Bethany needs to borrow $10,000. She can borrow the money at 6% simple interest for 5 yr or she can borrow at 5% with interest compounded continuously for 5 yr.

a. How much total interest would Bethany pay at 6% simple interest?
b. How much total interest would Bethany pay at 5% interest compounded continuously?
c. Which option results in less total interest?

Answers

Answer 1

Answer:

a. $3000

b. 2840.25

c. compounded continuously

Explanation:

a. principal amount,  p = $10000

Interest rate in the case of simple interest = 6%

Time, t = 5 years

Interest amount = Prt

Interest amount = 10000 x 6% x 5 = $3000

b. principal amount,  p = $10000

Interest rate, r = 5%

Time, t = 5 years

Interest amount = Pe^(rt) - P

Interest amount = 10000 (2.71)^(5% x 5) - 10000

Interest amount = 2840.25

c. Compounded continuously has a lower interest amount.


Related Questions

Prepare journal entries for each transaction and identify the financial statement impact of each entry.
The financial statements are automatically generated based on the journal entries recorded.
Assume Adams Services began the year with the following balances: Cash, $41,000;
Accounts receivable, $11,200; and Common stock, $52,200.
Jan. 1 Leslie Adams invested $21,200 cash in the company in exchange for common stock.
Jan. 2 The company provided services to a client and immediately received $4,500 cash.
Jan. 3 The company received $11,200 cash from a client in payment for services to be provided next year.
Jan. 4 The company received $5,900 cash from a client in partial payment of accounts receivable.
Jan. 5 The company borrowed $11,000 cash from the bank by signing a note payable.

Answers

Answer:

Cash (Dr.) $21,200

Common Stock (Cr.) $21,200

Cash (Dr.) $4,500

Services to client (Cr.) $4,500

Cash (Dr.) $11,200

Unearned Revenue (Cr.) $11,200

Cash (Dr.) $5,900

Accounts Receivable (Cr.) $5,900

Cash (Dr.) $11,000

Notes Payable (Cr.) $11,000

Explanation:

Adams services may record these transactions as journal entries. The transactions may have some changes after they are recorded then adjusting entries will be prepared to reflect the correct effect of transaction on business activities.

Hadley Corporation, which has only one product, has provided the following data concerning its most recent month of operations: Selling price $ 185 Units in beginning inventory 100 Units produced 1,970 Units sold 1,380 Units in ending inventory 690 Variable costs per unit: Direct materials $ 75 Direct labor $ 32 Variable manufacturing overhead $ 12 Variable selling and administrative expense $ 11 Fixed costs: Fixed manufacturing overhead $ 19,700 Fixed selling and administrative expense $ 30,360 What is the total period cost for the month under variable costing?

Answers

Answer:

Total period cost for the month $65,240

Explanation:

Product cost under variable costing = Direct materials + Direct labor + Variable overheads

Period cost under variable costing = Fixed manufacturing overheads + All non manufacturing overheads (Variable and fixed)

Calculation of the total period cost using variable costing

Variable selling and administrative expense ($11 × 1,380 units)

$15,180

Fixed manufacturing overhead

$19,700

Fixed selling and administrative expense

$30,360

Total period cost for the month

$65,240

How might a person in an information technology company have a lot of power even if he or she does not hold an executive title

Answers

Answer:

Even if individual doesn't even have an executive role, a person responsible of information technology for a corporation might wield tremendous authority. This is due to the fact that power is not necessarily linked to a position of authority.

Explanation:

A person with leadership qualities can advance to positions of power, allowing them to put their abilities and personality attributes to good use. A person in charge of information technology is also responsible for optimising the company's digital technologies owing to the nature of the role and responsibilities.

In an Information Technology company, an individual can have a lot of power regardless of whether or not they hold an executive position. This is because organizational power is not just linked to hierarchical position.

What are the responsibilities of an IT professional?

An individual who works with Information Technology handles sensitive information about an organization and is responsible for information security and optimization.

Therefore, an IT professional is responsible for managing information in an organization, creating and distributing it across computer networks securely and to the right users.

Find out more about Information Technology here:

https://brainly.com/question/984271

The Cullumber Acres Inn is trying to determine its break-even point during its off-peak season. The inn has 50 rooms that it rents at $65 a night. Operating costs are as follows:

Salaries $7,500 per month
Utilities $1,000 per month
Depreciation $1,100 per month
Maintenance $2,940 per month
Maid service $24 per room
Other costs $46 per room

Required:
Determine the innâs break-even point in number of rented rooms per month.

