A partnership begins its first year with the following capital balances:
Alexander, Capital . . . . . . . . . . . . . . . . . . . . . . . . $ 90,000
Bertrand, Capital . . . . . . . . . . . . . . . . . . . . . . . . . 100,000
Coloma, Capital . . . . . . . . . . . . . . . . . . . . . . . . . . 160,000
The articles of partnership stipulate that profits and losses be assigned in the following manner:
∙ Each partner is allocated an interest equal to 5 percent of the beginning capital balance.
∙ Bertrand is allocated compensation of $45,000 per year.
∙ Any remaining profits and losses are allocated on a 3:3:4 basis, respectively.
∙ Each partner is allowed to withdraw up to $25,000 cash per year.
Assuming that the net income is $115,000 and that each partner withdraws the maximum amount
allowed, what is the balance in Coloma’s capital account at the end of the year?
a. $143,000
b. $135,000
c. $168,000
d. $164,000

Answers

Answer 1

Based on the information given the balance in Coloma’s capital account at the end of the year is: d. $164,000.

First step is to calculate the interest on capital for each partner

Alexander=$90,000×5%=$4,500

Bertrand=$100,000×5%=$5,000

Coloma=$160,000×5%=$8,000

Second step is to calculate Coloma capital and drawing

Coloma capital =$160,000 + (5% x $160,000)

Coloma capital=$160,000+ $8,000

Coloma capital=$168,000

Coloma drawing=$168,000-$25,000

Coloma drawing=$143,000

Third step is to calculate Coloma share of profit

Share of profit=$115,000-$45,000-$4,500-$5,000-$8,000

Share of profit=$52,500

Coloma profit=4/(3+3+4)×$52,500

Coloma profit=4/10×$52,500

Coloma profit=4/(3+3+4)×$52,500

Coloma profit=$21,000

Fourth step is to calculate balance in Coloma’s capital account

Coloma’s capital account balance=$143,000+$21,000

Coloma’s capital account balance=$164,000

Inconclusion the balance in Coloma’s capital account at the end of the year is: d. $164,000.

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Step-by-step explanation:

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Find a formula for the inverse of the following function, if possible.

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Answers

to find the inverse of any expression, we start off by doing a quick variables switcheroo and then solve for "y", so let's do so

[tex]\stackrel{P(x)}{y}~~=~~3\sqrt[3]{x}-1\implies \stackrel{\textit{quick switcheroo}}{x~~ =~~3\sqrt[3]{y}-1}\implies x+1 = 3\sqrt[3]{y}\\\\\\\cfrac{x + 1}{3}=\sqrt[3]{y}\implies \left( \cfrac{x + 1}{3} \right)^3 =y\implies \cfrac{(x+1)^3}{3^3}=y\implies \cfrac{(x+1)^3}{27}=\stackrel{\stackrel{y}{\downarrow }}{P^{-1}(x)}[/tex]

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Answer:

0.0077

Step-by-step explanation:

-
Find the equation of the line that
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Step-by-step explanation:

The first step is to Know the condition for two lines be parallel is that have the same slope, and this form the slope given is 2, therefore the new function has its slope too

2)  with the slope and the two points givens, you can find the equation

Y-Y1 = m( X-X1) ,   Y-6 = 2[(X-(-3)]  ⇒Y-6 = 2X+6 ⇒Y = 2X+12, AND THIS IS THE EQUATION PARALLEL TO THE LINE Y = 2X-7

Solve the equation.
-9x + 1 = -x + 17

Answers

Step-by-step explanation:

-9x + 1 = -x + 17

collect like terms

-9x + x = 17-1

-8x = 16

divide both sides by -8

-8x/-8 = 16/8

x = 2

Help, please! You will be extremely smart if you answer this question, and if you do I will give brainliest. The test ends soon please help.

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B. y=6-1/3t

Step-by-step explanation:

If you graph this equation, it matches the given graph. Hope this helps :)

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Answer:

5%equals 5 divided by 100 equals 600

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Answer:

surface area is 2(lb + bh + lh)

I think this is the right formula

Answer:

Total surface  area = 62 cm^2.

Step-by-step explanation:

There are 2 faces each of area 2 * 3 = 6, = 12 cm^2.

There are 2 faces each of area 10, = 20 cm^2.

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Answers

Answer:

No. It is not greater than 3/8

Step-by-step explanation:

3/8 x 100

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=> 37.5

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Therefore, 26% is not greater than 3/8 or 37.5

Hoped this helped.

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Answer:

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Step-by-step explanation:

Equation:

5.35 = 1.55 + 0.75x       [tex]\longmapsto\\[/tex]       Subtract 1.55 from both sides

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5 1/15 lb

-Chetan K

 

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Answers

Answer:

p^2-4p-21=0

Step-by-step explanation:

Where you see (x^2 + 6) you put in p.

p 2  - 21 = 4 ( x 2 + 6 )

p 2 - 21 = 4p

p 2 - 4p - 21 = 0

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Step-by-step explanation:

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In a 2004 poll of 500 cell phone users conducted by the Yankee Group, 20% indicated that they had received commercial messages or ads on their cell phones. Is there sufficient evidence to conclude that the proportion of cell phone users who have received commercial messages or ads in 2004 was greater than the proportion of .13 reported for the previous year

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Step-by-step explanation:

The graphs below have the same shape. What is the equation of the blue
graph?

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Answers

The graphs of f(x) and g(x) are related by transforming one of the two graphs.

