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

Answer:

f=25

Step-by-step explanation:

24+1=25

25-1=24

Answer:

90π

Step-by-step explanation:

282.74 / π

282.74 / 3.14159 = 90

282.74 = 90π

Answer:

B) [tex]-\frac{a}{-b}[/tex]

Step-by-step explanation:

The value [tex]-\frac{-a}{b}[/tex] is the same as [tex]\frac{a}{b}[/tex] since the negatives cancel out to make a positive.

Option A is incorrect since the overall value of the term would be negative. Option B however is correct since there will not be a negative value in the denominator of a fraction and thus it cancels out with the negative in front of the fraction to produce the value of [tex]\frac{a}{b}[/tex] which is the same as the expression given in the question, thus it is option B.

Answer:

the graph is incorrect first u correct this

Answer:

Step-by-step explanation:

Correct choice is D

Answer:

D. 25x⁴ + 30x³ + 29x² + 12x + 4

Step-by-step explanation:

(5x² + 3x + 2)² =

(5x² + 3x + 2)(5x² + 3x + 2) =

5x²(5x² + 3x + 2) + 3x(5x² + 3x + 2) + 2(5x² + 3x + 2) =

25x⁴ + 15x³ + 10x² + 15x³ + 9x² + 6x + 10x² + 6x + 4 =

25x⁴ + 30x³ + 29x² + 12x + 4

Answer:

x = 11

Step-by-step explanation:

    If the lines were parallel, then the transversal would make 2x + 1 and 23° alternate interior angles. Alternate interior angles equal one another, so set up the following equation.

[tex]2x+1=23~(Given)\\\\2x+1-1=23-1~(Subract~1~on~both~sides)\\\\2x=22~(Simplify)\\\\\frac{2x}{2}=\frac{22}{2}~(Divide~2~on~both~sides)\\\\x=11~(Simplify)[/tex]

lol mine looks different

Which is the initial value of the function represented by this graph?

1

5

6

7

answer : 1

Answer: It is irrational and equal to 3 times the square root of 2.

Answer:

It is irrational and equal to 3 times the square root of 2.

Step-by-step explanation:

just like the other guy said

Answer:

rise is 4 and run is 1 so 4/1 or 4

the answer is b

Hope This Helps!!!

From home to A has 5 routes. Ex: Route A,B,C,D,E.

A to B has 5 routes. Ex: Route F,G,H,I,J

The shorter way is 5x5 = 25

The longer way is A.F , A.G, A.H, A.I, A.J. + B.F, B.G, B.H, B.I, B.J and continue on...

Answer:  D.  [tex]g(x) = (x-b)^2[/tex]

Explanation:

If we want to shift the curve some distance b to the right, then we'll need to replace x with x-b. What this effectively does is shift the xy axis itself b units to the left while the curve is fixed in place. This gives the illusion of the curve moving b units to the right.

Put another way: the old input x is updated to the new input x-b which is smaller by b units. This helps explain why the xy axis is shifted to the left this amount.

So that's how we go from [tex]f(x) = x^2[/tex] to [tex]g(x) = (x-b)^2[/tex]. You can think of it as [tex]g(x) = f(x-b) = (x-b)^2[/tex]

Answer: x = -1.4

Step-by-step explanation:

Answer: x = -7/5

Step-by-step explanation: (3)(x)+(3)(−6)+−8x = −2+(5)(2x)+(5)(1)                       3x+−8x+−18 = 10x+−2+5                                                                                       −5x+−18 = 10x+3                                                                                                 −5x−18-10x = 10x+3-10x                                                                                             −15x−18+18 = 3+18                                                                                                   −15x/-15=21/-15                                                                                                         x = -7/5

Answer:

Slope intercept form is y = x - 6 (you don't write 1 in front of x in this case btw)

Slope = 1

Y-intercept = -6

Step-by-step explanation:

Slope intercept form looks like this y=mx+b, where m is slope and b is y-intercept.

To find slope, we will do y2 - y1 over x2 - x1.

