say that it is a equation of line
Also there is a constant rate of change between two variables C and m
So we can say conclude that from the given options third option is correct.
"
Given that , Jill has a coin collection
According to the given condition she currently has 40 coins and will add 2 new coins in the collection each month
According to her the model that represents the given situation is given by the function C(m) = 40 + 2m
where is the number of coins in her collection and m is the number of months that have passed
We have to find out that which of the statements best describes the appropriateness of her model
The given options are
The model is not appropriate since the two variables are related exponentially
The model is not appropriate since the domain of the function must be integral values.
The model is appropriate since there is a constant rate of change between the two variables.
The model is appropriate since there is a constant percent rate of change between the two variables
We can graph the function
\(\rm C(m) = 40 +2m\)
On plotting the given function we can say that it is a equation of line
Also there is a constant rate of change between two variables C and m
So we can conclude that from the given options third option is correct.
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Related Questions
Determine the slope of
the line between each
pair of points.
1. (0, 10) and (3, 12)
Answers
Answer:
(1.5, 11)
Step-by-step explanation:
Solve pls! Lots of points! Question down below!
Answers
Answer:1024 grid squares
Step-by-step explanation:
Let's call the side length of the original piece of graph paper "x".
Since, side length of the cut out square is then (x-2) because the cut out square has to have an integer number of grid squares, and each side of the square would take up 2 grid squares on the graph paper.
The number of grid squares in the cut out square is then (x-2)^2.
The number of grid squares left on the graph paper is 124, so we have:
x^2 - (x-2)^2 = 124
Expanding the right side:
x^2 - x^2 + 4x - 4 = 124
Simplifying:
4x = 128
therefore:
x = 32
therefore original graph paper contains 32 grids i.e 32^2 = 1024
Answer:
any of {128, 133, 140, 160, 224, 320, 380, 700, 1024}
1024 if the original grid was square
Step-by-step explanation:
You want to know how many grid squares are on a piece of graph paper if a square number of grid squares can be cut from it to leave 124 grid squares.
Square graphIf the graph is square to begin with, a square of x² can be removed from its size (x+a)² to leave 124 squares. That is ...
(x +a)² -x² = 124
(a)(2x+a) = 124
The factor pairs of 124 are ...
124 = 1·124 = 2·62 = 4·31
Of these, only 2 and 62 differ by an even number, so we have a=2 and x=30.
The graph paper could be 32 units square originally, having 1024 grid squares.
Rectangular graphThere is nothing in the problem statement that requires the original graph paper be square. If it is not necessarily square, there are 13 possible shapes it could be. Those have 9 different possibilities for numbers of grid squares.
The graph paper could have originally had this number of grid squares:
128 = 4×32 = 8×16. The square removed is 2².133 = 7×19. The square removed is 3².140 = 5×28 = 7×20 = 10×14. The square removed is 4².160 = 8×20 = 10×16. The square removed is 6².224 = 14×16. The square removed is 10².320 = 16×20. The square removed is 14².380 = 19×20. The square removed is 16².700 = 25×28. The square removed is 24².1024 = 32×32. The square removed is 30². . . . . discussed above__
Additional comment
You may notice that removing a 24×24 square from a graph that is 25×28 leaves no border on one side.
These values were found using a search script.
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Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 + 6x + 9) = 3 + 18 2(x2 + 6x) = –3 2(x2 + 6x) = 3 x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 + 6x + 9) = –3 + 9
Answers
The steps that she could use to solve the quadratic equation is determined as 2(x² + 6x + 9) = 18 + 3.
We have Equation: 2x²+ 12x - 3= 0
Now, simplifying the equation as
2x² + 12x - 3 = 0
2x² + 12x = 3
divide both side by 2
x² + 6x = ³/₂
Now, take half of coefficient of x and add the square of it both sides of the equation
(x + 3)² = ³/₂ + 3²
x² + 6x + 9 = 9 + ³/₂
2(x² + 6x + 9) = 18 + 3
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The circle graph shows how Jane's family budgets a total of $45,000 for the year.
Insurance.
$3600
Utilities
$3150
Clothing.
$2700
Transportation
$1350
Entertainment-
$5400
Savings
$4050
Taxes
$7200
Food
$7650
Housing
$9900
Find the percentage of the total budgeted for each category listed below.
Answers
The percentage that each expense has out of the total budgeted amount of $45,000 have been computed, where insurance has 8.00%, Utilities 7.00% and so on.
What is a percentage?
In this case, percentage refers to proportion of each expense from the total budgeted expense of $45,000, which means that in order to total budgeted expense of $45,000, which means that in order to compute the percentage of total budgeted for each expense category, we divide the expense by the total budgeted expense
Insurance=$3600/$45,000=8.00%
Utilities=$3150/$45,000=7.00%
Clothing=$2700/$45000=6.00%
Transportation=$1350/$45000=3.00%
Entertainment=$5400/$45000=12.00%
Savings=$4050/$45000=9.00%
Taxes=$7200/$45000=16.00%
Food=$7650/$45000=17.00%
Housing=$9900/$45000=22.00%
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Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The family would like to have at least $5,000. Which inequality can be used to determine the amount of money the family still needs to save? 2764 x > 5000 2764 x Greater-than-or-equal-to 5000 2764 x Less-than-or-equal-to 5000 5000 x > 2764.
Answers
The amount of money the family still needs to save is $2236.
Linear systemIt is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
Their vacation savings account currently has a balance of $2,764.
The family would like to have at least $5,000.
To findThe amount of money the family still needs to save.
How to find the amount of money the family still needs to save?Forming the equation, we get
Let x be the amount needed to save. then
x + 2764 ≥ 5000
On simplifying, we get
x + 2764 ≥ 5000
x ≥ 5000 - 2764
x ≥ 2236
Thus, the amount of money the family still needs to save is $2236.
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Answer: B
Step-by-step explanation:
hope this helps may you mark me as brainlest and here is proof
Suppose that in a senior college class of 500 students it is found that 210 smoke, 258 drink alcoholic beverages, 216 eat between meals, 122 smoke and drink alcoholic beverages, 83 eat between meals and drink alcoholic beverages, 97 smoke and eat between meals, and 52 engage in all three of these bad health practices. If a member of this senior class is selected at random, find the probability that the student (a) smokes but does not drink alcoholic beverages; (b) eats between meals and drinks alcoholic beverages but does not smoke; (c) neither smokes nor eats between meals. P(S∩D ′
)= 500
88
=0.176 P(E∩D∩S ′
)= 500
31
=0.062 P(S ′
∩E ′
)= 500
171
=0.342
Answers
The probability that a student smokes but does not drink alcohol is 0.176, the probability that a student eats between meals and drinks alcohol but does not smoke is 0.062.
To find the probabilities in this scenario, we'll use the principle of inclusion-exclusion and the given information about the number of students engaging in different health practices.
Let's define the events:
S: Student smokes
D: Student drinks alcoholic beverages
E: Student eats between meals
We are given the following information:
P(S) = 210/500 = 0.42 (210 students smoke)
P(D) = 258/500 = 0.516 (258 students drink alcohol)
P(E) = 216/500 = 0.432 (216 students eat between meals)
P(S ∩ D) = 122/500 = 0.244 (122 students smoke and drink alcohol)
P(E ∩ D) = 83/500 = 0.166 (83 students eat between meals and drink alcohol)
P(S ∩ E) = 97/500 = 0.194 (97 students smoke and eat between meals)
P(S ∩ D ∩ E) = 52/500 = 0.104 (52 students engage in all three practices)
Now, we can calculate the probabilities:
(a) P(S and D') = P(S) - P(S ∩ D) = 0.42 - 0.244 = 0.176
This represents the probability that a student smokes but does not drink alcohol.
(b) P(E and D and S') = P(E ∩ D) - P(S ∩ D ∩ E) = 0.166 - 0.104 = 0.062
This represents the probability that a student eats between meals and drinks alcohol but does not smoke.
(c) P(S' and E') = 1 - P(S) - P(E) + P(S ∩ E) = 1 - 0.42 - 0.432 + 0.194 = 0.342
This represents the probability that a student neither smokes nor eats between meals.
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I really need help asap
Answers
2=77
Your angles have to equal 90 and 180 degrees
So you would have to subtract from the angles and the numbers
If the circle below is cut from the square of plywood below, how many square inches of plywood would be left over? Use π = 3.14, and round your answer to the nearest hundredth
Answers
Answer:
86in²
Step-by-step explanation:
Find the complete question attached
Area of the circle = πr²
Area of the square = L²
Length of the side of the square
r is the radius of the circle
r = L/2 = 20/2 =10in
Given
Length of the side of the circle = 20in
Area of the square = 20²
Area of the square = 400in²
Area of the circle =π(10)²
Area of the circle = 3.14(100)
Area of the circle= 314in²
Amount of plywood left over = 400in²-314in² = 86in²
THIS IS EXPONENTIAL FROM TWO POINTS
If f(x) is an exponential function where f(3.5)=21 and f(6.5)=69, then find the value of f(9), to the nearest hundredth.
Answers
Answer:
i think the answer is 144
Step-by-step explanation:
ohhh so first we should try finding the slope here. since we know the points are (3.5 , 21) and (6.5, 69) we can use the formula to look for the slope
the formula is:
y2 - y1 / x2 - x1
lets substitute
69 - 21 / 6.5 - 3.5
48 / 3
16
f(x) = 16x + b
now we just substitute
btw i dont think we need to find b because this inst a linear equation? im not sure but yea i dont think we need to find the y-intercept
so anyways
f(9) = 16(9)
= 144
if total length of boundary of a circle is 220m. find its diameter
Answers
Answer:
3850m^2
Step-by-step explanation:
hope this helps
Ken and Paul
Trey and Viona have been mowing lawns to earn extra money. Their jobs earn them $52 per week. Ken worked for x amount of weeks and earned an extra of $20. Viona worked for y weeks. From the expressions below, select one that determines the total amount that Ken and Paul earned mowing lawns.
a
72x + 52y
b
52x + 20 + 52y
c
52x − 20 + 52y
d
52x + 72y
Answers
Answer:
B.) 52x + 20 + 52y
Step-by-step explanation:
Trey and Viona have been mowing lawns to earn extra money.Their jobs earn them $52 per weekKen worked for x amount of weeks and earned an extra of $20Viona worked for y weeksThe total amount they earned = $52x + $20 + $52y
Consider a binomial model with 3 time periods. At time t = 0, the stock price is 40 dollars. After one time period, the stock can either go up to 80 dollars or it can go down to 20 dollars. Notice that in the upward jump, the stock price doubles, whereas in the downward jump, the stock price reduces to half the price before the jump. Assume this is true in each subsequent jump. At time t = 3, there are four possible values for the stock price: 320 dollars, 80 dollars, 20 dollars, and 5 dollars. Assume the interest rate r = 0.
Assume the same model for the stock price and interest rate is zero. (a). Consider a Call option with a strike price of 30 dollars that expires at time t = 3. Determine the value of this option at time t = 0. (b). Consider a Put option with the same strike price that expires at time t = 3. Use the put-call parity to determine the value of the option at time t = 0.
Answers
a. To determine the value of a Call option with a strike price of $30 that expires at time t = 3, we need to calculate the option value at time t = 0 using the binomial model.
At each time period, there are two possible stock price movements: an upward jump and a downward jump. We can construct a binomial tree to represent these possibilities.
Starting at time t = 0, the stock price is $40. In the first time period, the stock can go up to $80 or down to $20. In the second time period, the stock can either go up to $160 or down to $40 (from $80), and down to $10 (from $20). Finally, in the third time period, the stock can reach $320, $80, $20, or $5.
To determine the value of the Call option at time t = 0, we need to calculate the option value at each node of the tree and work backwards. At the final nodes (t = 3), we compare the stock prices with the strike price of $30. If the stock price is higher than the strike price, the option value is the difference between the stock price and the strike price. If the stock price is lower, the option value is zero. We then propagate these option values back up the tree, applying the risk-neutral probability and discounting factors at each node, until we reach the initial node (t = 0).
b. Using the put-call parity, we can determine the value of the Put option at time t = 0 by considering the Call option value, the stock price, the strike price, and the present value of the strike price. The put-call parity relationship is given by:
Put Option Value + Stock Price - Call Option Value = Present Value of Strike Price.
In this case, we are given the Call option value from part (a) as the value at time t = 0. The stock price at time t = 0 is $40, and the strike price is $30. Since the interest rate is zero, the present value of the strike price is equal to the strike price itself.
Rearranging the put-call parity equation, we can solve for the Put option value:
Put Option Value = Call Option Value + Present Value of Strike Price - Stock Price.
Plugging in the known values:
Put Option Value = Call Option Value + $30 - $40.
Substituting the Call option value calculated in part (a), we can find the value of the Put option at time t = 0.
In this problem, we are given a binomial model with three time periods and certain stock price movements. We construct a binomial tree to represent the possible stock price paths and determine the value of the Call option at each node of the tree. By comparing the stock prices with the strike price at the final nodes, we calculate the option values at time t = 3 and propagate them back to time t = 0 using the risk-neutral probabilities and discounting factors.
For the Put option, we use the put-call parity relationship to determine its value at time t = 0. By rearranging the equation and substituting the known values, we can find the value of the Put option using the Call option value obtained in part (a). The put-call parity provides a relationship between the values of Put and Call options, stock price, strike price, and the present value of the strike price.
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What is the area of the triangle?
Will mark brainlyest!!
Answers
Answer:
A = 28 sq cm
Step-by-step explanation:
Area of a triangle:
A = 1/2• base•height
= 1/2•7•8
= 28 sq cm
Assuming an angle in Quadrant 1, find the exact value of csc (arccot 4/3).
Answers
The exact value of csc(arccot(4/3)), obtained from the trigonometric ratios for tangent and sine of an angle is; csc(arccot(4/3)) = 5/3
What are the trigonometric ratios?The trigonometric ratios expresses the relationship between the measure of the interior angle of a right triangle and the ratio of the lengths of two of the sides of a triangle.
The value of the trigonometric ratio is; csc(arccot(4/3))
Therefore; cot(θ) = 1/tan(θ) = 4/3
tan(θ) = Opposite side ÷ Adjacent side
1/tan(θ) = Adjacent side/Opposite side = 4/3
The equivalent length of the hypotenuse side is therefore;
Hypotenuse = √(4² + 3²) = 5
The sine of the angle θ = Opposite side/Hypotenuse
The corresponding value of sin(θ) = 3/5
Therefore; csc(θ) = 1/sin(θ) = 1/(5/3) = 3/5
csc(θ) = 1/sin(θ) = 1/(5/3) = 3/5
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A bus length is 33. 5m. A train is 45. 9 m longer than bus. What is length of train?
Answers
The length of the train is 79.4m. To find the length of the train, we need to add the length of the bus and the additional length of the train.
The addition is a mathematical operation that combines two or more numbers to produce a sum. The addition is denoted by the plus sign (+), and it is commutative, meaning that the order in which the numbers are added does not affect the result.
We are given that the bus length is 33.5m and the train is 45.9m longer than the bus. So, we can use the following equation:
Length of train = bus length + additional length
Length of train = 33.5m + 45.9m
Length of train = 79.4m
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For number 8 find the variable using the properties of a parallelogram
Answers
Applying one of the properties of a parallelogram, the value of x is 10°, then 6x=60° and 12x=120°.
QuadrilateralsThere are different quadrilaterals, for example square, rectangle, rhombus, trapezoid, and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, a parallelogram presents some properties that are presented below.
the opposite sides are equal and parallelthe opposite angles and the diagonals are equal.the adjacent angles are supplementary.The figure of the exercise shows two adjacent angles. From the property: the adjacent angles are supplementary, you have:
6x+12x=180
18x=180
x=10°
Therefore, 6x= 6*10=60° and 12x=12*10=120°.
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1/3 divided by 7/9 solution
Answers
Answer:
3/7.
Step-by-step explanation:
1/3 / 7/9
Invert the 7/9 and multipliply:
= 1/3 * 9/7
= 9 / 21
= 3/7
For fractions, multiplying by the reciprocal is the same as dividing (because it is the reverse operation). The reciprocal of 7/9 is 9/7. Set up an equation and multiply straight across:
(1/3) • (9/7) = 9/21, which can simplify by dividing the numerator and denominator by a common factor of 3. 9 div 3 = 3 and 21 div. 3 = 7.
So the answer is = 3/7.
If you purchase a car for $20,000 and you finance it at 8% interest. What is the
most you could expect to pay in interest for the first year?
O $1400
$1500
O $1600
$1700
Answers
If you purchase a car for $20,000 and you finance it at 8% interest, the most you could expect to pay in interest for the first year is C. $1,600.
How is the interest determined?The finance charge, which includes the interest and other finance fees, is determined by multiplying the annual percentage rate (APR) and the credit amount.
The cost of the car = $20,000
Annual percentage rate = 8%
Interest for the first year = $1,600 ($20,000 x 8%)
Thus, you will not pay more than $1,600 in interest for the first year.
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Which is equivalent to the ratio 35:100
Answers
Answer:
D
Step-by-step explanation:
35:100
/5. /5
7:20
and you cant simply anymore
Answer: D. 7:20
Step-by-step explanation: Because 35 divided by 5 =7
And 100 divided by 5 =20
So the answer is (D.) 7:20
writing equations of lines parallel and perpendicular to a given line through a point
Answers
To find the equation of a line parallel or perpendicular to a given line through a point, determine the slope and substitute the point's coordinates into the slope-intercept form.
To find the equation of a line parallel or perpendicular to a given line through a specific point, follow these steps:
1. Determine the slope of the given line. If the given line is in the form y = mx + b, the slope (m) will be the coefficient of x.
2. Parallel Line: A parallel line will have the same slope as the given line. Using the slope-intercept form (y = mx + b), substitute the slope and the coordinates of the given point into the equation to find the new y-intercept (b). This will give you the equation of the parallel line.
3. Perpendicular Line: A perpendicular line will have a slope that is the negative reciprocal of the given line's slope. Calculate the negative reciprocal of the given slope, and again use the slope-intercept form to substitute the new slope and the coordinates of the given point. Solve for the new y-intercept (b) to obtain the equation of the perpendicular line.
Remember that the final equations will be in the form y = mx + b, where m is the slope and b is the y-intercept.Therefore, To find the equation of a line parallel or perpendicular to a given line through a point, determine the slope and substitute the point's coordinates into the slope-intercept form.
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Camila started reading a 500 page book. She read of the book in hour. What is the maximum number of pages can she read in hour if she reads at the same rate?
A.
10 pages
B.
15 pages
C.
40 pages
D.
20 pages
Answers
Answer:
Need more information
Step-by-step explanation:
I need to know what percentage/fraction of the book she read in 1 hour or any other information about the rate she is reading
Select the correct answer. which value of n makes the equation true? a. -16 b. -4 c. 4 d. 16
Answers
The value of n that makes the equation (-1/2)*n = -8 true is n = 16. We can find this answer by simple arrangement of equation.
In this equation, we have the product of (-1/2) and n equal to -8. To find the value of n, we can solve for it by dividing both sides of the equation by (-1/2). Dividing -8 by (-1/2) gives us 16. Therefore, the value of n that satisfies the equation is 16.
In summary, the answer is D) 16. By dividing both sides of the equation (-1/2)*n = -8 by (-1/2), we find that n = 16 is the value that makes the equation true.
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The complete question is:
Which value of n makes the equation true? (-1/2)*n = -8
A.) -16
B.) -4
C.) 4
D.) 16
Please help me solve fraction busters
Answers
The exchange of dialogue that is formatted correctly is option B: "Call on me!" Buster said, raising his hand. The teacher's gaze darted around the classroom. "Anyone besides Buster?" he asked.
When formatting dialogue, there are a few rules to follow. First, each speaker's dialogue should be separated into its own paragraph. Second, the speaker's words should be enclosed in quotation marks. Third, any punctuation that belongs to the dialogue (such as a question mark or exclamation point) should be included within the quotation marks. Fourth, if the dialogue is split by a dialogue tag (such as "he said" or "she asked"), the tag should be separated from the dialogue by a comma. Option B follows all of these rules correctly. The speaker's dialogue is separated into its own paragraph, enclosed in quotation marks, and includes the appropriate punctuation within the quotation marks. The dialogue tag ("he asked") is separated from the dialogue by a comma.
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3. How many square feet of flooring are needed to
cover the entire floor of Bedroom 1?
Bedroom 1
Scale: 1in. = 4 ft
The gridlines are spaced 1 inch apart.
Answers
Answer: The bedroom is 8 gridlines by 10 gridlines.
Step-by-step explanation:
The area of the bedroom is 8 x 10 gridlines, or 80 square gridlines.
Multiply this by 4 to get the number of square feet needed to cover the entire floor of Bedroom 1:
80 x 4 = 320 square feet
What values for theta (0≤theta≤2π) satisfy the equation?
Equation: 3 sin theta = sin theta - √3
Plss help!
Answers
Answer:
Option (1)
Step-by-step explanation:
For convenience sake, I will be omitting the arguments of the trig functions.
3sin = sin - sqrt(3)
2sin = -sqrt(3)
sin = -sqrt(3)/2
So, the answer is 4pi/3 and 5pi/3.
local bank is using Winters' method with α = 0.2,
β = 0.1, and γ = 0.5 to forecast the number of
customers served each day. The bank is open Monday through Friday.
At the end of the previous week,
Answers
The exact forecasted number of customers to be served on each of the next five business days, rounded to one decimal place, are as follows:
Tuesday: 389.1
Wednesday: 368.7
Thursday: 326.5
Friday: 510.9
To forecast the number of customers served on each of the next five business days using Winters' method, we need to follow these steps:
Calculate the seasonal factor for each day by multiplying the seasonal index by the level.
Monday: 1.10 × 20 = 22
Tuesday: 0.95 × 20 = 19
Wednesday: 0.90 × 20 = 18
Thursday: 0.80 × 20 = 16
Friday: 1.25 × 20 = 25
Update the level and trend using the following formulas:
New Level = α × (Actual Value / Seasonal Factor) + (1 - α) × (Previous Level + Previous Trend)
New Trend = β × (New Level - Previous Level) + (1 - β) * Previous Trend
For Tuesday:
New Level = 0.2 × (30 / 22) + 0.8 × (20 + 1) = 20.3636
New Trend = 0.1 × (20.3636 - 20) + 0.9 × 1 = 0.0364
Forecast the number of customers served on each subsequent day using the formula:
Forecast = (New Level + Forecasted Trend) × Seasonal Factor
Tuesday Forecast = (20.3636 + 0.0364) × 19 = 389.0909
Wednesday Forecast = (20.3636 + 0.0364) × 18 = 368.7273
Thursday Forecast = (20.3636 + 0.0364) × 16 = 326.5455
Friday Forecast = (20.3636 + 0.0364) × 25 = 510.9091
Therefore, the forecasted number of customers to be served on each of the next five business days, rounded to one decimal place, are as follows:
Tuesday: 389.1
Wednesday: 368.7
Thursday: 326.5
Friday: 510.9
The question should be: A local bank is using Winters' method with α = 0.2, β= 0.1, and γ = 0.5 to forecast the number of customers served each day. The bank is open Monday through Friday. At the end of the previous week, the following seasonal indexes have been estimated: Monday, 1.10; Tuesday, 0.95; Wednesday, 0.90; Thursday, 0.80; Friday, 1.25. Also, the current estimates of level and trend are 20 and 1. After observing that 30 customers are served by the bank on this Monday, forecast the number of customers who will be served on each of the next five business days. Round your answers to one decimal place, if necessary.
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More info a. Theoretical capacity-based on three shifts, completion of five motorcycles per shift, and a 360 -day year-3 −3×360=5,400. b. Practical capacity-theoretical capacity adjusted for unavoidable interruptions, breakdowns, and so forth-3 −4×320=3,840. c. Normal capacity utilization-estimated at 3,240 units. d. Master-budget capacity utilization-the strengthening stock market and the growing popularity of motorcycles have prompted the marketing department to issue an estimate for 2020 of 3,600 units. Requirement 2. What are the benefits to Zippy, Inc., of using either theoretical capacity or practical capacity? to managers. As a general rule, however, it is important on the production-volume variance as a measure of the economic costs of unused capacity. Requirement 3. Under a cost-based pricing system, what are the negative aspects of a master-budget denominator level? What are the positive aspects? What are the negative aspects of a master-budget denominator level? referred to as the demand spiral. What are the positive aspects? The positive aspects of the master-budget denominator level are that is based on for the product and indicates the price at which would be recovered to enable the company to make a profit.
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The benefits of using the theoretical capacity for Zippy, Inc. include providing a maximum production potential based on ideal conditions, aiding in long-term planning, and setting performance benchmarks. Practical capacity considers unavoidable interruptions and breakdowns, providing a more realistic estimate. The negative aspect of a master-budget denominator level is the potential for unused capacity costs, while the positive aspect is using a predetermined cost base for pricing decisions.
Theoretical capacity, based on three shifts and completion of five motorcycles per shift, gives Zippy, Inc. a maximum production potential of 5,400 units per year. This capacity measure helps in long-term planning, resource allocation, and setting performance benchmarks. On the other hand, practical capacity takes into account unavoidable interruptions, breakdowns, and other factors that can impact production. It provides a more realistic estimate of 3,840 units.
Regarding cost-based pricing, the negative aspect of a master-budget denominator level is that it may lead to unused capacity costs. If the estimated demand falls below the master-budget level, there could be underutilized resources, resulting in economic costs for the company. However, the positive aspect of using a master-budget denominator level is that it provides a predetermined cost base for pricing decisions. It helps in setting prices that ensure the company's costs are covered and profitability is achieved.
In summary, theoretical capacity aids in long-term planning and setting benchmarks, while practical capacity considers interruptions. The negative aspect of a master-budget denominator level is unused capacity costs, but it provides a predetermined cost base for pricing decisions, ensuring cost recovery and profitability.
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help me on this ill give brainliest
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Answer:
1, 3, and 4 are correct
Step-by-step explanation:
We know that to find the radius, we divide the diameter by 2, so the first one is correct.We know that the second one is incorrect because we just said that we would divide the diameter by 2 for the radius, so we would multiply the radius by 2 to find the diameter.The third statement is correct because the circumference is approximately 3 times bigger than the diameter.The fourth statement is correct because the circumference is equal to pi times 2 times the radius.If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
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if a is an nxn matrix that has n linearly independent eigenvectors, prove that also has n linearly independent eigenvectors.
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To prove that a matrix A with n linearly independent eigenvectors also has n linearly independent eigenvectors, we need to use the fact that eigenvectors corresponding to distinct eigenvalues are linearly independent.
Let λ1, λ2, ..., λn be the n distinct eigenvalues of A with corresponding eigenvectors v1, v2, ..., vn, respectively. Since these eigenvectors are linearly independent, we know that any linear combination of them that equals the zero vector must have all coefficients equal to zero.
Suppose now that there exists a linear combination of these eigenvectors that equals the zero vector, say c1v1 + c2v2 + ... + cnvn = 0, where not all ci are zero. Without loss of generality, assume that c1 is nonzero. Multiplying both sides of this equation by A, we obtain
c1λ1v1 + c2λ2v2 + ... + cnλnvn = 0.
Since λ1, λ2, ..., λn are distinct, we know that λ1 cannot be equal to λ2, λ3, ..., λn. Therefore, we can divide both sides of the above equation by λ1 and obtain
c1v1 + (c2λ2/λ1)v2 + ... + (cnλn/λ1)vn = 0.
This equation shows that we have a nontrivial linear combination of the eigenvectors that equals the zero vector, contradicting the assumption that they are linearly independent. Therefore, our original assumption must be false, and we conclude that A has n linearly independent eigenvectors.
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