The equation of the blue graph is [tex]\mathbf{g(x) =(x - 4)^2}[/tex]

From the graphs, we have:

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The rule of this transformation is:

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So, we start by calculating f(x - 4)

Given that:

[tex]\mathbf{f(x) =x^2}[/tex]

Substitute x - 4 for x in f(x)

[tex]\mathbf{f(x - 4) =(x - 4)^2}[/tex]

Also, recall that:

[tex]\mathbf{g(x) \to f(x - 4)}[/tex]

So, we have:

[tex]\mathbf{g(x) =(x - 4)^2}[/tex]

Hence, the equation of g(x) is [tex]\mathbf{g(x) =(x - 4)^2}[/tex]

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18
What is the value of y?
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From the principles of geometry, we can see that the value of y is 3.

Are the opposite sides of a rectangle equal?

The lengths of the opposing sides in a rectangle are equal. A rectangle is a quadrilateral with four parallel opposed sides and four right angles (90-degree angles).

In specifically, a rectangle has two sets of equal-length opposite sides. In a rectangle, the lengths of the neighboring sides can vary, but the lengths of the opposing sides are always the same. This feature sets a rectangle apart from other quadrilaterals.

We know that;

10 = 2y + 4

10 - 4 = 2y

y = 6/2

y = 3

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68% of what number is 17

Answers

Answer:

25

Step-by-step explanation:

We can set up an equation and solve for x (68% of x is 17)

68%*x=17       perform the inverse operation and divide both sides by 68%

dividing both sides by 68% will isolate the x variable

68%*x/68%= 17/68%      

x=17/68%

x=25

so, therefore,

68% of 25 is 17

Answer:

[tex]\displaystyle 11\frac{14}{25}[/tex]

Step-by-step explanation:

Whenever you take a percentage of something, you multiply. Turn 68% into a fraction and multiply by 17:

[tex]\displaystyle \frac{289}{25} = [\frac{17}{25}][17] \\ \\ \boxed{11\frac{14}{25}} = \frac{289}{25}[/tex]

I am joyous to assist you at any time.

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1)2

2)4

3)6

4)8

5)10

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If you start with 65 milligrams of Chromium 51, used to track red blood cells, which has a half-life of 27.7 days. How long will it take for 80% of the material to decay?

Answers

Answer:

Half-Life uses the formula N () = Noe # No = Initial Amount time h = length of half-life. Ifyou start with 65 milligrams of Chromium 51,used to track red blood cells, which has half-life of 27.7 days: How long will it take for 80% ofthe material to decay? t= (27.7) h5 (65) (h3) 4= (27.7) h; (05)

Step-by-step explanation:

For the given data it will take 8.69 days for 80% of the material to decay.

What is half-life?

A radioactive substance's half-life is typically described as the amount of time it takes for one-half of its atoms to disintegrate or change into another substance.

It is given that, If you start with 65 milligrams of Chromium 51, used to track red blood cells, which has a half-life of 27.7 days.

N₀ = 65 milligrams

t1/2=27.7 days

N(t)=0.8(65 milligrams)=52 milligrams

[tex]N(t) = N_0(1/2)^ {\frac{t}{t_{1/2}} }[/tex]

Here,

N(t) is the amount of the substance remaining

N₀ is the initial substance amount

t is the time elapsed

t1/2 is the half-life

Substitute the given values,

[tex]N(t) = N_0(1/2)^ {\frac{t}{t_{1/2}} } \\\\ 52 = 65(1/2)^\frac{t}{27.7} \\\\ 52=65\left(\frac{1}{2}\right)^{\frac{t}{27.7}} \\\\ \frac{65\left(\frac{1}{2}\right)^{\frac{t}{27.7}}}{65}=\frac{52}{65} \\\\ \left(\frac{1}{2}\right)^{\frac{t}{27.7}}=\frac{4}{5} \\\\ \frac{t}{27.7}\ln \left(\frac{1}{2}\right)=\ln \left(\frac{4}{5}\right) \\\\ t =-\frac{27.7\ln \left(\frac{4}{5}\right)}{\ln \left(2\right)}[/tex]

[tex]t = 8.69 \ days[/tex]

Thus, for the given data it will take 8.69 days for 80% of the material to decay.

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need help with this :)))))))

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Answer:

C

Step-by-step explanation:

For Triangles to be similar, there have to be a corresponding length and angle

Darryl deposits $1,500 into a savings account that has a simple interest rate of 2.7%.
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Answer:

12

Step-by-step explanation:

In the previous year, at Hub Motors ltd, for a particular model of Mercedes, Nissan and Ford, one could purchase (in million shillings) all three cars for a total of Ksh 150. This year, due to inflation, the same cars would cost Ksh 161. The cost of the Mercedes increased by 8%, the Nissan by 6%, and the Ford by 12%. If the price of last year's Nissan was Ksh 7 less than the price of last year's Mercedes, Use matrix inverse to find the price of each of the three cars last year?​

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Answer:

Step-by-step explanation:

Which equation represents this sentence?

6 times the difference of a number and 5 is equal to 36


5−6x=36

6(x−5)=36

6x−5=36

6(5−x)=36

Answers

It’s 6(x-5)=36 because when it’s says times the difference it means 6 times x-5 if that makes sense

The equation that represents this sentence "6 times the difference of a number and 5 is equal to 36" will be; 6(x - 5) = 36

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We are given a statement as "6 times the difference of a number and 5 is equal to 36"

Therefore, the 6 times means the multiplication.

Let the number be x then;

the difference of a number and 5 is equal to 36 means the subtraction that is;

(x - 5) = 36

Therefore, the equation becomes

6(x - 5) = 36

The equation that represents this sentence "6 times the difference of a number and 5 is equal to 36" will be; 6(x - 5) = 36

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