If the two triangles are similar,what is the length of the missing side?

If The Two Triangles Are Similar,what Is The Length Of The Missing Side?

Answers

Answer 1

Answer:

8 m

Step-by-step explanation:

7.5 - 1.5 = 6

2 + 6 = 8


Related Questions

Approximate the area of the region bounded by the graph of f(t) = cos (t/2 - 3 pi /8) and the t - axis on [3 pi /8, 11 pi /8] with n = 4 subintervals. Use the midpoint of each subinterval to determine the height of each rectangle (see figure). The approximate area of the region is . (Round to two decimal places as needed.)

Answers

To approximate the area of the region bounded by the graph of f(t) = cos(t/2 - 3π/8) and the t-axis on the interval [3π/8, 11π/8] using 4 subintervals, we can use the midpoint rule.

The width of each subinterval is (11π/8 - 3π/8) / 4 = π/2.

We can calculate the height of each rectangle by evaluating the function at the midpoint of each subinterval.

The midpoints of the subintervals are:

t₁ = 3π/8 + π/4 = 5π/8

t₂ = 5π/8 + π/4 = 7π/8

t₃ = 7π/8 + π/4 = 9π/8

t₄ = 9π/8 + π/4 = 11π/8

Calculating the corresponding heights:

f(t₁) = cos(5π/16 - 3π/8)

f(t₂) = cos(7π/16 - 3π/8)

f(t₃) = cos(9π/16 - 3π/8)

f(t₄) = cos(11π/16 - 3π/8)

Now we can calculate the area of each rectangle by multiplying the width by the height.

Area of rectangle 1: (π/2) * f(t₁)

Area of rectangle 2: (π/2) * f(t₂)

Area of rectangle 3: (π/2) * f(t₃)

Area of rectangle 4: (π/2) * f(t₄)

Finally, we can approximate the total area by summing up the areas of all the rectangles:

Approximate area = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3 + Area of rectangle 4

Please note that I cannot provide the exact numerical values as the calculation involves trigonometric functions and the specific values of π/8.

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Find the amount necessary to fund the given withdrawals.


Semiannual withdrawals of 270$ for 6 years, interest rate is 6.2% compounded semiannually

Answers

Answer:

the amount that necessary to fund is $2,671.61

Step-by-step explanation:

The computation of the amount is shown below;

Given that

PMT = $270

NPER = 6 × 2 = 12

RATE = 6.2% ÷ 2 = 3.1%

FV = $0

The formula is shown below:

=-PV(RATE;NPER;PMT;FV;TYPE)

After applying the above formula the present value is $2,671.61

hence, the amount that necessary to fund is $2,671.61

Solve for the value of a

Answers

Answer:

a=7

Step-by-step explanation:

These two angles are complementary and the sum of their measures is 90°.

Therefore, we can create the equation: (5a+3)+52=90.

1. combine like terms. the equation becomes 5a+55=90.

2. -55 to both sides of the equation. the equation becomes 5a=35.

3. /5 to both sides of the equation. we can reach the conclusion that a=7

Find the value of x so that the ratios 8 : x and 12 : 18 are equivalent.

Answers

Answer:

12

Step-by-step explanation:

12:18=2:3 multiply by four to get 8 as the first term

8:12

8:x

so x is 12.

*this could be wrong so check my work

Answer:

x = 12

Explanation:

8 : x

12 : 18

to find the value of x, we need to convert 12 into 8. since they both have a common factor of 4, we can divide 12 by 3 to get 4, and then multiply it by 2 to get 8. in numerical terms, this is:

12 ÷ 3 = 4

4 × 2 = 8

now, we can do the same for 18.

18 ÷ 3 = 6

6 × 2 = 12

thus, 12 : 18 is equivalent to 8 : 12. x = 12.

Jake writes this word expression.

the product of 9 and m

Enter an algebraic expression for the word expression.

The expression is m.

Then, evaluate the expression for m = 6.

Answers

9 * m
9 * 6 = 54
* (multiplication sign)

PLEASE HELP! WILL GIVE BRAINLIEST ANSWER!!


