The profit should be shared in proportion to Mr Jones, Mr Thomas and Mr forson capitals in the ratio 21 : 32 : 27 respectively.
ProportionMr Jones capital = $12600Mr Thomas capital =$19200Mr forson capital = $16200Total capital = $12600 + $19200 + $16200
= $48,000
Mr Jones proportion = $12600 / $48,000
= 21/80
Mr Thomas proportion = $19200 / $48,000
= 32/80
Mr forson proportion = $16200 / $48000
= 27/80
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Find the midpoint of the line segment joining the points P1 and P2. P1 = (x, 8); P2 = (0, 9)
Answer:
(x/2 , 17/2)
Step-by-step explanation:
To find a midpoint, you average the x's and average the y's. Average them by adding the x-coordinates and divide by 2. Same with the y's.
The x's are x for P1 and 0 for P2.
x+0 / 2
=x/2
This will be the x-coordinate of the midpoint. Then for the y, use 8 and 9, the y's.
8+9 / 2
= 17/2
This will be the y-coordinate of the midpoint.
The midpoint is:
(x/2 , 17/2)
You could also divide 17/2 and get 8.5 then the midpoint would be:
(x/2 , 8.5)
from question 1 to 27, total up all of the A choices you selected on your test. What was the total number? PLWASEEE HELPPP
The addition of the total choices selected in the test based on the assumed figures is 891.
How to compute the value?Your question is incomplete and the complete question wasn't found online. An overview will be given. The assumed figures for A choices include the numbers from 20 to 46. In this case, the total of the numbers will be:
= 20 + 21 + 22 + 23 + 24 .... 46.
= 891
In conclusion, the correct option is 891.
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Two shops, Tisco and Azda, sell the same brand of baked beans with the following deals.
Calculate the price per 12 items.
Write down which shop is the best value in the comment box.
azda:3 for 1.14
tisco:4 for 1.56
Answer:
Azda has the best value: 4.56
Step-by-step explanation:
azda sells three products for 1.14, so twelve products would cost 4.56(1.14 * 4)
tisco sells four products for 1.56, so twelve products would cost 4.68(1.56*3)
azda has the best value
Which expression equals 24? Group of answer choices (2 + 4)(3) (4 x 2)(3) (4 - 2) + 3 (4 + 3) - 2
The expression which equals 24 is (4 + 2) (3) . Option B
How to determine the expressionGiven the following expression
Let's evaluate each of them. we have
(2 + 4)(3) = 6× 3 = 18
(4 x 2)(3) = 8 × 3 = 24
(4 - 2) + 3 (4 + 3) - 2 = 2 + 3(7) -2 = 2 + 21 - 2 = 23 -2 = 21
Thus, the expression which equals 24 is (4 + 2) (3) . Option B
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Approximately what interest rate to the nearest whole percentage would you need to earn in order to turn $3,500 into $7,000 over
10 years?
The interest rate to the nearest whole percentage would you need to earn in order to turn $3,500 into $7,000 over 10 years is 10%
Simple interest and amountThe formula for calculating amount is expressed as;
Amount = Principal + Simple interest
Given the following
Amount = $7000
Principal = $3500
time =10 years
Substitute
7000 = 3500 + 3500(R)(10)
3500 = 35000R
R = 3500/35000
R = 0.1
Hence the interest rate to the nearest whole percentage would you need to earn in order to turn $3,500 into $7,000 over 10 years is 10%
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Ralph chase plan to sell a piece of property for $160,000. He wants the money to be paid off in two ways- a short term note at 10% interest and a long term note at 7% interest. Find the amount of each note if the total annual interest paid is $13750.
$85000 was paid at a short term note at 10% interest while $75000 was paid at a long term note at 7% interest.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the amount of fund at 10% and y represent the amount of fund at 7% interest, hence:
x + y = 160000 (1)
Also:
0.1x + 0.07y = 13750 (2)
From both equations:
x = 85000 and y = 75000
$85000 was paid at a short term note at 10% interest while $75000 was paid at a long term note at 7% interest.
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Mary Beth is a supervisor of a unit consisting of four employees--Cheryl, Susan, Fred and Michael. Financial hardship dictates that the organization has to downsize its operations and Mary Beth has to let two of her employees go. The organization decides to retain or terminate employees based solely on their seniority.
Mike has higher seniority than Cheryl.
Fred has higher seniority than Sue.
Fred has higher seniority than Cheryl.
Based on the level of seniority of Mary Beth's unit, the correct conclusions on who will be terminated is:
Unknown. Unknown.Who will be terminated?Cheryl will be terminated because both Fred and Mike have seniority over them which means that they are at least third in seniority.
However, we cannot tell who will be terminated between Mike and Sue because the relationship between them is undefined. Fred is safe from termination, however.
The rest of this question is:
1. Mike will be terminated
A)True
B)False
C)Unknown
2. Sue will be terminated
A)True
B)False
C)Unknown
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can you please help me with this question? thank you
Answer:
A. Coffee 4C below the freezing point
Step-by-step explanation:
Negative temperature when talking about water means below the freezing point (below 0). Look up number line. Negative 4 is below 0 whereas positive 4 is above 0. Thus, option A is the best answer
Answer:
A
Step-by-step explanation:
This is because negative number start below zero and since water freezes at zero degrees celsius, Mia's iced coffee is below the freezing point.
Monthly sales of an SUV model are expected to increase at the rate of S′1t2 = -24t 1>3 SUVs per month, where t is time in months and S1t2 is the number of SUVs sold each month. The company plans to stop manufacturing this model when monthly sales reach 300 SUVs. If monthly sales now 1t = 02 are 1,200 SUVs, find S1t2. How long will the company continue to manufacture this model?
The company will continue to manufacture this model for 19 months.
The question is ill-formatted. The understandable format is given below.
An SUV model's monthly sales are anticipated to rise at a rate of
[tex]S'(t)=-24^{1/3}[/tex] SUVs each month, where "t" denotes the number of months and "S(t)" denotes the monthly sales of SUVs. When monthly sales of 300 SUVs are reached, the business intends to discontinue producing this model.
Find S if monthly sales of SUVs are 1,200 at time t=0 (t). How long will the business keep making this model?
Given [tex]S'(t)=-24^{1/3}[/tex] ... ... (1)
Condition (1) at t=0; s(t) =1200
We find S(t)=300 then t=?
a) We find S(t)
from [tex]S'(t)=-24^{1/3}[/tex]
[tex]\implies \frac{dS(t)}{dt}=-24t^{1/3} ~~[\because X'(t)=\frac{dX}{dt} \\\implies dS(t) = -24t^{1/3}dt\\[/tex]
On Integrating both sides
[tex]S(t)=-18t^{4/3}+c ~...~...~(2)[/tex]
Now, at t=0 then S(t)=1200
So, from (2)
1200=0+c
⇒c=1200
[tex]\therefore[/tex]from eq (2)
[tex]S(t)=-18t^{4/3}+1200 ~...~...~(3)[/tex]
b) Considering that the firm intends to cease production of this model once monthly sales exceed 300 SUVs.
So, take S(t)=300
from eq (2) [tex]300=-18t^{4/3}+1200[/tex]
[tex]t^{4/3}=\frac{1200-300}{18}\\=\frac{900}{18}=50\\\implies t=50^{3/4}\\\implies t=18.8030[/tex]
Hence the company will continue 18.8020 months.
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What is the correct property of slopes
Let be P(x, y) and Q(x, y) two distinct points on Cartesian plane, which generates a line segment. The slope represents the "inclination" of that line segment:
[tex]m = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex]
What is the property of slope
Slope is a relationship of the change in the dependent variable (y) and the change in the independent variable (x). In this question we should present the correct definition for slope, which is described below:
Let be P(x, y) and Q(x, y) two distinct points on Cartesian plane, which generates a line segment. The slope represents the "inclination" of that line segment:
[tex]m = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex] (1)
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Determine the appropriate test to be used in the next statements.
An archeologist is calculating the distribution of the frequency of the number of artifacts she finds in a dig site. Based on previous digs, the archeologist creates an expected distribution broken down by grid sections in the dig site. Once the site has been fully excavated, she compares the actual number of artifacts found in each grid section to see if her expectation was accurate.
An economist is deriving a model to predict outcomes on the stock market. He creates a list of expected points on the stock market index for the next two weeks. At the close of each day’s trading, he records the actual points on the index. He wants to see how well his model matched what actually happened.
A personal trainer is putting together a weight-lifting program for her clients. For a 90-day program, she expects each client to lift a specific maximum weight each week. As she goes along, she records the actual maximum weights her clients lifted. She wants to know how well her expectations met with what was observed.
A meteorologist wants to know if East and West Australia have the same distribution of storms.
A pharmaceutical company is interested in the relationship between age and presentation of symptoms for a common viral infection. A random sample is taken of 500 people with the infection across different age groups.
