Limited partnerships have two classes of partners. The
▼

limited
general

partner actually runs the business and faces unlimited liability for the​ firm's debt, while the
▼

limited
general

partner is only liable up to the amount the
▼

limited
general

partner invested

Amount to be repaid for Bank A is $2,696.625 and Amount to be repaid for Bank B is $2,741.25. However, I will choose Bank B because it offers a lower interest rate.

The formula to calculate the simple interest is;

I = PRT

Where;

P is principal

R is rate

T is time

Now, we are given that;

Bank A;

Principal amount; P = $2550

Interest rate; R = 11.5% = 0.115

Time; t = 6 months = 0.5 years

Thus;

I = (2550 * 0.115 * 0.5)

I = $146.625

Amount to be repaid = 2550 + 146.625

Amount to be repaid = $2,696.625

Bank B;

Principal amount; P = $2550

Interest rate; R = 7.5% = 0.075

Time; t = 12 months = 1 year

Thus;

I = (2550 * 0.075 * 1)

I = $191.25

Amount to be repaid = 2550 + 191.25 = $2,741.25

Thus, bank B offers a more favorable interest rate and as such would be the preferred bank.

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Answer:

x = 4

Step-by-step explanation:

Knowledge Needed

If you add, subtract, multiply, or divide the same number/variable on both sides of the equation, the end result will be the same.

To solve for a variable, we must first isolate it, meaning it is on its own side of the equation separate from integers and other constants.

The Question

8x + 4 = 27 + 6x - 15

Subtract 4 on both sides.

8x + 4 - 4 = 27 + 6x - 15 - 4

Combine like terms.

8x = 8 + 6x

Subtract 6x on both sides.

8x - 6x = 8 + 6x - 6x

Combine like terms.

2x = 8

Divide 2 on both sides.

[tex]\frac{2x}{2} = \frac{8}{2}[/tex]

Simplify.

x = 4

on solving the question, Therefore , the solution of the given equation problem comes out to be 8.

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

Here,

In the given quadratic equation,

[tex](-3)² - 5(-3) + c = 0\\c = -24\\x² - 5x - 24 = 0\\x = [-b ±√(b² - 4(a)(c))]/2a\\x = [-(-5) ± √((-5)² - 4(1)(-24))] /2(1)\\x = 8, -3\\[/tex]

thus, 8 is the alternate answer.

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The kite have a measure of the angle m∠WXY = 116°.

A kite is a quadrilateral which implies the sum of its interior angles is equal to 360°.A kite is symmetrical about its main diagonal and the angles where the adjacent pairs of sides meet are equal.

m∠XYW = 23°

m∠ZWY = 41°

m∠XYZ = 2 × 23° {main diagonal bisect m∠XWZ}

m∠XYZ = 46°

m∠XWZ = 2 × 41° {main diagonal bisect m∠XYZ}

m∠XWZ = 82°

m∠WXY = m∠WZY

2(m∠WXY) = 360° - (82° + 46°) {sum of interior angles of a quadrilateral}

2(m∠WXY) = 360° - 128°

2(m∠WXY) = 232° {divide through by 2}

m∠WXY = 232°/2

m∠WXY = 116°

In conclusion, the kite have the measure of the angle m∠WXY = 116°

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Answer:

To find the number of times that Aria's commute is between 32 and 35 minutes, we need to find the probability that her commute time is between 32 and 35 minutes and then multiply that probability by the total number of commutes per year.

To find the probability that Aria's commute time is between 32 and 35 minutes, we need to find the area under the normal curve between those two values.

We can use the following formula to convert the values 32 and 35 to standard units:

z = (x - mean) / standard deviation

Plugging in the values, we get:

z1 = (32 - 28) / 4.5 = 0.89

z2 = (35 - 28) / 4.5 = 1.56

To find the area under the curve between these two values, we can use a standard normal table or a calculator to find the area between these two values. The result is approximately 0.22.

Multiplying this probability by the total number of commutes per year gives us the number of times that Aria's commute is between 32 and 35 minutes.

So the number of times that Aria's commute is between 32 and 35 minutes is approximately 262 * 0.22 = 57.24, which is about 57 times to the nearest whole number.