Answers

Answer:

Results are below.

Explanation:

First, we need to calculate the total fixed cost and the total unitary variable cost:

Total fixed cost= salaries + utilities + depreciation + maintenance

Total fixed cost= 7,500 + 1,000 + 1,100 + 2,940

Total fixed cost= $12,540

Total unitary variable cost= 24 + 46

Total unitary variable cost= $70

As the unitary contribution margin is negative (65 - 70), the company will never break even. I will assume that the selling price is incorrect, and the room costs $85:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 12,450 / (85 - 70)

Break-even point in units= 830

Calculate real rate if you have nominal rate is 12% and inflation rate is 7% Enter the answer in percentage format to two decimal place without the % sign -> 9.30 and not 9.3% or .093)

Answers

Answer: 5.00

Explanation:

The real interest rate is the difference between the nominal interest and the inflation rate.

Real interest rate will be:

= Nominal interest rate − Inflation rate.

= 12% - 7%

= 5.00

Therefore, the real Interest rate is 5.00.

Aaron and Michele, equal shareholders in Cavalier Corporation, receive $25,000 each in distributions on December 31 of the current year. During the current year, Cavalier sold an appreciated asset for $60,000 (basis of $15,000). Payment for the sale of the asset will be made as follows: 50% next year and 50% in the following year with interest payable at a rate of 6 percent. Before considering the effect of the asset sale, Cavalier's current-year E & P is $40,000 and it has no accumulated E & P.

Required:
How much of Aaron’s distribution will be taxed as a dividend?

Answers

Answer:

Cavalier Corporation

Aaron’s distribution that will be taxed as a dividend is:

= $25,000

Explanation:

a) Data and Calculations:

Amount received in distributions by Aaron and Michele each = $25,000

Proceeds from the sale of an appreciated asset = $60,000

Proceeds to be received 50% in the next year = $30,000

Proceeds to be received 50% in the second year = $30,000

Basis of asset = $15,000

Capital gains = $45,000 ($60,000 - $15,000)

Cavalier's current-year E & P = $40,000

Accumulated E & P = $0

True or False: The shape of the production function reflects the law of increasing marginal returns. True False

Answers

Answer: False

Explanation:

The statement that "The shape of the production function reflects the law of increasing marginal returns" is false. Rather, the shape of the production function simply reflects the law of diminishing marginal returns.

The slope of the production function is used in the measurement of the change in output for every unit of labor input that's added.

For most goods in an economy, the primary signal that guides the decisions of buyers and sellers is a. quality. b. advertising.

Answers

Answer:

There will be more options than 2 of them. Probably it was a brainly error.

For most goods in an economy, the primary signal that guides the decisions of buyers and sellers is price.

Shawn Incorporated planned to produce 3,000 units of its single product, Megatron, during November. The standard specifications for one unit of Megatron include six pounds of material at $0.30 per pound. Actual production in November was 3,100 units of Megatron. The accountant computed a favorable materials price variance of $380 and an unfavorable materials quantity variance of $120. Based on these variances, one could conclude that:_________

Answers

Answer: The actual cost of materials was less than the standard cost

Explanation:

Net materials cost variance = Favorable materials price variance + Favorable materials quantity variance

= 380 + (-120 unfavorable)

= 380 - 120

= $260 favorable

As the materials cost variance is favorable, it means that the actual cost of materials was less than what was budgeted for it or rather its standard cost.

A 22-year old college student has been promised a $1 million check at this 50thbirthday (28years from today). What is the present value of the $1 million today assuming an interest rate of 5%

Answers

Answer:

$255,093.64

Explanation:

Calculation to determine the present value of $1 million today

Using Financial calculator

PV = PV (rate, nper, pmt, fv, type)

Where,

FV = $1,000,000

Annual Interest rate = 5%

Number of periods = 28

Let plug in the formula

PV = PV (5%, 28, 0, -1000000, 0)

PV= $255093.64

Therefore the Present value of $1 million today is $255,093.64

In a standard cost accounting system, the entry to record purchase of raw materials on account for $13500 when the standard cost is $12620 includes:______.
a. debit to Raw Materials Inventory for 12,750, debit to Materials Price Variance for $750 and credit to Accounts Payable for $13,500.
B. debit to Materials Price Variance for S7S0 and credit to Accounts Payable for $750.
c. debit to Raw Materials Inventory for $13,500 and credit to Accounts Payable of $13,500.
d. debit to Raw Materials Inventory for $12,750 and credit to Accounts Payable of $12,750.

Answers

Answer:

a. Debit to raw material inventory for $12,750, debit to material price variance $750 and credit to account payable for $13,500.

Explanation:

Date  Journal Entry                                   Debit      Credit

         Raw Material Inventory                   $12,750

         Material Price Variance                   $750

               Accounts Payable                                     $13,500

LUVFINANCE, Inc. is estimating its WACC. The firm could sell, at par, $100 preferred stock that pays a 10 percent annual dividend and incurs 6.19% flotation costs. What is the cost of new preferred stock financing

Answers

Answer:

$10.66

Explanation:

Calculation to determine the cost of new preferred stock financing

Cost of new preferred stock financing=(100*10%)/(100*(1-0.0619))

Cost of new preferred stock financing=10/(100*(1-0.0619))

Cost of new preferred stock financing=10/(100*0.9381)

Cost of new preferred stock financing=10/93.81

Cost of new preferred stock financing=$10.66

Therefore the cost of new preferred stock financing is $10.66

Preparation of a statement of cash flows involves five steps:
(1) Compute the net increase or decrease in cash;
(2) compute net cash provided or used by operating activities (using either the direct or indirect method);
(3) compute net cash provided or used by investing activities;
(4) compute net cash provided or used by financing activities; and
(5) report the beginning and ending cash balances and prove that the ending cash balance is explained by net cash flows. Noncash investing and financing activities are also disclosed.

Answers

Answer:

Preparation of a statement of cash flows involves five steps

1. Compute net cash provided or used by operating activities.

This is the section where all the cash flow that belongs to the operating section are been added and subtracted according to the inflow and outflow of the transaction.

2. Compute net cash provided or used by investing activities.

This is the section where all the cash flow that belongs to the investing section are been added and subtracted according to the inflow and outflow of the transaction.

3. Compute net cash provided or used by financing activities.

This is the section where all the cash flow that belongs to the financing section are been added and subtracted according to the inflow and outflow of the transaction.

4. Compute the net increase or decrease in cash

This is the section where the cash-flow from operating, investing and financing activities is  been balanced.

5. Report the beginning and ending cash balances and prove that the ending cash balance is explained by net cash flows.

After the cash-flow from operating, investing and financing activities is  been calculated, Then, this section is also computed to derive the Closing/Ending cash balance

Consider two college roommates, one who smokes and one who does not. The smoker wishes to smoke in the room, and the nonsmoker dislikes smoking in the room. Suppose the smoker would be willing to pay $500 to be allowed to smoke in the room during the semester, and the nonsmoker would be willing to pay $600 to keep the room smoke-free. What should happen in the socially optimal outcome

Answers

Answer:

The socially optimal outcome is that there will be no smoking in the room.

Explanation:

The above answer is  based on the willingness of the nonsmoker to ensure that no smoking happens in the room.  For instance, the nonsmoker can pay off the smoker, paying $600 to dissuade him from smoking in the room. On the contrary, the smoker is only willing to cough out $500, which is less than $600, in order to smoke in the room. Under social optimality, the nonsmoker wins this game.

List at least four factors a project manager should consider when identifying individuals to work on a project. Why is each important

Answers

Answer:

The four elements to consider when identifying individuals to be part of a project team:

ability to communicate effectivelySelf Assuredness, experience, and ability, Organizational agilityEmotional Intelligence

Explanation:

1. Communication is essential because in a project if there is a miscommunication between one person, group, or team and another, that could prove fatal to the goal of the project.

Communication is verbal and non-verbal and (in a project and as with most organizations) must happen across both sides of the spectrum horizontally and vertically.

For example, when expectations are not clarified or there are assumptions about what one person or team said or expects, this could lead to project disruption. When too much is also divulged, a project can go belly-up.

2. Experience and ability are key but they are not enough. Each team member must be confident in what they believe is right. Sometimes, senior members of a team may want a course of action (that is detrimental) to be executed. A junior team member who is not self-assured may think, "it's coming from above, what can one do?" this type of thinking can be very costly.

A self-assured team player would stand for what is right and in the best interest of the team and the project even at the risk of being fired.

3. Organisational Agility

It is impossible to keep a messy itenary and achieve project success.

The ability to know exactly what needs to be done in succession is an invaluable trait of project team members. This prevents waste of time and resources.

4. Emotional Intelligence

Successful team players are also successful leaders. The most cohesive teams are teams that comprise of highly emotionally intelligent people. One of the benefits of emotional intelligence is that it helps the individual to know how to regulate their own behaviors as well as respond to those of others. It is also critical to motivating others to get the job done.

Cheers

What does a MRTS​ = ​mean? It means that if the input on the horizontal axis is increased by one​ unit, then the input on the vertical axis ▼ increases decreases by units and output will ▼ increase decrease not change .

Answers

Answer:

MRTS​ means that if the input on the horizontal axis is increased by one​ unit, then the input on the vertical axis decreases by units and output will not change.

Explanation:

The marginal rate of technical substitution (MRTS) can be described as the amount by which one input's quantity must be decreased when an additional unit of another input is used to keep output constant. MRST is also known as technical rate of substitution.

Therefore, MRTS​ means that if the input on the horizontal axis is increased by one​ unit, then the input on the vertical axis decreases by units and output will not change.

The company's bank reconciliation at June 30 included interest earned in the amount of $150. Complete the necessary journal entry by selecting the account names and dollar amounts from the drop-down menus.

Answers

Answer:

Dr Cash $150

Cr Interest Revenue $150

Explanation:

Based on the information given ifnThe bank statement included a CREDIT MEMORANDUM in the amount of $150 for interest which means that the journal entry will be :

Dr Cash $150

Cr Interest Revenue $150

Capital allocation line is _______________ Question 18 options: plot of risk-return combinations available by varying portfolio allocation between a risk-free rate and a risky portfolio None of the options are correct plot of risk-return combinations available by varying portfolio allocation between two risky assets plot of risk-return combinations available by equal weighting allocation between a risk-free rate and a risky portfolio

Answers

Answer:

plot of risk-return combinations available by varying portfolio allocation between a risk-free rate and a risky portfolio

Explanation:

The capital allocation line (CAL) is called as the capital market line tha developed on the graph for all the expected combinations related to the risk-free and risk assets. In this, the graph presented the return investor that expected earn by assuming the particular level of risk along with the investment

Therefore the first option is correct

Current operating income for Bay Area Cycles Co. is $26,000. Selling price per unit is $100, the contribution margin ratio is 25% and fixed expense is $104,000. Required: 1. Calculate Bay Area Cycle's breakeven point in units and total sales dollars. Break-even units Break-even dollars 2. Calculate Bay Area Cycle's margin of safety and margin of safety ratio.

Answers

Answer:

Results are below.

Explanation:

First, we need to calculate the unitary contribution margin:

Unitary contribution margin= 100*0.25

Unitary contribution margin= $25

Now, we can calculate the break-even point in units and dollars:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 104,000 / 25

Break-even point in units= 4,160

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 104,000 / 0.25

Break-even point (dollars)= $416,000

Finally, the margin of safety in dollars as a ratio:

Current sales= (26,000 + 104,000) / 25

Current sales= 5,200

Margin of safety= (current sales level - break-even point)

Margin of safety= (5,200*100 - 416,000)

Margin of safety= $104,000

Margin of safety ratio= (current sales level - break-even point)/current sales level

Margin of safety ratio= 104,000 / 520,000

Margin of safety ratio= 0.2 = 20%

Research on a Philippine company that filed for bankruptcy, what type of bankruptcy they filed, and its effect on the company?

Answers

Answer:

There are various reasons when a company files bankruptcy. When a company debtors raise above its assets, the company may claim bankruptcy. The business of a company will then seize when it files bankruptcy.

Explanation:

When a company files bankruptcy, its operations are closed and then analysts visit to identify worth of company's existing assets and analyze whether these assets are enough to pay off liabilities. Debtors are paid first and then with any left over amount investors are paid back.

