The amount entered into Ryan's capital account would be $28,965.52.
We have,
First, let's calculate the total amount of capital before Sullivan's withdrawal:
Total Capital = Ryan's Capital + O'Malley's Capital + Sullivan's Capital
Total Capital = $40,000 + $60,000 + $45,000
Total Capital = $145,000
Next, we need to calculate the share of profits for each partner:
Ryan's Share = 20% of Net Income
O'Malley's Share = 30% of Net Income
Sullivan's Share = 50% of Net Income
Since we don't have the Net Income, we cannot calculate the shares of profits.
Now, we can calculate the remaining capital after Sullivan's withdrawal:
Remaining Capital = Total Capital - Sullivan's Withdrawal
Remaining Capital = $145,000 - $40,000
Remaining Capital = $105,000
Finally, we can allocate the remaining capital according to the capital interests:
Ryan's Share = Ryan's Capital / Total Capital * Remaining Capital
Ryan's Share = $40,000 / $145,000 * $105,000
Ryan's Share = $28,965.52
Therefore,
The amount entered into Ryan's capital account would be $28,965.52.
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John runs a computer software store. Yesterday he counted 137 people who walked by the store, 56 of whom came into the store. Of the 56, only 25 bought something in the store.
A) Estimate the probability that a person who walks by the store will enter the store.B) Estimate the probability that a person who walks into the store will buy something.C) Estimate the probability that a person who walks by the store will come in and buy something.D) Estimate the probability that a person who comes into the store will buy nothing.
Answer:
John's Computer Software Store
A) Probability that a person who walks by the store will enter the store:
= 41%
B) The probability that a person who walks into the store will buy something:
= 45%
C) The probability that a person who walks by the store will come in and buy something:
= 18%
D) The probability that a person who comes into the store will buy nothing:
= 55%
Step-by-step explanation:
a) Data and Calculations:
Number of people who walked by the store yesterday = 137
Number of those who came into the store = 56
Number of people who came into the store and bought something = 25
Number of people who came into the store and bought nothing = 31 (56 - 25)
A) Probability that a person who walks by the store will enter the store:
= 56/137
= 0.4087
= 0.41
= 41%
B) The probability that a person who walks into the store will buy something:
= 25/56
= 0.4464
= 0.45
= 45%
C) The probability that a person who walks by the store will come in and buy something:
= 56/137 * 25/56
= 0.41 * 0.45
= 0.1845
= 0.18
= 18%
D) The probability that a person who comes into the store will buy nothing:
= 31/56
= 0.5536
= 0.55
= 55%
The con 3720bertar What can be interpreted from the youtercept of the functionRachel must pay $37 per month to use the gymRachel must pay $20 per month to use the gymRachel must pay a $37 membership fee to join the gymRachel must pay a $20 membership fee to join the samMaria wants to rent a car. She learns that the total daily costcated using the formula C = 5x + 30. hereseS driven that day. What does the constanteseer
f(x) = 37x + 20
Answer:
Option D, $20 is the membership beause it is a fixed cost, it does not depend on the amount of months
An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range:
420 425 427 427 432 433 434 437 439 446 447 448 453 454 465 469
Suppose the sample is from a normal population.
(a) Calculate a 95% confidence interval for the population mean, and interpret it.
(b) Calculate a 95% upper confidence bound for the population mean, and interpret it.
Answer:
(a) A 95% confidence interval for the population mean is [433.36 , 448.64].
(b) A 95% upper confidence bound for the population mean is 448.64.
Step-by-step explanation:
We are given that article contained the following observations on degrees of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range:
420, 425, 427, 427, 432, 433, 434, 437, 439, 446, 447, 448, 453, 454, 465, 469.
Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;
P.Q. = \(\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }\) ~ \(t_n_-_1\)
where, \(\bar X\) = sample mean = \(\frac{\sum X}{n}\) = 441
s = sample standard deviation = \(\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }\) = 14.34
n = sample size = 16
\(\mu\) = population mean
Here for constructing a 95% confidence interval we have used One-sample t-test statistics as we don't know about population standard deviation.
