I have attached two general ledgers in excel format for 2021 & 2022. There is a debit balance (liability) for account 1970-000 which should not be the case. Please analyze the information in both general ledgers and find the issue. Let me know why we have this debit balance at the end of 2022. Pivot tables & v-lookups might make this easier. This is very time sensitive so a prompt response will be appreciated.

Answer:

n = 30

Step-by-step explanation:

Since it is not a right-angle triangle, you will need to use sine or cosine rule;

We have two side lengths and the angle between, this means you need to use the cosine rule:

a² = b² + c² - 2bc.cosA

[tex]{a}^{2} = ({4 \sqrt{3} })^{2} + {( \sqrt{6} )}^{2} - 2( 4\sqrt{3})( \sqrt{6} ). \cos(45) \\ {a}^{2} = 48 + 6 - 8 \sqrt{18}(0.707...) \\ {a}^{2} = 54 - 24 \\ {a}^{2} = 30 \\ a = \sqrt{30}[/tex]

Answer:

n = 30

Step-by-step explanation:

For this question, use the cosine law formula:

[tex]a=\sqrt{c^2+b^2-2cb*cosA} \\a=\sqrt{(\sqrt{6})^2+(4\sqrt{3})^2-2(\sqrt{6})(4\sqrt{3})*cos45 }\\a =\sqrt{6+48-(8\sqrt{18})*\frac{\sqrt{2} }{2} }\\a=\sqrt{54-\frac{8\sqrt{36} }{2} }\\a=\sqrt{54-24}\\a=\sqrt{30}[/tex]

If a = [tex]\sqrt{n}[/tex], then n must be 30

Answer: R-squared

Step-by-step explanation:

pronounced ARRRrrr-squared

Answer:

Step-by-step explanation:

The number is 75,146.

This can be arrived at by breaking down the number as follows:

7 ten thousands: 70000

5 fewer thousands than ten thousands: 10000 - 5000 = 5000

1 more hundred than thousands: 5000 + 100 = 5100

6 more tens than hundreds: 5100 + 60 = 5160

5 more ones than ten hundreds: 5160 + 5 = 5165

So, 70000 + 5000 + 5100 + 60 + 5 = 75,165

The average speed is 75.33 miles per hour.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

Distance = 565 miles

Time.

= 5:00 pm t0 12:30 am

= 7.5 hours

Now,

Average speed.

= 565 / 7.5

= 75.33

Thus,

75.33 miles per hour is the average speed.

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Answer:

y = 5

Step-by-step explanation:

The angle formed is a right angle which has a measure of 90 degrees. This means that the sum of the two angles is 90 degrees. Using this information we can set up an equation and solve for y

Set up equation

7y + 8 + 8y + 7 = 90

==> combine like terms

15y + 15 = 90

==> subtract 15 from both sides

15y = 75

==> divide both sides by 15

y = 5

At the clothing store, the number of customers that one employee can help is 4 customers.

At the coffee shop, the number of customers that one employee can help is 6 customers.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

Next, we would determine the linear equation representing the clothing shop with these points (2, 4) and (3, 6) by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 4 = (6 - 4)/(3 - 2)(x - 2)

y - 4 = 2(x - 2)

y = 2x + 2

When x = 1, we have:

y = 2(1) + 2

y = 4 customers.

Furthermore, a linear equation which models the coffee shop is given by:

y = kx

Where:

k = y/x

k = 6/1

Therefore, the required linear equation which models the coffee shop is y = 6x.

When x = 1, we have:

y = 6(1)

y = 6 customers.

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Answer:

answer is D

Step-by-step explanation:

A={h,I,j,k l} and B={h,j,l m,n}

n(A U B)={h,I,j,k,l,m,n }

number is 7

The probability of P(X=10) is  [tex]\frac{27}{216}[/tex]

To get a sum of 10 , the possible triples are

Set1      Set2

136        226

145        244

235       334

If a ≠ b ≠ c  there exist 3 !=b number of permutations of (a, b, c).

If a = b ≠  c then there exist 3 unique permutations of (a, b, c).

In set 1 in each combinations, there are different numbers. joe [tex]$a \neq b \neq c$[/tex]. Thus for each combination there exist 6 permutations.

For example (1 3 6) can be written in 6 different ways.

(1 3 6), (1 6 3), (6 1 3), (3 1 6), (6 3 1)

This, we can get a sum of 10 from the numbers 136 in 6 ways.

There are 3 different combinations in set 1 , thus total number ways =3*16-18.

In set of 2 each combination can be obtained in a 3 ways.

So, total number of ways in set 2 is 3*3=9.

The total is 18+9=27 number of possible ways to get sum of 10 in three dice.

⇒P(X=10)=[tex]\frac{27}{6^{3} }[/tex]

⇒P(X=10)=[tex]\frac{27}{216}[/tex]

Therefore, the P(X=10) is [tex]\frac{27}{216}[/tex].

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The exact value of the trigonometric function is equal to - √5 / 2.

In this problem we must derive the exact value of a trigonometric function based on result of another trigonometric function and given quadrant from Cartesian plane.

Cartesian plane is formed by intersection of two orthogonal axes that creates after four regions known as quadrants, now defined:

And trigonometric functions for a given angle are defined below:

sin θ = y / r

cos θ = x / r

tan θ = y / x

cot θ = x / y

sec θ = r / x

csc θ = r / y

Where r = √(x² + y²) by Pythagorean theorem.

First, derive the components of the given trigonometric function:

sec θ = 3 / 2 → x = 2, r = 3

y = - √(r² - x²)

y = - √(3² - 2²)

y = - √(9 - 4)

y = - √5

Second, find the exact value of the tangent:

tan θ = - √5 / 2

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Answer:

7 times 4 equals 28

Step-by-step explanation:

Answer:

The answer will be 2

Step-by-step explanation:

x = 14 y = 4

x = ? y = 28

= 14 × 4 = x × 28

= 56 = x × 28

= x = 28/56

= x = 2

Answer:

9

30

2.5

4

Step-by-step explanation:

I hope you understand cause I did it mentally but if you need and explanation just text here

[tex]-\frac{263}{6}[/tex] or [tex]-43.8333.[/tex]

[tex]\frac{7}{6} -(18+27)[/tex]

[tex]\frac{7}{6} -(45)\\ \\\frac{7}{6} -45[/tex]

This can be done by multiplying number 45 by the denominator of the fraction (6) and adding 6 as a denominator of 45.

[tex]\frac{45}{6}*6\\ \\ \frac{270}{6}[/tex]

[tex]\frac{7}{6} -\frac{270}{6}[/tex]

[tex]\frac{7-270}{6}=\\ \\-\frac{263}{6}[/tex]

Since the numerator of this fraction (263) is a prime number, the fraction cannot be further simplified and it's the final result.

Answer:

pls give brainiest

Step-by-step explanation:

a）2（x＋5）＋4（x-1）

＝2x＋10＋4x-4

＝6x＋6

＝6（x＋1）

b）3（y-2）＋2（y-1）

＝3y-6＋2y-2

＝5y-8

c）7（r＋3）-2（r-1）

＝7r＋21-2r＋2

＝5r＋23

If Steve just got a new job working at a bank.  Steve's gross monthly income is $5,000, Steve's monthly net income is  $3,277 and Seve can afford the suit based on the 5% spending guideline for clothing.

a. Steve's gross monthly income is

Gross income = $60,000 / 12

Gross income = $5,000

b.  Steve's monthly net income

His deductions are:

Medicare: $72.50

Social Security: $310

Federal Tax: $500

State Tax: $262.50

Health insurance: $553

Dental insurance: $127

Total deductions = $72.50 + $310 + $500 + $262.50 + $553 + $127 = $1723.00

Steve's monthly net income = $5,000 - $1,723 = $3,277

c. In order to  see if Steve can afford the suit using the 5% spending guideline for clothing, we need to find the 5% of his monthly net income:

5% of $3,277 = $163.85

Since  the amount of $150 is less than $163.85, Steve can afford the suit based on the 5% spending guideline for clothing.

