Company expected to incur $9,450 in manufacturing overhead costs and use 4,500 machine hours for the year. Actual manufacturing overhead was $9,400 and the company used 5,050 machine hours.
1. Calculate the predetermined overhead allocation rate using machine hours as the allocation base.
_______ / _________ = Predetermined overhead allocation rate
________/ __________ = ____ per machine hour
2. How much manufacturing overhead was allocated during the? year?
________ x ________ = overhead allocated
________ x _________ = ____________

Answers

Answer 1

Answer:

1.Predetermined overhead allocation rate = $2.10 per Machine Hour

2.Overhead allocated = $10,605

Explanation:

1.   Predetermined overhead allocation rate

using

Estimated manufacturing overhead costs / Estimated Machine Hours = Predetermined overhead allocation rate

=$9,450 / 4,500 Machine Hours = $2.10 per machine hour

Therefore,

Predetermined overhead allocation rate = $2.10 per Machine Hour

2. Manufacturing overhead allocated during the year

Actual Machine Hours Used x Predetermined overhead allocation rate = Overhead allocated

5,050 machine hours x $2.10 per Machine Hour = $10,605

Therefore,

Overhead allocated = $10,605


Related Questions

Replacing obsolete components piece by piece rather than changing the entire product is made possible because of ______.

Answers

Answer:

modular design

Explanation:

Modular design is when the faulty part of a system or process is being repaired in a piecemeal instead of replacing the whole system so that they can be more efficient. These means that the faulty parts are broken into smaller units and then rearranged to a larger unit hence increase efficiency. The idea here is not to replace the whole system but to fix or repair or change the faulty area.

Where modular design is adopted by a firm, there would be improvement and consistency in terms of whatever systems or products a firm might be engaging in.

Suppose one U.S. dollar can purchase a half pound of strawberries in the United States. After converting dollar to pesos, one U.S. dollar can now purchase a full pound of strawberries in Mexico. These values represe:_________.

Answers

Answer:

The answer is:

a real exchange rate

Explanation:

The last word in the question seems to be incomplete, I am assuming that the intended word is "represent".

Real Exchange Rate (RER), also known as Real Effective Exchange Rates (REER) is an exchange rate that compares the relative price of the two countries' consumption baskets (what the average consumer buys and its price indicates how much consumers pay for it). It gives information beyond the nominal exchange rate or the relative prices of two currencies. In this example, the RER between the U.S dollar and the Mexican Pesos is used to determine what the U.S. dollar can buy in Mexico, as compared to what that same amount can buy in the U.S. This helps to tell us if a currency is undervalued or overvalued.

A constraint with a positive slack value will have a positive dual price. will have a negative dual price. will have a dual price of zero. has no restrictions for its dual price.

Answers

Answer:

will have a dual price of zero.

Explanation:

Slack variables are used in linear programming equation where the equation is not balanced and to balance the equation a variable equal to zero is introduced called a slack variable.

The constraint in the slack variable will be zero, where the positive value.

It is never equal to zero, but the value is so low and so near to zero that it is considered to be equal to zero.

On December 12, 2021, Pace Electronics received $25,200 from a customer toward a cash sale of $252,000 of diodes to be completed on January 16, 2022. What journal entries should Pace record on December 12 and January 16

Answers

Answer:

(a) Debit Cash for $25,200; Credit Deferred sales revenue for $25,000.

(b) Debit Cash for $2,26,800; Debit Deferred sales revenue for $25,200; and Credit Sales revenue for $252,000.

Explanation:

(a) What journal entries should Pace record on December 12?

The receipt of part-payment of $25,200 from a customer on December 12, 2021 creates a deferred sales revenue which will appear as under current liabilities. The journal entries that Pace should record on December 12, 2021 will therefore look as follows:

Date                Account Title                            Dr ($)              Cr ($)            

12 Dec '21       Cash                                        25,200

                          Deferred sales revenue                             25,200

                      (To record a deferred sales revenue from diodes.)                  

(b) What journal entries should Pace record on January 16?

On this date, the customer will pay the remaining amount. The amount in the Deferred sales revenue account will now be transferred to the Sales Revenue account and there will be no liability again. The journal entries that Pace should record on January 16, 2022 will therefore look as follows:

Date                Account Title                            Dr ($)                Cr ($)            

16 Jan '22       Cash (w.1)                                 2,26,800

                       Deferred sales revenue             25,200

                          Sales revenue                                                252,000

                      (To record sales revenue from diodes.)                       

Workings:

w.1: Cash = Sales revenue - Deferred sales revenue = $252,000 - $25,200 = $2,26,800

Beaver Company used a predetermined overhead rate last year of $2 per direct labor-hour, based on an estimate of 25,000 direct labor-hours to be worked during the year. Actual costs and activity during the year were:

Answers

The question is incomplete. Here is the complete question

Beaver Company used a predetermined overhead rate last year of $2 per direct labour hour based on an estimate of 25,000 direct labour hours to be worked during the year. Actual costs and activity during the year were:

Actual manufacturing overhead cost incurred = $47,000

Actual direct labour hours worked = 24,000

What was the under- or overapplied overhead last year?

Answer:

1,000 overapplied

Explanation:

Beaver company made use of a predetermined overhead rate last year

$2 per direct labour hour on an estimate of 25,000 direct labour hours

The actual costs during the year is $47,000

The actual direct labour hours was 24,000

Therefore, the over or underapplied for last year can be calculated as follows

= (24,000×2)-47,000

= 48,000-47,000

= 1,000 overapplied

Hence, the overhead last year was 1,000 overapplied

Simon Company's year-end balance sheets follow. Current Yr 1 Yr Ago 2 Yrs Ago At December 31 Assets Cash Accounts receivable, net Merchandise inventory Prepaid expenses Plant assets, net Total assets Liabilities and Equity Accounts payable Long-term notes payable secured by mortgages on plant assets Common stock, $10 par value Retained earnings Total liabilities and equity $ 29,328 83,351 103,760 9,078 257,087 $ 482,604 $ 32,285 $ 34, 323 57,663 45,764 76,967 50, 226 8,737 3,775 240,386 216,112 $ 416,038 $ 350, 200 $ 120,168 $ 70,310 $ 44,840 88,915 162,500 111,021 $ 482,604 96,646 75,072 162,500 162,500 86,582 67, 788 $ 416,038 $ 350, 200 (1-a) Compute the current ratio for each of the three years. (1-b) Did the current ratio improve or worsen over the three year period? (2-a) Compute the acid-test ratio for each of the three years. (2-b) Did the acid-test ratio improve or worsen over the three year period?

Answers

Answer:

1a. Current ratio = Current assets / Current Liabilities

Current year = $224,517 / $120168 = 1.88 : 1

1 years ago = $175,652 / $70,310 = 2.50 : 1

2 years ago =$134,088 / $44,840 = 2.99 : 1

1b. The Current ratio worse over three years period

2a. Acid test ratio = (Cash + Investment + Account Receivables) / Current liabilities

Current year = ($29,328 + $0 + $83,351) / $120,168 = 0.94 : 1

1 year ago = ($32,285 + $0 + $57,663) / $70,310 = 1.28 : 1

2 year ago = ($34,323 + $0 + $45,764) / $44,840 = 1.79 : 1

2b. The Acid test ratio are worse over three years period

A direct participation program shows the following operation results: Revenues: $3 million Operating expense: $1 million Interest expense: $200,000 Management fees: $200,000 Depreciation: $3 million The cash flow from program operation is

Answers

Answer:

The cash flow from program operation is $1,600,000.

Explanation:

Prepare the Cash Flow from Operating Activities Section to determine the cash flow from program operation.

Cash Flow from Operating Activities

Revenue                                                     $3,000,000

Less Expenses :

Operating Expenses           $1,000,000

Interest expense                   $200,000

Management fees                 $200,000

Depreciation                       $3,000,000  ($4,400,000)

Operating Profit / (Loss)                            ($1,400,000)

Add Back Depreciation                             $3,000,000

Operating Cash flow                                  $1,600,000

Torrid Romance Publishers has total receivables of $2,800, which represents 20 days’ sales. Total assets are $73,000. The firm’s operating profit margin is 5.9%. Find the firm's ROA and asset turnover ratio. (Use 365 days in a year. Do not round intermediate calculations. Round your final answers to 2 decimal places.)

Answers

Answer:

ROA=4.13

Asset turnover ratio = 0.70 times

Explanation:

1.Computation for ROA

Using this formula

ROA=Net income/Total assets

First step is to find Day's sales in receivables before calculating for the sales amount

Day's sales in receivables = Numbers of days in a year/Total receivables days sales

Let plug in the formula

Day's sales in receivables = 365 / 20

Day's sales in receivables = 18.25times

Now let find the Sales amount using this formula

Sales= Day's sales in receivables× Total receivables

Let plug in the formula

Sales = 18.25 times × $2,800

Sales=$51,100

Second step is to find the Net income

Using this formula

Net income =Percentage of Operating margin× Sales amount

Let plug in the formula

Net income=5.9%×$51,100

Net income =$3,014.90

Now let find the ROA using this formula

ROA=Net income/Total assets

Let plug in the formula

ROA=$3,014.90/$73,000

ROA=0.0413×100

ROA=4.13%

Therefore ROA will be 4.13%

2. Computation for asset turnover ratio

First step is to calculate for the Receivables turnover

Using this formula

Day's sales in receivables = Numbers of days in a year/Total receivables days sales

Let plug in the formula

Day's sales in receivables = 365 / 20

Day's sales in receivables = 18.25times

Second step is to find the Sales amount using this formula

Sales= Day's sales in receivables× Total receivables

Sales = 18.25 times × $2,800

Sales=$51,100

Now let calculate for the Asset turnover ratio using this formula

Asset turnover ratio = Sales / Total assets

Let plug in the formula

Asset turnover ratio= $51,100 / $73,000

Asset turnover ratio= 0.70 times

Therefore asset turnover ratio will be 0.70 times

A furniture manufacturer specializes in wood tables. The tables sell for $150 and incur $60 in variable costs. The company has $11, 700 in fixed costs per month. The company desires to earn an operating profit of $10, 800 per month. (Abbreviation used; CM = contribution margin.)
1. Calculate the required sales in units to earn the target profit using the equation method.
2. Calculate the required sales in units to earn the target profit using the contribution margin method.
3. Calculate the required sales in dollars to earn the target profit using the contribution margin ratio method.
4. Calculate the required sales in units to break even using the contribution margin method.

Answers

Answer:

1. 250 wood tables

2. 250 wood tables

3. $37,500

4. 130 wood tables

Explanation:

Sales (units) required to earn a target profit = (Fixed Costs + Target Profit) ÷ Contribution per unit

Where,

Contribution per unit = Selling Price per unit - Variable Costs per unit

                                   = $150 - $60

                                   = $90

Therefore,

Sales (units) required to earn a target profit = ($11, 700 +  $10, 800) ÷ $90

                                                                        =  250 wood tables

Contribution Margin Ratio = Contribution / Sales × 100

                                           = $90 / $150 × 100

                                           = 60 %

Sales (dollars) required to earn a target profit = (Fixed Costs + Target Profit) ÷ Contribution Margin Ratio

                                            = ($11, 700 +  $10, 800) ÷ 60%

                                           = $37,500

Sales in Units to Break Even = Fixed Costs ÷ Contribution per unit

                                               = $11, 700 ÷ $90

                                               = 130 wood tables

________ are typically used by companies for specific applications such as data processing and financial transactions.

Answers

Answer:

Mainframe computers

Explanation:

Mainframe computers are typically large in size with large storage space, reliability, and high processing power.

They are usually used by large corporations for data processing applications such as financial transactions, industry statistics, Customer statistics, and enterprise resource planning.

Mainframe computers are different from supercomputers in the aspect of processing power. Supercomputers has have leading edge processing power.

While supercomputers are used to solve scientific and engineering problems, mainframes are mostly used for financial transactions.

You are trying to decide which of two automobiles to buy. The first is American-made, costs $3.0500 x 104, and travels 28.0 miles/gallon of fuel. The second is European-made, costs $4.9100 x 104, and travels 19.0 km/liter of fuel. If fuel costs $3.00/gallon, and other maintenance costs for the two vehicles are identical, how many miles must each vehicle travel in its lifetime for the total costs (puchase cost fuel cost) to be equivalent

Answers

Answer:

Both cars(American and European) must travel 8,060 kilo metres each during their lifetime for the total cost(purchase cost + fuel equivalent) to be equivalent

Explanation:

With regards to the above, the cost equation for both cars will be equated together.

Furthermore, we will convert gallons into litres while also converting miles into kilometers.

Since 1 gallon has 3.785 litres; 1 mile also has 1.609 kilo metre, hence milage of the first car in kilo metre per litre would be ;

Milage American made = [ 28 miles × 1.609 ] / 3.785

= 11.90 kilo meter per litres.

Cost of Gas per litre = $3 per gallon / 3.785

= 0.79 per litre

Gas cost per kilo metre(American made) = 0.79 per litre / 11.90

= 0.066 per km

Gas cost per kilo metre(European made) = 0.79 per litre / 19.0

= 0.042 per km

We can sum up the equation of first car which is American made( Purchase price + Fuel cost)

We can make a be the number of kilo metres where total cost for both cars would be equal.

Total cost = 317.2 + 0.066a

Also, the total cost equation - purchase price + fuel cost of European car is represented as;

Total cost = 510.64 + 0.042a

317.2 + 0.066a = 510.64 + 0.042a

Collect like terms

0.066a - 0.042a = 510.64 - 317.2

0.024a = 193.44

a = 8,060 kilo metres

Therefore, both cars(American and European) must travel each 8,060 kilo metres in their life time for the total costs( purchase cost + fuel cost) to be equivalent.

Suppose in year 1 the CPI is 90, in year 2 the CPI is 100, and in year 3 the CPI is 110. Then, inflation is

Answers

Answer: E) Both answers B and D are correct.

Explanation:

Inflation using the Consumer Price Index is calculated by;

= (CPI in current year - CPI in previous year) / CPI in previous year

Year 2 Inflation = (100 - 90) / 90

= 11%

Year 3 Inflation = (110 - 100) / 100

= 10%

What is the process of applying safeguards to avoid a negative impact? risk mitigation risk transfer risk analysis risk avoidance

Answers

Answer: risk avoidance

Explanation:

Risk avoidance is simply defined as the process by which safeguards are applied in order to avoid a negative impact. It should be noted that a risk avoidance strategy helps to eliminate all risk and organizations apply safeguards to both potential threats and vulnerabilities.

Risk avoidance helps to remove hazards, and the activities that'll have a negative impact on the business.

What role has venture capitalism played in the market place?

Answers

Answer:

The summary of the matter in question is mentioned throughout the subsection below.

Explanation:

Venture Capital seems to be an age-old term although in previous centuries this same industry has changed.A venture capitalist plays a very important role throughout organizing early-stage investment, attracting top management abilities candidates, promising technological start-ups, and innovative product manufacturer's professional assistance as well as other support facilities.

Evo's owner states that ecommerce is too transaction-oriented and fails to establish emotional connections between consumers and brands. This critique suggests that the Web is ineffective at delivering:

Answers

Answer: Services to consumers.

Explanation:

The physical store is more beneficial to meet the needs of the customers to obtain the sports gear. The store is more effective in maintaining the relationship quality between consumers and Evo. Utilitarian values are maintained by shopping at the physical store instead of shopping online. Thus, e-commerce or web-based business proved to be ineffective at delivering services to consumers.

Economics is defined as:______.a. the study of how individuals, businesses, and societies make decisions to maximize their well-being given limited resources.b. the study of the fundamental nature of problems, such as those connected to reality and existence.c. the study of human culture and its evolution over time around different regions across the world.d. study of how individuals and society use unlimited resources to fulfill their needs and wants.

Answers

Answer:

d. study of how individuals and society use unlimited resources to fulfill their needs and wants.

Explanation:

Lionel Robbins defines economics as the science which studies human behavior as a relationship between given ends and scarce means which have alternative uses.

Adam Smith defined economics as “an inquiry into the nature and causes of the wealth of nations.”

When a company holds stock of several different corporations, the group of securities is identified as a(n)

Answers

Complete Question:

When a company holds stock of several different corporations, the group of securities is identified as a(n)?

Group of answer choices

a) investment portfolio

b) controlling interest

c) consolidated portfolio

d) affiliated investment

Answer:

a) investment portfolio.

Explanation:

When a company such as a hedge fund, investment company etc, holds stock of several different corporations, the group of securities is identified as an investment portfolio.

An investment portfolio could comprise of cash and cash equivalents, stocks, commodities, bonds, currencies, real estate investment trusts (REITs) and other financial assets such as exchange-traded funds (ETFs) and mutual funds used by an investor to earn profits while ensuring they're well preserved.

Ash is the preferred wood to be used in the production of baseball bats. If a company was to buy the rights to harvesting the ash trees out of all the forests in North America, which of the following barriers of entry has this company created?
A. problems raising capital
B. patents and copyright law
C. control of resources
D. economies of scale
E. licensing

Answers

Answer:

C. control of resources

You would like to have enough money saved after your retirement such that you and your heirs can receive $100,000 per year in perpetuity. How much would you need to have saved at the time of your retirement in order to achieve this goal

Answers

The question is incomplete. The complete question is stated below,

You would like to have enough money saved after your retirement such that you and your heirs can receive $100,000 per year in perpetuity. How much would you need to have saved at the time of your retirement in order to achieve this goal? (Assume that the perpetuity payments start one year after the date of your retirement. The annual interest rate is 12.5 percent.)

Answer:

At the time of retirement, the amount that needs to be saved for this perpetuity should be $800000

Explanation:

A perpetuity is a series of constant cash flows that occur after equal intervals of time for an indefinite time period. Thus, it is a series of perpetual cash flows. To calculate the amount that need to be saved at the time of retirement to receive a perpetuity of $100000 per year starting from one year after the retirement, we need to calculate the present value of the perpetuity. The formula for the present value of the perpetuity is,

Present value of perpetuity = CF / r

Where,

CF is cash flow or constant payment by perpetuityr is the required rate or return or the interest rate

Present value of perpetuity = 100000 / 0.125

Present value of perpetuity = $800000

Holding other factors constant, if bad weather destroys the annual crop for carrots, it causes the supply curve for carrots to

Answers

Options:

a. Shift to the left, causing the prices of carrots to rise

b. Shift to the left, causing the prices of carrots to fall

c. Stay the same

d. The supply curve does not shift. Only the demand curve shifts.

Answer:

a. Shift to the left, causing the prices of carrots to rise

Explanation:

Indeed, going by the law of supply and holding all other factors constant, we would expect the supply curve to shift to the left, which implies that there would be an increase in the price of carrots.

What this means is that because there are now fewer carrots in the market as a result of the effects of the bad weather, there would be scarcity and so sellers would increase prices.

Which of the following statement about working capital management are TRUE?
A) Lengthening payment terms with suppliers reduces financing needs
B) Shorter payment terms for customers increase net working capital
C) Decrease in inventories increases working capital
D) Identical decrease in customer and supplier payment terms does not alter net working capital Back Next

Answers

Answer:

C and D

Explanation:

The answers from the options are:

1. Decrease in inventories increases working capital

2. Identical decrease in customer and supplier payment terms does not alter net working capital.

Working capital management is a type of strategy used in business to make sure that a company runs efficiently by using it's current assets and liabilities effectively as well as monitoring them

Bob reviews an income statement that includes percentages of how each item relates to sales. What kind of financial analysis is this?

Answers

Answer:

Common Size Analysis

Explanation:

In a common size, Statement of Comprehensive Income, sales revenue is expressed as 100% and every other item is expressed as a percentage of sales revenue.

With reference to the job characteristics model, which of the following defines task identity?a. the degree to which a job requires completion of a whole and identifiable piece of work.b. the degree to which work activities generate direct and clear information about performance.c. the degree to which a job provides the worker freedom in scheduling and procedured. the degree to which a job has an impact on the lives or work of other peopleE) the degree to which a job requires a variety of different activities

Answers

Answer:

a. The degree to which a job requires completion of a whole and identifiable piece of work

Explanation:

According to job characteristics model, what motivates an employee to be productive is the task he or she is asked to perform. Ideally, when a task is somewhat challenging, such would motivate the worker to exert his or her energy hence perform well on the task whereas a non challenging task wears down an employee's performance.

The model states that there are five core job characteristics that would show how a job is likely to affect the behaviors and attitude of employees. They are task identity, task variety, feedback, autonomy and task significance.

Therefore, according to the model, task identity is the degree to which a job requires completion of a whole and identifiable piece of work.

Vision statements are used to create a better understanding of the overall purpose and direction of the organization. Vision statements:
a. are very specific
b. provide specific objectives
c. set organizational structure
d. evoke powerful and compelling mental images

Answers

Answer:

d. evoke powerful and compelling mental images

Explanation:

The organizational vision is used so that companies have as aspirations to achieve their objectives and goals that will help companies to reach a desired place that helps the company to expand and obtain new achievements.

Therefore, when making a vision statement, companies combine powerful and attractive mental images to attest to goals that generate value for stakeholders, causing greater identification with an inspiring vision where there are development plans not only for their businesses, but for company in which the company operates eg.

For a two-stock portfolio, what would be the preferred correlation coefficient between the two stocks?

Answers

Answer:

-1

Explanation:

The correlation coefficient can range from -1 to 1. It measures how one stock (or security) reacts to any change in the price of performance of another stock (or security). When the correlation is -1, it means that there is no relationship between how the stocks will perform, i.e. they are completely uncorrelated.

Under the provisions of the Uniform Securities Act, an investment adviser's registration becomes effective:

Answers

Answer:

when the administrator so orders

Explanation:

Under this act the registration becomes effective when the administrator so orders. The administrator of the investment advisors association is responsible for reviewing the registration, making sure that all the information is legal, and also making sure that it meets all the required qualifications before approving it. Once this is done, it then becomes effective.

If the marginal propensity to consume is 0.30 , what is the multiplier, assuming there are no taxes or imports

Answers

Answer:

Multiplier or k = 1.428571429 rounded off to 1.43

Explanation:

A change in consumer income leading to an increased consumer spending based on the Marginal propensity to consume or MPC can have a much larger effect in the economy due to the multiplier. A multiplier is the is the amount of new income that is generated form an addition of extra income.

The marginal propensity to consume or MPC is the percentage of the additional income that will be used for consumption spending. The formula to calculate the multiplier, also denoted as k, is:

k = 1 / (1 - MPC)

k = 1 / (1 - 0.3)

k = 1.428571429 rounded off to 1.43

What arguments could you provide to convince top management to support the establishment of a safety program?

Answers

Explanation:

A safety training program could be insightful and maybe even provide lifesaving information to employees of a company. Tell management about the following advantages;

1. The Safety program increases the company's reputation: For example, the company may attract the best professionals in the industry because they are impressed by the company's safety program.

2. It benefits the company financially: For example, it will save the company money when there less injured employees since there will be no need to spend on a replacement.

Size of Tax Shield. Roxy Broadcasting was originally an all-equity firm with a before-tax value of $10,000,000. Determine the size of the tax shield with a corporate tax rate of 16%, 20%, 35%, and 48% if Roxy's capital structure is 40 / 60 debt to equity Determine the same if the capital structure is 60/ 40.
1. If Roxy's capital structure is 4060 debt to equity, what is the size of the tax shield with a corporate tax rate of 16%? (Round to the nearest dollar.)
2. If Roxy's capital structure is 4060 debt to equity, what is the size of the tax shield with a corporate tax rate of 20%? $ (Round to the nearest dollar.)
3. If Roxy's capital structure is 40/60 debt to equity, what is the size of the tax shield with a corporate tax rate of 35%? (Round to the nearest dollar.)
4. If Roxy's capital structure is 4060 debt to equity, what is the size of the tax shield with a corporate tax rate of 48%?
5. If Roxy's capital structure is 60/40 debt to equity, what is the size of the tax shield with a corporate tax rate of 16%?
6. If Roxy's capital structure is 60 40 debt to equity, what is the size of the tax shield with a corporate tax rate of 20%? (Round to the nearest dollar.)
7. If Roxy's capital structure is 60/40 debt to equity, what is the size of the tax shield with a corporate tax rate of 35%? (Round to the nearest dollar.)
8. If Roxy's capital structure is 60 40 debt to equity, what is the size of the tax shield with a corporate tax rate of 48%? (Round to the nearest dollar.)

Answers

i will get to work on your questions right now!

In fund A, $100,000 accumulates at an annual nominal rate of interest j compounded semiannually to $130,666.52 in 4 years. In fund B, $100,000 accumulates at an annual nominal rate of discount k compounded quarterly to $154,531.82 in 5 years. In fund C, $100,000 accumulates at an annual effective rate of interest j in year one and an annual effective rate of interest k in year 2. What is the balance in fund C at the end of year 2?

Answers

Answer:

at the end of year 2, the balance of fund C = $116,639.23

Explanation:

to determine the nominal semiannual interest rate j we can use the future value formula:

$130,666.52 = $100,000 x (1 + j)⁸

(1 + j)⁸ = $130,666.52 / $100,000 = 1.3066652

⁸√(1 + j)⁸ = ⁸√1.3066652

1 + j = 1.034000004

j = 0.034000004

effective annual interest j = (1 + 0.034000004)² - 1 = 0.069156 = 6.9156%

to determine the nominal quarterly interest rate k we can use the future value formula:

$154,531.82 = $100,000 x (1 + k)²⁰

(1 + k)²⁰ = $154,531.82 / $100,000 = 1.5453182

²⁰√(1 + k)²⁰ = ²⁰√1.5453182

1 + k = 1.022

k = 0.022

effective annual interest k = (1 + 0.022)⁴ - 1 = 0.090946828 = 9.094682805%

at the end of year 1, the balance of fund C = $100,000 x (1 + 6.9156%) = $106,915.60

at the end of year 2, the balance of fund C = $106,915.60 x (1 + 9.094682805%) = $116,639.23

Other Questions
100 POINTS !!describe the transformation f(x)=9 a. translation 8 units right b. none. c. translation 8 units up. d. translation 8 units down. e. translation 8 units left. What does it mean to live in a republic? Which of the three predominant equations for friction loss in fluid flow can be used only for water and is primarily used for open-channel (gravity) flow? A. Darcy-Weisbach B. Manning C. Hazen-Williams D. All of the above PLZ ANSWER FAST!! CORRECT ANSWER GETS BRAINLIEST!! Dr. Malani Mackey, works for a pharmaceutical company developing a drug for treating skin cancer. This particular drug requires her to make a mixture of L-histidine, polysorbate 80, and sucrose that must heated and swirled to mix. Which of the following types of glassware will she used for making this mixture? Justify your answer. When doing your research on a topic, including research on a work of literature, you can cite fromand include in your Works Cited which among the following: A) an interview that you conducted with the source.B) an email messageC) a blog siteD) a classroom lectureE) all of the above 1 example of Deionization Identify a true statement about planning. a. It involves deciding where decisions will be made. b. It is the process of monitoring progress toward goal achievement. c. It involves inspiring and motivating workers to work hard to achieve organizational goals. d. It encourages employees to engage in behaviors directly related to goal accomplishment. What did the Ordinances of 1785 and 1787 do? Can someone help me with this question please if y varies directly with x and y = -12 when x = 6 find x when y = -4 A -2 B 3 C -3 D 2 Find the domain of the function. (Enter your answer using interval notation.) The table shows the distance y (in miles) that you travel on a road in x minutes. What type of function best models the data?Time (minutes), xDistance (miles), y002015403060458060constant functionlinear functionabsolute value functionquadratic function A group of places in the same area that share a characteristic form a: According to the Ending Inventory Report, how would you calculate the cost of Sales? Ending Inventory Report Administrative Salaries $ 100,000Amortization Expense $ 20,000 Beginning Inventory $ 75,000 Ending Inventory $ 60,000Office Supplies Expense $ 25,000 Purchases $ 125,000Travel & Entertainment Expense $ 5,000 A) 575,000 + 125,000 - 560,000 B) 5125,000 - 520,000 C) 575,000 + 125,000 - 560,000 + 520,000 D) 575,000 - 560,000 E) 575,000 + 125,000 - 560,000 - 520,000 what is a climactic statement? The value of y is directly proportional tothe value of x. If y = 84 when x = 16, whatis the value of y when x = 75? question 1 parent functions graph Why is digital data, at the base level in computers, represented in binary? * 10 points 0's and 1's are the easiest numbers to deal with mathematically. Using decimal or hexadecimal instead would change the meaning of the underlying data. A system with only 2 states is the most efficient way to organize data in a computer. Because other number systems do not allow you to represent both numbers and letters. The average temperature in a northern Canadian city is 1 degree Fahrenheit. The actual temperature in January differs by 10 degrees. (use x as the variable |x(+or-)#|=# | -------- | = ----------