Step-by-step explanation:

The count of fourths of a gallon that are in 3/4 of a gallon is 3

From the question, we have the following parameters that can be used in our computation:

Size of the gallon = 3/4 of a gallon

Section of the gallon = fourths

The count of fourths of a gallon are in 3/4 of a gallon using the following unit rate equation

Count = Size of the gallon/Section of the gallon

Substitute the known values in the above equation, so, we have the following representation

Count = (3/4)/(fourths)

fourths means 1/4

So, we have

Count = (3/4)/(1/4)

Evaluate the quotient

So, we have the following representation

Count = 3

Hence, the count is 3

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An example to support Fabian statement is that 25% of 100 is more than 10% of 100.

An example to negate Fabian statement is that 25% of -100 is less than 10% of -100.

A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100

An example to support Fabian statement is that 25% of 100 is more than 10% of 100. In this case, 25 it more than 10.

An example to negate Fabian statement is that 25% of -100 is less than 10% of -100. In this case, -25 is less than -10.

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Answer: -24

Step-by-step explanation: negative times a negative is a positive times a negative is a negative

The relationships that represent functions include the following:

Table B.

Mapping diagram C.

In Mathematics, a function is typically used in mathematics for uniquely mapping an input variable (domain or independent value) to an output variable (range or dependent value).

This ultimately implies that, an independent value represents the value on the x-axis of a cartesian coordinate while a dependent value represents the value on the y-axis of a cartesian coordinate.

Since the independent value (3) has multiple dependent values, the relation does not represent a function. Additionally, the second table represents a function because the independent value) and dependent value have unique values.

Lastly, the first mapping diagram represents a function because the independent values and dependent values are uniquely mapped as follows;

4 ⇒ 0

5 ⇒ 2

6 ⇒ 2

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The simplified for of the expression is as follows:

6⁻¹ = 1 / 6

6⁻² = 1 / 36

6⁻³ = 1 / 216

6⁻⁴ == 1 / 1296

In mathematics, an expression is a combination of numbers, variables, operations such as addition, subtraction, multiplication or division etc.

Therefore, the law of exponential can be used to simplify the exponent form of the expression as follows;
Therefore,

a⁻¹ = 1 / a

Hence,

6⁻¹ = 1 / 6

6⁻² = 1 / 6² =  1 / 6 × 6 = 1 / 36

6⁻³ = 1 / 6³ =  1 / 6 × 6 × 6 = 1 / 216

6⁻⁴ = 1 / 6⁴ =  1 / 6 × 6 × 6 × 6 = 1 / 1296

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The scale factor of dilation of the 10 cm by 10 cm picture to produce the 4 m by 4 m copy on the wall indicates that the dimension of the copy of the 1 cm by 1 cm box on the wall is 40 cm.

A scale factor is the factor or number of times by which the size of a pre-image is reduced or increased.

Possible parts of the question includes;

Dimensions of the picture = 10 cm × 10 cm

The dimensions of the wall = 4 m × 4 m

The dimensions of each box in the picture = 1 cm × 1 cm

The dimensions of each box on the wall are found as follows;

The linear scale factor of the picture to the copy of the picture on the wall is; 10 cm ≡ 4 m

Therefore; 1 cm ≡ (4/10) m = 0.4 m

1 centimeters is to 0.4 meters son the wall

10 cm on the picture is equivalent to 4 meters on the wall

Therefore;

(10 cm)/10 = 1 cm on the picture is equivalent to (4 m)/10 = 0.4 m on the wall

1 meters = 100 centimeters

The dimension of the box on the wall is therefore; 40 cm × 40 cm

The best correct option is; 40 cm

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The properties that are applied is A) Addition property of equality and division property of equality

Given equation 3 x -6 =12

Apply addition property of equality

Adding '6' on both sides , we get

                      3 x - 6 + 6 = 12 +6

                      3 x  = 18

Apply Division property of equality

Dividing '3' on both sides , we get

Applying division

3x / 3 = 18/3

on simplification , we get

                     x = 6

The solution of the given equation  is x =6

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The amount of the down payment is $91300 if the bank is offering the down payment percent 20%.

What is percentage ?

percentage can be defined as the product of given value , total value and hundred .

Given,

Mary Cunningham offered $456,500 for a home that had been

priced at $569,500.

A bank is willing to finance the purchase if she can make a down payment of 20%.

So,

the offered amount is $456,500

and the down payment percentage is 20%

let the amount of the down payment is x .

so the amount of the down payment is

x = (20 / 100 ) * 456500

x = 91300

Hence   the amount of the down payment is $91300.

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The total number of workers in that company is 3,400 workers.

To calculate the total number of workers in this company we must take into account what is the percentage of workers and the number of workers that we know:

25% = 850 workers (not women).

In accordance with the above information, we can state that we know a quarter of all the workers, that is, if a quarter of the workers equals 850 workers, 100% of the workers equals 850 * 4 as shown then:

850 * 4 = 3,400

So, the total number of workers would be 3,400, of which 850 are men and 2,550 are women.

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The solution to the quotient expression 35,370 ÷ 262 is 135

From the question, we have the following parameters that can be used in our computation:

The quotient. 35,370 ÷ 262

To start with, we need to represent the statement as an expression

So, we have the following representation

35370 ÷ 262 = 35370/262

Using a calculator, we have the following result

So, we have the following representation

35370 ÷ 262 = 135

Hence, the solution is 135

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The actual distance between two towns 15cm apart on the map is 6km.

Distance, a scalar quantity, measures the amount of space an object has travelled through while in motion. The distance when represented on a graph are usually scaled to a value that can be easily represented, rather than actual distance.

When using the cross-multiplication approach, the denominator of the first term is multiplied by the numerator of the second term, and vice versa. Cross-multiplication method can be used to solve linear equations containing two variables.

Given that:

2.5cm = 1km

15cm = x km

Using cross multiplication, we have:

[tex]x= \frac{(1)(15)}{2.5} \\\\x=6[/tex]

Hence, the actual distance between two towns 15cm apart on the map is 6km.

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The value of the tangent JK in the cyclic quadrilateral is 14.25

A cyclic quadrilateral is a four-sided polygon for which the opposite angles are supplementary, meaning that the sum of the angles is equal to 180 degrees. Additionally, a cyclic quadrilateral can also be defined as a quadrilateral that can be inscribed in a circle, meaning that all four vertices of the quadrilateral lie on the circumference of the same circle.

To find the value of x, we can use Pythagoras theorem.

c² = a² + b²

18² = 11² + x²

x² = 18² - 11²

x² = 203

x = √203

x = 14.25

The value of x in the tangent JK is 14.25

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Answer:

To calculate Almaz's typing rate in words per minute, you can divide the number of words she typed by the number of minutes it took her.

First, you'll need to convert the number of hours Almaz spent typing into minutes. You can do this by multiplying the number of hours by the number of minutes per hour. There are 60 minutes in an hour, so if Almaz spent 3.5 hours typing, she spent 3.5 * 60 = <<3.5*60=210>>210 minutes typing.

Then, to calculate Almaz's typing rate, you can divide the number of words she typed by the number of minutes it took her: 9050 words / 210 minutes = <<9050/210=43>>43 words per minute.

So Almaz's typing rate was approximately 43 words per minute.

Step-by-step explanation:

A box-and-whisker plot which represent the given data set is shown in the image attached below.

The five-number summary for the given data set have been listed correctly below.

In Mathematics, a box-and-whisker plot is sometimes referred to as a box plot and it can be defined as a type of chart that is used for the graphical or visual representation of the five-number summary of a data set with respect to locality, skewness, and spread.

By using an online box-and-whisker plot calculator, the five-number summary for the given data set include the following:

By critically observing the box-and-whisker plots (see attachment), we can logically deduce that all of the five-number summary for the given data set are correctly listed.

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The graph of the function would be a parabola with zeros at (0,0), (-1,4), (-3,0), (2,0), (0,-2), (3,0), (-1,0), (0,-3).

A function is a mathematical relationship between two or more variables where one variable (the output) is determined by the values of the other variables (the inputs). Functions are often written as an equation, such as y = f(x), where x is the input and y is the output. The equation defines the relationship between x and y and how the output (y) changes as the input (x) changes. Functions can be used to model real-life situations, such as predicting population growth or modeling the motion of objects.