This is how coordinates are written btw (x,y)

So we will do:

-2 - (-9) = -2 + 9 = 7

4 - (-3) = 4 + 3 = 7

Since 7/7 is the same as 7÷7, the slope is going to be 1. (It's also a positive slope btw)

Now, in order to find what the y-intercept is, you should use the point slope formula⤵⤵⤵:

[tex]y - y _{1} = m(x - x _{1})[/tex]

We'll use point (4,-2) for this:

y + 2 = 1 (x - 4)

Now we solve:

Distribute the 1 among everything inside the parenthesis to get y + 2 = x - 4, then subtract 2 on both sides to get y = x - 6.

Hope this helps :)

Step-by-step explanation:

Let the number be x

According to the question

2(x+36)=90

2x+72=90

2x=90-72

2x=18

x=18/2

x=9

Answer:

Three hundred thousand

Step-by-step explanation:

Hope this helps

Answer: 400,00 km

Step-by-step explanation: 1:50,000 = 8:x

8 * 50,000 = 400,000

So, 8km on the map is 400,000 km in real life.

Would appreciate brainly <3

Answer:

1/4

Step-by-step explanation:

Solution: as shown in the figure,

2/8 = 1/4

Answer:

3

Step-by-step explanation:

i thing

Answer:

Theorem 10.5: If two parallel lines are cut by a transversal, then the exterior angles on the same side of the transversal are supplementary angles.

Answer:

a

Step-by-step explanation:

Answer:

C) 2/5×1/4

Step-by-step explanation:

Dividing by a number is the same by multiplying by the reciprocal of the number.

For Example:

1/2 divided by 3 would be the same as 1/2 x 1/3

So for this problem we are given that 2/5 is divided by 4 which would be the same as 2/5 multiplied by the reciprocal of 4 which is 1/4 and thus the answer is option C which is 2/5×1/4

Answer:

B. -111

Step-by-step explanation:

y = -4x^2 - 3x + 4

x = 5

y = -4(5)^2 - 3(5) + 4

y = -4(25) - 15 + 4

y = -100 - 15 + 4

y = -111

...............................................................................................................................................

Please, write -4x^2 (not 04x2).

Then the quadratic model is y = -4x^2 - 3x + 4.

Now substitute 5 for x:  y(5) = -4 (5)^2 - 3(5) + 4

Simplifying,                     y(5) = -4(25) - 15 + 4 = -100 - 11 = -111.

•ω• Hewo fren!

☆☆●◉✿ Answer:✿◉●☆☆

7/27 + 1/6 = 23/54

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

When we add fractions we must make sure they both have the same denominator first. 7/27 and 1/6 don’t have the same denominator so THE FIRST STEP HERE is to convert both fractions to have the same denominator so we can add. IN ORDER TO DO THAT, we must find the LCM (Least Common Multiple). The LCM of 27 and 6 (,the denominators,) is 54. 6 • 9 = 54 and 27 • 2 = 54. So we have to multiply 1/6 • 9 and 7/27 • 2.

7/27 • 2 = 14/54

1/6 • 9 = 9/54.

14+9=23 so the answer is 23/54 because it cannot be simplified.

HOPE I HELPED!  ∧∧

→⇒brainliest please? ∑(OΔO )♥♥︎

Answer:

x = -7

Step-by-step explanation:

Eleven more than five times a number is equal to the difference between −38 and twice the number.

let x represent the number.

11 + 5x = -38 - 2x

7x +11 = -38.............add 2x to both sides

7x = -49................... subtract 11 from both sides

x = -7........................divide both sides by 7

Answer:

24000000

(might not be correct)

Step-by-step explanation:

might not be right but ill try:

ten digits: 10

4times:10x10x10x10=10000

times a letter:24 letters= 10000x24=240000

time three digits: 10x10x10=100x240000=24000000

The total number of combination for the repeating and not repeating cases are 260000000 and 604800 respectively.

Permutation and combination are the ways of counting.

Permutation implies selection of objects regardless of arrangement while Combination implies the selection when arrangement is important.

Given that,

The hotel reservation number contains 4 digits, 1 letter and then 3 digits.

Now, there are two possible cases for the given problem as follows,

Case 1 : The digits are repeating.

Then the total number of combinations for digits varying from 0 to 9 and 26 letters will be,

10 × 10 × 10 × 10 × 26 × 10 × 10 × 10

= 260000000

Case 2 : The digits are not repeating.

