Answer:
Results are below.
Explanation:
Giving the following information:
Selling price= $140
Unitary variable cost= $70
Fixed cost= $31,600
To calculate the number of units to be sold to obtain a profit of $8,300, we need to use the following formula:
Break-even point in units= (fixed costs + desired profit) / contribution margin per unit
Break-even point in units= (31,600 + 8,300) / (140 - 70)
Break-even point in units= 570
Now, the dollar sales for $10,000 profit:
Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio
Break-even point (dollars)= (31,600 + 10,000) / (70/140)
Break-even point (dollars)= $83,200
Journalize the six December 31 adjusting entries for Cole Designs that adjusted the accounts to arrive at the financial statements in the Adjusted Financial Statements panel. Refer to the Chart of Accounts for exact wording of account titles. Journalize each adjustment as a separate entry.
Cole Designs
Income Statement
For the Year Ended December 31, 2018
Fees earned $77,000.00
Expenses:
Wages expense $47,200.00
Supplies expense 3,515.00
Insurance expense 2,900.00
Depreciation expense 2,000.00
Total expenses 55,615.00
Net income $21,385.00
CHART OF ACCOUNTS
Cole Designs
General Ledger
ASSETS
Cash
Accounts Receivable
Supplies
Prepaid Insurance
Equipment
Accumulated Depreciation-Equipment
LIABILITIES
Wages Payable
Unearned Fees
EQUITY
Ann Cole, Capital
Ann Cole, Drawing
REVENUE
Fees Earned
EXPENSES
Wages Expense
Supplies Expense
Insurance Expense
Depreciation Expense
Answer:
1- Accounts Receivable (Dr.) $500
Fees Earned (Cr.) $500
2- Unearned Fees (Dr.) $4,500
Accounts Receivable (Cr.) $4,500
3- Insurance Expense (Dr.) $1,600
Prepaid Insurance (Cr.) $1,600
4- Depreciation Expense (Dr.) $1,700
Accumulated Depreciation (Cr.) $ 1,700
5- Office Supplies Expense (Dr.) $3,530
Office Supplies (Cr.) $3,530
6- Wages Expense (Dr.) $1,850
Wages Payable (Cr.) $1,850
Explanation:
Adjusting entries are prepared at the month end to adjust the transaction which occur after the recording or if there is any change in already recorded transaction. The liabilities and assets accounts are adjusted at the month end to reflect true expense or liability.
U.S. manufacturing company operating a subsidiary in an LDC (less-developed country) shows the following results: U.S. LDC Sales (units) 98,000 19,980 Labor (hours) 20,600 15,600 Raw materials (currency) $ 19,950 19,750 (FC) Capital equipment (hours) 59,250 5,600 *Foreign Currency unit a. Calculate partial labor and capital productivity figures for the parent and subsidiary. (Round your answers to 2 decimal places.) b. Compute the multifactor productivity figures for labor and capital together. (Round your answers to 2 decimal places.) c. Calculate raw material productivity figures (units/$ where $1
Answer:
a. Productivity = Sales /Labour Hour
U.S
Productivity = 98000 units/20600 hours
Productivity = 4.76
LDC
Productivity = 19980 units/15600 hours
Productivity = 1.28
Capital Productivity = Sales / Capital Equipment (Hours)
U.S
Capital Productivity = 98000 units/59250 hours
Capital Productivity = 1.65
LDC
Capital Productivity = 19980 units/5600 hours
Capital Productivity = 3.57
b. Multi-factor Productivity = Total Output (Sales) / (Labour Hours + Capital Equipment Hours)
U.S
Multi-factor Productivity = 98000 units/(20600+59250)
Multi-factor Productivity = 98000 units / 79850 hours
Multi-factor Productivity = 1.23
LDC
Multi-factor Productivity = 19980 units / (15600+5600)
Multi-factor Productivity = 19980 units / 21200 hours
Multi-factor Productivity = 0.94
c. Raw Material Productivity = Sales / Raw Materials Currency
U.S
Raw Material Productivity = 98000 units/$19950
Raw Material Productivity = 4.91
LDC
Raw Material Productivity = 19980 units / (19750 /10)
Raw Material Productivity = 19980 units / $1975
Raw Material Productivity = 10.12
The Molding Department of Sunland Company has the following production data: beginning work in process 25200 units (70% complete), started into production 474000 units, completed and transferred out 449700 units, and ending work in process 49500 units (30% complete). Assuming all materials are entered at the beginning of the process, equivalent units of production for materials are:____.
a. 459150.
b. 499200.
c. 464550.
d. 449700.