The owner of a baseball team is interested in the relationship between player salaries and team winning percentage. He takes a random sample of 100 players from different organizations.
A marathon runner is interested in the relationship between the brand of shoes runners wear and their run times. She takes a random sample of 50 runners and records their run times as well as the brand of shoes they were wearing.
The statistical test that can be used for the given statements is; the goodness-of-fit test
How to determine the best statistical tests?
1) For the archeologist story, the goodness-of-fit test is the best and most relevant test that can be applied because the archaeologist wishes to determine if her prediction was correct by comparing the actual number of artefacts recovered in each grid section to the expected frequencies.
2) The economist generates a list of expected stock market index points for the next two weeks, as well as the actual points at the end of each trading day. The economist then compares the actual and expected points to ensure that the model he constructed is accurate. As a result, economists can use the goodness-of-fit test in this study.
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In the US, 47.3% of smart phones sold are made by Apple.
Suppose that 20,465 smart phone were sold in one day.
How many of those phones would be made by Apple?
9680 smart phones of total 20465 sold smart phones would be made by Apple.
Percentage is a mathematical measurement of any mathematical quantity or number or another measurement out of a total of 100.
Here given that in the US 47.3% of smart phones sold are made by Apple.
And in one day 20465 phones are sold.
So,
Out of 100 sold smartphones, 47.3 phones are made by Apple.
then out of 1 sold smartphone 47.3/100 phones are made by Apple.
Hence out of 20465 smartphones (10465*(47.3/100)) = 9679.945 phones are made by Apple.
Since number of sold smart phone cannot be in decimal number in real, it always a whole number.
Approximating to the nearest whole number we get out of 20465 sold smart phones in one day, 9679.945 = 9680 smart phones are made by Apple.
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Aaden wants to get a subscription to an online library. There are two subscription options, one of which charges a fixed 96 dollar annual fee and the other which charges 3 dollars per book he borrows.
ANSWER:
CORRECT (SELECTED)
A number of books and their cost where the subscription with the annual fee costs less.
EXPLANATION: Point Q is on line aaa, so it represents a number of books and their cost with the subscription with the annual fee. Also, point Q is below line b, so it represents the same number of books but a lower cost than the subscription that charges per book.
Option 1 is correct. The point T is the number of books and their cost where the subscription with the annual fee costs less.
How to find the point T.At y1 = 96
y2 = 30
The service charge is said to be 3 dollar
We have that y1 is less than y2. This is because 30 is less than 92.
From this we have to conclude that it is the first option. This is because 3 dollars would be charged or less than that.
Complete questionAaden wants to get a subscription to an online library. There are two subscription options, one of which charges a fixed dollar annual fee and the other which charges dollars per book he borrows. Here's a graph that shows a system of equations for this scenario where is the number of books Aaden borrows and y is the total cost of the subscription. ks) What does point T represent in this ? Choose 1 answer:
A number of books and their cost where the subscription with the annual fee costs less
A number of books and their cost where the subscription that charges per book costs less of
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Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth.
Answer:
The last one [tex](x=11.3, y=8)[/tex].
Step-by-step explanation:
1) There are three trigonometric ratios for right-angled triangles.
[tex]sin()=\frac{opposite}{hypotenuse}\\cos()=\frac{adjacent}{hypotenuse}\\tan()=\frac{opposite}{adjacent}[/tex]
In a right triangle, the hypotenuse, h, is the side opposite the right angle. Relative to the acute angle θ, check the attachment, the legs are called the opposite side, o, and the adjacent side a.
2) In this case, we are given a length and an angle to find x and y.
Let's find x first. To find x we need to use [tex]sin()=\frac{opposite}{hypotenuse}[/tex].
[tex]sin(45)=\frac{8}{x}\\sin(45)x=8\\x=\frac{8}{sin(45)} \\x=11.31[/tex]
Find y.
Notice that, we can use the Pythagorean Theorem [tex](c^2=a^2+b^2)[/tex] to find y.
[tex]c^2=a^2+b^2[/tex]
[tex]11.31^2=8^2+b^2\\11.31^2 - 8^2 = b^2\\63.9161 = b^2\\\sqrt{63.9161} = b\\b = 7.99[/tex]
3) Round them off to the nearest tenth.
[tex]x=11.31\\x=11.3[/tex]
[tex]y=7.99\\y=8[/tex]
Therefore, the correct choice is the last one [tex](x=11.3, y=8)[/tex].
please please in a survey it was found that the ratio of people who like arithmetic and algebra is 9:8 if 25% like both 80% like none of these and 20% like arithmetic only find the number of people who participate in the survey
Answer:
200
Step-by-step explanation:
it was found that the ratio of people who liked Arithmetic and Algebra is 9 : 8. If 25% liked the both, 80 liked none of these and 20% liked arithmetic only, find the total number of people participated in the survey. Ans: 200
During one shift, the express lane clerk recorded how many times customers violated the "10 items or less"
rule for his lane. In particular, he recorded how many items over the limit each violator placed on the
conveyor belt. This data is summarized in the histogram below. NOTE: The last class actually represents "7
or more items," not just 7 items.
What is the most frequent number of over-the-limit items for this data set?
What is the frequency of the most frequent number of over-the-limit items?
The most frequent number of over-the-limit items for this dataset is 3.5 - 4.5 and the frequency of the most frequent number of over-the-limit items is 14
What is the most frequent number of over-the-limit items for this data set?The most frequent number of over-the-limit items for this data set is the dataset that has the highest frequency.
This is represented by the class that has the highest bar on the histogram
To do this, we simply check the class that has the highest bar on the histogram.
From the attached histogram the class that has the highest bar on the histogram is 3.5 - 4.5
Hence, the most frequent number of over-the-limit items for this dataset is 3.5 - 4.5
What is the frequency of the most frequent number of over-the-limit items?In (a), we have:
The most frequent number of over-the-limit items for this dataset is 3.5 - 4.5
Next, we check the frequency of the most frequent number of over-the-limit items for this dataset
According to the histogram, the most frequent number of over-the-limit items for this dataset has a frequency of 14
Hence, the frequency of the most frequent number of over-the-limit items is 14
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help i dont know how to do this
By evaluating in x = π/3, we conclude that the correct option is C.
Which is the graphed function?
By looking at the graph, we can see that the function becomes zero when:
x = π/3
Now, this is really trivial.
Just evaluate the four options in x = π/3, and see which ones become equal to zero, and discard the others.
By doing that, you will see that the only option that becomes zero when evaluated in x = π/3 is option C.
[tex]y = 3*sin(2(x - \frac{\pi}{3} ))[/tex]
Then we conclude that it is the only option that can be the correct one.
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what is the answer of:
[tex]2 \div 3 + \sqrt{5} [/tex]
Answer:
[tex]\frac{2 \: + \: 3 \sqrt{5} }{3} [/tex]
Step-by-step explanation:
[tex] \frac{2}{3} + \sqrt{5} = [/tex]
[tex] = \frac{2}{3} + ( \sqrt{5} \times \frac{3}{3} )[/tex]
[tex]= \frac{2}{3} + \frac{3 \sqrt{5} }{3} [/tex]
[tex]= \frac{2 \: + \: 3 \sqrt{5} }{3} [/tex]
Solve for the missing item in the following. (Do not round intermediate calculations. Round your answer to the nearest whole percent.)
Principal 5000 time 6 months simple interest $300
Rate?
Answer:
The answer is $0.36
Step-by-step explanation:
( a^2x^3 -5x+3a).(-2a^3x)
The product (a^2x^3 -5x+3a).(-2a^3x) is -2a^5x^4 + 10a^3x^2 - 6a^4x
How to evaluate the expression?The expression is given as:
(a^2x^3 -5x+3a).(-2a^3x)
Open the bracket
-2a^3x * a^2x^3 -2a^3x * - 5x -2a^3x * 3a
Evaluate the products
-2a^5x^4 + 10a^3x^2 - 6a^4x
Hence, the product (a^2x^3 -5x+3a).(-2a^3x) is -2a^5x^4 + 10a^3x^2 - 6a^4x
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Pls answer problem is in the image give a explanation pls not just a answer I’ll give brainiest
Total cards left
52-12=40Total hearts left
13-3=10Probability
P(Heart)=10/40=1/4Option B
Answer:
[tex]\sf F. \quad \dfrac{1}{4}[/tex]
Step-by-step explanation:
A deck of 52 playing cards contains 13 hearts.
If Sara has 12 cards from this deck in her hand and 3 of them are hearts, then:
Total cards remaining in the deck
= total deck - cards Sara has
= 52 - 12
= 40
Total hearts left in the remaining deck
= total heart cards - heart cards Sara has
= 13 - 3
= 10
So there are 40 cards in the deck and 10 of them are hearts.
Probability Formula[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Therefore, the probability that a card drawn at random from the remainder of the deck will be a heart is:
[tex]\begin{aligned}\implies \sf P(heart) & =\dfrac{\textsf{number of hearts in remaining deck}}{\textsf{total cards in remaining deck}}\\\\ & =\dfrac{10}{40}\\ \\& =\dfrac{1}{4}\end{aligned}[/tex]
I need a picture of the graph
Answer:
The graph is shown above.
Geometry
What the perimeter and area of the shape?
(a) The arc length of each of the two smaller semicircles is [tex]4\pi[/tex], and the arc length of each of the two larger semicircles is [tex]15\pi[/tex]. Therefore, the perimeter is [tex]2(4\pi)+2(15\pi)=38\pi[/tex].
(b) The area of each of the smaller semicircles is [tex]\frac{1}{2}(\pi)(4^2)=8\pi[/tex], and the areaof each of the larger semicircles is [tex]\frac{1}{2}(\pi)(15^2)}=\frac{225\pi}{2}[/tex].
So, the combined areas of the four semicircles is [tex]241\pi[/tex].
The area of the rectangle is 60, so the total area is [tex]241\pi+60[/tex].
I need help please I can't figure this out
The table which shows that y vary directly with x is the first table, second table and third table.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the first table, using the points (1, 3) and (3, 9):
y = 3x
From the second table, using the points (-4, -2) and (-2, -1):
y = (1/2)x
From the third table, using the points (-2, 2) and (-1, 1):
y = -x
The table which shows that y vary directly with x is the first table, second table and third table.
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One number is 8 times another number. The numbers are both positive and have a difference of 70. Find the numbers.
Which of the following equations could be used to solve the problem?
8 x - x = 70
x - 8 x = 70
x - 8 = 70
Answer:
8x - x = 70
Step-by-step explanation:
x equals 10 because,
8 x 10 = 80
and x = 10, so 80 - 10 = 70.
Consider the following data.
13,13,−5,−5,13,11,−5
Step 1 of 3 : Determine the mean of the given data.
Step 2 of 3: Determine the median of the given data.
Consider the following data.
13,13,−5,−5,13,11,−5
Step 3 of 3: Determine if the data set is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.
The median is 5.
The median is 11.
The data set is bimodal.
What is the mean, median and mode of the data?Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
(13 + 13 −5 −5 + 13 + 11 −5) / 7 = 35/7 =5
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
-5, -5, -5, 11, 13,13, 13
Median = 11
A bimodal data set is a distribution with two clear most frequent values.
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The highest point on land on Earth is the top of Mt. Everest in the Himalayas, at an elevation of 29,028 feet above sea level. The lowest point on land is the Dead Sea, between Israel and Jordan, at 1319 feet below sea level. Find the difference in elevations.
Final answer:
The difference of the elevations is 30347 feet.
Step-by-step explanation:
Step 1
The highest elevation is 29028 feet.
Step 2
The lowest elevation is -1319 because it is below the sea level.
Step 3
The difference of the elevations is:
29028 - (-1319)
Step 4
Evaluate the value of expression:
29028 - (-1319) = 30347
Suppose that on November 26, 2019, an ornamental bookcase handmade in Germany is priced at EUR 830. The approximate U.S. dollar price of the bookcase would be .
The approximate price for an ornamental bookcase from Germany and with a cost of EUR 830 on November 26, 2019 is equal to 753.64 USD.
How to determine the price of a good in terms of a foreign currency
Herein we have an application of direct proportionality model, now described:
y = k · x (1)
Where:
x - Cost of the bookcase in Germany, in euros.k - Currency exchange rate, in US dollars per euros.y - Cost of the bookcase in the United States, in US dollars.If we know that x = 830 EUR and k = 0.908 USD/EUR, then the cost of the bookcase in the United States is:
y = (830 EUR) · (0.908 USD/EUR)
y = 753.64 USD
The approximate price for an ornamental bookcase from Germany and with a cost of EUR 830 on November 26, 2019 is equal to 753.64 USD.
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the two lines graphed below are parallel. how many solutions are there to the system of equation
Since parallel lines do not meet, hence we can conclude that they have infinitely many solutions
Solution to system of equationsThe given graph contains 2 straight lines. passing through the y- axis.
The graphed lines has np solution since they do not have any point of intersection on the place. They are known as parallel lines.
Since parallel lines do not meet, hence we can conclude that they have infinitely many solutions
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First accurate answer gets brainliest
Answer:
B i think
Step-by-step explanation: