Solve for x:(4x-8)x = (-2X + 8) 8

The bank reconciliation shows an adjusted bank balance of Br.5,301.42 and an adjusted ledger balance of Br.4,173.83.

To prepare the bank reconciliation and journal entry for ABC Company based on the given information, we need to compare the transactions recorded in ABC's ledger with the transactions shown in the bank statement. Here's the bank reconciliation:

1. Bank Statement Balance:

Cash on deposit at July 31: Br.4,964.47

2. Adjusted Bank Balance:

Bank Statement Balance: Br.4,964.47

3. Deposit not on the statement: + Br.410.90

(Adjusted Bank Balance: Br.5,375.37)

Erroneously charged check: + Br.79

(Adjusted Bank Balance: Br.5,454.37)

Outstanding checks:

Check 801: - Br.100.00

Check 888: - Br.10.25

Check 890: - Br.294.50

Check 891: - Br.205.00

(Adjusted Bank Balance: Br.4,844.62)

4. Incorrectly charged check: + Br.90

(Adjusted Bank Balance: Br.4,934.62)

5. Collection of interest-bearing note: + Br.500

(Adjusted Bank Balance: Br.5,434.62)

6. Interest earned: + Br.24.75

(Adjusted Bank Balance: Br.5,459.37)

7. Incorrectly recorded check: - Br.90

(Adjusted Bank Balance: Br.5,369.37)

8. Collection fee: - Br.5.00

(Adjusted Bank Balance: Br.5,364.37)

9. NSF check: - Br.50.25

(Adjusted Bank Balance: Br.5,314.12)

10. Service charge: - Br.12.70

(Adjusted Bank Balance: Br.5,301.42)

Adjusted Ledger Balance:

Bank Balance in ABC's Ledger: Br.4,173.83

Reconciled Bank Balance: Br.5,301.42

Reconciled Ledger Balance: Br.4,173.83

Journal Entry:

To record the bank reconciliation, we make the following journal entry:

Debit: Cash (Ledger Balance adjustment) - Br.5,301.42

Credit: Cash (Bank Statement Balance adjustment) - Br.4,964.47

Credit: Miscellaneous Income/Expense - Br.336.95 (the difference between the two balances)

This journal entry ensures that the ledger balance matches the reconciled bank balance by adjusting for the discrepancies identified during the reconciliation process.

The journal entry reflects the necessary adjustments to reconcile the two balances, with a debit to Cash (Ledger Balance adjustment), a credit to Cash (Bank Statement Balance adjustment), and a credit to Miscellaneous Income/Expense to account for the difference.

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Answer:

\(y=-\frac{1}{3}x+\frac{5}{3}\)

Step-by-step explanation:

Assuming that the first exponent in the formula for the curve should be 3, not 2...

\(y=x^3-2x^2-4x+1\)

The derivative is

\(y'=3x^2-4x+4\)

The slope of the tangent line at the point (-1, 2) is the value of the derivative at x = -1.

\(y'|_{x=-1} = 3(-1)^2-4(-1)+4=3-4+4=3\)

The slope of the normal line is the opposite reciprocal of the slope of the tangent line.

\(m_{\text{normal} = -\frac{1}{3}\)

Using the Point-Slope form of a linear equation, the normal line is

\(y-2=-\frac{1}{3}(x-(-1))\\y-2=-\frac{1}{3}(x+1)\\y=-\frac{1}{3}x-\frac{1}{3}+2\\y=-\frac{1}{3}x+\frac{5}{3}\)

Answer:

E = 36

Step-by-step explanation:

1. Add 7 to both sides of the equation

3e - 7 = 101

    +7     +7

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

3e = 108

2. Isolate the variable e by dividing by 3 on both sides

\(\frac{3e}{3} = \frac{108}{3}\)

3. Simipfy the equation

\(e = 36\)

Answer:

Ok

Step-by-step explanation:

The chain rule is used when a function is composed of two or more functions, where one function is applied to the output of the other. In other words, it is used when a function is "nested" inside another function. Thus, option A is correct.