Answer:
b. 499200
Explanation:
Calculation to determine what the equivalent units of production for materials are:
Using this formula
Equivalent units of production for materials=Completed and transferred out units+ Ending work in process units
Let plug in the formula
Equivalent units of production for materials=449700units+ 49500units
Equivalent units of production for materials=499200
Therefore Assuming all materials are entered at the beginning of the process, equivalent units of production for materials are:499200
When a perfectly competitive firm decides to shut down, Group of answer choices marginal cost is above average variable cost.
Answer:
price is below average variable cost
Explanation:
A perfect competition is characterized by many buyers and sellers of homogenous goods and services. Market prices are set by the forces of demand and supply. There are no barriers to entry or exit of firms into the industry.
In the long run, firms earn zero economic profit. If in the short run firms are earning economic profit, in the long run firms would enter into the industry. This would drive economic profit to zero.
Also, if in the short run, firms are earning economic loss, in the long run, firms would exit the industry until economic profit falls to zero.
firms should shutdown when price is less than average variable cost and exit when price is less than average total cost
A seller uses a periodic inventory system, and on April 4, it sells $5,000 in merchandise on credit (when its cost is $2,400) to a customer on credit terms of 3/10, n/30. On April 5, the customer returns merchandise for a cash refund of $500.
Required:
Complete the seller's necessary journal entry.
Answer:
Periodic Inventory System
Journal Entries
April 4 Debit Accounts receivable $5,000
Credit Sales revenue $5,000
To record the sale of goods on credit, terms of 3/10, n/30.
April 5 Debit Sales returns $500
Credit Accounts receivable (cash) $500
To record the return of goods for a cash refund.
Explanation:
a) Data and Analysis:
April 4 Accounts receivable $5,000 Sales revenue $5,000 credit terms of 3/10, n/30.
April 5 Sales returns $500 Accounts receivable (cash) $500
b) The seller uses a periodic inventory system. Therefore, the cost of goods sold will not be recorded on April 4 until April 30, when there will be a physical count of inventory to determine the closing inventory. With the beginning and ending inventories together with the purchases account, the cost of goods sold can then be calculated.
A patent gives the inventor Multiple Choice property rights for 10 years. the right to keep the patented process but not the product for five years. the right to use the invention until development costs are recouped. exclusive right to manufacture, exploit, use, and sell the invention for a given time period.
Answer:
Explanation:
famoys
Mystery, Inc. is contemplating selling bonds. The issue is to be composed of 800 bonds, each with a face amount of $750. How much is Mystery, Inc. able to borrow (in total) if each bond is sold at 95% of par
Answer:
$570,000
Explanation:
Calculation to determine How much is Mystery, Inc. able to borrow (in total) if each bond is sold at 95% of par
Using this formula
Total Amount borrowed=Bonds*Face value*95% of par
Let plug in the formula
Total Amount borrowed=800*$750*0.95
Total Amount borrowed=$570,000
Therefore the amount the Mystery, Inc. will be able to borrow (in total) if each bond is sold at 95% of par is $570,000
The chart shows the lowest price of the Microsoft stock over the last year and the highest price. If you had purchased the stock at the low point and sold it as the high point, what percent increase (to the nearest whole percent) in the price of the stock would you have experienced
Answer:
The percent increase (to the nearest whole percent) in the price of the stock you would have experienced is 34%.
Explanation:
Note: This question is not complete as the Chart is not included. To complete the question, the chart is therefore provided before answering the question. See the attached image for the chart.
The explanation of the answer is now provided as follows:
From the chart, we can identify the following:
52 week range 55.61 - 74.42
The above implies that:
The low point = 55.61
The high point = 74.42
Therefore, we have:
Percent increase in the price of the stock = ((The high point - The low point) / The low point) * 100 = ((74.42 - 55.61) / 55.61) * 100 = 34%
Therefore, the percent increase (to the nearest whole percent) in the price of the stock you would have experienced is 34%.
