a parallelogram has sides of lengths 7 and 5, and one angle is 35°. find the lengths of the diagonals. (round your answers to two decimal places. enter your answers as a comma-separated list.)

Answers

Answer 1

The lengths of the diagonals of the parallelogram are approximately 8.07 and 11.59

To find the lengths of the diagonals of the parallelogram, we can use the properties of a parallelogram.

In a parallelogram, the opposite sides are equal in length, and the opposite angles are congruent. We are given that the sides of the parallelogram have lengths 7 and 5, and one angle is 35°.

Let's label the sides and angles of the parallelogram. The side lengths are a = 7 and b = 5. The given angle is A = 35°.

To find the lengths of the diagonals, we can use the law of cosines. The law of cosines states that for a triangle with sides a, b, and c, and angle C opposite side c, we have the following formula:

c^2 = a^2 + b^2 - 2ab * cos(C)

In a parallelogram, the diagonals bisect each other, so the lengths of the diagonals are equal. Let's label the length of each diagonal as d.

Using the law of cosines, we can set up an equation for each diagonal:

d^2 = 7^2 + 5^2 - 2 * 7 * 5 * cos(35°)

d^2 = 49 + 25 - 70 * cos(35°)

Simplifying the equation and using a calculator to evaluate cos(35°), we can find the value of d^2. Taking the square root of d^2 will give us the lengths of the diagonals.

Performing the calculations, we find that the lengths of the diagonals of the parallelogram are approximately 8.07 and 11.59 (rounded to two decimal places).

Therefore, the lengths of the diagonals are 8.07 and 11.59, respectively (in that order).

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Related Questions

Which of the following sets of points would create a rectangle when connected?
A.
(1,2) , (2,3) , (3,5) , (5,1)
B.
(2,1) , (3,2) , (5,3) , (1,5)
C.
(1,2) , (3,1) , (3,2) , (1,5)
D.
(1,2) , (3,2) , (3,5) , (1,5)

Answers

CORRECT ANSWER: D
Explanation: I just did the work, but the y’s on the first two match up and they match in the second two. It’s D

Factor this expression completely and then placed the factors in the proper location on the grid. Note: please factors alphabetically in the grid!

ab + 4 + a + 4b

PLEASE ANSWER, WILL MARK BRAINLYEST!

Answers

Answer:

(a + 4)(b + 1)

Step-by-step explanation:

ab + 4 + a + 4b

Rearrange the expression to find the GCF.

ab + a + 4b + 4

Now find the GCF.

a (b + 1) + 4 (b + 1)

Divide the whole thing by b+1

(a + 4)(b + 1)

If you get this question right you’ll get points 100+356-123=?????

Answers

Answer:

333 :)

Step-by-step explanation:

Dean wants to buy a scooter. He has a coupon for 20% off his purchase, and has already saved $50. If the scooter is $79, how much more money does Dean need to be able to purchase it?

Answers

he needs $13.2 bc 79*.2 is 15.8 and 79-15.8 is 63.2 and he has 50 dollars so he needs 13.2

An object completes one round of circle of radius 7m in 20 sec. find the distance travelled after 10sec.​

Answers

Answer: 7pi

Step-by-step explanation: If it completes the circumference distance (14pi) of the circle in 20 seconds, in 10 seconds it will complete half of that. or 7pi. Hope this helped!

:.the distance travelled after 10sec. =7πm

Answer:

in 20 sec distance travelled =2πr=2π×7=14πm

in 10 sec distance travelled=14πm×10/20=7πm

Use the CVP Formulas to solve the following. JBL Speakers has annual fixed costs of $2,450,000, and variable costs of $25 per unit. The selling price per unit is $90. A) What annual revenue is required to break even? BER B) What annual unit sales are required to make a $1,000,000 profit?

Answers

Using the CVP Formulas to solve the following. JBL Speakers has annual fixed costs of $2,450,000, and variable costs of $25 per unit. The selling price per unit is $90.

A) 37,692 units

B) 53,077 units

A) To calculate the annual revenue required to break even, we need to find the point where total revenue equals total costs.

Total cost (TC) = Fixed costs (FC) + Variable costs per unit (VC) * Quantity (Q)

Total revenue (TR) = Selling price per unit (SP) * Quantity (Q)

At the break-even point, total revenue equals total cost:

TR = TC

SP * Q = FC + VC * Q

Substituting the given values:

$90 * Q = $2,450,000 + $25 * Q

$90Q - $25Q = $2,450,000

$65Q = $2,450,000

Q = $2,450,000 / $65

Q ≈ 37,692.31

Therefore, approximately 37,692 units need to be sold to break even.

B) To calculate the annual unit sales required to make a $1,000,000 profit, we can use the following formula:

Profit (P) = (SP * Q) - (FC + VC * Q)

Substituting the given values and the desired profit:

$1,000,000 = ($90 * Q) - ($2,450,000 + $25 * Q)

$90Q - $25Q = $1,000,000 + $2,450,000

$65Q = $3,450,000

Q = $3,450,000 / $65

Q ≈ 53,076.92

Therefore, approximately 53,077 units need to be sold to make a $1,000,000 profit.

In conclusion, to break even, JBL Speakers needs to generate an annual revenue of approximately $2,450,000, and to make a $1,000,000 profit, they need to sell approximately 53,077 units annually.

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Find the volume of each figure. Round the answer
5 min
4 mm
18 nm
8 mm

Answers

Try 18mm that should be the answer

Perform a hypothesis test for the following sample, the significance level alpha is 5%. Sample: 3.4,2.5,4.8, 2.9,3.6,2.8, 3.3, 5.5, 3.7, 2.8,4.4,4,5.2,3,4.8 Standard deviation is sd-1.05. Test if mean is greater than 3.16 Assume normality of the data. 1 Formulate the hypothesis by entering the corresponding signs

Answers

Based on the given sample, there is sufficient evidence to conclude that the mean is greater than 3.16 at a significance level of 5%.

To perform a hypothesis test, we need to state the null hypothesis and alternative hypothesis.

We want to test if the mean is greater than 3.16.

Null hypothesis (H0): μ ≤ 3.16 (Mean is less than or equal to 3.16)

Alternative hypothesis (Ha): μ > 3.16 (Mean is greater than 3.16)

Now, we can proceed with the hypothesis test.

We'll use a one-sample t-test since we don't know the population standard deviation and our sample size is relatively small.

The sample mean (X) and sample size (n) from the given data.

X= (3.4 + 2.5 + 4.8 + 2.9 + 3.6 + 2.8 + 3.3 + 5.5 + 3.7 + 2.8 + 4.4 + 4 + 5.2 + 3 + 4.8) / 15 = 3.66

n = 15

Now calculate the test statistic (t-value).

t = (X - μ) / (sd / √n)

= (3.66 - 3.16) / (1.05 / √15)

≈ 2.26

Since our alternative hypothesis is one-tailed (μ > 3.16), we need to find the critical value for a significance level of 5% in the right tail of the t-distribution.

Using a t-table, the critical value for a one-tailed test with α = 0.05 and degrees of freedom (df) = n - 1 = 15 - 1 = 14 is 1.761.

If the test statistic is greater than the critical value, we reject the null hypothesis.

t-value (2.26) > critical value (1.761)

Since the test statistic is greater than the critical value, we reject the null hypothesis.

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A rectangle has a perimeter of 150 cm. The length is 3 cm more than twice the width. Find the length and width of the rectangle.

Answers

Answer:

Length of rectangle = 51 cm

Width of rectangle = 24 cm

Step-by-step explanation:

Given:

Perimeter of rectangle = 150 cm

Find:

Length and width of the rectangle

Computation:

Assume;

Width of rectangle = a cm

Length of rectangle = 2a + 3 cm

Perimeter of rectangle = 2[l + b]

150 = 2[(2a + 3) + a]

2[3a + 3] = 150

6a + 6 = 150

6a = 144

a = 24

Width of rectangle = 24 cm

Length of rectangle = 2a + 3 cm

Length of rectangle = 2(24) + 3 cm

Length of rectangle = 51 cm

139°
(17x + 3)
answer

Answers

Answer:

x= 8

Step-by-step explanation:

17x + 3 = 139

17x = 136

x = 8

Evaluate the triple integral. 4xy dV, where E lies under the plane z = 1 + x + y and above the region in the xy-plane bounded by the curves y = , y = 0, and x = 1

Answers

The value of the triple integral ∭E 4xy dV is 2/5. The limits of integration for x are from 0 to 1, and for y, the limits are from 0 to 1 - x, as y is bounded by the line x + y = 1.

To evaluate the triple integral ∭E 4xy dV, where E lies under the plane z = 1 + x + y and above the region in the xy-plane bounded by the curves y = 0, y = 1, and x = 1, we need to set up the integral using appropriate limits of integration.

The region in the xy-plane is a triangle bounded by the lines y = 0, y = 1, and x = 1. Therefore, the limits of integration for x are from 0 to 1, and for y, the limits are from 0 to 1 - x, as y is bounded by the line x + y = 1.

Now, let's determine the limits for z. The plane z = 1 + x + y intersects the xy-plane at z = 1, and as we move up in the positive z-direction, the plane extends infinitely. Thus, the limits for z can be taken from 1 to infinity.

Now, we can set up the triple integral:

∭E 4xy dV = ∫[0 to 1] ∫[0 to 1-x] ∫[1 to ∞] 4xy dz dy dx

The innermost integral with respect to z evaluates to z times the integrand:

∭E 4xy dV = ∫[0 to 1] ∫[0 to 1-x] [4xy(1 + x + y)] evaluated from 1 to ∞ dy dx

Simplifying further:

∭E 4xy dV = ∫[0 to 1] ∫[0 to 1-x] (4xy(1 + x + y) - 4xy(1)) dy dx

∭E 4xy dV = ∫[0 to 1] ∫[0 to 1-x] 4xy(x + y) dy dx

Now, we can integrate with respect to y:

∭E 4xy dV = ∫[0 to 1] [2xy²(x + y)] evaluated from 0 to 1-x dx

Simplifying further:

∭E 4xy dV = ∫[0 to 1] 2x(1-x)²(x + (1-x)) dx

∭E 4xy dV = ∫[0 to 1] 2x(1-x)² dx

Evaluating the integral:

∭E 4xy dV = 2/5

Therefore, the value of the triple integral ∭E 4xy dV is 2/5.

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What is the greatest common factor of the numbers
15,30 , and 75 ?

Answers

Answer:

15

Step-by-step explanation:

Prime Numbers Check

15: 5 * 3

30: 2 * 3 * 5

75: 3 * 5 * 5

Both 3 and 5 are prime numbers present in all 3 greater numbers, then you multiply them

3*5 = 15

GCF is 15

I need help plzzz

-6p + 19 > 7

Answers

Answer:

p < 2

Step-by-step explanation:

hope this is right and have a good day

a spinner has three same-sized sectors numbered 1, 3, and 5. the spinner is spun once and a coin is tossed. h represents heads, and t represents tails. what is the sample space of outcomes?

Answers

A spinner has three same-sized sectors numbered 1, 3, and 5. The spinner is spun once and a coin is tossed. H represents heads, and T represents tails.

The sample space of outcomes is given below: Sample Space of Outcomes: {1H, 1T, 3H, 3T, 5H, 5T}Explanation: In this given problem, the spinner has three same-sized sectors numbered 1, 3, and 5. It indicates that the probability of each sector is equal. The spinner is spun once and a coin is tossed, where H represents heads, and T represents tails. It means that the spinner will land on one of three sectors, and the coin will land on either heads or tails.Therefore, the sample space of outcomes is {1H, 1T, 3H, 3T, 5H, 5T}.

To determine the sample space of outcomes for this situation, we need to consider the possible combinations of the spinner's numbers (1, 3, 5) and the outcomes of the coin toss (H for heads, T for tails).

The spinner has three sectors numbered 1, 3, and 5. Therefore, there are three possible outcomes for the spinner.

The coin toss can result in two outcomes: heads (H) or tails (T).

To find the sample space, we need to consider all possible combinations of the spinner outcomes and the coin toss outcomes.

The sample space of outcomes can be listed as follows:

{1H, 1T, 3H, 3T, 5H, 5T}

Therefore, the sample space of outcomes for this situation consists of the six possible combinations: 1H, 1T, 3H, 3T, 5H, and 5T.

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Given information is that, a spinner has three same-sized sectors numbered 1, 3, and 5. The spinner is spun once and a coin is tossed. h represents heads, and t represents tails. We need to find the sample space of outcomes.

The required sample space of outcomes is {1H, 1T, 3H, 3T, 5H, 5T}.

We can use the formula for the sample space,

Sample space = Set of all possible outcomes.

The possible outcomes of the spinner are 1, 3, and 5. The possible outcomes of the coin are H and T. Therefore,

Sample space of outcomes = {1H, 1T, 3H, 3T, 5H, 5T}.

Hence, the required sample space of outcomes is {1H, 1T, 3H, 3T, 5H, 5T}.

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was 10 years and 6 months old when I moved to Mumbai. have been living in Mumbai for the past 13

years 11 months. What is my age now?​

Answers

24 years and 5 months

add 13 years to ten get 23 add 6 to 11 to get 1 year and 5 months

23 plus 1 years and 5 months = 24 years an 5months

have a nice day please mark brainliest

Express the function G in the form f o g. (There is more than one correct answer. The function is of the form y = f(g(x)). Use non-identity functions for f(x) and g(x).)
G(x) = 1/x+8
(f(x), g(x) = ([_________])

Answers

To express the function [tex]\(G\)[/tex] in the form [tex]\(f \circ g\)[/tex] , where [tex]\(y = f(g(x))\)[/tex] , we need to find suitable non-identity functions [tex]\(f(x)\)[/tex] and [tex]\(g(x)\)[/tex] that can be composed to yield [tex]\(G(x)\)[/tex].

Let's choose [tex]\(g(x) = \frac{1}{x}\)[/tex]  and [tex]\(f(x) = x + 8\)[/tex].

Now, we can express [tex]\(G\)[/tex] as  [tex]\(G(x) = f(g(x))\)[/tex] , which becomes:

[tex]\[G(x) = f(g(x)) = f\left(\frac{1}{x}\right) = \frac{1}{x} + 8\][/tex]

Therefore, the functions [tex]\(f(x)\)[/tex] and [tex]\(g(x)\)[/tex] that can be composed to yield [tex]\(G(x) = \frac{1}{x} + 8\) are \(f(x) = x + 8\)[/tex] and [tex]\(g(x) = \frac{1}{x}\)[/tex].

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Give an example to show that when two prime numbers are added, the result
may be an odd number.

Answers

Answer:

2+3=5

Step-by-step explanation:

prime numbers =2 and 3

sum =5 which is odd

The count of bacteria in a certain experiment was increasing at a rate of 2.5% per hour. if the experiment started with 1600. find the count of the bacteria at the end of 22 hours.

DONT ADD ANY LINK PLEASE I WILL REPORT AND PLEASE ANSWER CORRECTLY AND FAST I WILL MARK BRAINLIEST

Answers

The bacteria at the end of 22 hours is 2,480

at time t = 0 the capacitor in the circuit below is fully charged with qmax, and the current through the circuit is 0.

Answers

At time t = 0, the capacitor in the circuit is charged to its maximum charge, qmax, and the circuit has zero current.

At t = 0, the capacitor in the circuit is fully charged, which means it has accumulated its maximum charge, qmax. The capacitor acts as a temporary energy storage device in the circuit. When the capacitor is fully charged, it contains potential energy. The charge on the capacitor creates an electric field, which opposes the flow of current through the circuit.

Since the capacitor is fully charged at t = 0, it resists any change in the current. Therefore, the circuit has zero current flowing through it. As time progresses, the capacitor will start to discharge, releasing the stored energy and allowing the current to flow. The discharge process is governed by the relationship between the voltage across the capacitor, the capacitance of the capacitor, and the resistance in the circuit.

Finally, at t = 0, the capacitor in the circuit is charged to its maximum capacity, qmax, and the circuit has zero current flowing through it.

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Alex is a faster runner than Carlos. The chart below relates how many laps around the track each runs in the same amount of time.

Number of Laps Run
Alex Carlos
4 3
8 6
12 9
How many laps will Alex have run in the time it take Carlos to run 12 laps?

Answers

Answer:

16

Step-by-step explanation:

Alex will run 16 laps in the time it take for Carlos to run 12 laps.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given are the values related to the number of laps run by Alex and Carlos.

The number of laps run by Alex is forming the multiples of 4 or 4x.

Number of laps run by Carlos is forming the multiples of 3 or 3x.

When x = 1,

Alex : 4 × 1 = 4

Carlos : 3 × 1 = 3

When x = 2,

Alex : 4 × 2 = 8

Carlos : 3 × 2 = 6

When x = 3,

Alex : 4 × 3 = 12

Carlos : 3 × 3 = 9

When x = 4,

Alex : 4 × 4 = 16

Carlos : 3 × 4 = 12

Hence Alex ran 16 laps in the same time for which Carlos ran 12 laps.

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Solve the inequality for d

df+9h>2

Answers

Answer:

d=2_f - 9h_f

Step-by-step explanation:

es la segunda opción

You measure 40 textbooks' weights, and find they have a mean weight of 42 ounces. Assume the population standard deviation is 3.8 ounces. Based on this, construct a 90% confidence interval for the true population mean textbook weight.
Give your answers as decimals, to two places
__________<μ<__________

Answers

The 90% confidence interval for the true population mean textbook weight, based on the given data, is approximately 41.44 ounces to 42.56 ounces.

To construct a confidence interval for the population mean textbook weight, we can use the formula:

Confidence Interval = sample mean ± (critical value * standard error)

Given that the sample mean is 42 ounces and the population standard deviation is 3.8 ounces, we need to determine the critical value and the standard error.

For a 90% confidence interval, the critical value corresponds to a two-tailed z-score of 1.645 (from the standard normal distribution).

The standard error can be calculated as the population standard deviation divided by the square root of the sample size. Since the sample size is not provided, we cannot calculate the exact standard error. However, if we assume a large sample size (usually considered to be greater than 30), we can use the formula for the standard error.

Assuming a large sample size, the standard error would be 3.8 ounces divided by the square root of the sample size.

Using the formula for the confidence interval, we can now calculate the range:

Confidence Interval = 42 ± (1.645 * standard error)

Substituting the values, we get:

Confidence Interval = 42 ± (1.645 * 3.8 / sqrt(sample size))

Since we do not know the sample size, we cannot calculate the exact confidence interval. However, based on the given data, we can conclude that the true population mean textbook weight falls between approximately 41.44 ounces and 42.56 ounces with 90% confidence.

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evaluating quadratic functions using equations evaluate the function g(x) = –2x2 3x – 5 for the input values –2, 0, and 3. g(–2) = –2(–2)2 3(–2) – 5 g(–2) = –2(4) – 6 – 5 g(–2) = g(0) = g(3) =

Answers

Evaluating the quadratic function we will get:

g(-2) = -3

g(0) =  -5

g(3) = 31

How to evaluate the quadratic function?

Here we need to evaluate the quadratic function:

g(x) = -2x² + 3x - 5

To do so, just replace the value of x by the correspondent number.

For example, if x = -2

g(-2) = 2*(-2)² + 3*(-2) - 5 = -3

if x = 0

g(0) = 2*(0)² + 3*(0) - 5 = -5

if x = 3

g(3) = 2*(3)² + 3*(3) - 5 = 31

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HELP MATH ASAP! I GIVE BRAINLIEST

Answers

The answer would be 0.

4) A spinner has 8 congruent sections as shown in the diagram. If the
spinner is spun twice, what is the probability that the first spin will land on
a whistle and the second spin will land on a yo-yo?"

a. 1/2
b. 1/8
c. 2/8
d. 1/32

Answers

I need more info. How many spaces are yo-yo and how many are whistle?

The hair color of the players on a tennis team would be considered: a. Ratio data b. Ordinal data c. Nominal data d. Interval data

Answers

The hair color of the players on a tennis team would be considered nominal data. Therefore, the most appropriate answer is option (c): Nominal data.

In data classification, there are four main levels of measurement: nominal, ordinal, interval, and ratio. Nominal data is the lowest level of measurement and represents categories or labels that cannot be ranked or ordered. Hair color falls into this category as it represents different categories or labels such as blonde, brunette, red, etc. Nominal data does not have any inherent numerical value or order.

On the other hand, ordinal data represents categories that can be ordered or ranked but do not have a consistent interval between them. Interval and ratio data involve numerical values with a consistent interval and a true zero point, with ratio data having a meaningful zero point.

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WHAT WOULD THiS BE! ‍♀️


no scammers pleaseee!

Answers

Answer:

First find the unit rate for julie

3 hours/45 dollars

0.066 hours/1 dollar

Now based off table, find Jacksons

y = 25x

if x = 1, y would be 25

25 - .066 = 24.934 dollars

Step-by-step explanation:

HELP ME PLS

how do you graph a function??????

Answers

Answer:

It depends on the type of function, but essentially the process is the same

Step-by-step explanation:

You gather up all of the y values and x values and plot them onto a coordinate grid. If you are using a calculator, go to the "y=" button and input the function and then hit "graph"

a strain of peas has 3 green and one yellow for every four peas. if 12 peas are rendomly selected, what is the probability that exactly 8 peas are green? provide your answer to three decimal places

Answers

The probability of exactly 8 green peas is 0.475, rounded to three decimal places, i.e., 0.475.

We can use the binomial probability formula to solve this problem.

The formula is given as; $$P(X=k)={n\choose k}p^k(1-p)^{n-k}$$

Where;
n= sample size=12
k= number of green peas=8
p= probability of getting a green pea=3/4
q= probability of getting a yellow pea=1/4
Since we want the probability of exactly 8 green peas out of 12 peas,

we will plug in the values in the formula to get;

$$P(X=8)={12\choose 8}(\frac{3}{4})^8 (1-\frac{3}{4})^{12-8}$$$$

P(X=8)={12\choose 8}(\frac{3}{4})^8(\frac{1}{4})^{4}$$$$P(X=8)=495

(0.3164)(0.0039)$$$$P(X=8)=0.4749$$

Therefore, the probability of exactly 8 green peas is 0.475, rounded to three decimal places, i.e., 0.475.

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8. find h[n], the unit impulse response of the system described by the following equation y[ n+2] +2y[ n+1] + y[n] = 2x[n+ 2] − x[n+ 1]

Answers

The unit impulse response of the system described by the equation y[n+2] + 2y[n+1] + y[n] = 2x[n+2] − x[n+1] is h[n] = 2δ[n+2] − δ[n+1] + δ[n], where δ[n] represents the unit impulse function.

To find the unit impulse response, we need to determine the output of the system when an impulse is applied at the input, i.e., x[n] = δ[n].

Substituting x[n] = δ[n] into the given equation, we have:

y[n+2] + 2y[n+1] + y[n] = 2δ[n+2] − δ[n+1].

Since δ[n] = 0 for n ≠ 0 and δ[0] = 1, we can simplify the equation:

y[n+2] + 2y[n+1] + y[n] = 2δ[n+2] − δ[n+1] + δ[n] = 2δ[n+2] − δ[n+1] + δ[n]δ[n].

Now, comparing the equation with the standard form of the unit impulse response:

h[n] = 2δ[n+2] − δ[n+1] + δ[n],

we can conclude that h[n] is the unit impulse response of the given system.

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Type "Mt. Fuji , Japan" into the GE search window) once you arrive there, tilt your frame of view to the north and observe the topography of the mountain from an eye altitude of several kilometers. Use the cursor to measure the peak height above sea level. Which of the answers below best describes the gen- eral shape of Mt. Fuji? a. A large linear fissure in Earth's surface b. A low-relief, very broad shield volcano c. A steep-sided, low-elevation cinder cone d. A high-elevation, steep-sided stratovolcano in developed countries the differences between mens and womens use of leisure have question 2 options: a. narrowed b. increased c. not reflected feminist ideas d. b and c e. none of the above in most situations, the true mean and standard deviation are unknown quantities that have to be estimated.T/F Which of the following statements about Banker's algorithm are true?A) It is a deadlock-preventing algorithmB) It is a deadlock-avoiding algorithmC) It is a deadlock detection algorithmD) It can be used when there are multiple instances of a resource Consider a 3.70 percent TIPS with an issue CPI reference of 188.0. The bond is purchased at the beginning of the year (after the interest payment), when the CPI was 195.9. For the interest payment in Find the area under the standard normal distribution curve to the left of z=1.79 Use The Standard Normal Distribution Table and enter the answer to 4 decimal places.The area to the left of the z values is ______ needham Pharmaceuticals has a profit margin of 4% an equitymultiplier of 2.4. its sales are 90 million and has total assets of50 million. what is the return on equity? Do not round intermediatecalc At year end the perpetual records of Greta Co. showed a balance of $98,000 in the Merchandise Inventory account. The company did a year end inventory count and the actual inventory on hand was, $96,500. Please show the adjusting journal entry required. Account Name Debit Credit 2) Greta runs a perpetual system for inventory costs. At year end, it is estimated that 3% of total Sales, $535,000, will be the amount of Sales that will be returned during the next year. This will bring back an estimated $9,550 of Inventory. Please show the appropriate 2 Adjusting Entries needed. Account Name Debit Credit 2 a) b) c) Which of these Adjusting Entries would be done if Greta Co. was instead running a periodic intentory system? d) Where in the Financial Statements would the other Adjusting Entry amount be shown? Ex 6 When using a perpetual inventory system, how many closing entries does a merchandising company have, and describe these. Find the lengths of the curves in y = x^2, -1 does temperature affet how high a ball bounces? ropicsun is a leading grower and distributor of fresh citrus products with three large citrus groves scattered around central Florida in the cities of Mt. Dora, Eustis, and Clermont. Tropicsun currently has 275,000 bushels of citrus at the grove in Mt. Dora, 400,000 bushels at the grove in Eustis, and 300,000 at the grove in Clermont. Tropicsun has citrus processing plants in Ocala, Orlando, and Leesburg with processing capacities to handle 200,000; 600,000; and 225,000 bushels, respectively. Tropicsun contracts with a local trucking company to transport its fruit from the groves to the processing plants. The trucking company charges a flat rate of $8 per mile regardless of how many bushels of fruit are transported. The following table summarizes the distances (in miles) between each grove and processing plant:Distances (in Miles) Between groves and PlantsProcessing PlantGroveOcalaOrlandoLeesburgMt. Dora215040Eustis353022Clermont552025Tropicsun wants to determine how many bushels to ship from each grove to each processing plant in order to minimize the total transportation cost.a. Formulate an ILP model for this problem.b. Create a spreadsheet model for this problem and solve it.c. What is the optimal solution? Dongguk Industry, adopting Perpetual Inventory recording system, recorded two inventory layers by the end of June 30- 1 100 units x unit cost $20 (purchased on June 25) 80 units x unit cost $22 Dongguk Industry physically counted to identify 175 units and Net Realiable Value is valued at $19 per unit. If the company uses FIFO cost flow assumption, what are the inventory shrinkage loss and inventory valuation loss? a. Inventory shrinkage loss: $100. b. Inventory shrinkage loss: $95. c. Inventory shrinkage loss: $105. d. Inventory shrinkage loss: $110. Inventory valuation loss: $335 Inventory valuation loss: $340 Inventory valuation loss: $330 Inventory valuation loss: $325 vetem? A motorcycle daredevil is attempting to jump from one ramp onto another. The takeoff ramp makes an angle of 18.0o above the horizontal, and the landing ramp is identical. The cyclist leaves the ramp with a speed of 33.5 m/s. What is the maximum distance that the landing ramp can be placed from the takeoff ramp so that the cyclist still lands on it? Given six integers chosen randomly. Prove the sum or difference of two of them is divisible by 9. [Hint: Any number n can be represented as one of the five cases: 9k, 9k31, 9k+2, 9k:3, 9k+4] Amy Lloyd is interested in leasing a new car and has contacted three automobile dealers for pricing information. Each dealer offered Amy a closed-end 36 month lease with no down payment due at the time of signing. Each lease includes a monthly charge and a mileage allowance. Additional miles receive a surcharge on a per-mile basis. The monthly lease cost, the mileage allowance, and the cost for additional miles follow: Dealer Monthly Cost Mileage Cost per Allowance Additional Mile $289 35,000 $0.15 Dealer Dealer B Dealer $300 45.000 $0.20 5315 54,000 $0.15 Amy decided to choose the lease option that will minimize her total 36- month cost. The difficulty is that Amy is not sure how many miles she will drive over the next three years. For purposes of this decision she believes it is reasonable to assume that she will drive 12,000 miles per year, 15,000 miles per year, or 18,000 miles per year. With this assumption Amy estimated her total costs for the three lease options. For example, she figures that the Dealer Alease will cost her 36($289) + $0.15(36,000 - 36,000) - $10,404 if she drives 12,000 miles per year 36(5289) - $0.15[45,000 - 36,000) - $11.754 if she drives 15,000 miles per year, or 36($289) + $0.15(54,000 - 36,000) - $13,104 if she drives 18,000 miles per year. (a) What is the decision, and what is the chance event? The decision is to choose the best lose option alternatives. The chance event is the number of mes driven There are possible outcomes (b) Construct a payoff table. Enter your answers in $). Annual Miles Driven Dealer 12,000 15,000 Dealer A $10,404 $11,754 18,000 $13,104 Dealer B 10800 10000 12600 Dealerc $ 11340 11340 11340 (c) IF Amy has no idea which of the three mileage assumptions is most appropriate, what is the recommended decision (leasing option) using the optimistic, conservative, and minimax regret approaches? The recommended decision using the optimistic approach is Dealer The recommended decision using the conservative approach is Dealer Aura |x The recommended decision using the minimax regret approach is Dear G (d) Suppose that the probabilities that Amy drives 12,000, 15,000, and 18,000 miles per year are 0.5, 0.4 and 0.1, respectively. What option should Amy choose using the expected value approach? EVIDealer A) - 11214 EV(Dealer B) - $ 10980 EVIDealer C) - $ 11340 The best decision is Dealer B (e) Develop a risk profile for the decision selected in part (d). What is the most likely cost, and what is its probability? Based on the risk profile, the most likely cost is s at a probability of (6) Suppose that after further consideration Army concludes that the probabilities that she will drive 12,000, 15,000, and 18,000 miles per year are 0.3, 0.4, and 0.3, respectively. What decision should Amy make using the expected value approach? EV Dealer A) - 5 EV(Dealer B) - 5 EVIDealer C) = $ The best decision is S Cullumber Company at December 31 has cash $20,600, noncash assets $108,000, liabilities $57,400, and the following capital balances: Floyd $43,400 and DeWitt $27,800. The firm is liquidated, and $119,000 in cash is received for the noncash assets. Floyd and DeWitt income ratios are 70% and 30%, respectively. Cullumber Company decides to liquidate the partnership. Prepare the entries to record: (Credit account titles are automatically indented when amount is entered. Do not indent manually.) a. The sale of noncash assets, b. The allocation of the gain or loss on realization to the partners. c. Payment of creditors. d. Distribution of cash to the partners. A wave passes through an opening in a barrier. The amount of diffraction experienced by thewave depends on the size of the opening and thewaves(1) amplitude (3) velocity(2) wavelength (4) phase ten years ago, you put $150,000 into an interest-earning account. today it is worth $275,000. what is the effective annual interest earned on the account? group of answer choices John is looking to sell his car and Mary is looking to buy it. John values the car at $2000 and Mary values it at $3000. John places an add in the newspaper and Mary must either accept the offer or ignore it. Which of the following prices would be the best price for John to advertise the car for? a. $2000 b. $2500 c. $3500 d. $2999 e. John is indifferent between any of these prices. in the delphi-technique strategy for improving decision making, members do not need to meet ___________.