We can solve this problem by applying the chain rule and the product rule of differentiation. Let's begin by simplifying the expression inside the parentheses:

\(y = ex (e^-2x + 7)\)

Now, let's apply the product rule:

\(dy/dx = (ex)'(e^-2x + 7) + ex(e^-2x + 7)'\)

Using the chain rule, we can find (ex)':

\((ex)' = ex\)

And using the chain rule again, we can find \((e^-2x + 7)':\)

\((e^-2x + 7)' = (-2e^-2x)\)

Substituting these values back into the original equation, we get:

\(dy/dx = ex(e^-2x + 7) + ex(-2e^-2x)\)

Simplifying, we get:

\(dy/dx = ex(e^-2x + 7 - 2e^-2x)\)

\(dy/dx = ex(e^-2x - e^-2x + 7)\)

\(dy/dx = ex(7)\)

Therefore, the answer is A) 7.

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The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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Answer:

y = 3/2x+3

Step-by-step explanation:

The y intercept is 3.  That is where it crosses the y axis

The slope is

m= (y2-y1)/(x2-x1)  and we have points(0,3) and (-2,0)

   = (0-3)/(-2,0)

  =-3/-2

  =3/2

Using the slope intercept form of a line

y = mx +b where m is the slope and b is the y intercept

y = 3/2x+3

Answer:

I believe this could happen 27 different ways.

Step-by-step explanation:

-31200

5000 + 500 = 5500

5500- 36700 = -31200

Answer: 31, 200

Step-by-step explanation: First add 5,000 + 500m, then subtract 36,700 - 5,500 which equals 31,200

Answer:

C = 7.2

Step-by-step explanation:

What's Pythagorean Theorem?

To find the value of C, we're going to use Pythagorean Theorem! We're given the legs as 4 and 6.

Step 1: Simplify.

Step 2: Take square root of both sides.

Therefore, the value of C is 7.2.

Answer:

24/25

Step-by-step explanation:

Sin indicates the trigonometric function sine.

The sine ratio is opposite over hypotenuse, referring to the side lengths. An easy way to remember this is: SOH CAH TOA (sine-opposite-hypotenuse | cosine-adjacent-hypotenuse| tangent-opposite-adjacent)

Here we are dealing with sinC.

The side opposite of angle C is 48. The hypotenuse of this right triangle is 50.

Therefore, our ratio is 48/50.

This ratio can be simplified by dividing both the numerator and denominator by 2.

24/25

This is your fully simplified answer.

Hope this helps!

Since the equation is

Solve the equation means find the value of a

To find a divide both sides by 3

SOLUTION:

To covert temperature from degree to Celsius to Fahrenheit, we make use of the formula below;

So we convert 20 degrees Celsius to Fahrenheit;

The equivalent Fahrenheit temperature is 68 degrees Fahrenheit.

The probability of selecting a junior who takes the bus is P (Junior who takes the bus) = 12/200 = 0.06Hence, the probability that a randomly selected student is a junior who takes the bus is 0.06 or 6/100.

The given frequency table on how students get to school among the high school students is represented in the below table:Transportation Walk Bike BusDriveTotalGrade 9 11 10 14 15 50Grade 10 10 7 13 20 50Grade 11 8 6 12 24 50Grade 12 5 8 8 29 50 Total 34 31 47 88 200Given data from the above frequency table, we are interested in finding the probability of a randomly selected student being a junior who takes the bus.SolutionWe know that the total number of students is 200, and the total number of junior students is 50. Hence the probability of selecting a junior is P (Junior) = 50/200 = 0.25Similarly, the number of students who take the bus is 47 and the number of junior students who take the bus is 12.

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Using compound interest, it is found that he must invest his money at a rate of 8.78% a year.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

In this problem, the parameters are as follows:

t = 3, A(t) = 60000, P = 46150.3, n = 12.

Hence:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(60000 = 46150.3\left(1 + \frac{r}{12}\right)^{12 \times 3}\)

\(\left(1 + \frac{r}{12}\right)^{36} = 1.3\)

\(\sqrt[36]{\left(1 + \frac{r}{12}\right)^{36}} = \sqrt[36]{1.3}\)

\(1 + \frac{r}{12} = (1.3)^{\frac{1}{36}}\)

\(1 + \frac{r}{12} = 1.00731451758\)

\(\frac{r}{12} = 0.00731451758\)

r = 12 x 0.00731451758

r = 0.0878.

He must invest his money at a rate of 8.78% a year.

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The length of 2 sides and an angle between them is given A = ½ × b × c × sin(α) If two angles and the length between them is given A = For an isosceles right triangle A = ½ × a.

If the height (i.e. the altitude) and base of an isosceles triangle are known, the area can be easily calculated. The area of the isosceles triangle is calculated by multiplying the height by the base and dividing by two. As a result, an isosceles triangle has two equal sides and two equal angles. The name is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.

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The bearing angle exists 53.49°.

A bearing of 36° corresponds to the corresponding angle of

θ = 90 -36 = 54°

The (x, y) values for the position of the ship after achieving its first heading exist:

\(x_1\) = 12.1 Cos 54° = 7.11 m

\(y_1\) = 12.1 Sin 54° = 9.78 m

Our second displacement exists a simple 4.6 mi due east, that exists, the positive x-direction. The components exist therefore

\(x_2\) = 6.1 mi

\(y_2\) = 0 mi

To find the total displacement from the port, we'll add these two vectors' components and use the distance formula:

Δx \(= x_1+x_2\)

= 7.11 mi + 6.1 mi = 13.21 mi

Δy \(=y_1+y_2\)

= 9.78 mi + 0 mi = 9.78 mi

\($r=\sqrt{(x_{total})^2+(y_{total})^2}\)

\(=\sqrt{(13.21mi)^2+(9.78mi)^2}\)

= 16.43 mi

The direction of the displacement vector exists given by

tan θ = Δy/Δx

θ = arc tan (Δy/Δx)

= arc tan (9.78/13.21)

= 36.51°

The question requested for the bearing angle, which exists just this angle subtracted from 90°:

90° - 36.51° = 53.49°.

Therefore, the bearing angle exists 53.49°.

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The probability that the random sample of 100 male students has a mean gpa greater than 3. 42 is 0.9452.

A statistic known as the standard deviation is used to describe how volatile or dispersed a group of numerical values is. While a big standard deviation denotes that the values are scattered across a wider range, a low standard deviation indicates that the values tend to be close to the set mean.

From the given information, a scores random sample of 100 male students is selected and the GPA for each student is calculated which follows approximately normal with a mean of 3.5 and standard deviation of 0.5. That is,

µ = 3. 5 and σ = 0. 5

and the random sample of 100 male students has a mean GPA 3.42 is considered.

The z-score value is,

Z=( 3.42-3.5)/ (0.5/√100)

Z= -0.08/0.05

Z=-1.6

The value of z-score is obtained by taking the difference of x and µ. Then the resulting value is divided with the standard deviation by sample size.

The probability that the random sample of 100 male students has a mean GPA greater than 3.42 is obtained below:

The required probability is,

P(X>3.42)=P(z>-1.6)

= 1- P(Z≤-1.6)

From the “standard normal table”, the area to the left of Z=-1.6 is 0.0548.

P(X>3.42)= 1- P(Z≤-1.6)

=1-0.0548

=0.9452

The probability that the random sample of 100 male students has a mean GPA greater than 3.42 is 0.9452.

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Answer:

4x+x=40

5x+40

x=8

8, 32

Step-by-step explanation:

Answer:

8 and 32 are the numbers

Step-by-step explanation:

4x + x = 40

4x + x= 5x

5x + 40

40/5= 8

x= 8

and

40-8= 32

x= 32

The equation of an ellipse is  $80x^2 + 160x + 591 = 0$. with a slope of $2

In the given equation $9x^2 + 16y^2 = 144$,

The coefficients of $x^2$ and $y^2$ are different, indicating that the ellipse is not a perfect circle.

If the line passing through the points $(0,5)$ and $(1,7)$.We can determine the slope by plugging the points

Slope = (y₂ -y₁)/(x₂-x₁)

Slope = (7-5)/1-0)

Slope = 2/1 = $2

Using the slope intercept form we determine the equation as .

$y = 2x + 5$.

By way of substitution into  the equation of the line into the equation of the ellipse, we have

$9x^2 + 16(2x + 5)^2 = 144$.

Expand to get

$80x^2 + 160x + 591 = 0$.

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Answer:

\(1. \: \: \: 2x = 5 \\ x = \frac{5}{2} \\ 2. \: \: \: \: \: \: y + 1.8 = 14.7 \\ y = 14.7 - 1.8 \\ y = 12.9 \\ 3. \: \: \: \: \: 6 = \frac{1}{2} z \\ z = 6 \times 2 \\ z = 12 \\ 4. \: \: \: \: \: 3\frac{1}{4} = \frac{1}{2} + w \\ w = \frac{1}{2} - 3 \frac{1}{4} \\ w = \frac{12 + 2}{4} \\ w = \frac{14}{4} = \frac{7}{2} \\ please \: mark \: brainliest\)

Answer:

S₃ = 37

Step-by-step explanation:

given a₁ = 16 and r = \(\frac{3}{4}\) , then

a₂ = a₁ × \(\frac{3}{4}\) = 16 × \(\frac{3}{4}\) = 12

a₃ = a₂ × \(\frac{3}{4}\) = 12 × \(\frac{3}{4}\) = 9

then

S₃ = a₁ + a₂ + a₃ = 16 + 12 + 9 = 37

Answer: D

Step-by-step explanation:

Answer: 9/6 and 6/4 are equivalent

Step-by-step explanation:

If you simply 9/6, you get 1 3/6

Simplify 6/4, you get 1 2/4

3/6 and 2/4 both equal 1/2, so 9/6 and 6/4 both equal 1 1/2. Therefore, they are equivalent.

Hope this helped ;D

Answer:

There are 76 boys in the soccer league.

Step-by-step explanation:

You can set up this equation:

Turn 40% into 0.40

0.40 x 190 = ?

76 boys.

The length of the two segments, written as radicals, are:

AB = √117

PQ = √244

Remember that for a segment whose endpoints are (x₁, y₁) and (x₂, y₂), the length of the segment is:

L = √( (x₂ - x₁)² + (y₂ - y₁)²)

First, for the segment AB the endpoints are:

A = (-4,  -4)

B = (2, 5)

Then the length is:

L =  √( (-4 - 2)² + (-4 - 5)²)

L = √117

For the segment PQ the endpoints are:

P = (-6, 8)

Q = (6, -2)

The length is:

L =  √( (-6 - 6)² + (8 + 2)²)

L = √244

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Answer:

4 and 4

Step-by-step explanation:

We have 2 numbers that will be X and Y

X * Y = 16 => Y = 16 / X

We must minimize the sum, therefore:

S = X + Y

S = X + 16 / X

we derive and equal 0 and we are left with:

dS / dA = 1 - 16 / (X ^ 2) = 0

1 = 16 / X ^ 2

X ^ 2 = 16

X = 4

in the case of Y:

Y = 16/4 = 4

Therefore the numbers are 4 and 4.

The two positive numbers are 4 and 4

Let the two numbers be x and y

If the product of both numbers is 16, hence;

xy = 16 ........................... 1

If the sum will be at the minimum, hence x + y = minimum

From equation1, x = 16/ y

Substitute into the second equation to have;

16/y + y = A(y)

A(y) = 16/y + y

For the expression to be at a minimum, hence dA/dy = 0

dA/dy = -16/y² + 1

0 = -16/y² + 1

0 - 1 =  -16/y²

-y² = -16

y = √16

y = 4

Recall that xy = 16

4x= 16

x = 4

Hence the two positive numbers are 4 and 4

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If : angle A + angle C = 90 then Sin(A) = Cos(C)

and Cos(A) = Sin(C)

Thus :, Cos(C) = 24/25 & Sin(A ) = 20/29

Answer:
If sin (A)= 24/25, the value of cos(C)= 24/25

If cos(C)=20/29, the value of sin(A)= 20/29

Step-by-step explanation:
it's correct on PLATO

Answer:

one over five (m - 100)

Step-by-step explanation:

hope this helps :)

1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.

2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.

In the standard producer theory, a producer minimizes costs for a given level of output.

This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).

The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).

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