Given data:
The given bill is B= $650.
The given tip is t= 15%=0.15.
The bill after tip is,
\(\begin{gathered} F=B(1+t) \\ =650(1+0.15) \\ =747.5 \end{gathered}\)Thus, the first option is correct.
Which tool is used to draw circles
Answer:
the tool is the compass
Step-by-step explanation:
It affors a high quality circles with precise mesurements
I need help with this
Answer:
Step-by-step explanation:
((((((.5 mile = .25 hour<<<<<<<<<<<<<<<<<<<<<<<<<<
Multiply both sides by 4, because there are 4 quarters in 1 hour
(4)(.5) = (.25)(4)
2 miles =1 hr
Multiply both sides of the original equation by 3 to figure out how far in 3/4 of an hour
(3)(.5) = (3)(.25)
1.5 miles = 3/4 of an hour
now add the two answers together to figure out that the person walked 3.5 miles in 1 3/4 hours
***You also could have multiplied both sides of the original equation by 7, recognizing that that there are 7 quarters in 1.75 hours.
The units of an item available for sale during the year were as follows: Jan. 1 Inventory 50 units at $124 Mar. 10 Purchase 60 units at $132 Aug. 30 Purchase 20 units at $138 Dec. 12 Purchase 70 units at $142 There are 80 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the ending inventory cost and the cost of goods sold by three methods. Round interim calculations to one decimal and final answers to the nearest whole dollar. blank Cost of Ending Inventory and Cost of Goods Sold Inventory Method Ending Inventory Cost of Goods Sold First-in, first-out (FIFO) $fill in the blank 1 $fill in the blank 2 Last-in, first-out (LIFO) fill in the blank 3 fill in the blank 4 Weighted average cost fill in the blank 5 fill in the blank 6
Ending Inventory Cost and Cost of Goods Sold using different inventory methods:
FIFO Method:
Ending Inventory Cost: $11,920
Cost of Goods Sold: $15,068
LIFO Method:
Ending Inventory Cost: $11,996
Cost of Goods Sold: $15,123
Weighted Average Cost Method:
Ending Inventory Cost: $11,974
Cost of Goods Sold: $15,087
Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.
This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.
Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.
This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.
Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.
Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.
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by what percent would a number change if it increased by 5% and the result was also increased by 5%
Answer:
10.25%
Step-by-step explanation:
imagine the number is 100. Increase that by 5% so multiply 100 by 105%. This equals 105. Then increase 105 by 5% so multiply 105 by 105%. This equals 110.25. The original number was 100 so 110.25-100= 10.25. 10.25/100= 10.25%
Hope this is correct :) I'm rly not sure now
Answer:
10%
Step-by-step explanation:
what do expressions (3^3) and (3^4) have in common?
Answer:
they are both 3 with different powers
Step-by-step explanation:
A solid is cut by a plane that is perpendicular to its base, forming a two-dimensional cross section in the shape of a triangle. Which of the following solids could have resulted in that cross section?
Solids or three-dimensional forms are shapes or figures that have three (or more) dimensions. The solid could be a Triangular prism or a pyramid.
What is a solid?Solids or three-dimensional forms are shapes or figures that have three (or more) dimensions. Solid Geometry is the study of the characteristics, volume, and surface area of three-dimensional forms.
Given a solid is cut by a plane that is perpendicular to its base, forming a two-dimensional cross-section in the shape of a triangle. Therefore, the solid could be a Triangular prism or a pyramid.
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Answer: right cone because if you use a right cone and cut it perpendicular to the base you get a triangle making cone triangle the answer.
A file that is 249 megabytes is being downloaded. If the download is 15.7% complete, how many megabytes have been downloaded? Round your answer to the
nearest tenth ?
Answer:
39.1 megabytes
Step-by-step explanation:
Percentages are out of a hundred, so 15.7% is 15.7 out of 100, aka 15.7/100, which is 0.157.
Now, you just need to multiple this number by 249 megabytes to get 0.157 * 249 = 39.093 which rounds to 39.1
Devi invested a principal of $2750 in her bank account with an interest rate of 1.5%. How much simple interest did she earn in 3 years?
the cooler at a softball game holds 5 quarts of sports drink. how many cups of sports drink does the cooler hold
Answer: 20 cups :DD
Step-by-step explanation:
Sarah is cutting a ribbon for a pep rally. The length of each ribbon needs to be 3.68 inches. If she needs 1000 ribbons what is the length of the ribbon Sarah needs?
15) Abby went to the candy store and bought 3/4 of a pound of candy. If 3/8 of Abby’s candy was chocolate,
how many pounds of chocolate candy did Abby buy?
Answer
If 3/8 of Abby's candy was chocolate, then 3/8 pounds of chocolate candy Abby bought.
What is a ratio?
A ratio in mathematics shows how many times one number contains another. For example, if a bowl of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon-to-orange ratio is 6:8, and the orange-to-total fruit ratio is 8:14.
Abby went to the candy store and bought 3/4 of a pound of candy.
So in total, he bought 3/4 of a pound of candy out of which 3/8 candy was chocolate.
Let the number of pounds of chocolate candy Abby bought would have bought be 'x',
So we can prepare the equation as,
\(x=\frac{3}{4}-\frac{3}{8}\\ x=\frac{24-12}{4*8}\\ x=\frac{12}{4*8}\\x =\frac{3}{8}\)
Hence, If 3/8 of Abby's candy was chocolate, then 3/8 pounds of chocolate candy Abby bought.
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find the generating function for the number of ways to distribute blank scratch paper to alice, bob, carlos, and dave so that alice gets at least two sheets, bob gets at most three sheets, the number of sheets carlos receives is a multiple of three, and dave gets at least one sheet but no more than six sheets of scratch paper. without finding the power series expansion for this generating function (or using a computer algebra system!), determine the coefficients on and in this generating function.
The generating function for the number of ways the coefficients on and in this generating function .
Given :
the generating function for the number of ways to distribute blank scratch paper to alice, bob, carlos, and dave so that alice gets at least two sheets, bob gets at most three sheets, the number of sheets carlos receives is a multiple of three, and dave gets at least one sheet but no more than six sheets of scratch paper.
Alice = x^2 + x^3 + ...... so on
Bob = 1 + x + x^2 + x^3
Carlos = 1 + x^3 + x^6+ ..... ... so on
Dave = x + x^2 + x^3 + x^4 + x^5 + x^6
The product of these could be a generating function that may be one idea to explore though if you need separate variables to know who got how many sheets or not.
The minimum term in the product will be x^3 as Alice gets 2 sheets and Dave gets 1 sheet is the minimal solution.
Then i wonder if the x^2 is x^2 or x^2 as there are a couple of ways to see where a 2 could go here.
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what is prime and composite?
Use rounding to estimate the product.
14.25 × 5.102
Answer:
Step-by-step explanation:
1.) round 14.25 to 14 or 14.3
2.) round 5.102 to 5
3.) Multiply 5 and 14= 70
4.) 71.5 would be if you multiplied 5 and 14.3.
Which set of equations shows a way to find 771 - 468?
Answer:
The one that has 303 as the answer is the correct one
Abe digs a hole at a steady rate of (meaning negative) 1.2 feet every hour.
Consider ground level to be 0.
What value represents the elevation of the hole relative to ground level after digging for 2.5 hours?
Enter your answer in the box.
finding the slope of each line?
Answer:
1.) 5/1
2.) -7/8
3.) -4/2
Step-by-step explanation:
The formula of slope m= \(\frac{rise}{run}\)
1.) rise=5 run=1
2.) rise=7 run=-8
3.) rise=4 run=-2
A grocery store has 10 cartons of yogurt for sale, of which 4 are raspberry. What is the probability that a randomly selected carton of yogurt will be raspberry? Write your answer as a fraction or whole number.
Answer:
2/5
Step-by-step explanation:
4 raspberry / 10 total
4/10
2/5
HELP!
Additive volume of rectangular prisms TRUE/FALSE?
how many inches is 10560 feet?
Answer:
126720
Step-by-step explanation:
Which of the following random variables are discrete?
I. L= the number of pages in a randomly selected book
II. A = the number of leaves on a randomly selected tree
III. K= the height of a randomly selected NBA player
a. I only
I and II
b. II and III
c. II and III
d. l,ll, lll
Answer:
Step-by-step explanation:
I and II
Pages in a book and leaves on a tree can be counted precisely. They are discrete.
The height of a person cannot be measured exactly. We can get very good
approximations (to a lot of decimal places) but never exact. This is continuous.
60% of owned dogs in the United States are spayed or neutered. Round your answers to four decimal places. If 31 owned dogs are randomly selected, find the probability thata. Exactly 18 of them are spayed or neutered. b. At most 20 of them are spayed or neutered. c. At least 19 of them are spayed or neutered. d. Between 17 and 25 (including 17 and 25) of them are spayed or neutered.
If 60% of owned dogs in the States are spayed or neutered, and 31 of these are randomly selected, then the probability that exactly 18 of them are spayed or neutered will be (0.15)
As per the question statement, 60% of owned dogs in the United States are spayed or neutered, and 31 such dogs are randomly selected.
We are required to calculate the probability that exactly 18 of the selected 31, are spayed or neutered.
To solve this question, we will need to use the binomial distribution of probability which can be formulated as
[P(X = x) = {(ⁿCₓ) * (pˣ) * q⁽ⁿ⁻ˣ⁾], [where = 0, 1, 2, 3...]
And, ["P" = (binomial probability)],
["x" = (number of times for a specific outcome within "n" trials)]
[{n, x} = (number of combinations)],
["p" = (probability of success on a single trial)],
["q" = (probability of failure on a single trial)],
["n" = (number of trials)]
And here, (x = 18), (n = 30), (p = 0.6), [q = (1 - p) = (1 - 0.6) = 0.4].
Therefore, substituting these values in the above mentioned formula to calculate the binomial distribution of probability, we get,
[P(X = 18) = {(³⁰C₁₈) * (0.6)¹⁸ * (0.4)¹²}]
Or, [P(X = 18) = 0.1473]
Or, [P(X = 18) ≈ 0.15]
Probability: Probability is the branch of Mathematics that deals with numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true, and is calculated as the ratio of the favorable cases to the total number of cases possible.To learn more about Probability and Random Selection, click on the link below.
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Type < or > to make this statement true -a___-b
The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 19. 17 < 23 20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)
To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.
To indicate that the first value is less than the second value, write <.
Alternatively, to indicate that the first value is greater than the second value, write >.
Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36
To determine the direction of inequality, we need to compare the values.
We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.
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The correct question would be as
Write > or < to make each statement true.
11. -5 0
12. 9 -8
13. -7 7
14. 55 -75
15. -32 -24
16. 89 73
17. -58 -51
18. -32 4
19. 17 23
20. 18 -36
-4(2x+9)+3x=6-4(x-3)
Answer x= -54
Hope this helps
What is the quotient of 1.232 x 10^8 and 3.85 x 10^5 expressed in scientificnotation?
The quotient of the numbers are:
\(\frac{1.232\times10^8}{3.85\times10^5}\)Recall the quotient of powers property which states that for a real number a and integers x and y, the following is true:
\(\frac{a^x}{a^y}=a^{x-y}\)Divide the numbers (1.232÷3.85) and apply the quotient of powers property to the powers:
\(0.32\times10^{8-5}=0.32\times10^3=3.2\times10^2\)The quotient expressed in scientific notation is:
\(3.2\times10^2\)Find unit rate $602 for 20 hours of work
5/32 × 64y/100 please help :,)
Answer: y /10
Step-by-step explanation: step 1 = simplify y/100
step 2 = (5/32 x 64) x y/100
step 3 = simplify 5/32
step 4 = (5/32 x 64) x y/100
step 5 = The answer is y/10
367.77642 rounded to the nearest hundredth
Answer:
400
Step-by-step explanation:
if the number was bellow 350 it would be 300 but it's not so 400 is correct
Answer: 367.78
Step-by-step explanation:
hundreds = 3
tens = 6
ones = 7
(DECIMAL PLACE) = .tenths = 7hundredths = 7
thousandths = 6
ten thousandths = 4
hundred thousandths = 2
367.776 [the 7 would round up to an 8]
367.78
Question 4(Multiple Choice Worth 5 points)
(01.02 MC)
A manufacturing firm employs workers to monitor and maintain specialized machines making small metal parts. Which economic questions does this statement
answer?
O How much to produce? How much to charge?
How to produce? How much to produce?
Owhat to produce? For whom to produce?
Owhat to produce? How to produce?
The correct answer is: O How to produce? How much to produce?
The statement "A manufacturing firm employs workers to monitor and maintain specialized machines making small metal parts" answers the economic questions of "How to produce?" and "How much to produce?"
How to produce: The statement indicates that the manufacturing firm has chosen to employ workers to monitor and maintain specialized machines. This suggests that they have made a decision regarding the production process and how they will go about manufacturing the small metal parts.
How much to produce: The fact that the manufacturing firm has employed workers to monitor and maintain the machines implies that they have determined a level of production that is deemed appropriate or necessary. The number of workers and the capacity of the machines can influence the quantity of small metal parts produced.
Therefore, the correct answer is: O How to produce? How much to produce?
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What is the distance between the points (-2, 8) and (7, 13) in the coordinate plane