please help, i will give brainilest.

Please Help, I Will Give Brainilest.

Answers

Answer 1

Answer:

-36

Step-by-step explanation:

Answer 2

Answer:

i think x = 21

Step-by-step explanation:


Related Questions

The sixth grade art students are making a mosaic using tiles in the shape of triangles.Each tile Hans leg measures of 7cm and 4cm. If there are 84 tiles in the mosaic,what I sent the area of the mosaic

Answers

Answer:

1,176 square centimeters

Step-by-step explanation:

The computation of the area of the mosaic is  shown below:

As we know that

The Area of the triangle is

= 1 ÷ 2 × base × height

= 1 ÷ 2 × 7 × 4

= 14

Now 1 tile would be 14 square centimeters

And, there are 84 tiles in the mosaic

So, the total area is

= 84 × 14

= 1,176 square centimeters

Select all that apply. Which numbers are not perfect squares? 36 14 20 16 25 18 24

Answers

Answer:

20, 18, 14, and 24 are all not perfect squares

Step-by-step explanation:

how do you determine if a relation is a function ​

Answers

Answer:

Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.

Step-by-step explanation:

Please answer if your know

Answers

Answer:

52 pounds

Step-by-step explanation:

52 pounds

I’m not sure how to do this someone explain please

Answers

Pictures listed in order... from A-C

Del enunciado: " De cada 2 conejos, hay 5 gallinas" ¿cuál es la razón entre gallinas y total de animales? *

Answers

Answer:

La razón entre el número de gallinas y el total de animales es: [tex]\frac{5}{7}[/tex]

Step-by-step explanation:

La razón es una comparación entre dos magnitudes comparables.

En otras palabras, la razón es el cociente entre dos números o dos cantidades comparables entre sí, expresado como fracción.

En este caso, la cantidad total de animales es la suma de la cantidad de conejos y la cantidad de gallinas:

2 conejos + 5 gallinas= 7 animales

Entonces la razón entre el número de gallinas y el total de animales es: [tex]\frac{5}{7}[/tex]

Please just give me the answer

Answers

9514 1404 393

Answer:

  8

Step-by-step explanation:

The Pythagorean theorem tells you of the relation ...

  x² + 6² = 10² . . . . . . . . . squares of sides total to the square of hypotenuse

  x² = 100 -36 = 64 . . . . . subtract 6²

  x = √64 = 8 . . . . . . . . . . square root

The length of side x is 8 units.

Diane has $334 in her checking account. She writes a check for $112, makes a deposit of $100, and then writes another check for $98. Find the amount left in her account.
Select one:
a. $444
b. $214
c. $224
d. $86

Answers

Answer:

334 - 112 + 100 - 98

Step-by-step explanation:

Tell whether the ordered pair is of liner equations (5,-6) 6x+3y=12 4x+y=14

Answers

Answer:

The ordered pair is one of the solution to the system of equations. See below.

Step-by-step explanation:

To tell if the ordered pair is the solution to the system of equations or not, we can do by substituting the ordered pair in both equations.

(x, y) = (5,-6)

Substitute x = 5 and y = -6 in both equations.

First Equation

6x+3y=12

6(5)+3(-6)=12

30-18=12

12=12

Second Equation

4x+y=14

4(5)-6=14

20-6=14

14=14

Because both equations have same sides which mean that both equations are true for (5,-6). Therefore (5,-6) is part of the equations.

6. Brandon and Charlotte Snifflesworth are visiting three of Americas top tourist attractions. The Snifflesworths

live close to Disney World in Orlando, Florida. They decided to start their trip at Disney World before traveling to

San Francisco, California to see the Golden Gate Bridge and then to Minneapolis, Minnesota to go shopping at the

Mall of America. The bearing from Disney to the Golden Gate Bridge is North 65° West. The bearing from the

Golden Gate Bridge to the Mall of America is North 80° East. The bearing from Disney to the Mall of America is

North 30° West and the distance traveled is 1,320 miles. Find all missing interior angles and distances created from

their triangular trip to America's top tourist attractions. Also find the bearing from the Mall of America to

Disneyland.

Answers

Answer:

The distance from Disney to the Golden Gate Bridge is 2,162.56 miles

The distance from Mall of America to The Golden Gate Bridge  is 1,320 miles

The interior angle at The Golden Gate Bridge is 35°

The interior angle at Mall of America is 110°

The interior angle at Disney is 35°

The direction from Mall of America to Disney is South 30° East

Step-by-step explanation:

The bearing from Disney to the Golden Gate Bridge = North 65° West

The bearing from the Golden Gate Bridge to the Mall of America = North 80° East

The bearing from Disney to the Mall of America = North 30° West

The distance from Disney to the Mall of America = 1,320 miles

Let 'A', 'B', and 'C' represent the interior angles at Disney, The Golden Gate bridge and Mall of America respectively

From the drawing of the triangular trip, we find that the interior angle at C = The sum angles complementary to the bearings at B and at C

Therefore, the interior angle at C = (90° - 65°) + (90° - 80°) = 35°

The interior angle at B = The bearing of C from B - The bearing of A from B

∴ The interior angle at B = 65° - 30° = 35°

B = 35°

∠C = 35° and ∠B = 35°, therefore, the triangle is an isosceles triangle

The interior angle at A = 180° - (∠B + ∠A) = 180° - (35° + 35°) =110°

CA = AB = 1.320

By sine rule, a = sin(110) × 1320/sin(35) ≈ 2,162.56  miles

a = CB = 2,162.56 miles

Therefore, we have;

The distance from Disney to the Golden Gate Bridge = 2,162.56 miles

The distance from Mall of America to The Golden Gate Bridge  = 1,320 miles

The interior angle at The Golden Gate Bridge = 35°

The interior angle at Mall of America = 110°

The interior angle at Disney = 35°

The magnitude of the bearing of Mall of America to Disney = The magnitude of the alternate angle to the bearing of Disney to Mall of America = 30°

∴ The direction from Mall of America to Disney = South 30° East

Holly Krech is planning for her retirement, so she is setting up a payout annuity with her bank. She wishes to receive a payout of $1,800 per month for twenty years. She must deposit $218,437.048 and the total amount that Holly will receive from her payout annuity will be $432,000.

A. How large a monthly payment must Holly Krech make if she saves for her payout annuity with an ordinary annuity, which she sets up thirty years before her retirement?

B. how large a monthly payment must she make if she sets the ordinary annuity up twenty years before her retirement?

Answers

A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.

B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.

What is the monthly payment required for an ordinary annuity set up 30 years before retirement?

To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.

How much must be paid monthly for an ordinary annuity set up 20 years before retirement?

For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.

It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.

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) Which relation is a function?
A) y2- x = 8
B) y2 + 3xy = 9y
C) y2 + x = 8x - 8
D) y =3/y- x2

Answers

Answer:

It is A

Step-by-step explanation:

If the y2 get subtracted by the 8 then itll be 8

solve the system of differential equations. = 2x 3y 1 = -x - 2y 4

Answers

The given system of differential equations is:

dx/dt = 2x + 3y

dy/dt = -x - 2y + 4

To solve this system, we can use various methods such as substitution, elimination, or matrix methods. Let's use the matrix method.

First, we can rewrite the system in matrix form:

d/dt [x y] = [2 3] [x] + [1]

[-1 -2] [y] + [4]

Next, we define A as the coefficient matrix [2 3; -1 -2], X as the column matrix [x; y], and B as the column matrix [1; 4]. The system can now be written as:

dX/dt = AX + B

To find the solution, we can calculate the eigenvalues and eigenvectors of matrix A. From the eigenvalues, we determine the corresponding eigenvectors and use them to construct the general solution. However, without the specific values of matrix A, it is not possible to provide the exact solution.

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The distance between bases on a baseball field is 27.43 meters. Joe has jogged from one base to the next 4.5 times. How far has he jogged?
a. 12.48 meters
b. 40.72 meters
c. 123.43 meters
d. 123.45 meters

Answers

Number of meters Joe jogged is 123.43 meters. Therefore, the correct answer is option C.

Given that, the distance between bases on a baseball field is 27.43 meters.

Joe has jogged from one base to the next 4.5 times.

Number of meters Joe jogged = Distance between bases on a baseball field × Number of times Joe jogged

= 27.43 × 4.5

= 123.43 meters

Therefore, the correct answer is option C.

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At a particular restaurant, each mini hotdog has 100 calories and each slider has 200 calories. A combination meal with mini hotdogs and sliders is shown to have 1200 total calories and 4 times as many mini hotdogs as there are sliders. Graphically solve a system of equations in order to determine the number of mini hotdogs in the combination meal, x,x, and the number of sliders in the combination meal, yy.

Answers

Answer:

The number of sliders is 2 and the number of hot dogs is 8.

Step-by-step explanation:

Since at a particular restaurant, each mini hotdog has 100 calories and each slider has 200 calories, and a combination meal with mini hotdogs and sliders is shown to have 1200 total calories and 4 times as many mini hotdogs as there are sliders, in order to determine the number of mini hotdogs in the combination meal, X, and the number of sliders in the combination meal, Y, the following calculation must be performed:

2X + Y = 1200

800 + 400 = 1200

800/100 = 8

400/200 = 2

Thus, the number of sliders is 2 and the number of hot dogs is 8.

HW: using trigonometric identities, show that the solution of the damped forced oscilla from can be written as: (24) Xlt)=12 Fo/m Sin (wo-w)t sin (wotw)t 7 Wo² - w² 2 2 Hint: ure the identifies for addition and Substraction of angles.

Answers

Hence, the required equation is `(24) Xlt)=12 Fo/m Sin (wo-w)t sin (wotw)t 7 Wo² - w² 2 2`.

Given damped forced oscillation equation is,`m d²x/dt² + c dx/dt + kx = Fo sin(wt)`Using trigonometric identities, we can write solution for the given damped forced oscillation equation as,X(t) = Acos(wt + Φ) + Xpwhere Xp = (Fo/k) sin(wt - δ)Let's substitute X(t) in the given equation to get the required equation.```
X(t) = Acos(wt + Φ) + Xp
=> dX(t)/dt = -Awsin(wt + Φ) + (Fo/k)wcos(wt - δ)
=> d²X(t)/dt² = -Aw²cos(wt + Φ) - (Fo/k)w²sin(wt - δ)


```Now, substitute these values in the given damped forced oscillation equation.`md²X(t)/dt² + cdX(t)/dt + kX(t) = Fo sin(wt)`⇒ `m(-Aw²cos(wt + Φ) - (Fo/k)w²sin(wt - δ)) + c(-Awsin(wt + Φ) + (Fo/k)wcos(wt - δ)) + k(Acos(wt + Φ) + (Fo/k)sin(wt - δ)) = Fo sin(wt)`Grouping the terms of sines and cosines, we get⇒ `{-Aw²mcos(wt + Φ) + Awcsin(wt + Φ) + (Fo/k)w²sin(δ) + kAcos(wt + Φ) + (Fo/k)wcos(δ)} = Fo sin(wt) - c(Fo/k)wcos(wt - δ)`Let's solve these equations for `δ` and `A`.```
-Aw²mcos(wt + Φ) + Awcsin(wt + Φ) + kAcos(wt + Φ) = 0      .....................(1)
(Fo/k)w²sin(δ) + (Fo/k)wcos(δ) = Fo sin(wt) - c(Fo/k)wcos(wt - δ)  .....(2)
```Squaring and adding both equations, we get,`(Aw)²m + kA² = (Fo/k)²`or `A = Fo/(k² - mω²)^(1/2)`From equation (1), we have,`(Aw)²m + kA² = 0`or `δ = tan⁻¹(Aw/k)`Substitute values of A and δ in equation (2), we get,`Xp = (Fo/k) sin(wt - δ) = Fo/(k² - mω²)^(1/2) sin(wt - tan⁻¹(Aw/k))`Therefore, solution for the given damped forced oscillation equation is,`X(t) = Acos(wt + Φ) + Xp`= `12 Fo/m Sin (wo-w)t sin (wotw)t / (wo² - w²)²`

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Will mark brainliest for the **CORRECT** answer!

Answers

Answer:

4x + 12x = 320

16x = 320

x = 20

Step-by-step explanation:

This is because the diagram shows 4x + 12x and the total being, 320.

4x + 12x = 16x

and 320/16 = 20

so x = 20

hope this helped :)

If y varies inversely with x, and y= 12 when x = 16, what is the constant of variation k?

Answers

Answer:

k = 192

Step-by-step explanation:

Given that,

y varies inversely with x. It can be written as :

[tex]y=\dfrac{k}{x}[/tex]

Where

k is the constant of variation

Put x = 16 and y = 12 in the above formula.

[tex]k=yx\\\\k=16\times 12\\\\k=192[/tex]

So, the value of the constant of variation is equal to 192.

A submarine began at sea level and descended toward the ocean floor at a rate of −0.015 km per minute. Its final depth was −0.3675 km. Estimate how long it took the submarine to reach its final depth by rounding the dividend and divisor to the nearest hundredth.



Estimate of the quotient:

Answers

Answer:

Around 24.5 minutes

Step-by-step explanation:

Answer:

Estimate of the dividend: -0.37

Estimate of the divisor: -0.02

Estimate of the quotient: 18.5

Step-by-step explanation:

I did the test and it was right and I dubble checked it to

Will mark brainliest !!!

Answers

Answer:

27

Step-by-step explanation:

Length * width * height to find the volume so it is 3*3*3=27

I need some brainliest :)
3 by 3 by 3 means that the volume is 27 cubic centimeters
3 cm for width, 3 cm for height, 3 cm for length

help please! :)) ill do whatever it is that gets you guys points!!! please help!

Answers

Answer:

7.5 in.

Step-by-step explanation:

Answer:

7.5 in

Step-by-step explanation:

using pythagorean theorem

Hyp²= Opp² + Adj ²

where 9= hyp

5= adj

and x = opp

9²=x²+5²

81=x² + 25

collect like terms

81-25=X²

56=X²

since we're looking for X and not X²

we square root both sides

√x²=√56

x=7.483 approximately 7.5

Find the general solution of the following using determent coefficients. y" - 4y' + 5y = 16 cos (1)

Answers

The general solution of the differential equation y" - 4y' + 5y = 16 cos (1) using determinant coefficients is given by y =

yh + yp = c1 e^(2x) cos(x) + c2 e^(2x) sin(x) + 16/((5^2 + 1)√26) cos(1).

In order to find the solution using determinant coefficients, first, we solve the homogeneous equation y" - 4y' + 5y = 0. The characteristic equation is given by r^2 - 4r + 5 = 0, which has roots r = 2 ± i. Therefore, the general solution of the homogeneous equation is yh = c1 e^(2x) cos(x) + c2 e^(2x) sin(x).

Next, we find the particular solution of the non-homogeneous equation using the method of undetermined coefficients. Since the forcing function is cos(1), we assume the particular solution to be of the form yp = a cos(1). Substituting this into the differential equation, we get -a + 4a + 5a cos(1) = 0, which implies a = 16/(5^2 + 1). Hence, the particular solution is yp = 16/((5^2 + 1)√26) cos(1).

Therefore, the general solution of the given differential equation is y = yh + yp = c1 e^(2x) cos(x) + c2 e^(2x) sin(x) + 16/((5^2 + 1)√26) cos(1).

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Which table represents a quadratic function? No downloadable links or files, I will mark brainliest.

It is not the 3rd option.

Answers

Answer:

where is the table lol

You are charged $16. 05 after tax for a meal. Assume sales tax is 7%, what was the menu price for the meal

Answers

Answer:

$15

Step-by-step explanation:

107% is the price of $16.05

so, 107% = $16.05

Divide both sides by 107:

1% = $0.15

Multiply both sides by 100:

100% = $15.00

A cylinder containing water is fitted with a piston restrained by an external force that is proportional to cylinder volume squared (P = cvc is constant). Initial conditions are 120°C, 90% quality and a volume of 200 L. A valve on the cylinder is opened and additional water flows into the cylinder until the mass inside has doubled. If at this point the pressure is 300 kPa. What is the final temperature, show your solution

Answers

The final temperature of the cylinder is -148.68 °C .

To find the final temperature

Let the final temperature be T₂.

Let the final volume be V₂.

The mass of water inside the cylinder at initial conditions, m₁ = ρV₁

On opening the valve, the water enters the cylinder until the mass doubles. So the mass of water inside the cylinder after the valve is opened, m₂ = 2ρV₁

The pressure and mass are related by the equation, PV = mRT

On simplifying the equation we get,

P = (m/ρ) * RTSo Pρ = mRT ………… (1)

From equation (1),

P₁ρ₁ = m₁R T₁

Substituting the values in equation (1) for final conditions,

P₂ρ = m₂R T₂

We need to find T₂

So, T₂ = (P₂ρ/m₂) * R = (300000 N/m² * 1000 kg/m³)/[2 * 1000 kg] * 8.314 J/(mol K)

= 124.47 K or -148.68 °C

So, -148.68 °C is the final temperature approximately.

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A polygon has the following coordinates: A(-5,2), B(-2,-2), C(2,3), D(6,3), E(6,-5), F(-5,-5). Find the length of EF.
A.
12 units
B.
9 units
C.
11 units
D.
10 units

Answers

Answer:

C

Step-by-step explanation:

got it right on edg

How many solutions does the system have?
You can use the interactive graph below to find the answer.
\begin{cases} x+2y=2 \\\\ 2x+4y=-8 \end{cases}









x+2y=2
2x+4y=−8


Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Exactly one solution

(Choice B)
B
No solutions

(Choice C)
C
Infinitely many solutions







How many solutions does the system have? ⎧


x+2y=2
2x+4y=−8

Answers

Answer:

No solution

Step-by-step explanation:

The easiest approach here is to divide the second equation by 2:  x + 2y = -4.

Comparing the first equation with this result, we see that the the two lines never intersect, and thus that there is no solution.

in HIJ the measure of J=90 feet, JH=81 feet, HI=9 feet. Find the measure of I to the nearest degree. (Please answer how you got this answer)​

Answers

Answer:

63°

Step-by-step explanation:

1) Examing that right triangle, we can find the value of the angle x starting by using a trig ratio and then its reciprocal. Like this:

sin( x ) = 81/91

x = arcsin (81/91)

x = 62.88 = 63

Notice we have the opposite leg and the hypotenuse, so we started with the sine. And to find the value of the angle the arcsin.

2) So, that angle x is 63° (rounding off to the nearest degree)

5 x 100 = ? for easy points

Answers

Answer:

500! Just multiply 5 x 1 then add the remaining 2 zeros :)

Step-by-step explanation:

Thank you!

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

[tex]5 \times 100 \\ = 500[/tex]

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

You know this??????????????

Answers

Answer:

y=x+15

Step-by-step explanation:

Other Questions
i need to know the answer and the work shown how i got it pleasee help!!! 3. ELLIPSECENTER = (-1,2)MAJOR AUIS IS HORIZONTALAND HAS LENGTH OF 10PASSS THROUGH (-1,5) 4. HYPERBOLAVERTICES : (-2,-4) (-2,6)FOU:(-2,-5)(-2,7) Consider the following two period sequence economy. There are two dates, t= 0,1, two states of nature, s = a, , at t=1, and two physically distinguishable goods, 1 = 1,2, in each state. Importantly, neither good is available for consumption at t= = 0. So a typical element of the commodity space is (x1a, X2a, X18, X2B), and spot market prices are given by a vector p = (Pla, P2a, P18, P2B). Prices can be normalised in each state, so set la, Pla = P18 = 1. = There is one real asset with price q and with the same payoff vector (1,0) in each of the two states. (a) Denote an individual's endowment by (wla, w2a,W18, w2B). What is the individual's Arrow-Radner budget set at the prices (p, q)? [20%] (b) Argue that in any AR equilibrium, each individual holds zero units of the asset. [30%] (c) Use the property identified in (b) to calculate the demand function of an individual whose endowment is (0,2,2,0) and whose preferences are represented by the utility function u(x) = Xla + e min{218, 228}, where e E (0,1). [50%] = Two students are sitting 1.50 m apart. One student has a mass of 70.0 kg andthe other has a mass of 52.0 kg. What is the gravitational force between them?A. 8.01 x 10-9B. 1.08 x 10-2C. 2.28 x 10-8 Which sentence should end with a question mark?O 1. Diane went to the doorO 2. How did Shane do that3. We doubt if it's true4. We'll wait until later explain Grandins quote that "In special education, theres too much emphasis placed on the deficit and not enough on the strength"? A 15-g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by m(t) = 15e0.055t, where m(t) is measured in grams. 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In Document A the Polish immigrant says, But my friends are polish people, I must live with them. I work in the shoe shop with polish people, I stay all the time with them at home, in the shop, anywhere. Identify the subject of this quote.2b. Identify why immigrants lived in these type of areas when they first arrived in the United States.3a. According to Document A, what does the Polish man feel immigrants must do in order to be a good american citizen?3b. Identify a specific reason from Document A why this has been difficult for him.(continues on next page)Answer the following based on the cartoons and your knowledge of social studies. Complete sentences are not required.Cartoon AThe title of this cartoon is Looking Backward. They would closeto the new - comer the bridge that carried their fathers over. Behind each man stands the shadow of his own immigrant ancestor.Cartoon B4a. What belief is the subject of both cartoons? 4b. 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See the following information: BAHEX Limited Consolidated Statement of Financial Position as at December 31 Non-Current Assets 2021 2020 Land 122 850 35 000 Equipment 353 150 327 950 Current Assets Cash 47 950 54 600 Accounts receivables 145 250 150 850 Interest receivables 2100 3 150 Inventories 130 050 114 650 Investments 205 950 207 700 1 007 300 893 900 Current Liabilities Accounts payables 57 400 62 650 Salary payable 29 400 28 350 Other accrued liabilities 85 400 78 750 Long-Term Liabilities Mortgages 141 350 225 550 Stockholders' Equity Preferred stock 250 000 200 000 Common stock 260 000 230 000 Retained earnings 183 750 68 600 1007 300 893 900 Consolidated income statement for the period is as follows: BAHEX Limited Consolidated Income Statement for Year Ended 2021 December 31 Sales Revenue Cost of Sales 1 533 000 718 200 814 800 Gross Profit Expenses: Salary Expenses 267 400 Depreciation Expense - Equipment Other Operating Expenses 53 550 173 950 494 900 319 900 Operating Income Other Revenue and Expenses: Gain on Sale of Land 4 000 (86 100) Interest Expense Interest Revenue 40 950 (41 150) Income before Tax Income Tax Expense 278 750 59 150 219 600 Net Income Additional Information: i BAHEX paid dividends of $104 450. ii. A parcel of land was sold for $34 000, the book value of which was $30 000. iii. The corporation issued both preferred and common stock during the year Required: The Consolidated Statement of Cash Flows of BAHEX Limited for year ended 2021 December 31. The question is down below, please help me!! I will rate the question 5 stars and give a heart if answered Craigmont uses the allowance method to account for uncollectible accounts. Its year-end unadjusted trial balance shows Accounts Receivable of $130,500, allowance for doubtful accounts of $925 (credit) and sales of $1,055,000. If uncollectible accounts are estimated to be 7% of accounts receivable, what is the amount of the bad debts expense adjusting entry ........help me plz plzzzzzzzz Having evaluated its inventory management system your company is considering changing its terms of trade to encourage more potential customers to do business with your company, rather than your competitors. Until now its terms of trade have been strictly cash-only. You have been asked to look at the value of offering terms of 1/20 Net 60 EOM. Your company currently turns over 5,200 units of inventory per annum at a selling price of $1,000 per unit and variable operating costs of $500 per unit. Your research indicates that this change in credit terms will likely result in a 20% increase in sales and that all customers will take the extended credit terms rather than pay early, resulting in an average collection period of 60 days. Unfortunately the resultant increase in account receivables may also result in bad-debts equal to 10% of the annual average account receivables balance. Your company's opportunity cost is 20%.