Sommers Co.'s bonds currently sell for $1,080 and have a par value of $1,000. They pay a $100 annual coupon and have a 15-year maturity, but they can be called in 5 years at $1,125. What is their yield to maturity (YTM)
Answer:
9.01%
Explanation:
Calculation to determine their yield to maturity (YTM)
We would be using financial calculation to determine their yield to maturity (YTM)
N =15 years
PV=$1,080
PMT=$100
FV=$1,000
Hence,
I/YR=YTM=9.01%
Therefore their yield to maturity (YTM) is 9.01%
roles of competition policy authorities in south Africa
Answer:
I hope you understand please follow me
On January 2013, Pennington Bancorp acquired $100,000 of marketable securities and classified them as Available for Sale. On March 31, 2013, Pennington prepared its 10-Q and marked the securities down to their market value of $85,000. On April 4, 2013, Pennington sold the securities for $93,000 cash. Which of the following items would be increased by the sale of the marketable securities?
a. Cash from Financing Activities
b. Net Income
c. Marketable Securities
d. Accumulated Other Comprehensive Income
e. Cash from Investing Activities
Answer:
b. Net Income
e. Cash from Investing Activities
Explanation:
Calculation to determine Which of the following items would be increased by the sale of the marketable securities
Using this formula
Gain from investment = Selling price of the security - Value of the security
Let plug in the formula
Gain from investment= $93,000 - $85,000
Gain from investment= $8,000
Based on the above calculation The sell of marketable security will INCREASE CASH which means that CASH FROM INVESTING ACTIVITIES will increase and NET INCOME will increase.
Therefore the items that would be increased by the sale of the marketable securities are :
b. Net Income
e. Cash from Investing Activities
Phil Morris holds an executive position at The Martin Group. Phil has improved the quality of the data gathered by the organization and has also created a model to decrease the cost of managing data while increasing the value of the data gathered. Based on this description, what position does Phil hold at The Martin Group
Answer:
chief data officer (CDO)
Explanation:
A chief data officer is a person in an organisation that uses information as an asset through various practices like analysis, data processing, data mining, or information trading.
He is responsible for data governance within an organisation.
Valuable insights that will be profitable to the organisation are made by the Chief Data Officer.
In the given instance Phil has improved the quality of the data gathered by the organization and has also created a model to decrease the cost of managing data while increasing the value of the data gathered.
Perggy's Bakes, a bakery in New Orleans that exclusively sells its confectionery products online, makes its products only when it receives an order. The bakery produces the products as per the order and delivers to the customer's homes. It does not produce any excess products. In the given scenario, the price associated with the demand and supply of the products at Perggy's Bakes reflects the _____. a. equilibrium price b. skimmed price c. grounded price d. parity price
Answer:
A)equilibrium price
Explanation:
From the question we are informed about Perggy's Bakes, a bakery in New Orleans that exclusively sells its confectionery products online, makes its products only when it receives an order. The bakery produces the products as per the order and delivers to the customer's homes. It does not produce any excess products. In the given scenario, the price associated with the demand and supply of the products at Perggy's Bakes reflects the equilibrium price. The equilibrium price can be reffered to as only price in which both desires of consumers and that of producers agree, this can be explained as a situation where by quantity demanded is been equal to quantity supplied. The theory stressed that movement of market tends toward this price, it can also be regarded as "market-clearing price"
Janitor Supply produces an industrial cleaning powder that requires 50 grams of material at $0.40 per gram and 0.15 direct labor hours at $14.00 per hour. Overhead is applied at the rate of $18 per direct labor hour. What is the total standard cost for one unit of product that would appear on a standard cost card?
a. $7.00.
b. $8.50.
c. $11.50.
d. $7.50.
e. $25.00.