Therefore  Steve's gross monthly income is $5,000, Steve's monthly net income is  $3,277 and Seve can afford the suit based on the 5% spending guideline for clothing.

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Answer:

Step-by-step explanation: (x*2)+(6*2)

The 95% confidence interval estimate of the change in occupancy for the one year period is given as follows:

(0.1441, 0.1815).

A confidence interval of proportions has the bounds given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The percent change is given by the change divided by the initial value, hence the parameters are given as follows:

[tex]n = 1505, \pi = \frac{1750 - 1505}{1505} = 0.1628[/tex]

Hence the lower bound of the interval is of:

[tex]0.1628 - 1.96\sqrt{\frac{0.1628(0.8372)}{1505}} = 0.1441[/tex]

The upper bound of the interval is of:

[tex]0.1628 + 1.96\sqrt{\frac{0.1628(0.8372)}{1505}} = 0.1815[/tex]

Only the confidence interval can be calculated as the remainder of the problem is incomplete

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Answer:

your answer is going to be 390625

Step-by-step explanation:

do 5x5x5x5x5x5x5x5 and you will get 390625

According to the problem the domain of this function is all real numbers x greater than or equal to 0.

Real numbers are any number that can be used to represent a quantity on the number line. They include both rational numbers (integers, fractions, and decimals) and irrational numbers (numbers that cannot be expressed as a fraction). Real numbers can be positive, negative, or zero and include the number line's endpoint values of positive and negative infinity. Real numbers are used in many areas of mathematics, including algebra and calculus. They are also found in everyday life, in the measurements of length, temperature, and in currency values.

The domain of this function is all real numbers x greater than or equal to 0. The range of this function is all real numbers y greater than or equal to 3. This is because all values of x are mapped to values of y that are greater than or equal to 3.

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Answer: 214.008

Step-by-step explanation: hope this helped :)

Answer:

Step-by-step explanation:

Answer is A

Based on the Law of Cosines; it was proven that:

Please note that the given equation on number 3 is wrong. The correct equation should be: a² + b² + 2bx = c². The explanation why the given equation is incorrect will be explained later.

Based on the unshaded triangle, we can find that:

cos Θ = x/a

Next, we will prove that: cos (180 - C) = x/a

Remember that:

cos (A + B) = cos A cos B - sin A sin B

Law of Cosines: c² = a² + b² - 2ab. cos C

cos C = - [c² - (a² + b²)] /2ab ... (i)

Then:

cos Θ = cos (180 - C)

cos (180 - C) = cos 180 . cos C - sin 180 . sin  C

We subtitute equation (i):

cos (180 - C) = (-1) (- [c² - ((a² + b²)] / 2ab) - 0 sin C

cos (180 - C) = [c² - (a² + b²)]/ 2ab ... (ii)

If we focus on the unshaded triangle, we can find an equation of a, where:

a² = h² + x² ... (iii)

And if we combine both triangle into a giant triangle, we can make another equation of c. where:

c² = (x + b)² + h² ... (iv)

We will subtitute equation (iv) into equation (ii):

cos (180 - C) =  [c² - (a² + b²)]/ 2ab

cos (180 - C) = [(x + b)² + h² - (a² + b²)] / 2ab

cos (180 - C) = [x² + b² + 2bx + h² - a² - b²] / 2ab

cos (180 - C) = [x² + 2bx + h² - a²] / 2ab ... (v)

We subtitute equation (iii) into equation (v):

cos (180 - C) = [x² + 2bx + h² - a²] / 2ab

cos (180 - C) = [a² + 2bx - a²] / 2ab

cos (180 - C) = 2bx / 2ab

cos (180 - C) = x/a --> PROVEN!

Next, we will try to show why the given equation of a² + b² - 2bx = c² is incorrect.

We know that:

a² + b² - 2ab cos C = c²

c² = (x + b)² + h²

We will try to find the value of cos C:

a² + b² - 2ab cos C = (x + b)² + h²

a² + b² - 2ab cos C = x² + b² + 2bx + h²

a² - 2ab cos C = a² + 2bx

- 2 ab cos C = 2bx

cos C = - x/a

We will subtitute the value of cos C under the Law of Cosines:

c² = a² + b² - 2ab cos C

c² = a² + b² - 2ab (- x/a)

c² = a² + b² + 2bx --> PROVEN!

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if the area of a circle is 36.2 square inches, the radius of the circle to the nearest tenth is 3.4 inches.

The area of a circle is 36.2 square inches and we have to determine the radius of the circle to the nearest tenth.

The formula of the area of the circle is given as:

Area of circle = πR², where R is the radius of the circle.

We are given, Area of the circle = 36.2 square inches

So, πR² = 36.2 square inches

Now, π = 3.14

3.14R² = 36.2 square inches

R² = 36.2/3.14

R² = 11.53

Taking square root on both sides

R = √11.53

R = 3.39 inches

R ≈ 3.4 inch (Rounded to the nearest tenth)

Hence, the radius of the circle to the nearest tenth is 3.4 inches.

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Answer:

This is a system of equations problem. We can set up the equations as follows:

3x + 4y = 430 (1)

x + y = 125 (2)

Where x is the number of tacos sold and y is the number of burritos sold.

We can solve for x in equation (2) by subtracting y from both sides:

x = 125 - y

Now we can substitute this expression for x into equation (1):

3(125 - y) + 4y = 430

375 - 3y + 4y = 430

3y + 4y = 430 - 375

y = 55

So, 55 burritos were sold on Tuesday. To find the number of tacos sold, we can use equation (2) and substitute in the value we found for y:

x + 55 = 125

x = 70

Therefore, 70 tacos were sold on Tuesday.

Answer:

(f - g)(x) = f(x) - g(x) = (x² - 8x + 12) - (x - 2) = x² - 8x + 12 - x + 2 = x² - 9x + 14. So, (f - g)(x) = x² - 9x + 14.

Answer:

x = 13

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

sum the 6 exterior angles and equate to 360

3x + 6 + 41 + 6x - 5 + 4x + 7 + 62 + 7x - 11 = 360

20x + 100 = 360 ( subtract 100 from both sides )

20x = 260 ( divide both sides by 20 )

x = 13

Answer:

the answer will be 19/8

Step-by-step explanation:

pls give brainlyest

Answer:

If Joe invested x dollars in company A, he invested x + 40 dollars in company B.

Answer:

a, 18 girls

b. 21 boys

Step-by-step explanation:

a) To find the number of girls in the club, we can use the fact that the ratio of boys to girls is 5:6. If we let x be the number of girls in the club, then the number of boys is 5/6x.

When 6 more boys join the club, the new ratio is 13:12.

We can set up the equation: (5/6x)+6 = (13/12*x).

Solving for x gives us x = 18.

So there are 18 girls in the dance club.

b) To find the number of boys in the club in the end, we can use the new ratio of 13:12 and the number of girls we found earlier (18). If we let y be the number of boys in the club in the end, then the number of girls is 12/13y.

We can set up the equation: 18 = (12/13y)

Solving for y gives us y = 21.

So there are 21 boys in the dance club in the end.

a) The transformations applied to the graph of f to obtain the graph of g are given as follows:

b) The rule for g(x) is given as follows: g(x) = 2x³ - 6x² + 3.

The parent function f(x) is defined as follows:

f(x) = x³ - 3x² + 2.

The transformed function is given as follows:

g(x) = 2f(x) - 1.

The meaning of each transformation is given as follows:

The rule for g(x) is then obtained as follows:

g(x) = 2(x³ - 3x² + 2) - 1

g(x) = 2x³ - 6x² + 4 - 1

g(x) = 2x³ - 6x² + 3.

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Answer:

6x + y

Step-by-step explanation:

Remove the parenthesis

8x−6y−2x+7y

Add like terms

(8x−2x)+(−6y+7y)

Simplify

6x+y

Answer:

(-6x-y)

Step-by-step explanation:

We would subtract like terms

2x and 8x are like terms

2x-8x = -6x

-7y and -6y

-7y+6y = -y

Giving us...

(-6x-y)