Distance run by each member of the Chicago Race Club.

In which interval is the median distance?

A. 0-5
B. 5-10
C. 10-15
D. 15-20

Answers

Answer:

I wanna say that it is 10-15

Step-by-step explanation:

Answer:

10-15

Step-by-step explanation:

#BeTheBest

The percent of Tom winning a game is 20%, he played 30 games. How mang games did he lose?​

Answers

Answer:

He won 6 games and lost 24 games.

I need the answer fast please !

Answers

Answer:

30

Step-by-step explanation:

Angles on a straight line are equal to 180°

180°-120°= 60°

Sum of Co interior angles are equal to 180°

180°-60° =120°

90°+60°+ x = 180°

((180° - 90° - 60°= 30°))

The initial size of a bacteria culture is 1000. After one hour the bacteria count is 8000. After how many hours will the bacteria population reach 15000? Assume the population grows exponentially.

Answers

Answer: Let’s assume that the bacteria population grows exponentially according to the formula P(t) = P0 * e^(kt), where P0 is the initial population, k is the growth rate, t is time in hours, and e is the mathematical constant approximately equal to 2.71828. We know that at time t = 0, the population is P(0) = 1000. After one hour, the population is P(1) = 8000. We can use this information to solve for the growth rate k. Substituting the values into the formula, we get: 8000 = 1000 * e^(k * 1) Dividing both sides by 1000, we get: 8 = e^k Taking the natural logarithm of both sides, we get: ln(8) = k Now that we have solved for k, we can use the formula to find out when the population will reach 15000. 15000 = 1000 * e^(ln(8) * t) Dividing both sides by 1000, we get: 15 = e^(ln(8) * t) Taking the natural logarithm of both sides, we get: ln(15) = ln(8) * t Dividing both sides by ln(8), we get: t = ln(15)/ln(8) ≈ 1.71 hours So it will take approximately 1.71 hours for the bacteria population to reach 15000. Received message.

match the lines l1 (blue), l2 ( red) and l3 (green) with the slopes by placing the letter of the slopes next to each set listed below:

Answers

I apologize, I cannot visually perceive or manipulate colors or lines directly. However, if you provide me with the equations of the lines or any additional information about their slopes, I would be more than happy to help you match the slopes with the corresponding lines.

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To match the lines (l1, l2, l3) with their corresponding slopes, we need to assign letters representing the slopes to each set.

Without specific information about the lines l1, l2, and l3, it is not possible to determine the exact slopes or their corresponding letters. In order to match the lines with their slopes, we would need additional details such as the equations of the lines or the coordinates of points on the lines.

The slope of a line represents the rate at which the line changes vertically (y-axis) with respect to the horizontal (x-axis). It is typically denoted by the letter "m" in mathematical notation.

To accurately match the lines l1, l2, and l3 with their respective slopes, we require more information about the lines themselves. Once the equations or coordinates are provided, we can calculate the slopes using the formula for slope, which is the change in y divided by the change in x.

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Using the Proportion to Find a Missing Measure
Try it
5
www
Use the proportion to solve for the unknown base measure of the enlarged trapezoid.
2 .
1 Set up the proportion
3.25 6.5
2.Use cross products
2(6.5) = 3.25()
3. Simplify
13 = 3.25x
4 Divide both sides by 3.25
The missing base measure of the enlarged trapezoid is
cm

Answers

Answer:

4 cm

Step-by-step explanation:

Please help me. I don’t know

Answers

Step-by-step explanation:

Area of square = Length x Length =

[tex] {length}^{2} [/tex]

Given Area of square =

[tex]256 {ft}^{2} [/tex]

[tex] {length}^{2} = 256 \\ length = \sqrt{256} \\ = 16ft[/tex]

Help please please pray that you pray

Answers

Answer:

well religion does not work here sorry

Step-by-step explanation:not everyone prays im sorry

Answer:

im confused

Step-by-step explanation:

dont delete this

Which expression is represented on the number line?

