The numbers of copies of a college textbook sold quarterly over the past four years are: Since the time series has trend and seasonal pattern, to forecast the quarterly sales of the textbook, the following regression equation was found: stack y t with overparenthesis on top equals 2120 space minus 620 space Q t r 1 space minus space 1320 space Q t r 2 space plus space 290 space Q t r 3 space plus space 24 space t , where Q t r 1 , Q t r 2and Q t r 3 are dummy variables corresponding to Quarters 1, 2 and 3, and t = time period. The sales forecast for Quarter 3 of the next year is
Answers
Answer:
The predicted sales for the 4th quarter next year are 2168
Step-by-step explanation:
We formulate the given equation
Yt= 2120 - 620 Qtr 1 t -1320 Qtr 2 t + 290 Q tr3 t + 24 t
Taking the quarter 1 , 2 and 3 to be dummy variable the predicted sales for the 4th qtr are
Now put the values for the corresponding time period as 1,2 and 3
Yt= 2120 - 620 Qtr 1(0) -1320 Qtr 2(0) + 290 Q tr3 (0) + 24 (1)
Y(1)= 2120 + 24 = 2144 ( for year =1)
Y(2)= 2120+ 48= 2168 ( for year =2)
Y(3)= 2120 + 72= 2192 ( for year =3)
where t is the number of years.
So for the next year the fourth quarter sales are predicted to be 2168.
The sales forecast for Quarter 3 of the next year is 2192.
What is a sales forecast?It should be noted that a sales forecast simply means an expression for the expected sales revenue.
In this case, the sales forecast for Quarter 3 of the next year will be calculated thus:
= 2120 + 24(3)
= 2120 + 72
= 2192
Therefore, sales forecast for Quarter 3 of the next year is 2192.
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Related Questions
A pound of rice has a mixture of two types of rice, each costing $10 and $30, if the average cost per is $24, what is the ratio of the different types of rice?
Answers
Answer:
3:7
Step-by-step explanation:
Let x = pounds of the $10 rice in the mixture
Let y = pounds of the $30 rice in the mixture
Total cost of the $10 rice = 10x
Total cost of the $30 rice = 30y
(10x + 30y) / (x + y) = 24
Solve this equation for y/x:
10x + 30y = 24(x + y)
10x + 30y = 24x + 24y
30y - 24y = 24x - 10x
6y = 14x
y/x = 6/14 simplify the fraction
y/x = 3/7
So, the ratio of the two different types of rice (y:x) is 3:7, meaning a pound of the rice mixture has 3 parts of the $30 rice to 7 parts of the $10 rice.
You can afford 1,100 per month monthly mortgage. You've found a 30 year loan at 7% interest.
How much total money will you pay the loan company?
How much of that money is interest?
Real answers only please
Answers
Answer:
These days — with conventional mortgage rates running about 4% — a $1,000 monthly Principle & Interest (P&I) payment gets you a 30-year loan of about $210,000. Assuming a 10% downpayment, that's a $235,000 home
i think this is a similar answer please try to answer this question by the help of this...
Round 78, 950 to the nearest hundred.
Answers
Answer:
79000
Step-by-step explanation:
I hope it helps!!!
If A, dollars are invested at annual interest rate r, compounded
monthly, then after years the account will have grown to
121
A(t) = 40 (1
10 (1 + )"
12
If $2000 is placed into an account eaming 12% annual
interest, compounded monthly, how much will it grow to after
15 years?
Answers
Answer:
$11,991.60
Step-by-step explanation:
An appropriate formula is ...
A = P(1 +r/n)^(nt)
where r is the annual rate, n is the number of time per year interest is compounded, and t is the number of year. P is the principal invested.
Filling in the given numbers, we have ...
A = $2000(1 +0.12/12)^(12·15) = $2000(1.01^180) ≈ $11,991.60
The account balance after 15 years will be $11,991.60.
Find the three numbers in G.P. whose sum is 14 and whose
product is 64.
Answers
Answer: 2, 4, 8
Step-by-step explanation:
Let the numbers be \(\frac{a}{r}, a, ar\)
This means that:
\(\frac{a}{r}+a+ar=14\)\(\left(\frac{a}{r} \right)(a)(ar)=64 \longrightarrow a^{3}=64 \longrightarrow a=4\)Substituting a=4 into the first equation,
\(\frac{4}{r}+4+4r=14\\\\4+4r+4r^{2}=14r\\\\4r^{2}-10r+4=0\\\\2(2r-1)(r-2)=0\\\\r=\frac{1}{2}, 2\)
So, the numbers are \(\frac{4}{1/2}, 4, 4\left(\frac{1}{2} \right)\), or 2, 4, 8
Note that whether you used r=1/2 or r=2, you would get the same answer, it's just that a/r and ar would take different values depending on which r you used.Write the sentence as an equation.
106 more than the quantity 68 times y is the same as 36 decreased by y
Answers
Answer: 68y+106=36-y
Please explain your answer to the question in the picture with steps.
Answers
the sales tax rate in new york city is 8.9%. Find the tax charged on a purchase of $208, and the total cost
Answers
Answer:
$18.51 tax
$226.51 total cost
Step-by-step explanation:
208 x 0.089 = 18.51 tax
The freeman family is barbecuing veggie burgers, corn cobs, and mushroom caps in their local park. If 3/8 of the items barbecued are veggie burgers, and 1/3 of the items barbecued are corn cobs, what fraction of barbecued items are mushroom cps
Answers
Answer:
17/24
Step-by-step explanation:
yeah
Question:-
The area of two similar triangles are 81 cm2 and 49 cm² respectively. If one of the sides of the first triangle is 6.3 cm, find the corresponding side of the other triangle.
Answers
Let's assume that the corresponding side of the second triangle is \(\displaystyle\sf x\).
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:
\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)
To find \(\displaystyle\sf x\), we can solve the proportion above:
\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)
Taking the square root of both sides:
\(\displaystyle\sf \dfrac{x}{6.3} =\sqrt{\dfrac{49}{81}}\)
Simplifying the square root:
\(\displaystyle\sf \dfrac{x}{6.3} =\dfrac{7}{9}\)
Cross-multiplying:
\(\displaystyle\sf 9x = 6.3 \times 7\)
Dividing both sides by 9:
\(\displaystyle\sf x = \dfrac{6.3 \times 7}{9}\)
Calculating the value:
\(\displaystyle\sf x = 4.9\)
Therefore, the corresponding side of the second triangle is \(\displaystyle\sf 4.9 \, cm\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Answer:
Step-by-step explanation:
let's assume that the corresponding side of the second triangle is .
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:
To find , we can solve the proportion above:
Taking the square root of both sides:
Simplifying the square root:
Cross-multiplying:
Dividing both sides by 9:
Calculating the value:
Therefore, the corresponding side of the second triangle is 4.9cm
hope it helped u dear...........
A rectangular floor is 9 yards long and 3 yards wide. What is the area
Answers
27 yards
Step-by-step explanation:
Area = Length • Width
Area = 9 • 3
Area = 27yrds
Which proportion would you use to solve the following problem?
A map has a scale of 1 cm : 5 km. Determine how far apart two cities are if they are 8 cm apart on the map.
Answers
Answer:
A) x=40
Step-by-step explanation:
As 1 cm= 5 km
then, 8 cm= 5*8= 40
Ratio of scale in map to the actual distance in land = 1 cm : 5 km
We can write this ratio in fractional form as :
\( = \tt \frac{1}{5} \)
Distance between two cities in map = 8 cm
Let the distance between two cities in land be x.
This can be written as :
\( \hookrightarrow\tt \frac{1}{5} = \frac{8}{x} \)
Let us solve this equation to find the actual distance between the two cities :
\( = \tt \frac{1}{5} = \frac{8}{x} \)
\( = \tt 1 \times x = 8 \times 5\)
\( \hookrightarrow\color{plum} \tt \: x = 40 \: km\)
Thus, the actual distance between the two cities = 40 km
Therefore, the correct option is (A) \) \frac{1}{5} = \frac{8}{x} \(
Find the work done in moving an object along a vector
F = 3i + 2j - 5k if the applied force is
F = 2i-j-k
Answers
The applied force is W =9.
In Physics, force is described as the push or pull on an object with mass reasons it to alternate its pace. force is an external agent capable of changing a body's country of relaxation or movement. It has importance and a route.
In physics, a force is a power that can change the movement of an object. A force can cause an object with mass to change its pace, i.e., to accelerate. pressure can also be described intuitively as a push or a pull. A pressure has both significance and course, making it a vector quantity.
A valuable focus of your teaching at this degree ought to be to emphasize the concept that a push or a pull is called pressure. There are numerous examples of forces in our normal lives: weight force (i.e. the weight of something) the force of a bat on the ball. The forces of the hairbrush on hair while it's far being brushed.
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Which number represents the height? A) 12 B) 14 C) 15 D) 13
Answers
Answer:
A) 12
Step-by-step explanation: The reason this represents height is because as you can see the lines and in the middle is the 90* angle, so if u measure up you would get ur height. i hope this makes sense. GL brainliest please.
A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25. How many of each type of frust was sold?
Answers
A store sells 5 oranges and 10 apples.
What is the cost amount?
The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.
Here, we have
Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.
We have to determine how many of each type of fruit were sold.
We, let the oranges be x.
let the apples be y.
x + y = 15...(1)
1x + 2y = 25...(2)
We subtract equation(2) from equation(1), we get
y = 10
Now we put the value of y in equation (1) and we get
x + 10 = 15
x= 5
Hence, a store sells 5 oranges and 10 apples.
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daphne is visited periodically by her three best friends: alice, beatrix, and claire. alice visits every third day, beatrix visits every fourth day, and claire visits every fifth day. all three friends visited daphne yesterday. how many days of the next 365-day period will exactly two friends visit her? (2013amc10a problem 17)
Answers
From the given data of Daphne being visited by her friends, 54 days of the next 365-day period will exactly two friends visit her.
To solve this problem, we can use the principle of inclusion-exclusion.
First, we need to find the LCM of 3, 4, and 5, which is 60. This means that every 60 days, Alice, Beatrix, and Claire will visit Daphne on the same day.
Next, we need to find out how many times they will all visit Daphne during the 365-day period. We can do this by dividing 365 by 60 and rounding down to the nearest integer:
365 ÷ 60 = 6 with a remainder of 5
This means that Alice, Beatrix, and Claire will visit Daphne together 6 times during the 365-day period, with the last visit occurring on day 365.
Now we need to count the number of days during the 365-day period when exactly two friends will visit Daphne. To do this, we need to count the number of days when Alice and Beatrix will visit, when Alice and Claire will visit, and when Beatrix and Claire will visit.
Alice and Beatrix will visit on the same day every 12 days (the LCM of 3 and 4). Alice and Claire will visit on the same day every 15 days (the LCM of 3 and 5). Beatrix and Claire will visit on the same day every 20 days (the LCM of 4 and 5).
To count the total number of days when exactly two friends will visit Daphne, we need to subtract the days when all three friends will visit from the total number of days when exactly two friends will visit.
Days when Alice and Beatrix will visit: 365 ÷ 12 = 30 with a remainder of 5 (but we ignore the remainder since we only want to count whole days)
Days when Alice and Claire will visit: 365 ÷ 15 = 24 with a remainder of 5
Days when Beatrix and Claire will visit: 365 ÷ 20 = 18 with a remainder of 5
Total days when exactly two friends will visit: (30 + 24 + 18) - (6 × 2) = 54
Therefore, the answer is (B) 54
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What is it ????????????????????????
Answers
Answer:
1/8 or 8/64
Step-by-step explanation:
its 1/8 you just times them both by 8 it ez
CAN ANYONE PLEASE HELP!’
Answers
Answer:
130 cm³
Step-by-step explanation:
Volume of the pyramid = 1/3 × base area × height
Calculating base area;
Area = length × width
= 8 × 7
= 56 cm²
Now, Volume = ⅓ × 56 × 7
= ⅓ × 392
= 130.6 cm³.
help please:) its a quick question
20 pointss
Answers
Answer:
1rst one
Step-by-step explanation:
Answer:
1st
Step-by-step explanation:
WILL GIVE BRAINLIEST!!
Find the area of a regular pentagon with a radius of 32 to the nearest integer.
Answers
Answer:
2435 units
Step-by-step explanation:
For the past 6 years, a town has held a festival in June. The first year it was held, only 200 people attended. Last year, 814 people attended. Let p represent the number of people who attended any other year. If attendance for the festival has increased every year, which inequality best describes the value of p? A. 200 < p > 814 B. 200 < p < 814 C. 200 > p > 814 D. 200 > p < 814
Answers
The inequality that best describes the value of p is A. 200 < p > 814.
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Let p represent the number of people who attended any other year.
Since there's always an increase, the inequality will be 200 < p > 814.
The correct option is A.
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for a sample size n = 24 and a population parameter of p = 0.4, a normal curve can be used to approximate the sampling distribution.
A. True
B. False
Answers
Answer:False
Step-by-step explanation:
Which property would you use to simplify the following expression 4(y+5)
Answers
For the line that passes through the points (0, 2) and ((6, 0), the xintercept is what the y-intercept is what
Answers
Answer:
x int = 6
y int = 2
Step-by-step explanation:
The temperature was recorded at several times during the day
Answers
Answer:
This doesn't make sense?
Step-by-step explanation:
What is the question?
The expression √5x is equivalent to the expression x√5.
O A. True
OB. False
Answers
Answer: False
Step-by-step explanation:
\(\sqrt{5x}=\sqrt{x} \sqrt{5} \neq x\sqrt{5}\)
what is 3/8 times 3/8?
Answers
Answer:
6/8 or sum idrk im just looking for points
How do I solve a coordinate if the x axis is on top and the y axis is on the right?
Answers
Answer:
don't know but I hope you found out how to do this
The turning points of the graph are (-1.73, -10.39) and (1.73, 10.39). What is the range of the Polynomial function f?
Answers
Given the turning points of the graph:
(-1.73, -10.39) and (1.73, 10.39).
Let's determine the range of the graphed function.
The range of a function is the set of all possible values of y.
The y-values are represented on the vertical axis.
From the graph, we can see the function goes up continuously and goes down continuously.
Therefore, we can say the range of the function is real numbers.
Therefore, the range of the function in interval notation is:
(-∞, ∞)
ANSWER:
rRange: (-∞, ∞)
The chemical element einsteinium -253 naturally loses its mass over time . A sample of einsteinium-253 had an initial mass of 320 grams when we measured it. The relationship between the elapsed t, in days, and the mass,m(t), in grams left in the sample is modeled by the following function: M(t)=320•(0.125)^t/61.4 complete the sentence: the sample loses 87.5% of its mass every ___ days.
Answers
Answer: 61.4
Step-by-step explanation: