Suppose you invest $210,000 in an annuity that returns 6 annual payments, with the first payment one year from now and each subsequent payment growing by 5%. At an interest rate of 8%, how much is the first annual payment you receive?

Answers

Answer 1

Answer:

$40,510.82

Explanation:

Present value = $210,000

Number of annual payments (n) = 6

Growth rate (g) = 5% or 0.05

Interest rate (r) = 8% or 0.08

Amount of first annual payment = [Present value * (r - g)] / [1 - {(1 + g)/(1 + r)}^n]

Amount of first annual payment = [210,000 * (0.08-0.05)] / [1 - [(1+0.05) / (1+0.08)]^6]

Amount of first annual payment = [210,000*0.03] / [1 - (0.972222)^6]

Amount of first annual payment = 6,300 / [1 - 0.844486]

Amount of first annual payment = 6,300 / 0.155514

Amount of first annual payment = 40510.82217678151

Amount of first annual payment = $40,510.82

So, the amount of the first annual payment you will receive is $40,510.82.


Related Questions

XYZ produces a single product and has provided the following data for its most recent month of operations:

Number of units produced 6,400
Variable costs per unit:
Direct materials $72
Direct labor $80
Variable manufacturing overhead $10
Variable selling and administrative expense $12
Fixed costs:
Fixed manufacturing overhead $224,000
Fixed selling and administrative expense $288,000

There were no beginning or ending inventories. The absorption costing unit product cost was: ____________-

Answers

Answer: $197

Explanation:

With absorption costing, the fixed manufacturing costs are absorbed by the products which means that the product cost will include fixed costs related to manufacturing.

The absorption costing unit product cost is therefore:

= Direct materials + Direct Labor + Variable manufacturing overhead + Fixed manufacturing Overhead per unit

Fixed manufacturing overhead per unit is:

= 224,000 / 6,400 units

= $35 per unit

Absorption cost unit product cost = 72 + 80 + 10 + 35

= $197

Fixed costs can be defined as costs thatGroup of answer choicesvary inversely with production.vary in proportion with production.are incurred only when production is large enough.are incurred even if nothing is produced.

Answers

Answer: are incurred even if nothing is produced.

Explanation:

Fixed costs are referred to as the cost that doesn't vary with the production level. Even if the company doesn't produce anything, the fixed cost will still be incurred.

The fixed cost is different from the variable cost which is the cost that varies along with production. Examples of fixed cost include salaries, rental lease payments, salaries, etc.

Notes Receivable differ from Accounts Receivable in that Notes Receivable: A. are generally considered a weaker legal claim B. do not have to be created for every new transaction, so they are used more frequently C. are noncurrent assets D. generally charge interest from the day they are signed to the day they are collected

Answers

Answer: D. generally charge interest from the day they are signed to the day they are collected

Explanation:

The notes receivable refers to the written promise that an amount of money will be received at a future date.

It should be noted that such money consist of the principal and the interest accrued. It is written under the current assets section in the balance sheet.

On the other hand, the accounts receivable refers to the payment that a company will receive from the customers who have bought its goods on credit.

While the nite receivable charges interest, the account receivable doesn't. Therefore, notes receivable differ from accounts receivable in that notes receivable generally charge interest from the day they are signed to the day they are collected.

Sandia Corporation manufactures metal toolboxes. It adds all materials at the beginning of the manufacturing process. The company has provided the following information:

Beginning work in process (30% complete) 80,000
Direct materials $80,000
Conversion cost 190,000
Total cost of beginning work in process $270,000
Number of units started 152,000
Number of units completed and transferred to finished goods ?
Ending work in process (50% complete) 68,000
Current period costs
Direct materials $180,000
Conversion cost 314,000
Total current period costs $494,000

Required:
a. Reconcile the number of physical units worked on during the period.
b. Calculate the cost per equivalent unit.

Answers

Answer:

The solution to these questions can be defined as follows:

Explanation:

For point a:

                                     [tex]Physical \ units\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Physical\ units[/tex]

[tex]Beginning\ units\ \ \ \ \ \ \ \ \ \ \ \ 80000\ \ \ \ \ \ \ \ \ \ \ \ Units\ completed \ \ \ \ \ \ \ \ \ \ \ \ 164000\\\\Units \ started\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 152000\ \ \ \ \ \ \ \ \ \ \ \ Ending\ units\ \ \ \ \ \ \ \ \ \ \ \ \ \ 68000\\\\Total\ units\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 232000\ \ \ \ \ \ \ \ \ \ \ \ Total \ units \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 232000\\\\[/tex]

For point b:

                                  [tex]Equivalent\ units[/tex]

                                 [tex]Physical\ units \ \ \ \ \ \ \ \ \ \ Direct \ materials\ \ \ \ \ \ \ \ \ Conversion[/tex] [tex]Units \ completed\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 164000\ \ \ \ \ \ \ \ \ \ \ \ 164000\ \ \ \ \ \ \ \ \ \ \ \ 164000 \\\\Ending \ inventory\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 68000\ \ \ \ \ \ \ \ \ \ \ \ 68000\ \ \ \ \ \ \ \ \ \ \ \ 34000\\\\Total \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 232000 \ \ \ \ \ \ \ \ \ \ \ \ 232000\ \ \ \ \ \ \ \ \ \ \ \ 198000[/tex]

The benefit the goverment receives from tax can be measured by

Answers

Answer:

the change in the equilibrium quantity of the good. the change in the equilibrium price of the good.

Explanation:

The benefit that government receives from a tax is measured by a. b. c. d. the change in the equilibrium quantity of the good. the change in the equilibrium price of the good.

The revenue or benefits received from tax by the government of a Country can be measured by using the Tax-to-GDP ratio.

The Tax-to-GDP ratio provides an in-depth knowledge of the revenues generated from tax by the nation as it relates to the economy.

This ratio helps to pinpoint the benefits from taxation with relation to the size of the nations economy. for instance, if their is higher revenue from tax, it means that the Country can spend more money healthcare, education or infrastructure.

Hence, the Tax-to-GDP ratio, measures the benefit from tax in a nation, and a higher tax revenue of a nations gross domestic product (GDP) signifies economic growth.

You can get more insight about taxes here https://brainly.com/question/15090055?referrer=searchResults

The law of comparative advantage says that a person should produce a good if he or she: Group of answer choices can produce the good at the same cost as another producer can. receives the highest marginal benefit from the good. has an absolute advantage in producing the good. has the lowest opportunity cost of producing the good. has the greatest desire to consume the good.

Answers

Answer:

has the lowest opportunity cost of producing the good

Explanation:

Comparative advantage is the capability of the one party in order to manufactured the goods or services at less opportunity cost as compared to the other party. It could be used for overall nations and thier economies

So as per the given situation, the above statement represent an answer

hence, the same is to be considered

Suppose a bank has $400 million in deposits and $25 million in required reserves, and it is holding no excess reserves. What is the required reserve ratio?

Answers

Answer:

the required reserve ratio is 6.25%

Explanation:

The calculation of the required reserve ratio is given below:

Required reserve ratio is

= required reserves ÷ deposits

= $25 ÷ $400

= 0.0625

= 6.25%

Hence, the required reserve ratio is 6.25%

The same is to be relevant and considered too

1. As more people in India have access to higher education, explain
how potential GDP and aggregate supply will change in the long
run.

Answers

Answer:

As more people in India have access to higher education, the country's economic growth potential, both in its GDP per capita and in its aggregate demand, will increase.

This is so because the higher the levels of education, the greater the added value that each person introduces into their economic production, with which the country's GDP is in turn increased.

On the other hand, this same economic growth generates a greater availability of wealth for society, with which the greater the availability of money, the greater the demand for goods and services that will be produced in that country.

Your friend Lorenzo is trying to decide on a career path. He has narrowed down his search to two choices. Before he selects a major, he wants to know more about the two careers and the skills needed for each profession. What advice would you give Lorenzo

Answers

Answer:

Interview someone in each of your chosen fields.

Explanation:

In the context, my friend Lorenzo wants advice from me regarding career choices. He has somehow researched and narrowed down the choices to two  choices. Lorenzo wants to know more about the major and the skills required for each of the profession.

I would suggest him to interview someone experience person in this field and get insights from him. It will provide Lorenzo a better understanding of the major selection and it will also create a blueprints of the future paths.

How does marketing satisfy your needs as a college student? Are certain aspects of your life influenced more heavily by marketing than others? Provide examples

Answers

Yea dude’s iiiiiiiiiiiiiiiiiiiiiiii

Mary incurred a $20,000 nonbusiness bad debt last year. She also had an $18,000 long-term capital gain last year. Her taxable income for last year was $25,000. During the current year, she unexpectedly collected $12,000 on the debt. How should Mary account for the collection

Answers

Answer: $12000 income.

Explanation:

It should be noted that non business bad debts are regarded as short term capital loss. In the question given, the $18000 long-term capital gain will have to be offset against the bad debt of $20000.

In this case, the tax benefit will be $18000, therefore $12000 will be recognized as the income.

Examples of cash equivalents include all of the following EXCEPT U.S. Treasury bills. notes issued by major corporations. money market funds. long-term notes receivable.

Answers

Answer:

long-term notes receivable.

Explanation:

Cash equivalents can be regarded as total cash value that is available on hand, this encompass items that has similarities with cash and must be regarded as current assets. cash or cash equivalents of a company can be seen at top line of the balance sheet.

Examples of cash equivalents are;

✓Treasury bills

✓notes issued by major corporations. ✓money market funds.

What is finance? The study of a business's past financial decisions The study of how to allocate assets to maximize returns The process of communicating financial information about a business The social science that analyzes the production, distribution and consumption of goods and services

Answers

Answer: The study of how to allocate assets to maximize returns

Explanation:

Finance refers to the study of how to allocate assets to maximize returns. Finance refers to the study, management, and creation of money and investments.

Finance simply explains how economic agents such as the individual, company or government gets money and how such money is being used.

External costs occur because Group of answer choices Private costs do not reflect the full costs to society All costs are absorbed by the firm Firms make a choice other than the most cost-efficient production method Government failure increases costs for the firm

Answers

Answer:

Private costs do not reflect the full costs to society

Explanation:

External costs are costs incurred by third parties not involved in production or consumption activities

external cost can either be negative or positive

A good has negative externality if the costs to third parties not involved in production is greater than the benefits. an example of an activity that generates negative externality is pollution. Pollution can be generated at little or no cost, so they are usually overproduced.

A good has positive externality if the benefits to third parties not involved in production is greater than the cost. an example of an activity that generates positive externality is research and development. Due to the high cost of R & D, they are usually under-produced.

Prepare journal entries to record each of the following four separate issuances of stock.
1. A corporation issued 8,000 shares of $20 par value common stock for $192,000 cash.
2. A corporation issued 4,000 shares of no-par common stock to its promoters in exchange for their efforts, estimated to be worth $58,500. The stock has a $1 per share stated value.
3. A corporation issued 4,000 shares of no-par common stock to its promoters in exchange for their efforts, estimated to be worth $58,500. The stock has no stated value.
4. A corporation issued 2,000 shares of $50 par value preferred stock for $158,500 cash.

Answers

Answer: Please see explanation column for answers

Explanation

1.To record the issue of 8,000 shares of $20 par value.

Account titles and explanation                     Debit                  Credit

Cash Account                                            $192,000

 Common Stock( 8,000 shares x $20)                                   $160,000                                                            $160,000

 Paid-in In Excess of Par                                                           $32,000

2. To record the issue of 4,000 shares of $1 stated value.

Account titles and explanation                     Debit                  Credit

Retained Earnings                                       $4,000

Common Stock                                                                          $4,000

3. To record the issue of 4,000 shares of no stated value.

Account titles and explanation                     Debit                    Credit

Retained Earnings                                    $58,500

Common Stock                                                                           $58,500

4.To record the issue of 2,000 shares of $50   par value.

Account titles and explanation                     Debit                  Credit

Cash                                                              $158,500

Preferred Stock( 2,000 shares x $50)                                      $100,000

Paid-in In Excess of Par                                                              $58,500

Income statement dataSales 6,900Cost of goods sold 6,100Balance sheet dataInventory 680Accounts receivable 300Accounts payable 460Calculate the accounts receivable period accounts payable period, inventory period and cash conversion cycle for the above firm. Use 365 days in a year, do not round intermediate calculations. Round your answers to 1 decimal placea. accounts receivable period _____daysb. account payable period _____daysc. inventory period _____daysd. cash conversion cycle __

Answers

Answer:

a. Accounts receivables period = 365 / (Credit sales/Average accounts receivables)

Accounts receivables period = 365 / (6900/300)

Accounts receivables period = 365 / 23

Accounts receivables period = 15.9 days

b. Accounts payable period = (365/(Cost of goods sold/Accounts payable)  

Accounts payable period = 365 / (6100/460)

Accounts payable period = 365 / 13.26

Accounts payable period = 27.5 days

c. Inventory period = 365 / (Cost of goods sold/Inventory)

Inventory period = 365 / (6100/680)

Inventory period = 365 / 8.97

Inventory period = 40.7 days

d. Cash conversion cycle = Accounts receivables periods + Inventory period - Accounts payable periods

Cash conversion cycle = 40.7 + 15.9 - 27.5

Cash conversion cycle = 29.1 days

For February, sales revenue is $250,000; sales commissions are 6% of sales; the sales manager's salary is $50,000; advertising expenses are $15,000; shipping expenses total 1% of sales; and miscellaneous selling expenses are $1,000 plus 1/2 of 1% of sales. Total selling expenses for the month of February are:_______.
a. $65,000.
b. $69,750.
c. $82,250.
d. $84,750.

Answers

Answer:

d. $84,750.

Explanation:

Calculation to determine what Total selling expenses for the month of February are:

Sales commissions $15,000

($250,000 ×6%)

Sales manager's salary $50,000

Advertising expenses $15,000

Shipping expenses $2,500

($250,000 × 1%)

Miscellaneous selling expense $2,250

[$1,000 + ($250,000 × 0.5%)]

Total selling expenses $84,750

Therefore Total selling expenses for the month of February are:$84,750

A company has a degree of operating leverage of 2.5. If sales increase by 10%, then profits will: Multiple choice question. increase by 25% increase by 10% decrease by 10% decrease by 25%

Answers

Answer:

. increase by 25% increase

Explanation:

The degree of operating leverage (DOL) measures the sensitivity of a company's operating income or profits to changes in the demand

DOL = percentage change in operating income or profits / percentage change in units sold

2.5 = percentage change in operating income / 10%

percentage change in operating income  = 10% x 2.5 = 25%

profits will increase by 25%

When the price of paintings is set at $500, the local art gallery supplies 20 paintings per week. When the price of paintings increases to $750, the gallery supplies 25 paintings. Calculate the price elasticity of supply using the mid-point formula. Instructions: Round your answer to two decimal places. If you are entering a negative number be sure to include a negative sign (-) in front of that number. The price elasticity of supply is: .

Answers

Answer:

the  price elasticity of supply is 0.555

Explanation:

The computation of the price elasticity of supply is given below:

= Percentage change in quantity supplied ÷ percentage change in price

= (25 - 20) ÷ (25 + 20) ÷ 2 ÷ (750 - 500) ÷ (750 + 500) ÷ 2

= 5 ÷45 ÷ 250 ÷ 125

= 0.555

Hence, the  price elasticity of supply is 0.555

The same is relevant

Marigold Industries has 8400 equivalent units of production for both materials and for conversion costs. Total manufacturing costs are $123880. Total materials costs are $97000. How much is the conversion cost per unit?a. $12.37. b. $5.10. c. $29.84.d. $17.47.

Answers

Answer:

Wow that’s a lot of numbers hold up

Explanation:

A materials requisition slip showed that direct materials requested were $58,000 and indirect materials requested were $9,000. The entry to record the transfer of materials from the storeroom is:___________A) Work In Process Inventory 58,000Raw Materials Inventory 58,000B) Direct Materials 58,000Indirect Materials 9,000Work in Process Inventory 67,000C) Manufacturing Overhead 67,000Raw Materials Inventory 67,000D) Work In Process Inventory 58,000Manufacturing Overhead 9,000Raw Materials Inventory 67,000

Answers

Answer:

Work In Process Inventory 58,000Manufacturing Overhead 9,000Raw Materials Inventory 67,000

Explanation:

Account titles and explanation           Debit                    Credit

Work In Process Inventory              $58,000

Manufacturing overhead                    $9,000

Raw Materials Inventory                                                 $67,000

Direct  Materials from the storeroom is recorded as  work in process Inventory and is debited, Also Indirect materials is recorded as manufacturing overheads and debited. This should correspond with a  credit to the  raw material inventory.  

Carter Industries has two divisions: the West Division and the East Division. Information relating to the divisions for the year just ended is as follows: West East Units produced and sold 33,000 43,000 Selling price per unit $ 8 $ 15 Variable costs per unit 4 5 Direct fixed cost 51,000 113,000 Common fixed cost 43,000 43,000 Common fixed expenses have been allocated equally to each of the two divisions. Carter's segment margin for the West Division is:

Answers

Answer:

$81,000

Explanation:

Segment margin is derived by deducting all expenses that are directly traceable to the segment and it does not include corporate common expenses.

Particulars                         Amount

Contribution                       $132,000  [33,000*(8-4)]

Less: Direct fixed cost      ($51,000)

Segment Margin               $81,000

So, Carter's segment margin for the West Division is $81,000.

Use the following information: a. Beginning cash balance on March 1, $72,000. b. Cash receipts from sales, $300,000. c. Budgeted cash payments for direct materials, $140,000. d. Budgeted cash payments for direct labor, $80,000. e. Other budgeted cash expenses, $45,000. Cash repayment of bank loan, $20,000.Prepare a cash budget for the month ended on March 31 for Gado Company. The budget should show expected cash receipts and cash payments for the month of March and the balance expected on March 31.

Answers

Answer:

the budget of the pines is 8 to them b sqare the 4 in you get 12,500

Explanation:

Answer:

no clue

Explanation:

have a good day:)))

Job analysis is important to HR managers because the information gathered in job analysis is used in so many HR activities/functions. Describe how job analysis information is used in four different HR activities/functions. Illustrate by specific examples in hospitality and tourism.

Answers

Answer:

Job analysis in tourism and hospitality include planning, making and providing, lodging recreation and travel related services.

Explanation:

Job analysis is a part of the procedure to identify the contents of the job interms of the acts involved and it provides information to the organization necessary to perform these activities. Procedure involves collecting of information. Being both task and work oriented.

A machine with a cost of $100,000 has an estimated residual value of $8,000 and an estimated life of 7 years or 21,000 hours. What is the amount of depreciation for the second full year, using the double-declining-balance method

Answers

Answer:

$20,408.16

Explanation:

Depreciation expense using the double declining method = Depreciation factor x cost of the asset

Depreciation factor = 2 x (1/useful life) = 2/7

1st year= 2/7 x 100,000 = 28,571.43

book value = 100,000 - 28,571.43 = 71,428.57

2nd year = 2/7 x 71,428.57 = $20,408.16

An effective minimum wage law can be expected to clear the market for unskilled workers. increase employment for some affected workers. increase the number of firms in those industries where the law is effective. reduce the hours worked for some unskilled workers. all of the above

Answers

Answer:

all of the above

Explanation:

The law related to the effective minimum wage could be predicted for non-skilled workers market, it raised the employment for some workers that are impacted, the number of firms should be increased, it decreased the non-skilled workers hours

So all of the above options is correct as it included all

If Company A has a lower debt ratio than Company B, then Company A is likely to have __________ than Company B.
a. a higher level of financial risk
b. a greater ability to borrow
c. more total assets
d. less financial flexibility

Answers

Answer:

b. a greater ability to borrow

Recher Corporation uses part Q89 in one of its products. The company's Accounting Department reports the following costs of producing the 8,900 units of the part that are needed every year.

Per Unit
Direct materials $8.20
Direct labor $4.60
Variable overhead $9.10
Supervisor's salary $3.40
Depreciation of special equipment $2.90
Allocated general overhead $1.60

An outside supplier has offered to make the part and sell it to the company for $28.00 each. If this offer is accepted, the supervisor's salary and all of the variable costs, including direct labor, can be avoided. The special equipment used to make the part was purchased many years ago and has no salvage value or other use. The allocated general overhead represents fixed costs of the entire company. If the outside supplier's offer were accepted, only $4,600 of these allocated general overhead costs would be avoided. In addition, the space used to produce part Q89 could be used to make more of one of the company's other products, generating an additional segment margin of $17,800 per year for that product.

Required:
Prepare a report that shows the financial impact.

Answers

Answer:

Recher Corporation

Differential Analysis:

                                      Make           Buy          Difference

Total variable costs  $225,170    $249,200      ($24,030)

General overhead         4,600                                 4,600

Additional segment margin             (17,800)          17,800

Total costs              $229,770     $231,400          ($1,630)

Recher should continue making the part.  It will incur $1,630 additional cost to buy it from the outside supplier than making it in-house.

Explanation:

a) Data and Calculations:

Annual units of Q89 required = 8,900

                                                          Per Unit

Direct materials                                   $8.20

Direct labor                                         $4.60

Variable overhead                              $9.10

Supervisor's salary                             $3.40

Depreciation of special equipment  $2.90

Allocated general overhead              $1.60

Relevant costs:

Direct materials                                   $8.20

Direct labor                                         $4.60

Variable overhead                              $9.10

Supervisor's salary                             $3.40

Variable costs per unit                    $25.30

Total variable costs                           $225,170 (8,900 * $25.30)

Avoidable general overhead                 4,600

Total avoidable production costs = $229,770

Cost of purchasing from outside supplier = $249,200 (8,900 * $28.00)

less additional segment margin                          17,800

Net avoidable purchase costs                        $231,400

In January, Dieker Company requisitions raw materials for production as follows: Job 1 $970, Job 2 $1,700, Job 3 $790, and general factory use $660. Prepare a summary journal entry to record raw materials used. (Credit account titles are automatically indented when amount is entered. Do not indent manually.)

Answers

Answer:

Dr Work in Process Inventory $3460

Cr Manufacturing Overhead $660

Cr Raw materials Inventory $2,800

Explanation:

Preparation of a summary journal entry to record raw materials used.

Based on the information given the summary journal entry to record raw materials used will be:

Dr Work in Process Inventory $3460

($970+$1700+$790)

Cr Manufacturing Overhead $660

Cr Raw materials Inventory $2,800

($3460-$660)

(To record raw materials used)

A practitioner is engaged to prepare a client's federal income tax return for 20X1 and 20X2. The practitioner files the 20X1 return on the client's behalf and provides copies of the 20X1 return and all related documents to the client. After the 20X2 return is prepared, the client disputes the fees for the 20X2 tax engagement, terminates the relationship, and requests all tax returns and related records. The client has not yet paid for preparation of the 20X2 return. Under IRS Circular No. 230, which records must the practitioner return to the client

Answers

Question Completion with Options:

A.) Notes the practitioner took when meeting with the client about the 20X1 and 20X2 tax returns.

B.) The engagement letter executed by the client for preparation of the 20X2 federal income tax return.

C.) An appraisal the practitioner prepared in connection with the 20X1 federal income tax return.

D.) Schedules the practitioner prepared, which the client needs to file in its 20X2 federal income tax return.

Answer:

Under IRS Circular No. 230, the records the practitioner must return to the client are:

D.) Schedules the practitioner prepared, which the client needs to file in its 20X2 federal income tax return.

Explanation:

Under IRS Circular No. 230, the practitioner must, at the request of a client, promptly return all records to enable the client to comply with his or her Federal tax obligations. However, the practitioner may retain copies of the records returned to the client. This means that the fees dispute does not stop the practitioner from returning records to the client.

Other Questions
We want to factor the following expression: (x 3)^2 14(x 3) 49(x 3) 2 14(x 3) 49(, x, plus, 3, ), squared, plus, 14, (, x, plus, 3, ), plus, 49 We can factor the expression as (U V)^2(U V) 2 (, U, plus, V, ), squared where UUU and VVV are either constant integers or single-variable expressions. 1) What are UUU and VVV HELP PLEASE SO I CAN MOVE ON find the measure of the indicated angle to the nearest degree (A) A triangular glass prism of thickness 12cm is placed on a mark on a piece of paper resting on a horizontal bench. If the refractive index of the material of the prism is 1.5, calculate the apparent displacement of the mark.(B)Water is poured into a jar to a depth of 24cm. The bottom of the jar appears to be raised by 6cm when viewed vertically. Calculate the refractive index of water. 174 multiply by 175 How are growth and development dinstinct from each other 6. Use a one unit multiplier to convert 20 inches to centimeters. 7. Use two unit multipliers to convert 25 feet to centimeters. Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions.Two box plots shown. The top one is labeled Males. Minimum at 0, Q1 at 1, median at 20, Q3 at 25, maximum at 50. The bottom box plot is labeled Females. Minimum at 0, Q1 at 5, median at 6, Q3 at 10, maximum at 18 and a point at 43Part A: Estimate the IQR for the males' data. (2 points)Part B: Estimate the difference between the median values of each data set. (2 points)Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)Part D: Provide a possible reason for the outlier in the data set. (2 points) It is known that the variance of a population equals 1,936. A random sample of 121 has been selected from the population. There is a .95 probability that the sample mean will provide a margin of error of _____. Group of answer choices 31.36 or less 1,936 or less 344.96 or less 7.84 or less How do I find x and y? How did the foreign policies of isolationism and intervention differ? For the equation, determine whether the equation is true for all, some, or no values of x.Explain how you know. In a certain animal species, the probability that a healthy adult female will have no offspring in a given year is 0.24, while the probabilities of 1, 2, 3, or 4 offspring are respectively 0.25, 0.19, 0.17, and 0.15. Find the expected number of offspring. The ( develop) ..... in technology allow astronomers to know more about outer space Question 4 (2 marks)Justin works 14 hours at a normal pay rate of $24.80 per hour and 5 hours of overtime attime and a half. How much should he be paid?I809 wordsLEEnglish (Australia) The mass of an object is 4G and it has a density of 5gm^-3. what is the volume Which of the following statements describes mental disorders? A.Mental disorders are usually only found in individuals with low mental capabilities. B.Mental disorders are best managed without assistance .C.Mental disorders are illnesses that affect a person's emotions, behavior, and thoughts. D.Mental disorders are not true diseases. A Ud le han pedido escrobir un articulo para el periodico de su colegio. Escriba un ensayo de 5 oraciones explicandoles a sus companeros la importancio de comer bien y como evitar problemas de salud Identify the true statements regarding hydrogen bonding. Select all that apply. Group of answer choices Hydrogen bonding occurs when a hydrogen atom is covalently bonded to an N, O, or F atom. Look at image to see question Which amendment was later repealed? A. Seventeenth Amendment B. Eighteenth Amendment C. Fifteenth Amendment D. Sixteenth Amendment