Answers

Answer:

b

Step-by-step explanation:

The charge to ship a package from one town to another, C, is given below as a function of the weight of the object, w, in pounds.

C = $3.50 + $0.55w

If the shipping cost for Cathy's item was $7.02, what was its weight?
A. 6.4 pounds
B. 64 pounds
C. 16.4 pounds
D. 0.64 of a pound

Answers

Answer:

Option A

Step-by-step explanation:

The total shipping cost given was  $7.02.

C = 7.02

Solve for 'w'.

[tex]C = $3.50 + $0.55w\\\\7.02=3.50+0.55w\\\\3.52=0.55w\\\\\boxed{6.4=w}[/tex]

Hope this helps.

You have an annual salary of $47,334. Your monthly expenses include a $1,115 mortgage payment, a $336 car lease payment, $112 in minimum credit card payments, and a $108 payment on your student loan. Calculate your DTI (debt-to-income) ratio as a PERCENTAGE (no % symbol needed).

Answers

Answer:

DTI ratio in percentage = 42.36

Step-by-step explanation:

Annual salary = $47334

This means that gross monthly pay = 47334/12 = $3944.5

Now,

Total monthly debt payments = 1115 + 336 + 112 + 108 = $1671

Debt to income ratio = (1671/3944.5) × 100% = 42.36%

Since we are told not to put the % symbol, then answer is 42.36

let f(x) = x 4 and g(x) = x – 3. if g is a vertical translation of f, how many units and in what direction is f translated to form g?

Answers

The number of units by which the graph of f(x) is translated vertically to obtain the graph of g(x) is -2 units. Since the value of d is negative, the direction of the translation is downwards. Thus, we can say that f(x) is translated 2 units downwards to form g(x).

f(x) = x⁴ and g(x) = x – 3, Since g is a vertical translation of f, we know that the graph of g(x) can be obtained by translating the graph of f(x) vertically up or down by some units, d. Thus, we can express g(x) as follows:g(x) = f(x) + d

Here, d represents the number of units by which the graph of f(x) is translated vertically to obtain the graph of g(x). Now, f(x) = x⁴, which means that the graph of f(x) is a standard cubic graph that has not undergone any transformation. We can represent this graph by the equation y = x⁴.

When g(x) is a vertical translation of f(x), we can write g(x) = y + d where d is the number of units by which f(x) is translated vertically to obtain g(x). Thus, we can rewrite g(x) as:

g(x) = f(x) + d

Substituting the values of f(x) and g(x), we get: x – 3 = x⁴ + d

Rearranging the equation, we have:x⁴ = x – 3 – d

Now, the number of units by which the graph of f(x) is translated vertically to obtain the graph of g(x), we need the value of d. To do this, we can use the fact that the graphs of f(x) and g(x) intersect at some point. At this point, the value of f(x) is equal to the value of g(x). Thus, we can write x⁴ = x – 3 – d

Solving this equation, we get x⁴ = x – (3 + d), the value of d by comparing the coefficients of x on both sides of the equation. On the left-hand side of the equation, the coefficient of x is 0, while on the right-hand side of the equation, the coefficient of x is 1. Thus, we can write:

0 = 1 – (3 + d)

Simplifying this equation, we get: d = -2

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1. A random sample of 400 married couples was selected from a large population of married couples. There were 20 couples in which the wife was taller than her husband, and there were 380 couples in which the wife was shorter that her husband. Find a 95 percent confidence interval for the proportion of married couples in the population for which the wife is taller than her husband. Interpret your interval in the context of this question.

