Answer:
b) update the Retained Earnings account.
Step-by-step explanation:
A major purpose of preparing closing entries is to - update the Retained Earnings account.
Retained earnings are defined as those profits, that a company has earned to date minus any dividends or other money paid to investors.
Whenever we make an entry to the accounting records, that affects a revenue or expense account, this retained earning amount is adjusted.
The major purpose of preparing closing entries is to update the Retained Earnings account by transferring the balances of temporary accounts to it, effectively resetting these accounts for the next period. This ensures that the company's financial statements only reflect the transactions of the current period.
Explanation:The student's question relates to the major purpose of preparing closing entries in accounting. The correct answer to the question is b) update the Retained Earnings account. Closing entries are an essential part of the accounting cycle that serves to transfer the balances of temporary accounts (like revenues, expenses, dividends/distributions, and income summary) to the Retained Earnings account to reflect the changes that occurred over the period. This process resets the balance of the temporary accounts to zero, ready for the next accounting period, while updating the balance of the Retained Earnings to reflect the net income or loss that was earned or incurred during the period.
'T-accounts' help visualize the transactions and balances of accounts including assets, liabilities, and equity. When closing entries are made, we are not adjusting asset or liability accounts (which are permanent accounts) directly. Instead, we close temporary accounts to a permanent equity account, typically Retained Earnings, based on the principle that assets will always equal liabilities plus net worth.
The steps in preparing closing entries generally involve: first, closing all revenue accounts to Income Summary; second, closing all expense accounts to Income Summary; third, closing the Income Summary account to Retained Earnings; and lastly, closing any dividends or distributions to Retained Earnings.
On an island where knaves never tell the truth and knights always tell the truth, you meet 3 of the island's inhabitants: Fred, George, and Quincy. You ask Fred, "Are you a knave?" Fred says the answer to the other natives, but you can't hear him. George turns to you and says that Fred denied being a knave. Quincy says Fred is a knave. How many of the three are knaves?
Answer:
There is one knave
Step-by-step explanation:
Let's analyze the two possible scenarios, from the unheard Fred's answer
- SCENARIO 1: Fred is a knave.
If Fred is a Knave, he must have told to the other natives that he wasn't, remember that Knaves will never tell the truth. In that sense, George said that Fred denied being a knave, he would be telling the truth (Fred is a knight) and Quincy said that Fred is a knave, which would also be true (Quincy is a knight too).
-SCENARIO 2: Fred is a knight
If Fred is a knight, he must have told to the other natives that he wasn't a knave, he would be telling the truth. In this case, George would also be telling the truth by ensuring that Fred denied being a knave (Fred is a knight). However, Quincy would be lying to ensure that Fred is a knave. In this scenario Quincy is the knave
In conclusion, in both scenarios, there is only one knave.
Good Stuff is giving away free pens to each of the first 200 people who come in the store today. In the first hour, they gave away 25% of the pens. How many is this?
Answer:
50 pens
Step-by-step explanation:
x= 25 percent of 200
25/100 times X/200
Cross multiply them and you get
100x=5000
X=5000/100
X=50
25 percent of 200 is 50.
Which means they have away 50 pens
Find the volume of the rectangular prism
Answer:
○ C 432 cm.³
Step-by-step explanation:
[tex]whl = V[/tex]
[tex]432 = (6)(9)(8)[/tex]
I am joyous to assist you anytime.
On a square gameboard that is divided into n rows of n squares each, k of these squares do not lie along the boundary of the gameboard. If k is one of the four numbers 10, 25, 34, or 52, what is a possible value for n?
To find a possible value for n given the number of squares not along the boundary of a gameboard, set up an equation and solve it using the quadratic formula.
Explanation:The number of squares that do not lie along the boundary of the gameboard can be found by subtracting the number of squares along the boundary from the total number of squares on the gameboard. The total number of squares on the gameboard is n×n, and since there are n squares along each side of the gameboard, the number of squares along the boundary is 4n. Therefore, the number of squares that do not lie along the boundary is n×n - 4n.
Given these equations, we can set up an equation for each possible value of k:
10 = n×n - 4n25 = n×n - 4n34 = n×n - 4n52 = n×n - 4nWe can solve these equations to find the possible values of n. For the first equation, arranging the terms gives us the quadratic equation n×n - 4n - 10 = 0. By solving this quadratic equation using the quadratic formula, we can find the possible values of n that satisfy the equation. Similarly, we can do the same for the remaining equations to find all possible values of n.
Learn more about Quadratic Equations here:https://brainly.com/question/34196754
#SPJ2
Reinhardt Furniture Company has 40,000 shares of cumulative preferred 2% stock, $150 par and 100,000 shares of $5 par common stock. The following amounts were distributed as dividends: Year 1 $70,000 Year 2 200,000 Year 3 320,000 Determine the dividends per share for preferred and common stock for each year. If an answer is zero, enter '0'. Round all answers to two decimal places.
Answer:
for year 1
common stock = $1.75 per share
preferred stock = Zero
for year 2
common stock = $4.25 per share
preferred stock = $0.3 per share
for year 3
common stock = $3 per share
preferred stock = $2 per share
Step-by-step explanation:
step 1
preferred stock value = (40000 shares * $150) = $6000000
common stock value = (100000 shares * $5) = $500000
step 2
For year 1:
Dividend on preferred stock;
[tex]\frac{6000000 * 2}{100}[/tex] = $120000
But total dividend in the question was $70000 therefore total amount of dividend on cumulative preferred stock is $70000.
hence, dividend per share
[tex]= \frac{70000}{40000 shares}[/tex] = $1.75 per share
Dividend on common stock;
70,000 - 70,000 = Zero
as total dividend distributed in year 1 is insufficient for cumulative preferred stock therefore no dividend will be paid on common stock.
For year 2:
Dividend on cumulative preferred stock;
[tex]\frac{6000000 * 2}{100}[/tex]= $120000
extra dividend of year 1 ($120000 - $70000) = $50000
Thus total dividend on cumulative preferred stock
($120000 + $50000) = $170000
So dividend per share
[tex]\frac{170000}{40000\ shares}[/tex]= $4.25 per share
Dividend on common stock;
($200000 – $170000) = $30000
dividend per share
[tex]\frac{30000}{100000\ shares}[/tex] = $0.3 per share
For year 3:
Dividend on cumulative preferred stock;
[tex]\frac{6000000 * 2}{100}[/tex] = $120000
total dividend on cumulative preferred stock $120000
dividend per share
[tex] \frac{120000}{40000 shares}[/tex] = $3 per share
No dividend was extra in the year 2 therefore only available dividend of this year will be paid.
Dividend on common stock;
($320000 – $120000) = $200000
dividend per share
[tex]\frac{200000}{100000\ shares}[/tex]= $2 per share
Identify Who and What were investigated and the Population of interest. A study found that after a meal, a woman can tell whether a man is married or single by looking at his face. The study involved 40 undergraduate women who were asked to guess the marital status of 80 men based on photos of their face. Half of the men were married, and the other half were single. All held similar expressions in the photos. All the women had eaten the same meal at the time of the test. The result was that the closer a woman was to her last meal, the more accurate her guess.
(A) The 40 married men
(B) The 80 men whose faces were used in this study
(C) The 40 undergraduate women
(D) The 40 single men
(E) The researchers in the study
(F) The Who is not specified
The study investigated whether a woman can accurately guess a man's marital status based on his face after a meal. The population of interest included 40 undergraduate women who guessed the marital status of 80 men based on their photos. The accuracy of the guesses improved with proximity to the women's last meal.
Explanation:The study investigated whether a woman can accurately guess the marital status of a man by looking at his face after a meal. The population of interest consisted of 40 undergraduate women who were asked to guess the marital status of 80 men based on photos of their faces. Half of the men were married, and the other half were single. The researchers also found that the accuracy of the guesses increased the closer a woman was to her last meal.
Learn more about Investigation of accurate guessing of marital status using facial features here:https://brainly.com/question/32158689
#SPJ2
The diagram shows a flat surface containing in line in a circle with no point in common. Can you visualize the movie my indoor circle so that they inspect it exactly one point? Two points? Three points? Explain each answer and illustrate each with an example when possible?
Step-by-step explanation:
A line and circle intersect at exactly one point if the line is tangent to the circle.
A line and circle intersect at exactly two points if the line is a secant line to the circle.
A line and circle cannot intersect at three points.
See attached diagram.
Explanation:
A line that intersects a circle at exactly two points is considered a secant line.
A line that intersects a circle at exactly one point is considered a tangent line.
* I apologize for not having the illustrations, but at least you know what they look like from what that user sent.
You can never intersect a circle at three points.
I am joyous to assist you anytime.
The use of the relative frequency method to develop discrete probability distributions leads to what is called a a. binomial discrete distribution. b. non-uniform discrete distribution. c. uniform discrete distribution. d. empirical discrete distribution.
Answer:
d. empirical discrete distribution
Step-by-step explanation:
Empirical refers to what you observe, in this case the relative frequency
Discrete probability distributions is what you are trying to develop.
a, b and c are different forms an empirical discrete distribution can take. You could say that a,b and c are "types" of the "empirical discrete distribution"
The use of the relative frequency method leads to an empirical discrete distribution, which reflects observed frequencies in a sample and is distinct from theoretical models like the binomial distribution.
The use of the relative frequency method to develop discrete probability distributions leads to what is known as an empirical discrete distribution. This method involves determining probabilities based on the frequency of observed outcomes in a sample. In contrast, other discrete distributions such as the binomial distribution, hypergeometric distribution, and Poisson distribution are based on mathematical models with specific properties and assumptions beyond empirical observation.
An empirical discrete distribution captures the observed frequencies of outcomes in a sample and uses these frequencies as probabilities. It does not assume a specific theoretical distribution model, unlike the uniform distribution which assumes each outcome is equally likely, or the binomial distribution which is based on a fixed number of independent trials with a constant probability of success.
What is the value of x?
Help me.
Answer:
x = 50
Step-by-step explanation:
The two angles are vertical angles, so they are congruent. Congruent angles have equal measures. Set the angle measures equal to each other, and solve the equation for x.
2(x + 10) = 3x - 30
Distribute on the left side.
2x + 20 = 3x - 30
Subtract 2x from both sides.
20 = x - 30
Add 30 to both sides.
50 = x
x = 50
Answer:
x=50
Step-by-step explanation:
2x+20 = 3x-30
2x+50 = 3x
50 = x
Determine whether the relation shown here is a function.
Answer:
this is not a function because the 2 is used twice
Answer: "D"
Step-by-step explanation: The mapping diagram shown here would not represent a function. When looking at a mapping diagram, there is one key thing we need to look for to identity if the relation is a function. We need to look and see if an input has two different outputs. When looking at the mapping diagram, the input (2) has two completely different outputs which makes this hard to interpret data. This means that the relation is not a function.
When dealing with mapping diagrams, remember that an input can only have one corresponding output and if it has more than one, then this would not represent a function.
Write an equation of the line with the given slope, m, and y-intercept (0,b).
m=8, b=3
The equation is______
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
Answer:
[tex]y = 8x + 3[/tex]
Step-by-step explanation:
All you have to do is take the given information and put it into the Slope-Intercept Formula.
I am joyous to assist you anytime.
Three quarter of the students running a 100-yard race finished with an average time of 16 seconds. The remaining 25% of students finished with an average time of 12 seconds. What was the average time overall?
Answer:
15 seconds
Step-by-step explanation:
Because the split id 25% and 75%, we could create another average pretending that there are four kids, one who ran in 12 seconds, and three who ran in 16.
Equation for averages: (a₁ + a₂ + a₃ + ... [tex]a_{n}[/tex])/ n
Plug in: (12 + 16 + 16 + 16)/4
Add: 60/4
Divide: 15 seconds
A maple syrup producer would like to increase production by 500 gallons per each consecutive year with a goal of producing at least 20,000 gallons of syrup cumulatively for the first five year period of production.
If the first year’s production, in gallons, is given by x, write expressions for each of the other years’ productions.
Year 1 = x Year 2 = Year 3 = Year 4 = Year 5 =
b) Find all possible values of syrup that could be produced the first year to meet the goal of at least 20,000 gallons cumulatively over the five-year period. You must set up a mathematical formula/rule and solve algebraically.
Answer:
b) x ≥ 3000 gallons
Step-by-step explanation:
Part a)
Production of Year 1 = x gallons
By each year the producer will increase the production by 500 gallons. So,
Production in Year 2 = x + 500 gallons
Similarly,
Production in Year 3 = x + 500 + 500 = x + 1000 gallons
Production in Year 4 = x + 1000 + 500 = x + 1500 gallons
Production in Year 5 = x + 1500 + 500 = x + 2000 gallons
Part b)
The maple syrup producer wants to produced atleast 20,000 gallons in 5 years.
Total amount produced in 5 years = x + x + 500 + x + 1000 + x + 1500 + x + 2000
Total amount produced in 5 years = 5x + 5000
Since, producer wants total production to be atleast 20,000, we can set up the inequality as:
5x + 5000 ≥ 20000
Subtracting 5000 from both sides, we get:
5x ≥ 15000
Dividing both sides by 5, we get:
x ≥ 3000
This means, in the first year the production of maple syrup must be atleast 3,000 gallons i.e 3000 gallons or more to have a total of atleast 20,000 gallons in 5 years.
The width of a rectangle is 1 2 of its length. What are the sides of the rectangle if its perimeter is 63 in.? Answer: The width is in, the length is in
Answer:
The length of the rectangle is 21 inches, the width of the rectangle is 10.5 inches
Step-by-step explanation:
Let x inches be the length of the rectangle, then the width of the rectangle is [tex]\dfrac{1}{2}x[/tex] inches.
The perimeter of the rectangle is the sum of all sides' lengths:
[tex]P_{rectangle}=2(\text{Width}+\text{Length})[/tex]
Thus,
[tex]63=2\left(x+\dfrac{1}{2}x\right) \\ \\63=2\cdot \dfrac{3}{2}x\\ \\63=3x\\ \\x=21[/tex]
Hence, the length of the rectangle is 21 inches, the width of the rectangle is 10.5 inches.
The length of the rectangle is 21 inches, the width of the rectangle is 10.5 inches
Step-by-step explanation:
Let x inches be the length of the rectangle, then the width of the rectangle is inches.
The perimeter of the rectangle is the sum of all sides' lengths:
Thus,
Hence, the length of the rectangle is 21 inches, the width of the rectangle is 10.5 inches.
It takes Natasha 33 minutes to walk to the pool from her house. If she rides her bike, it takes her 1/3 of that time. Natasha leaves her house for the pool at 3:12. If she is riding her bike, what time will she arrive
Answer:
She will arrive at 3:23 to the pool.
Step-by-step explanation:
Since Natasha takes 33 minutes to walk through the pool from her house.
Also, if she rides a bike then that time is 1/3 times reduced.
So total time to ride the bike from her house to the pool is [tex]33\times\frac{1}{3}=11 minutes[/tex]
Now, If she leaves the house at 3:12 then she will reach to the pool is 3 hours 12 minutes + 11 minutes = 3 hours 23 minutes = 3:13
Hence, She will arrive pool at 3:23.
A painter designs a mural with the shape shown below. One pint of paint will cover 50 square feet. How many whole pints of paint will the painter need to paint the mural?
Answer:
You need the total of square feet of the mural before you can divide 50 square feet to it and get your answer of how many pints of paint you will need.
For example.
Mural size is 2800 square feet
1 pint per 50 square feet
Work out problem.
2800 square feet ÷ 50 square feet= ?
= 56 pints of paint
(x,y) (7,11) (8,13) (9,15) (10,17) Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.
Answer:
no direct variation
Step-by-step explanation:
The y/x ratio varies, so the variation is not direct.
11/7 ≠ 13/8 ≠ 15/9 ≠ 17/10
A seven-digit number has a 0 in the ones place,a 6 in the ten thousands place, an 8 in the millions place, and fives in each of the remaining places and what is the number
So this number is going to be a seven-digit number, and in the ones place, there will be a 0, giving us ?.???.??0. When a 6 is in the ten thousands place and the 8 in the millions place, it would be 8,?6?,??0. Now the rest of the places that are missing a number is going to be five, which is 8,565,550. The answer is 8,565,550.
Hope this helped!
Nate
Plot the inequality on the number line.
x ≤ 1 or x>8
Answer:
See the picture
Step-by-step explanation:
Interval (-∞, 1] U (8, ∞)
On a number line the inequality x ≤ 1 shows all the numbers less than 1 and x>8 shows all the numbers greater than 8.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.
The graph of the two inequality is attached with the answer below where the inequality x ≤ 1 shows all the numbers less than 1 and x>8 shows all the numbers greater than 8.
To know more about inequality follow
https://brainly.com/question/24372553
#SPJ2
Which graph represents the solution set for the inequality StartFraction one-half EndFraction x is less than or equal to 18.x ≤ 18? A number line from 0 to 10 in increments of 1. A point is at 9 and a bold line starts at 9 and is pointing to the right. A number line from 0 to 60 in increments of 6. A point is at 36 and a bold line starts at 36 and is pointing to the right. A number line from 0 to 10 in increments of 1. A point is at 9 and a bold line starts at 9 and is pointing to the left. A number line from 0 to 60 in increments of 6. A point is at 36 and a bold line starts at 36 and is pointing to the left.
Answer:
A number line from 0 to 60 in increments of 6. A point is at 36 and a bold line starts at 36 and is pointing to the left. ⇒ last answer
Step-by-step explanation:
* Lets explain how to solve the problem
- When solving an inequality, there are some important points:
# If the inequality is x > a, then it represented on the number line by
a ray with empty small circle as end starts at a and pointed to
the right (⇒ ∞)
# If the inequality is x ≥ a, then it represented on the number line by
a ray with bold small circle as end starts at a and pointed to the
right (⇒ ∞)
# If the inequality is x < a, then it represented on the number line
by a ray with empty small circle as end starts at a and pointed to
the left (⇒ -∞)
# If the inequality is x ≤ a, then it represented on the number line by
a ray with bold small circle as end starts at a and pointed to the
left (⇒ -∞)
* Lets solve the problem
∵ 1/2 x ≤ 18
- Multiply both sides by 2
∴ x ≤ 36
- To represent it draw a number line from 0 to 60 and the counted
by 6 as 0, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
- Draw a ray with bold end starts at 36 and pointed to the left
∴ A number line from 0 to 60 in increments of 6. A point is at 36 and
a bold line starts at 36 and is pointing to the left.
Answer:
Option: D
Step-by-step explanation:) hope this helps have a great day ! :)
brainliest would be very appreciated
You are competing in a game with 2 other players with a 21-faces dice (labeled 1-21). All three of you gets to choose a number and then roll the dice. Whoever chose the number closest to the outcome wins. What is your strategy?
Answer:
This is actually an interview question for IT jobs!
The game strategy changes if there can be communication or not.
If there is no communication then I would pick the expected value of the game, meaning the sum of each value times the probability of it showing up on the die (1/21) or:
[tex]E(x) = 1*\frac{1}{21} +2*\frac{1}{21}+3*\frac{1}{21}+...+21*\frac{1}{21}[/tex]=[tex]\frac{231}{21} =11[/tex]
This mathematically minimizes the difference between my pick and the one that comes from the roll.
If there is communication, and a consensus can be reached, then the most reasonable answer would be the one that gives all of us the same possibility to win: 4, 11, 18, so each of us covers 7 numbers, and each of us would have 1/3 chances to win.
If there is communication, and a consensus cannot be reached, then I would have to calculate the difference between both their pics, if it is smaller than the expected value, and it inclines towards high numbers, for example: 10, 18, then i would pick one less than the smallest, meaning 9, because i would cover 1-9, the one picking 10 would cover 10-14 and 18 would cover 15-21. My range would be bigger. If it is smaller than the expected value, and it inclines towards low numbers, i would pick one over the highest, for example 4, 9. I would pick 10. If the difference is bigger than the expected value then i would calculate whether i would cover more picking a number in the middle of their range or to the side, depending on their pick. For example, if they pick 9, 21, I would cover more range picking 8 than 15.
To maximize odds of winning in a game with a 21-faced die, choose a number in the middle range, such as 11, or strategically select a number that evenly splits the range of possible outcomes, taking into account the numbers chosen by other players.
Explanation:The best strategy for choosing a number in a game with a 21-faced die is to select a number that lies in the middle range, as this increases the probability that your number will be closest to the outcome of the roll. With a 21-faced die, the middle number is 11. Assuming other players may not choose the same number, if you pick first, go for 11. If other players have already picked numbers, choose a number that splits the remaining range of outcomes as evenly as possible. This method leverages the concept of probability which, unlike games of pure luck like roulette, gives you some control as you can make educated guesses based on the remaining numbers, just as skill is involved in games like blackjack where decisions are critical to the outcome.
In gambling games like blackjack, skillful play can reduce the house edge whereas in roulette, every spin is independent of the last. The outcomes of particular numbers being rolled in a dice game can inform your strategy to some extent - for example, knowing that seven is the most common result when rolling two six-sided dice because there are more combinations that produce this sum. However, with a single die, as in the scenario with the 21-sided die, each face has an equal probability of landing face up, so strategic choice becomes more about distancing your choice from others to maximize your chances of being closest to the roll's outcome.
Type 1.0e-4 as a floating-point literal with a single digit before and four digits after the decimal point. Note: do not use scientific notation.
Answer:
0.0001
Step-by-step explanation:
The value of the number is 0.0001. That presentation meets the format requirements for your literal.
To express 1.0e-4 as a floating-point literal in long form without scientific notation, write it as 0.0001, which means moving the decimal four places to the left.
Explanation:To type 1.0e-4 as a floating-point literal with a single digit before and four digits after the decimal point without using scientific notation, we need to convert the exponent to its decimal representation. The exponent “e-4” indicates that the decimal point is to be moved 4 places to the left.
The number 1.0e-4 in long form is 0.0001. This is because the exponent part “e-4” of the scientific notation corresponds to dividing the number by 10,000 (which is 10⁴), turning 1 into 0.0001. To express this number with one digit before the decimal point and four digits after, we write it as 0.0001.
When converting from scientific notation or using significant figures, remember that all digits reported in front of the multiplication sign are significant, zero functions as a placeholder for the decimal point, and negative exponents indicate division by powers of ten.
MARK AS BRAINLIEST!!
If the sales representative went to 300 schools and convinced 125 to sell their product, what percentage decided to not sell their product? Use two different strategies to calculate the answer?
- the answer is 58.3% of the schools decided to not sell the company’s product.
just explain how to get that answer
Answer:
58.3%
Step-by-step explanation:
125/300 people decided to buy their product but 175 didn't to get the answer for the problem you just divide 175 by 300 which gets you 0.58333... in which you move the decimal place two to the right which gives you 58.3 then that is your percent 55.3%
Answer: There is 58.3% of students that are not convinced.
Step-by-step explanation:
Since we have given that
Number of schools = 300
Number of schools that are convinced to sell their products = 125
Number of schools that are not convinced to sell their products = 300 - 125 = 175
Percentage of schools that are not convinced is given by
(175 ÷ 300) × 100
= 175 ÷ 3
= 58.3 %
Hence, there is 58.3% of students that are not convinced.
Two life insurance policies, each with a death benefit of 10,000 and a one-time premium of 500, are sold to a couple, one for each person. The policies will expire at the end of the tenth year. The probability that only the wife will survive at least ten years is 0.025, the probability that only the husband will survive at least ten years is 0.01, and the probability that both of them will survive at least ten years is 0.96 . What is the expected excess of premiums over claims, given that the husband survives at least ten years?
Answer: 896.9072165
Step-by-step explanation:
Options
A. 1/49
B.1/14
C.49
D.14
[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 7^{-\frac{5}{6}}\cdot 7^{-\frac{7}{6}}\implies 7^{-\frac{5}{6}-\frac{7}{6}}\implies 7^{\frac{-5-7}{6}}\implies 7^{\frac{-12}{6}}\implies 7^{-2}\implies \cfrac{1}{7^2}\implies \cfrac{1}{49}[/tex]
Mark has $16 to buy lunch for himself and his sister. He wants to buy at least one sandwich and one bag of chips. Sandwiches cost $6 and chips cost $1.50. Write inequalities to represent the constraints on the number of sandwiches and bag of chips Mark could buy. Can Mark buy 2 sandwiches and 2 bag of chips?
Answer:
Victor runs a small sandwich shop. He decides to start offering bags of chips to his customers. He finds a supplier where he can buy chips for $0.30 per bag. Victor needs to determine how much to charge for the chips at his shop. He does some research by talking to other nearby sandwich shop owners. The table below shows their sales per week for two different prices. (The values are: 150 bags sold, for $1.00 per bag, and 350 bags sold, for $0.50 per bag.) Victor believes that there is a linear relationship between the number of bags sold and the price. Victor wants to price the bags of chips so that he will maximize his profits. Determine the price Victor should charge for a bag of chips. Use the equation P(x)=R(x)-C(x), where P(x) represents profit, R(x) represents revenue, and C(x) represents cost. Each is a function of the number of bags of chips sold, x. Round your answer to the nearest nickel.
Step-by-step explanation:
Victor runs a small sandwich shop. He decides to start offering bags of chips to his customers. He finds a supplier where he can buy chips for $0.30 per bag. Victor needs to determine how much to charge for the chips at his shop. He does some research by talking to other nearby sandwich shop owners. The table below shows their sales per week for two different prices. (The values are: 150 bags sold, for $1.00 per bag, and 350 bags sold, for $0.50 per bag.) Victor believes that there is a linear relationship between the number of bags sold and the price. Victor wants to price the bags of chips so that he will maximize his profits. Determine the price Victor should charge for a bag of chips. Use the equation P(x)=R(x)-C(x), where P(x) represents profit, R(x) represents revenue, and C(x) represents cost. Each is a function of the number of bags of chips sold, x. Round your answer to the nearest nickel.
Nathan opened a savings account 11 years ago with a deposit of $2,665.79. The account has an interest rate of 4.8% compounded quarterly. How much interest has Nelson
earned?
$2,793.75
$1,798.99
$1,839.97
$4,505.76
Answer:
Step-by-step explanation:
Use the Compound Amount equation: A = P(1+r/n)^(nt), where P is the original amount (principal), r is the interest rate as a decimal fraction, n is the number of compounding periods per year, and t is the number of years. Here we have:
A = ($2665.79)(1 + 0.048/4)^(4*11), or:
A = ($2665.79)(1.012)^44 = $4505.76.
Subtracting the principal amount from this result, we get:
$4505.76 - $2665.79 = $1839.97
This matches the third of the four given possible answers.
Final answer:
To calculate the interest earned, use the formula for compound interest: CI = P(1 + r/n)^(nt) - P. Plugging in the given values, the interest earned by Nelson is $1,839.97.
Explanation:
To calculate the interest earned, we can use the formula for compound interest:
CI = P(1 + r/n)^(nt) - P
Where CI is the compound interest, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.
Plugging in the given values, we have:
CI = 2665.79(1 + 0.048/4)^(4*11) - 2665.79
Calculating this, we find that the interest earned is $1,839.97.
Accounting deals with the strategic financial issues associated with increasing the value of the business while observing applicable laws and social responsibilities.
A) TRUE
B) FALSE
Answer:
The given statement is false.
Step-by-step explanation:
Accounting deals with the strategic financial issues associated with increasing the value of the business while observing applicable laws and social responsibilities.
This is false.
In accounting, we can make reports like journal entries, trial balance, profit and loss balance sheet etc. for the year but an accountant cannot make strategies over financial issues.
When 1,000 children were inoculated with a certain vaccine, some developed inflammation at the site of the inoculation and some developed fever. How many of the children developed inflammation but not fever?
(1) 880 children developed neither inflammation nor fever.
(2) 20 children developed fever.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Answer: C
Step-by-step explanation: C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
Total: 1000
20 had fever, so 1000 - 20 = 980 who did not have fever
Total who did not have fever: 980
As 880 not fever and not inflamation, 980 - 880 = 100
So, 100 had inflamation but not fever.
We need the 2 statements and they alone do not answer the question
Use the formula d = rt. Find t for r = 33.2 m/h and d = 375.16 m. A. 0.09 h B. 341.96 h C. 11.3 h D. 12,455 h
Answer:
The answer to your question is: t = 11-3 h
Step-by-step explanation:
Data
r = 33.2 m/h
d = 375.16 m
Formula
d = rt
Clear t from the equation
t = d/r
Substitution
t = 375.16 m / 33.2 m/h
Simplifying
t = 11.3 h result