Then, for seven digits out of 10 the number of combinations are ¹⁰P₇.

And, for 26 letters it is ²⁶P₁.

Thus the total number of combinations are ¹⁰P₇ × ⁶P₁ which is equal to,

10 × 9 × 8 × 7 × 6 × 5 × 4 × 26

= 604800

Hence, the different number of combinations for the reservation number for the two cases are 260000000 and 604800 respectively.

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Answer:

Expression: 6x - 26. Equation: 3

Step-by-step explanation:

EXPRESSION

4x - 16 + 2x - 10

6x - 26

EQUATION 1

4x - 16 = 2x - 10 (Seems reasonable. Sorry if this isn't it)

4x = 2x + 6

2x = 6

x = 3

EQUATION 2

4x - 16 + 2x = - 10

6x - 16=  -10

6x = 6

x = 1

Given info:- Evaluate: [(5/6 + 2/3) - (3/4 + 1/12)] and find the Evaluated form = ?

Solution:-

Given fractional expression: [(5/6 + 2/3) - (3/4 + 1/12)]

Take the LCM of denominator 3 and 6 is 6.

Again take the LCM of denominator 4 and 12 is 12.

so,

⟼ [(5+4)/6 - (9+1)/12]

⟼ [9/6 - 10/12]

Now, take the LCM of the denominator 9 and 12 is 36.

⟼ [(54-30)/36]

Now, reduce the fraction by extracting and cancaling out with 2.

⟼ [24÷2/36÷2]

⟼ 12/18

⟼ 6÷3/9÷3

⟼ 2/3

Answer↓

Therefore, Evaluated form is 2/3.

Read more:

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This is an interesting problem.

But first, let us define what are the three possible cases :

A system of linear equations : a system of equation is when you have two equations with the same unknown variables, that you need to solve both together. Example : "x+y = - 7 AND x + y = - 4" are two equations that form a system of equation.

Plus they are linear, a linear equation is simply an equation of the form : y = ax + b where a and b are real numbers.

Here for example x + y = - 7 is a linear equation. Because y = 1 × x - 7

where a = 1 and b = - 7.

Consistent Dependent : A system of equation is consistent Dependant when it has an infinite number of solutions.

Consistent Independent : A system of equation is consistent Dependant when it has exactly one solution.

Inconsistent : A system of equation is Inconsistent if it haas no solutions.

Now, with those definitions above, we can work on our problem :

1. x + y = - 7 and x + y = - 4

Look at the picture attached the lines are parallel to each other so here the answer is Inconsistent

2. Same line : consistent dependent

3. Parallel Lines : Inconsistent

4. Lines cross at exactly one point :Consistent Independent

5. Lines cross at exactly one point : Consistent Independent.

You can see the graph of each systems in the pictures attached below.

Good luck, you will succeed :)

Answer:

4√6

Step-by-step explanation:

√6 is a common factor on either side of the plus sign.

Therefore you can use the distributive property to get it out as a common factor. If you do not know what the distributive property is, then you can just say that √6 is a common factor.

√6(1 + 3)            Combine the like terms in the brackets.

√6(4)   or

4√6

Answer:

Exact Form: 4√6

Decimal Form: 9.79795897...

Step-by-step explanation:

Please vote brainliest!

The range for the relation 12x + 6y= 247 is,

Range = {49.17, 41.17, 31.17}

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ 12x + 6y = 247

Now,

We have;

The domain is, {-4,0,5)

Hence, The range of the function is find as;

Put x = - 4;

⇒ 12x + 6y = 247

⇒ 12 × - 4 + 6y = 247

⇒ - 48 + 6y = 247

⇒ 6y = 247 + 48

⇒ 6y = 295

⇒ y = 49.17

Put x = 0;

⇒ 12x + 6y = 247

⇒ 0 + 6y = 247

⇒ 6y = 247

⇒ y = 41.17

Put x = 5;

⇒ 12x + 6y = 247

⇒ 60 + 6y = 247

⇒ 6y = 247 - 60

⇒ 6y = 187

⇒ y = 31.17

Thus, The range for the relation 12x + 6y= 247 is,

Range = {49.17, 41.17, 31.17}

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Answer:

Given 3:5 = 3+5=10,

400*3/8=150,

400*5/8=250.