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Answer:

melanie can do a job in 4 hours

so she can do 1/4 of the job in 1 hour

Kim does the same job in 6 hours

So he can do 1/6 job in 1 hour

Together they can do 1/4 + 1/6 of the job in 1 hour

1/4 + 1/6

= 3+2 / 12

= 5/12 job in one hour

so 1 job they will do together in 12/5 hours

= 2.4 hours

Answer:

-----------------------------

Current population is 370000 people.

Growth rate is 6.25%.

The population after 8 years will be:

The value of t is the total time she took in her whole journey = 1 hour and 30 minutes.

The definition of time is the system of those sequential relations that any event has to any other, as past, present, or future.

Given that, Layla went for a 10 km run. She ran the first 5 km in 30 minutes, then rested for 25 minutes. She then ran the rest of the way in 35 minutes.

The value of t will be the total time she took in her whole journey,

Therefore,

She ran for 30 minutes, then she 25 minutes, and then she completed the rest of the journey in 35 minutes'

SO, the total time she took = 30+25+35 = 90 minutes

90 minutes = 60 minutes + 30 minutes

= 1 hours + 30 minutes

= 1.5 hours or 1 hour and 30 minutes.

Hence, total time she took is 1 hour and 30 minutes.

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Achieving your goals is hard work. If they're aligned with your values and purpose, you're probably intrinsically motivated to keep going.

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Answer:

7/18.

Step-by-step explanation:

Based on the given conditions, formulate: 1 - 1/6 - 4/9 Convert the expression into a fraction: 1/1.

The value of the division for 7 1/2 divided by 3/4 will be 10.

It is important to note that this questions relates from a fraction. A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.

In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

The value of the division will be:

= 7 1/2 ÷ 3/4

= 15/2 ÷ 3/4

= 15/2 × 4/3

= 60/6

= 10

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Answer:

the answer will be 6

Step-by-step explanation:

The  ()₁ = −()₂ and obtain tension is T=11.20 kips.

When two or more real things come in contact with one another, forces are applied between them. We refer to these contact forces by various names depending on the objects in contact. We refer to the force as tension if one of the items in contact is a string, rope, cable, or spring.

Given

It appears that there are two design factors to take into account. The largest bending moment is one at point E. Once this information is understood, the size and material/joint choices for column DBE may be made (a decision regarding how deeply the steel column should be buried in the ground can be made later).

concrete dock to prevent failure at point E as a result of bending moment).

The maximum tension in the wire ADCF is the other metric we need to monitor. The column at point E's maximum bending moment can actually be reduced with proper cable tensioning.

Using an Excel spreadsheet to determine the necessary tension in the cable ADCF when the maximum bending moment at point E is minimised is one of the most crucial elements in solving this design problem.

The detailed solution is

:

∑ = 0:   − (3.75) + 3600 + 1200(6.5) = 0

Simplifying Eqn. we have

= (3.75) − 3600 − 7800

For x=1.5 ft, we have

()₁ = (3.75) − 3600(1.5) − 7800

For x=17.5 ft, we have

()₂ = (3.75) − 3600(17.5) − 7800

Therefore, the final solution for the problem becomes,

For the smallest max value of ,

we set ()₁ = −()₂ and obtain T=11.20 kips

Hence the  ()₁ = −()₂ and obtain T=11.20 kips.

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The graph that describes the relationship between the money raised and the number of students is A. graph with the x axis labeled number of students and the y axis labeled amount of money raised and a line going from the point 0 comma negative 100 through the point 2 comma negative 80.

The decorations for the dance cost $ 100 which means that the students would start from a negative amount when raising money. This negative amount is - 100 which is the amount made when there are zero students.

When two students pay for attending, they will pay :
= 10 x 2 students

= $ 20

The amount of money raised would then be:

= - 100 + 20

= - 80

So at the point where there are 2 students. the amount raised is - $80 which is shown on the graph as ( 2, -80 ).

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Answer:

For this, we work backward from the Pythagorean equation.

-b±√(b2-4ac)/(2a)

We have -4±√(11)

We can determine that b = 4 and 2a=1, so a = 1/2

Next, analyze the root to find c:

√(b2-4ac) = √11

(b2-4ac) = 11, but we know a and b

(42-4(1/2)c) = 11

(16 - 2c) = 11

-2c = -5

c = 5/2

So with a = 1/2, b = 4, and c = 5/2 we have our equation

(1/2)x2 + 4x + (5/2) = 0

Step-by-step explanation: