Find 25.5% of 237. Round to the nearest tenth.​

Part I: The bookkeeper's gross income last year is $9200.61.

Part II: The sum of the bookkeeper's standard deduction and exemption is $9350.

Part III: The bookkeeper’s taxable income last year is -$149.39.

Part I

To find the bookkeeper's gross income, we need to add up the figures in box 1 of both W-2 forms:

Gross income = $2612.98 + $6587.63 = $9200.61

Part II

To find the sum of the bookkeeper's standard deduction and exemption, we simply add them together:

Standard deduction + Exemption = $5700 + $3650 = $9350

Part III

To find the bookkeeper's taxable income, we need to subtract the sum of her exemption and standard deduction from her gross income:

Taxable income = Gross income - (Standard deduction + Exemption)

Taxable income = $9200.61 - $9350

Taxable income = -$149.39

Since the result is negative, the bookkeeper has a tax loss for the year, meaning that she doesn't owe any federal income tax for that year. However, she may be able to carry the loss forward to future tax years to reduce her tax liability in those years.

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Answer:

53/54 = 106/108

Step-by-step explanation:

You can find the answer because 53/54 * 2/2 = 106/108

2/2 = 1 - right? When you multiply any number by one, it stays the same. That's how you can tell, 53/54 = 106/108.

Answer:

No it cant

Step-by-step explanation:

it would have to be 54/54 to be equal to 1.

Answer: Beth Blauer

Step-by-step explanation:

Answer: It really dosen't matter if its repeating. If it's repeating just put a line ABOVE THE REPEATING PART. I will explain a little bit so you know what I mean.

Step-by-step explanation: So say you divide 2 by 3 your going to get 0.66666666666. You don't have to put all those 6's. All you have to do is put 0.66 with a line above the two sixes. This will indicate you have a repeating decimal. And this works with any repeating number!

I hope this helps!!!!

Answer:

0.05 kilometer is the answer

Step-by-step explanation:

hope this answer may help you

Given the following question:

Radius = 4

Height = 14

Formula for volume of a cylinder:

Answer:

Step-by-step explanation:

Square pyramid (since the base is a square)

Area base \(= 8^2=64mm^2\)              (area of square)

Area each side \(= \frac{1}{2} base\)×\(height\)    (area triangle formula)

                          = \(\frac{1}{2}\)×\(8\)×\(10\)

                          = \(40 mm^2\)

Total area \(= 4triangles + square base\)

                 \(=4\)×\(40+64\)

                 \(=224 mm^2\)

Answer:

I think that the answer is - 8.-1=8

Answer:

A: Yes, As more gallons are used the longer the shower is

B: 5 minutes, 20 minutes

C: (30,10), someone who uses 30 gallons of water will be in the shower for 10 minutes

D: I'm going to assume that your teacher wants you to find the slope in which I will use the slope formula and the points (0,0) and (30,10)

(10-0)/(30-0)=1/3=.33333 which means that for every gallon of water used you will be in the shower for .33333 minutes longer

Step-by-step explanation:

A: Yes, As more gallons are used the longer the shower is

B: 5 minutes, 20 minutes

C: (30,10), someone who uses 30 gallons of water will be in the shower for 10 minutes

D: I'm going to assume that your teacher wants you to find the slope in which I will use the slope formula and the points (0,0) and (30,10)

(10-0)/(30-0)=1/3=.33333 which means that for every gallon of water used you will be in the shower for .33333 minutes longer

Answer: 21

Step-by-step explanation:  im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah

Answer:

21

Step-by-step explanation:

I did the test

Hope this helps :)

Larissa: y = 250 - 25x

Chucho: y = 30 +30x

4 weeks

Step-by-step explanation: It says it in the problem, and you can see they cross at 4 weeks

Answer:

Larissa: y = 250 - 25x

Chucho: y = 30 +30x

4 weeks

Step-by-step explanation:

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:

3,21 is

2,21 is not a proper ordered pair.

Step-by-step explanation:

Remark

It's not a solution

You can either use the x value to find out the proper y value

or

You can use the y value to find out the proper x value

Proper y value

Let x = 2

y = 7*2

y = 14

So the proper y value given that x = 2 is 14.

Proper x value

Let y = 21

21 = 7x                    Divide both sides by 7

21/7 = 7x/7

3 = x

But (2,21) is not a solution. (3,21) is.

Answer:

Perimeter = 588ft (given), Width of yard = 73ft

Step-by-step explanation:

The distance around a yard is the perimeter of the yard, so we know that the perimeter of the yard is 588ft. In order to find the length and width, we need to make an equation so we can solve for one of them. Since the length is 2 more than 3 times the width, we can represent it as 3w+2, where w is the width. This ensures we only have one unknown to solve for as we only have one equation. Since perimeter is the distance around the yard, it is calculated by adding the length of the 2 widths to the length of the 2 lengths, hence 588ft = 2w + 2l, the l we replace though as we can only solve for one unknown, so now we have:

2w + 2(3w+2) = 588

Now we can start solving for the width!

Firstly we need to expand the bracket which we do by multiplying the 2 by all the contents inside the bracket, so:

2w + 2*3w + 2*2 = 588

which equals:

2w +6w +4 = 588

Now we combine terms and move the 4 to the other side so we can solve for w:

8w + 4 -4 = 588 - 4

8w = 584

Now we just divide both sides by 8 to get:

w=73

The width of the yard is 73ft.

Hope this helped!

You cannot use the Hypotenuse-Leg congruence theorem to prove the similarity of triangles JKM and LKM, as they are not right triangles.

The Hypotenuse-Leg congruence theorem states that if the hypotenuse and one leg of two right triangles have the same measure then these two triangles are said to be congruent to each other.

The triangles JKM and LKM are not right triangles, as they do not have an angle of 90º, hence the HL congruence theorem cannot be used to prove their similarity.

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Answer:

5.3 to the 3rd power

Step-by-step explanation:

The expression 5.3 x 5.3 x 5.3 x 5.3 can be expressed as (5.3)⁴.

To express 5.3 x 5.3 x 5.3 x 5.3 as a power, we can use the exponentiation property.

When we multiply a number by itself multiple times, we can simplify it using an exponent.

In this case, we have four instances of multiplying 5.3 by itself. So we can write it as:

5.3 x 5.3 x 5.3 x 5.3 = (5.3)⁴

The exponent 4 indicates that we are multiplying 5.3 by itself four times.

It represents the number of times the base (5.3) is multiplied by itself.

So, (5.3)⁴ means 5.3 raised to the power of 4, which is equivalent to multiplying 5.3 by itself four times.

Therefore, 5.3 x 5.3 x 5.3 x 5.3 can be expressed as (5.3)⁴.

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Answer:

\(x\approx0.39,-3.89\)

Step-by-step explanation:

\(\displaystyle 2x^2+7x=3\\2x^2+7x-3=0\\\\x=\frac{-7\pm\sqrt{7^2-4(2)(-3)}}{2(2)}\\\\x=\frac{-7\pm\sqrt{49+24}}{4}\\\\x=\frac{-7\pm\sqrt{73}}{4}\\\\x\approx0.39,-3.89\)

Answer:

its something close 5%

Step-by-step explanation:

The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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The expression that is equivalent to \(80^{(1/4}\) * x is \(80^{4/x}\)

To determine the equivalent expression to \(80^{1/4}\) * x, let's analyze each option:

\(80/4^{x}\)

This expression simplifies to \(20^{x}\), but it is not equivalent to the original expression.

Applying the power of a power rule, this expression simplifies to \(80^{x/4}\) , which is not equivalent to the original expression.

\(80/x^{4}\)

This expression can be simplified as \(80^{4 x^{4} }\) , which is not equivalent to the original expression.

Therefore, the expression that is option d.

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Answer:

y = 1/10x

Step-by-step explanation:

We see that it intersects points (60,6), (120,12), and (0,0)

y = mx + b

m = 6/60 = 1/10

b = 0

y = 1/10x

Answer:

10b+10a

Step-by-step explanation:

Answer:

The answer is 10a

Step-by-step explanation:

(1)(0b+10a)

=(1)(0b)+(1)(10a)

=0+10a

=10a

Hope this helps :)

Answer:

Step-by-step explanation:

The slope of a line is given by the following formula:

Where (x1,y1) and (x2,y2) are the coordinates of the given points. Replace the given values and solve for m:

The slope of the line that contains the two given points is -2.

Answer:

\( \frac{1}{x {}^{2} y {}^{4} }\)

Step-by-step explanation:

\( \frac{x {}^{ - 2} }{y {}^{4} } = x {}^{ - 2} \times \frac{1}{y {}^{4} } \)

\(x {}^{ - 2} = \frac{1}{x {}^{2} } \)

\(therefore \: \frac{x {}^{ - 2} }{y {}^{4} } = \frac{1}{x {}^{2} } \times \frac{1}{y {}^{4} } \\ = \frac{1}{x {}^{2}y {}^{4} }\)

Answer:

2.5 goals/game

Step-by-step explanation:

In order to find the mean we need to find the total of numbers and then divide them by the amount we have.

0,0,1,1,3,3,3,4,5,5

If you add these numbers together you get 25, if you divide 25 by ten then you end up with 2.5

Answer:

I really don't know but I'm trying to hurry for my quiz lol sorry

Answer:

cxcxcxcxcxgergddgg

Step-by-step explanation:

The calculation of this can be done by first determining the future value of the monthly payments of $327.50

The future value of an annuity can be determined using a financial calculator, mathematical formula, or spreadsheet software. The future value of an annuity is calculated by multiplying the periodic payment amount by the future value factor,

which is based on the number of payments and the interest rate.For example, suppose we want to know the future value of a $500 end-of-month deposit into an annuity that pays 6% interest compounded monthly for five years.

The future value factor for 60 periods at 0.5 percent per month is 80.9747, which can be multiplied by the monthly deposit amount to find the future value of the annuity.500 × 80.9747 = 40,487.35

This means that a $500 end-of-month deposit into an annuity paying 6% interest compounded monthly for five years will have a future value of $40,487.35.

Therefore, to accumulate a $20,000 down payment for a home in five years, you would need to deposit $327.50 per month into the annuity.

 for 60 months using the formula and then solving for the monthly payment amount where FV = $20,000 and n = 60, r = 0.5%.FV = PMT [(1 + r)n – 1] / r$20,000 = PMT [(1 + 0.005)60 – 1] / 0.005PMT = $327.50 (rounded to the nearest cent).

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