Answer:
e. $25
Explanation:
Given the above information,
The first step is to calculate the cost of direct materials
Cost of direct materials = Material × Per gram rate
= 50 × $0.40
= $20
The next step is to compute the direct labor cost
Direct labor cost
= Direct labor rate × Direct labor hours
= $14 × 0.15
= $2.1
Then,
Overhead per unit cost = Overhead labor cost × labor hours
= $18 × 0.15
= $2.7
Now, add up the above costs
Total standard cost for one unit = $20 + $2.1 + $2.7
= $24.8
= $25
The College Bookstore sells a unique calculator to college students. The demand for this calculator is constant at 20 units per day. The lead time for this calculator is variable at an average of 9 days with a standard deviation of 2 days. Compute the statistical reorder point that results in a 95 percent in-stock probability. Choose the closest answer.
a. 182 units
b. 226 units
c. 246 units
d. 26 units
e. 46 units
Answer:
c. 246 units
Explanation:
Daily demand, d = 20 units
Service Level = 95 % = 0.95. Z (according to Standardized Normal Curve) = 1.65
Average Lead Time, LT-bar = 9 days
Standard deviation of Lead Time, σLT = 2 days
Reorder Point = Expected Demand during Lead time + Safety Stock
Reorder Point = d*LT-bar + z*d*σLT
Reorder Point = (20*9) + (1.65*20*2)
Reorder Point = 180 + 66
Reorder Point = 246 units
Albatross Company purchased a piece of machinery for $60,000 on January 1, 2019, and has been depreciating the machine using the double-declining-balance method based on a five-year estimated useful life and no salvage value. On January 1, 2021, Albatross decided to switch to the straight-line method of depreciation. The salvage value is still zero and the estimated useful life did not change. Ignore income taxes.
Required:
a. What type of accounting change is this, and how should it be handled?
b. Prepare the journal entry to record depreciation for 2017. Show all calculations clearly.
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Answer:
Currently, the income statement for company reflects a total period cost for depreciation of $7,876,000
The division of labor is another word for Group of answer choices specialization. taxes. expanding markets. efficiency.g
Heinz Company began operations on January 1, 2020, and uses the FIFO method in costing its raw material inventory. Management is contemplating a change to the LIFO method and is interested in determining what effect such a change will have on net income. Accordingly, the following information has been developed:
Final Inventory
2017 2018
FIFO $640,000 $712,000
LIFO $560,000 $636,000
Net Income
(computed under the FIFO method) $980,000 $1,030,000
Based on the above information, a change to the LIFO method in 2020 would result in net income for 2018 of ________.
a. $1,070,000
b. $1,030,000
c. $954,000
d. $950,000
Answer: $954,000
Explanation:
Thw difference in the final inventory between the FIFO and the LIFO method in 2018 will be:
= $712,000 - $636,000
= $76,000
Then, based on the above information, a change to the LIFO method in 2018 would result in net income for 2018 of:
Net income as per FIFO = $1,030,000
Less: Decrease in income = $76,000
Net income as per LIFO = $954,000
You purchased a stock at the end of last year at a price of $92. At the end of this year, the stock pays a dividend of $1.60 and you sell the stock for $106. What is your return for the year? Now suppose that dividends are taxed at 15 percent and long-term capital gains (over 11 months) are taxed at 30 percent. What is your aftertax return for the year? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)
Answer:
1.69
hope it helps
Explanation:
You managed a risky portfolio with an expected rate of return of 28% and a standard deviation of 78%. The T-bill rate is 5%. Your client stipulates that the complete portfolio's standard deviation should be less than 12%. What proportion of your client's total investment should be invested in the risky portfolio
Answer:
Portfolio standard deviation = Weight in Risky portfolio * Standard deviation of Risky portfolio
12% = Weight in risky Portfolio * 78%
Weight in risky Portfolio = 12% / 78%
Weight in risky Portfolio = 0.1538
Weight in risky Portfolio = 15.38%
Stock Weight Return Weighted Return
Risky portfolio 0.1538 28.00% 4.31%
Risk free Asset 0.8462 5.00% 4.23%
Portfolio Return 8.54%
Megan Corp. recognizes revenue over time to account for long-term contracts. At the date the contract is signed, the price is $600,000 and the expected costs to complete the contract are $400,000. The following information is available:
Year 1 Year 2 Year 3 Costs incurred to date $200,000 $350,000 $500,000 Estimated costs to complete 200,000 150,000 0 Progress billings 200,000 200,000 200.000
What is the amount of gross profit or loss that is recognized in year 2?
a. $30,000 loss
b. $40,000 gross profit
c. $150,000 loss
d. $200,000 gross profit
Answer:
a. $30,000 loss
Explanation:
Calculation to determine What is the amount of gross profit or loss that is recognized in year 2
First step is to calculate the Year 1 Cost to cost ratio using this formula
Year 1 Cost to cost ratio = 200,000 / ( Costs incurred + Cost to complete)
Let plug in the formula
Year 1 Cost to cost ratio= 200,000 / (200,000 + 200,000)
Year 1 Cost to cost ratio= 50%
Second step is to calculate the Gross profit or loss using this formula
Gross profit/Loss = 50% * ( Price - estimated cost to complete)
Let plug in the formula
Gross profit/Loss= 50% ( 600,000 - 400,000)
Gross profit/Loss= $100,000
Third step is to calculate the Year 2 Cost to cost ratio
Using this formula
Year 2 Cost to cost ratio = 350,000 / ( Costs incurred + Cost to complete)
Let plug in the formula
Year 2 Cost to cost ratio = 350,000 / (350,000 + 150,000)
Year 2 Cost to cost ratio = 350,000 / 500,000
Year 2 Cost to cost ratio = 70%
Now let calculate the gross profit or loss using this formula
Gross profit = 70% * ( Price - estimated cost to complete) - Previous Gross
Let plug in the formula
Gross profit= 70% ( 500,000 - 400,000) - 100,000
Gross profit= -$30,000
Gross Loss of $30,000 in Year 2
Both corrective taxes and tradable pollution permits reduce the cost of environmental protection and thus should increase the public's demand for a clean environment. b. Both corrective taxes and tradable pollution permits provide market-based incentives for firms to reduce pollution. c. Tradable pollution permits have an advantage over corrective taxes if the government is uncertain as to the optimal size of the tax necessary to reduce pollution to a specific level. d. Corrective taxes set the maximum quantity of pollution, whereas tradable pollution permits fix the price of pollution.
Answer:
d. Corrective taxes set the maximum quantity of pollution, whereas tradable pollution permits fix the price of pollution.
Explanation:
The government applied the alternatives for the policy in order to control the pollution problem
here following two vital policy alternatives i.e.
1. Corrective taxes
2. Permits of Tradable pollution
The corrective taxes impose the per unit tax with regard to the pollution i.e. emitted. Also it fixed the pollution price
Here there is a permit of the tradable pollution that could set the pollution limit i.e. maximum. On the other hand, the firm could emit the pollution till the quantity mentioned by the permit of the tradable permit
So, the option d should be considered
Ethelbert is a young software company owned by two entrepreneurs. It currently needs to raise $1,254,400 to support its expansion plans. A venture capitalist is prepared to provide the cash in return for a 40% holding in the company. Under the plans for the investment, the VC will hold 19,600 shares in the company and the two entrepreneurs will have combined holdings of 29,400 shares.
a. What is the total after-the-money valuation of the firm?
b. What value is the venture capitalist placing on each share?
Answer:
a. $3,136,000
b. $64 per share
Explanation:
The computation is shown below
a. The total after the money valuation is
= $1,254,400 ÷ 40%
= $3,136,000
b. The value that venture capitalist place on each share is
= $3,136,000 ÷ (19,600 ÷ 40%)
= $3,136,000 ÷ 49,000 shares
= $64 per share
Hence, the same should be considered
dự báo thị trường trên các đường bay dự kiến khai thác
Use the following information: Windswept, Inc. 2017 Income Statement ($ in millions) Net sales $10,160 Cost of goods sold 8,210 Depreciation 510 Earnings before interest and taxes $1,440 Interest paid 122 Taxable income $1,318 Taxes 461 Net income $857 Windswept, Inc. 2016 and 2017 Balance Sheets ($ in millions) 2016 2017 2016 2017 Cash $320 $350 Accounts payable $1,730 $1,610 Accounts rec. 1,180 1,080 Long-term debt 1,190 1,390 Inventory 2,080 1,830 Common stock 3,520 3,520 Total $3,580 $3,260 Retained earnings 730 980 Net fixed assets 3,590 4,240 Total assets $7,170 $7,500 Total liab.& equity $7,170 $7,500 What is the quick ratio for 2017?a. 89 times.b. 1.81 times.c. 1.14 times.d. 88 times.e. 2.02 times.
Answer:
See below
Explanation:
Given the information above, Quick ratio is computed as shown below;
Quick ratio = Quick assets / Current liabilities
Where,
Quick assets = Cash and cash equivalents + Marketable securities + Account receivables
Current liabilities = Bills payable + Accounts payable + Other short term liabilities
From the balance sheet, Quick assets includes cash and account receivables, while Current liabilities includes Accounts payable only
Quick ratio = $350 + $1,080 / $1,610
Quick ratio = $1,430/ $1,610
Quick ratio = 0.89 times
Therefore, the quick ratio for 2017 is 0.89 times
Instead of issuing securities, Artificial Intelligence Inc. pursues other sources of funds. To obtain venture capital financing, the firm will most likely:_______.a. pool funds to invest in a business venture. b. give up a share of its ownership. c. borrow funds to be returned on a designated maturity date. d. pay periodic dividends.
Answer:
The answer is B.
Explanation:
The correct option is B. - give up a share of its ownership. Venture capitalist invest in a start up ventures or small businesses that they believe have high future prospects.
Because venture capitalists are exprienced business wise and have enough money, they tend to make or provide managerial decisions. The business will be in form of partnership, hence, Artificial Intelligence Inc. giving up part of its ownership.
It is not a must venture business pay a periodic dividend but business capitalist share in the profit or loss of the business.
A small firm intends to increase the capacity of a bottleneck operation by adding a new machine. Two alternatives, A and B, have been identified, and the associated costs and revenues have been estimated. Annual fixed costs would be $36,000 for A and $31,000 for B; variable costs per unit would be $7 for A and $11 for B; and revenue per unit would be $18.
Requied:
a. Determine each alternativeâs break-even point in units.
b. At what volume of output would the two alternatives yield the same profit?
c. If expected annual demand is 10,000 units, which alternative would yield the higher profit?
Answer:
Results are below.
Explanation:
Giving the following information:
Alternative A:
Fixed costs= $36,000
Unitary variable cost= $7
Selling price= $18
Alternative B:
Fixed costs= $31,000
Unitary variable cost= $11
Selling price= $18
First, we need to calculate the break-even point in units for each alternative:
Break-even point in units= fixed costs/ contribution margin per unit
Alternative A= 36,000 / (18 - 7)= 3,273
Alternative B= 31,000 / (18 - 11)= 4,429
Now, we equal the indifference point:
36,000 + 7x = 31,000 + 11x
x= number of units
5,000 = 4x
1,250 = x
The indifference point is 1,250 units.
Finally, 10,000 units are sold:
Alternative A:
Net income= 10,000*(18 - 7) - 36,000
Net income= $74,000
Alternative B:
Net income= 10,000*(18 - 11) - 31,000
Net income= $39,000
15. Assume that Bullen issued 12,000 shares of common stock, with a $5 par value and a $47 fair value, to obtain all of Vicker's outstanding stock. In this acquisition transaction, how much goodwill should be recognized
Answer:
$104,000
Explanation:
Note: The full question is attached as picture below
Fair value of net assets = Cash and receivables + Inventory + Land + Buildings (net) + Equipment (net) - Liabilities
Fair value of net assets = $70,000 + 210,000 + 240,000 + 270,000 + 90,000 - 420,000
Fair value of net assets = $460,000
Purchase consideration paid = 12,000*$47
Purchase consideration paid = $564,000
Goodwill recognized = Purchase consideration - Fair value of net assets
Goodwill recognized = $564,000 - $460,000
Goodwill recognized = $104,000
Problems and Applications Q8 Suppose that the government decides to issue tradable permits for a certain form of pollution. In terms of economic efficiency in the market for pollution, having the government auction the permits off is distributing them to firms. True or False: If the government chooses to distribute the permits, the allocation of permits among firms does not matter for efficiency, but it would affect the distribution of wealth. True False
Answer:
1. False
2. True
Explanation:
Tradable permits issued to firms, there will be no effect on economic efficiency for the market of pollution permit. The revenue of government will be increase by selling and auctioning those permits.
The process for converting present values into future values is called________________.
Answer:
Compounding.
Explanation:
Compounding is typically an accounting process used for the conversion of present values of an asset, investment or money into future values.
Generally, a compound interest is calculated based on the interest rate on a loan, principal and the accumulated interest gained from previous periods. This interests is compounded for a certain number of times such as daily, weekly, quarterly or annually.
Mathematically, to find the future value from the present value of an asset or investment, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value. P is the principal or starting amount. r is annual interest rate. n is the number of times the interest is compounded in a year. t is the number of years for the compound interest.