So, 95% confidence interval for the population mean, \(\mu\) is ;
P(-2.131 < \(t_1_5\) < 2.131) = 0.95 {As the critical value of t at 15 degrees of
freedom are -2.131 & 2.131 with P = 2.5%}
P(-2.131 < \(\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }\) < 2.131) = 0.95
P( \(-2.131 \times {\frac{s}{\sqrt{n} } }\) < \({\bar X-\mu}\) < \(2.131 \times {\frac{s}{\sqrt{n} } }\) ) = 0.95
P( \(\bar X-2.131 \times {\frac{s}{\sqrt{n} } }\) < \(\mu\) < \(\bar X+2.131 \times {\frac{s}{\sqrt{n} } }\) ) = 0.95
95% confidence interval for \(\mu\) = [ \(\bar X -2.131 \times {\frac{s}{\sqrt{n} } }\) , \(\bar X +2.131 \times {\frac{s}{\sqrt{n} } }\) ]
= [ \(441-2.131 \times {\frac{14.34}{\sqrt{16} } }\) , \(441+2.131 \times {\frac{14.34}{\sqrt{16} } }\) ]
= [433.36 , 448.64]
(a) Therefore, a 95% confidence interval for the population mean is [433.36 , 448.64].
The interpretation of the above interval is that we are 95% confident that the population mean will lie between 433.36 and 448.64.
(b) A 95% upper confidence bound for the population mean is 448.64 which means that we are 95% confident that the population mean will not be more than 448.64.
If you know a point on a line and the slope of the line, how can you find another point on the line?
Answer:
Below
Step-by-step explanation:
Draw a x and y plane which is just a fancy way of saying, draw a graph with the X and Y lines on the bottom (X) and pointing up (Y) draw tick marks and then mark the point you know and then draw the line based on the slope using the tool (sorry, I forgot the name of it)
Answer:
Ez
Step-by-step explanation:
Draw a x and y plane which is just a fancy way of saying, draw a graph with the X and Y lines on the bottom (X) and pointing up (Y) draw tick marks and then mark the point you know and then draw the line based on the slope using the tool (sorry, I forgot the name of it)
find the missing side. round to the nearest tenth
The required angle is 24.5°.
Given is a right triangle with perpendicular side 16 and the base = 35 we need to find an acute angle in it,
To find the acute angle in a right triangle given the lengths of the perpendicular side and the base, you can use the tangent function.
The tangent of an angle is defined as the ratio of the length of the perpendicular side to the length of the base side.
In this case, the perpendicular side is 16 and the base is 35.
Let's denote the acute angle as θ.
Using the tangent function, we can set up the equation:
tan(θ) = perpendicular side / base
tan(θ) = 16 / 35
To find the value of θ, we can take the inverse tangent of both sides:
θ = tan⁻¹(16 / 35)
θ = 24.5°
Hence the required angle is 24.5°.
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Convert the measurement as indicated..
10.000 ft = ___miles ____ft?
If AB = 2x – 5, BC = x – 2, and AC = 20,
find AB.
please help me out yall
Answer:
as the picture shown
Step-by-step explanation:
The equation, A=6,000(1+0.029t) represents the amount of money eamed on a savings account with 2.9% annual simple interest. At the end of the investment period, the account balance is $7,392. How many years is the investment period?
A) 1 year
B) 3 years
C) 7 years
D) 8 years
Using the equation, A = 6,000(1+0.029t) The number of years that is the investment period is: D 8 years.
How to Calculate Investment Period?Investment period refers to the length of time during which an individual or organization invests money in a particular investment vehicle or asset. It can also be referred to as the holding period, and it is the duration for which an investment is held or maintained before it is sold or liquidated.
We can start by setting the equation for the final account balance, A, to $7,392:
7,392 = 6,000(1 + 0.029t)
Divide both sides by 6,000:
1.232 = 1 + 0.029t
Subtract 1 from both sides:
0.232 = 0.029t
Divide both sides by 0.029:
t ≈ 8
Therefore, the investment period is approximately 8 years.
So the answer is option D) 8 years.
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Use spherical coordinates. Evaluate(x2 +y2 + z2)2 dv, where B is the ball with center the origin and radius 3. Need Help? Read It Watch ItMaster It Talk to a Tutor
The triple integral using the spherical coordinates is 16 π .
Given :
Use spherical coordinates. Evaluate( x^2 + y^2 + z^2 )^1/2 dv, where B is the ball with center the origin and radius 3.
we know that ,
= ∫∫∫ ( x^2 + y^2 + z^2 )^1/2 dv
= ∫∫∫ x . x^2 .sin Φ dΦ dθ dx
where lower limits and upper limits are ( 0 , 2 ) , ( 0 , 2 π ) , ( 0 , π ) .
= ∫ x^3 . dx ∫ dθ ∫ sin Φ dΦ
= 2^4 / 4 * 2 π * 2
= 4 * 2 π * 2
= 8 π * 2
= 16 π
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The tree in Lisa’s backyard is 7.4 m high. How high is it in centimeters?
Answer:
740 cm
Step-by-step explanation:
Answer: 740 centimeters
Step-by-step explanation:
All you have to do is multiply the length value by 100 giving you 740.
Convert (2,210 °) to rectangular form.
A. (1,-√3)
B. (-√3,-1)
C. (-√3,1)
D. (-1,-√3)
E. (√3,-1)
The answer is D. -1,-3. i just finished and got it right
Simplify.
(-6u? - 9u-4)-(-5u²+2u+3)+(2u? + 6u+4)
Answer:
Simplified: -4u? + 5u^2 - 5u - 3
Step-by-step explanation:
The function f(x) models the value of imported goods into the United States, and the function g(x) models the value of exported
goods from the United States, where x is the number of years since 1990.
Which statements are correct?
A) g(x) appears to be a linear function
B) f(x) appears to be an exponential function
C)Exports increase more quickly around the year 2041
D) Exports eventually exceed imports from the united States
E) A quantity increasing exponentially eventually exceeds a quantity
increasing linearly
Answer:
C, D, E
Step-by-step explanation:
I did the USATESTPREP
#7 find the answer with the offering 20% discount
Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.
What is a discount?A discount is an amount that reduces the price of a retail item.
Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.
Discount rate on offer = 20%
Discounting factor = 80% or 0.8 (100 - 20%)
Manufacturer's coupon off the price = $200
Let the price of the bureau = x
The price after the discount (discounted price) is given by D(x)
D(x) = 0.8x
The price after the coupon = C(x) = x - 200
The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200
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Complete Question:Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).
What would the 10th case look like?
The sequence of the number of circles indicates that for the 10th case, the number of circles are; 111 circles on the lower left and 111 circles on the top right
Please find attached a drawing of the pattern for the 10th case, created with MS Word
What is a sequence?A sequence is an orderly arrangement of values or objects following a specified pattern.
The first pattern indicates that the number of circles in the first column on the left are 2. The number of circles located in the second row from the left side are 3
The second pattern indicates that the number of circles in the first column on the left are 3. The number of circles located in the second row from the left side are 4
The sequence of pattern in the nth case is therefore;
The number of circles in the first column on the left in the nth case are n + 1. The number of circles located in the second row from the left side are n + 2, and the number of squares circles between the column on the left and the row of circles on the top are n each, which indicates;
The number of circles in the first column on the left in the 10th case are 10 + 1 = 11. The number of circles located in the second row from the left side are 10 + 2 = 12
The dimensions of the square of circles to the left of the first column and above which the horizontal row of circles at the top are located are each 10 units wide and 10 units in height
Please find attached the drawing of case 10 creates with MS Word
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The figure to the right shows the distance-time graph for a muscle car accelerating from a standstill. Use the information in the figure to answer parts (a) and (b). The table below lists the coordinates of the points.
The acceleration of the car is 8 m/s^2.
The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.
Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.
(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m
(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2
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Please help ASAP questions and answer selection in screenshot
The domain of the function consists of all real numbers greater than 0.
What is a domain?A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.
Next, we would determine the function which models the amount of gas as follows:
Function, f(x) = rate × x
Function, f(x) = 2.25 × x
Function, f(x) = 2.25x
Based on the function above, we can reasonably and logically deduce that the amount of gas cannot be negative. Therefore, the domain of this function is given by:
Domain = [0, ∞]
In conclusion, the domain is equal to all real numbers that are greater than zero (0).
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An ant crawls 14 cm down into an ant hole. It then crawls 6 cm up to the queens nest. What is the ants location in a math sentence
Answer:
The ant is 8cm down in the nest.
Step-by-step explanation:
In a standard deck of cards (NOT including jokers), there are:
4 suits (diamonds, hearts, clubs, spades)
13 number and face cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King)
2 colors (red, black)
Face cards are Jack, Queen, King
a) What is the probability of drawing a red or black card?
b) What is the probability of drawing a 7 of spades?
c) What is the probability of NOT drawing a Diamond?
d) What is the probability of drawing a black 2?
hmm im not sure, but I'm going to try to help you!! but I think it is B or D. Maybe but I'm not too sure. though. :((
A cone and a cylinder have the same radius and height What would you need to do to the volume of the cone to find the volume of the cylinder? Multiply by 3 Divide by 3?
(Laws of Exponents with Integer Exponents MC)
Evaluate the quantity 2 squared times 2 to the power of negative 5 end quantity over 5 to the power of negative two.
1,024 over twenty-five
twenty-five over 1,024
twenty-five eighths
eight over twenty-five
The simplified form of the indices expression is twenty-five eighths
Indices expressionsIndices are expressions that consists of base and exponents
Given the expression below;
(2²×2⁻⁵)/5²
Simplify the numerator to have:
2²×2⁻⁵ = 4 * 1/2^5
2²×2⁻⁵ = 4 * 1/32
2²×2⁻⁵ = 1/8
2²×2⁻⁵ = 2^-3
Therefore;
(2²×2⁻⁵)/5^-2 = 1/8 * 25
(2²×2⁻⁵)/5² = 25/8
Hence the simplified form of the indices expression is twenty-five eighths
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750$ in 4 days unit rate
Given that TU=8x+11 and UV=12x−1, what are x, TU, UV, and TV?
Answer:
x = 3TU = UV = 35TV = 70Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached.
From the diagram, it can be seen that point U is the midpoint of T and V. This means that TU = UV
Given TU=8x+11 and UV=12x−1
8x+11 = 12x -1
8x-12x = -1-11
-4x = -12
x = 3
Since TU = 8x+11
TU = 8(3)+11
TU = 24+11
TU = 35
Also UV = 12x-1
UV = 12(3)-1
UV = 36- 1
UV = 35
TV = TU+UV
TV = 35+35
TV = 70
Speed limit signs are placed every 58 mi on the highway. How many signs are there on a 75 mi stretch of highway? Which operation should be used to solve the problem? division multiplication
Answer:
you should use multiatication
Step-by-step explanation:
Answer:
lol u got the answer it's multiplication i need POOOIIIIINNNNTTTTSSS
Step-by-step explanation:
Jeff opens his desert shop and sold pies, cakes, and cookies in it. He sold pes Monday through Friday.
He sold cakes Monday through Saturday. He sold Cookies Monday through Sunday. He had the following number of sales for each day. Using an ANOVA analysis, state if any of the deserts is significantly more popular.
Pies Cakes Cookies
Monday 5 7 6
Tuesday 2 4 7
Wednesday 7 9 5
Thursday 4 5 7
Friday 3 2 9
Saturday 2 7
Sunday 3
3. Compute the appropriate statistic.
4. For the desert table above, what is the critical value at 95% and is the observed statistically significant?
The requreid we can reject the null hypothesis and conclude that at least one of the desserts is significantly more popular than the others.
To conduct an ANOVA analysis, we need to calculate the mean and variance for each group, as well as the overall mean and variance.
Pies: Mean = (5+2+7+4+3)/5 = 4.2
Variance =\(((5-4.2)^2 + (2-4.2)^2 + (7-4.2)^2 + (4-4.2)^2 + (3-4.2)^2)/4\)
= 3.7
Similarly,
Cakes:
Mean = 5, Variance = 6.4
Cookies:
Mean = 6, Variance = 8.8
Overall mean = 5.1, Overall variance =5.1
To calculate the F-statistic, we need to use the formula,
F = (between-group variance)/(within-group variance).
Between-group variance \(= ((4.2-5.1)^2 + (5-5.1)^2 + (6-5.1)^2)*5 + ((5-5.1)^2 + (5-5.1)^2)*6 + ((6-5.1)^2)*7\) =5.3
Within-group variance = (3.7+6.4+8.8)/14 = 0.8
F = 5.3/0.8 = 6.6
The appropriate statistic for an ANOVA analysis is the F-statistic. we can reject the null hypothesis and conclude that at least one of the desserts is significantly more popular than the others.
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8.2: Word Problems - UNDERLINE key words, set up your division sentence, then solve!
Ms. K's cooking club needs 2 1/4 cups of flour to make enough crepes for everyone in the class. The
club split into 6 smaller groups, each making their own batch. How much flour does each group
need?
Answer:
3/8
Step-by-step explanation:
hope it helps :)
Write the fraction as a mixed number 10/20
the volume of a rectangle prism is 8cm height 4 width.
Answer:
Step-by-step explanation:
What is the solution to the system of equations graphed below?y=x+2*5y = -2x- 4y=-2x-4y=x+ 2
Given:
Given that a graph of the functions
\(\begin{gathered} y=-2x-4 \\ y=x+2 \end{gathered}\)Required:
To find the solution of the given functions using graph.
Explanation:
I need help right now!!!
1. Figure STUV is congruent to Figure KLMN because rigid motions can be used to map Figure STUV onto Figure KLMN.
2. Figure STUV is also similar to Figure KLMN because rigid motions and/or dilations can be used to map Figure STUV onto Figure KLMN. The scale factor is 2.
What does it mean for figures to be congruent?When it is said that two figures are congruent, like the ones shown on the graph, This means that they have the same shape and size.
Similar figures have the same shape, but they may have different sizes and be located in different positions.
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