Answers

Answer:

[tex]CI = (0.028636,0.071364)[/tex]

I am 95% confident that the true proportion of couples where the wife is taller than her husband is captured in the interval (.028, .071)

Step-by-step explanation:

Given

[tex]n = 400[/tex]

[tex]x = 20[/tex] --- taller wife

[tex]y = 380[/tex] --- shorter wife

Required

Determine the 95% confidence interval of taller wives

First, calculate the proportion of taller wives

[tex]\hat p = \frac{x}{n}[/tex]

[tex]\hat p = \frac{20}{400}[/tex]

[tex]\hat p = 0.05[/tex]

The z value for 95% confidence interval is:

[tex]z = 1.96[/tex]

The confidence interval is calculated as:

[tex]CI = \hat p \± z \sqrt{\frac{\hat p (1 - \hat p)}{n}}[/tex]

[tex]CI = 0.05 \± 1.96* \sqrt{\frac{0.05 (1 - 0.05)}{400}}[/tex]

[tex]CI = 0.05 \± 1.96 * \sqrt{\frac{0.0475}{400}}[/tex]

[tex]CI = 0.05 \± 1.96 * \sqrt{0.00011875}[/tex]

[tex]CI = 0.05 \± 1.96 * 0.01090[/tex]

[tex]CI = 0.05 \± 0.021364[/tex]

This gives:

[tex]CI = (0.05 - 0.021364,0.05 + 0.021364)[/tex]

[tex]CI = (0.028636,0.071364)[/tex]

Given the line y = 3x + 5:
Write the equation of a line, in point-slope form, that is parallel to the original and passes through the point (7,1)

Answers

y=3x+5
Gradient=3
y-y1=m(x-x1)
If the points are (7,1)
y-1=3(x-7)
y-1=3x-21
y=3x-20 as your equation
Note: when lines are parallel they have equal gradient

someone help this question is worth 50 points! What ratios are equivalent to the ratio 24:4

A.) 6:1
B.) 12:2
C.) 4:24
D.) 48:8
E.) 18:3
F:) 1:6

Answers

Step-by-step explanation:

just put the ratios into a fraction if x:y then x/y

A.)6/1=6

B.)12/2=6

C.)4/24=1/6

D.)48/8=6

E.)18/3=6

F.)1/6

24/4=6 so A, B, D, and E are equivilant to the ratio 24/4

Hope that helps :)

Answer:

6:1 ,12:2, 48:8

Step-by-step explanation:

24:4

24 ÷ 4 =6 and 4÷4 =1

6:1

24:4

24÷2 =12 , 4÷2=2,

12:2

48:8

24×2=48, 4×2=8

48:8

The distribution of actual weights of 8-ounce chocolate bars produced by a certain machine is Normal with mean 8.1 ounces and standard deviation 0.1 ounces. Company managers do not want the weight of a chocolate bar to fall below 8 ounces, for fear that consumers will complain. (a) Find the probability that the weight of a randomly selected candy bar is less than 8 ounces Forty candy bars are selected at random and their mean weight is computed. (b) Calculate the mean and standard deviation of the sampling distribution of (c) Find the probability that the mean weight of the forty candy bars is less than 8 ounces. (d) Would your answers to (a), (b), or (c) be affected if the weights of chocolate bars produced by this machine were distinctly non-Normal? Explain.

Answers

a. the probability that the weight of a randomly selected candy bar is less than 8 ounces is approximately 0.1587 or 15.87%. b. the standard deviation of the sampling distribution is 0.1 / sqrt(40) ≈ 0.0159 ounces. c. the probability that the mean weight of the forty candy bars is less than 8 ounces is almost 0 or very close to 0.

(a) The probability that the weight of a randomly selected candy bar is less than 8 ounces can be found by calculating the cumulative probability using the Normal distribution. Given that the distribution of weights is Normal with a mean of 8.1 ounces and a standard deviation of 0.1 ounces, we want to find P(X < 8), where X represents the weight of a candy bar.

Using the properties of the Normal distribution, we can standardize the variable X using the formula Z = (X - μ) / σ, where Z is the standard normal random variable, μ is the mean, and σ is the standard deviation.

For our case, we have Z = (8 - 8.1) / 0.1 = -1.

Using a standard normal distribution table or a calculator, we find that the cumulative probability for Z = -1 is approximately 0.1587. Therefore, the probability that the weight of a randomly selected candy bar is less than 8 ounces is approximately 0.1587 or 15.87%.

(b) The mean of the sampling distribution of the sample mean can be calculated as the same as the mean of the population, which is 8.1 ounces.

The standard deviation of the sampling distribution of the sample mean, also known as the standard error of the mean, can be calculated using the formula σ / sqrt(n), where σ is the standard deviation of the population and n is the sample size.

In our case, the standard deviation of the population is 0.1 ounces, and the sample size is 40 candy bars. Therefore, the standard deviation of the sampling distribution is 0.1 / sqrt(40) ≈ 0.0159 ounces.

(c) To find the probability that the mean weight of the forty candy bars is less than 8 ounces, we can again use the properties of the Normal distribution. Since the mean and standard deviation of the sampling distribution are known, we can standardize the variable using the formula Z = (X - μ) / (σ / sqrt(n)).

In this case, we have Z = (8 - 8.1) / (0.0159) ≈ -6.29.

Using a standard normal distribution table or a calculator, we find that the cumulative probability for Z = -6.29 is extremely close to 0. Therefore, the probability that the mean weight of the forty candy bars is less than 8 ounces is almost 0 or very close to 0.

(d) The answers to (a), (b), and (c) would not be affected if the weights of chocolate bars produced by this machine were distinctly non-Normal. This is because of the Central Limit Theorem, which states that regardless of the shape of the population distribution, as the sample size increases, the sampling distribution of the sample mean approaches a Normal distribution.

In our case, we have a sufficiently large sample size of 40, which allows us to rely on the Central Limit Theorem. As long as the sample size is large enough, the sampling distribution of the sample mean will still be approximately Normal, even if the population distribution is non-Normal.

Therefore, we can still use the Normal distribution to calculate probabilities and determine the mean and standard deviation of the sampling distribution, regardless of the population distribution being non-Normal.

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Ben needs to replace two sides of his fence. One side is meters long, and the other is meters long. How much fence does Ben need to buy?

Answers

Answer:

696 39/100 meters

Step-by-step explanation:

Ben needs to replace two sides of his fence. One side is 367 9/100 meters long, and the other is 329 3/10 meters long. How much fence does Ben need to buy?

Side A = 367 9/100 meters

Side B = 329 3/10 meters

How much fence does Ben need to buy?

Total fence Ben needs to buy = Side A + side B

= 367 9/100 + 329 3/10

= 36709/100 + 3293/10

= (36709+32930) / 100

= 69639/100

= 696 39/100 meters

Ben needs to buy 696 39/100 meters


Find the total lateral area of the following
cone. Leave your answer in terms of a.
4 cm
3 cm
LA = ? cm2

Answers

Answer:

15π cm²

Step-by-step explanation:

The total lateral area of a cone

= πr√h² + r²

= √h² + r² = l

h = Height = 4cm

r = radius = 3cm

Hence:

= π × 3 √4² + 3²

= 3π × √16 + 9

= 3π × √25

= 3π × 5

= 15π cm²

if the probability of winning $10 on a bet is 50% and the probability of winning nothing is 50%, what is the expected value of the bet?

Answers

The expected value of the bet is $5.

The expected value of the bet is calculated by multiplying each possible outcome by its corresponding probability and summing them up. In this case, there are two possible outcomes: winning $10 with a probability of 50% (0.5) and winning nothing with a probability of 50% (0.5).

To find the expected value, we multiply the value of each outcome by its probability:

Expected Value = ($10 * 0.5) + ($0 * 0.5) = $5 + $0 = $5.

Therefore, the expected value of the bet is $5. This means that, on average, for each bet placed, we can expect to win $5. It represents the long-term average outcome and is useful in assessing the overall value or profitability of the bet.

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A company that makes hard candy have a standard bag of hard candy with 150 pieces. The hard candy has three distinct colors red, white and orange and equal proportion of each candy is present in the standard bag. The manager wants to know whether the bags produced last Monday were similar to the standard bag. To test this, they plan to choose a random bag from the batch and compare it with the standard bag. You will have to answer questions below to assist the manager in comparing the two bags. Based on the data provided above how many degrees of freedom will you have while performing the necessary test of comparison

Answers

Answer:

The degrees of freedom, Df = The number of bags produced on Monday - 1

Step-by-step explanation:

The number of degrees of freedom is the limiting number of values that are logically not influenced by other values such that they are capable of having variation

The degrees of freedom = The sample size - 1 = N - 1

Therefore, the degrees of freedom, Df = The number of bags produced on Monday - 1

A bag contains 12 yellow tiles and 12 blue tiles. A student will choose one tile from the bag without looking. Which word(s) describe the probability of choosing a blue tile from the bag? likely O certain O impossible O equally likely

on a k12 quiz btw​

Answers

Answer:

Equally Likely

The table shows the amounts A (in billions of dollars) budgeted for national defense for the years 1998 to 2004.

Answers

Ok ahhh thank u po


Sana all
Sana talaga

Does someone mind helping me with this? I thought I had it but didnt. Thank you!

Answers

When x = 5, y = -1

When x = 6, y = 0

When x = 9, y = 1

When x = 14, y = 2

3. The following sequence shows the number of pushups Kendall did each week, starting with her first week of exercising: 6, 18, 54, 162…
(a) What is the recursive rule for the sequence?
(b) What is the iterative rule for the sequence?

Answers

{{{ THE BOLDED CHARACTERS SHOULD BE SMALL. }}}

SEQUENCE: 6, 18, 54, 162

18/6 = 3

54/18 = 3

162/54 = 3

then, r (common ratio) = 3

_________________________________________

RECURSIVE RULE: r = 3

an = a(n - 1) × r       [formula]

ANSWER: an = a(n - 1) × 3

_________________________________________

ITERIATIVE RULE: r = 3, a1 = 6

an = a1 × r^(n - 1)       [formula] [ ^(n-1) is an exponent]

ANSWER: an = 6 × 3^(n - 1)

Work out the surface area of this cylinder. Give your answer in terms of π.

Please help.
Don’t comment a random link or I will report you!!

Answers

Answer:

2010.62cm²

Step-by-step explanation:

The equation for the surface area of cylinder is:

A = 2πrh + 2πr²

Hope it was helpful

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The population of major economic powers like USA, Germany, South Korea and Japan are predicted to get smaller and older over the next few years. According to the organization for Economic Cooperation and Development (OECD), the old-age dependency ration will rise dramatically over the next few years. The old-age dependency ratio is the ratio of the number of people aged 65 and above to the number of people between the ages of 20 and 64.The implications of these demographic changes for countries and companies are serious. For many companies, when retirees leave, a lifetime of experience and knowledge can be lost when they leave. Japan is one of the first major economy to face an ageing and shrinking population and Japanese companies are at the forefront of responding to these changes. For example, Toyota has adapted its workstations to make it more comfortable for the older workforce.The reality is that countries operating in countries with shrinking population are likely to face higher wage and salary costs as the supply of labour shrinks. In countries with ageing population, companies are likely to face higher taxes as governments struggle to find revenues to support and care for older citizens. Moreover, an increasing portion of the population will be employed to care for the retirees, shrinking the availability of labour for other sectors of the economy.Consumption patterns will also change as older people need different things compared to younger people. For example, older people will need more healthcare products, medical services, different insurance packages, more leisure activities while younger people will be buying more consumer products like electrical equipment, educational services, household goods.Japanese companies appear to be at the forefront of adapting new technologies to meet these demographic challenges. A Nagoya based supplier of cable television and local area network technology has developed a system to allow the elderly to self-administer basic medical measurements which can be transmitted to their doctors via the internet. Other manufacturers are developing service robots to help the elderly in daily living. (Source: adapted from RW Griffin and MW Pustay, International Business (2015), 8thth edition, Pearson, pg 44))Question 1Analyse the effect of the demographic changes on the competitiveness of countries engaged in international business. (50 marks) 1500 words A 4) (10p) Suppose that in Turkey's the velocity of money is constant, real GDP grows by 6% per year each year, the money stock grows by 9% per year, and the nominal interest rate is 7%. a) Using the Evaluating effectiveness, efficiency, and goal achievement are objectives of ________ audits.A) financialB) operationalC) information systemsD) all of the above A programmer writes a for statement to count from 1 to 100 and explicitly mentions the 1 and the 100 in the for "header." Which relational operator would probably be used in the loop-continuation test? (a) > (b) >= (c) != (d) Which of the following statements is false with regard to consolidated tax returns?Group of answer choicesA)Each corporation in the consolidated return have 80% or more of its voting stock or value owned by other corporations in the consolidated return (other than the common parent).B)The common parent must own directly more than 50% of the total voting power of all corporations included in the consolidated return.C)The tests to determine if an affiliated group exists must be met on every day of the tax year.D)Dividends paid between a subsidiary and the parent are excluded from taxable income on the consolidated return. Jane Co. exchanged equipment with Kelly Co. Information regarding the equipment to be exchanged by both parties is listed in the chart below. Assume depreciation has already been updated, and further that the exchange lacked commercial substance. Asset Given Up Jane Kelly Fair Value $3,200 $3,008 Cash $0 $192 Cost $5,000 $6,020 Accumulated Depreciation $2,400 $3,168 Prepare the journal entry that Jane would record at the time of the exchange. let t:p2r2 be defined by t(a0+a1x+a2x2)=(a0a1,a1a2). find thematrix for t relative to the bases b={1+x+x2,1+x,x+x2} andb={(1,2),(1,1)}.Let T : P R be defined by T(ao + ax + ax) = (ao a, a - a). Find the matrix for T relative to the bases B = {1+x+x,1+x, x+x} and B = {(1, 2), (1, 1)}. Freeman Company uses the perpetual inventory system and applied FIFO inventory costing method. At the end of the annual accounting period, December 31, 2014, the accounting records in inventory showed: Transactions Units Unit Cost 300 $20 Beginning inventory, Jan. 1. 2014 Purchase, Feb. 1 500 21 Purchase, May 15 400 22 Sale, March 15 (sold at $20 each) (400) Sale, July 31 (sold at $25 each) (500) Required: Assuming that the net realizable value of the inventory is $21 per unit. calculate the following: 1. Cost of goods available for sale (2 points) 2. Ending inventory to be reported on the balance sheet. (4 points) 3. Cost of goods sold to be reported on the income statement (4 points) 22. Rock Company issued a $1,000,000 of face value, 3-year bond on January 1, 2014. The bond was dated January 1, 2014, had an 8% stated rate (per year), pays cash interest annually on December 31, and issued when the market rate of interest was 6%. Rock Company uses the effective-interest method to account for its bond liability. Required 1: For the above data, calculate (mathematically) the bond issue price. (2 points) Required 2: Prepare the necessary journal entry for each of the following dates (assuming that no adjusting journal entries have been made during the year): (8 points) January 1, 2014 (2 points) December 31, 2014 (3 points) December 31, 2015 Which middle-income countries had higher mobile lines per 100 people than the united states and japan in 2014? Financial information is presented below:Operating expenses$24000Sales returns and7000allowancesSales discounts5000Sales revenue180000Cost of goods sold88000Gross profit would be$80000.O $87000.O $85000.O $92000. 1. Are your results for the converging lens in complete agreement with the fundamental lens equation? If not, to what do you attribute the discrepancies?2. When a virtual image is formed by a mirror, is it in front of the mirror or behind it? What about a real image?3. Is it possible to obtain a non-inverted image with a converging spherical lens? explain.4. Are your results for the spherical mirror in complete agreement with the fundamental lens equation? If not to what do you attribute the discrepancies?5. Light rays travel from left to right through a lens. If a virtual image is formed, on which side of the lens is it? On which side would a real image be found? A company estimates that warranty expense will be 5% of sales. The company has sales of $225,000 for the current period. The curent periode entry to record the warranty expense OA Warranty Expense 11,