Mannix Corporation stock currently sells for $80 per share. The market requires a return of 10 percent on the firm's stock. If the company maintains a constant 6 percent growth rate in dividends, what was the most recent dividend per share paid on the stock

Answers

Answer: $3.02

Explanation:

The Gordon growth method can help solve this:

Formula is:

Price of stock = (Most recent dividend * (1 + growth rate)) / (required return - growth rate)

80 = ( D * ( 1 + 6%)) /  (10% - 6%)

80 = 1.06D / 4%

1.06D = 80 * 4%

D = 3.2 / 1.06

D = $3.02

Bottum Corporation, a manufacturing Corporation, has provided data concerning its operations for May. The beginning balance in the raw materials account was $22,500 and the ending balance was $41,000. Raw materials purchases during the month totaled $68,000. Manufacturing overhead cost incurred during the month was $113,500, of which $2,500 consisted of raw materials classified as indirect materials. The direct materials cost for May was:

Answers

Answer:

the direct material cost is $47,000

Explanation:

The computation of the direct material cost is shown below:

= Opening balance + purchase made - indirect material - closing balance

= $22,500 + $68,000 - $2,500 - $41,000

= $47,000

hence, the direct material cost is $47,000

The same should be considered and relevant too

Since its establishment on January 1, 1999, the euro has more than tripled in appreciation against the U.S. dollar, reaffirming the ability of the European Central Bank to manage monetary policy within the euro zone.
A. True
B. False

Answers

Answer:

B. False

Explanation:

The exchange rate between the euro and the dollar was 1.1719 dollars per 1 euro. Currently, the exchange rate is 1.18 dollars per euro. The euro has appreciated slightly against the US dollar, but it is a small percentage. It is not even close to multiplying its value by 3.

Suppose the market price of corn is​ $5.50 per bushel. Which of the following is not one of the three conditions that will need to be satisfied for the corn market to be in equilibrium at this​ price? A. Both the buyers and sellers of corn could benefit by making small changes to their market behaviors. B. The cost to corn farmers of growing the corn must be less than​ $5.50 per bushel. C. The quantity of corn produced by corn farmers will equal the quantity purchased by buyers. D. The buyers of corn will only use it for activities that they feel are worth at least​ $5.50 per bushel.

Answers

Answer:

A

Explanation:

Investors require an after-tax rate of return of 10% on their stock investments. Assume that the tax rate on dividends is 30% while capital gains escape taxation. A firm will pay a $2 per share dividend 1 year from now, after which the firm's stock is expected to sell at a price of $30.

Required:
a. Find the current price of the stock.
b. Find the expected before-tax rate of return for a 1-year holding period.
c. Now suppose that the dividend will be $3 per share. If the expected after-tax rate of return is still 10%, and investors still expect the stock to sell at $20 in 1 year, at what price must the stock now sell?
d. What is the before-tax of return? Why is it now higher than in part (b)?

Answers

Answer:

a. $28.5

b. 12.28%

c.  $29.18

d. 13.09%

Explanation:

a. let current price = p

p*1.10 = 2(1-0.3)+30

= 1.4+30/1.10

= 31.4/1.10

= 28.5

the current price of the stock is approximately 28.5 dollars

b. (30+2 /28.5)-1

= 32/28.5 - 1

= 0.1228

= 12.28%

expected before tax rate is 12.28%

c. 3(1-0.3)+30 / 1.10

= 3*0.7+30/1.10

= $29.18

d. before tax rate of return

= (3$ + 30-29.18)/29.18

= 0.1309

= 13.09%

it is now higher here given that given that a greater dividend causes more tax burden.

The following information is given about two fixed coupon bonds from Company A and Company B, both of which have several years left until maturity. Both bonds have a par value of $1,000. Based on this information, which of the following is most accurate?
Company A Company B
Coupon = 4% Coupon = 8%
Yield = 6% Yield = 6%
A. Company A’s bond is priced higher than Company B’s and Company B’s bond is traded at a premium
B. Company A’s bond is priced lower than Company B’s and Company B’s bond is traded at a premium
C. Company A’s bond is priced higher than Company B’s and Company B’s bond is traded at a discount
D. Company A’s bond is priced lower than Company B’s and Company B’s bond is traded at a discount

Answers

Answer: B. Company A’s bond is priced lower than Company B’s and Company B’s bond is traded at a premium

Explanation:

Discount bond ⇒ Bond coupon rate is less than yield which leads to bond having a lower than par price.

Premium bond ⇒ Bond coupon rate is more than yield which leads to bond having higher than par price.

Company A therefore has a discount bond that has a low price compared to Company B which has a premium bond which means that its price is relatively high.

Company B's bond is therefore priced higher than Company A's bond.

Assume declining profits in the market for Internet service force several firms in the area to drop out of the market. All else constant, this would cause the:

Answers

Answer:

Equilibrium quantity will decrease and Price will increase.

Explanation:

The decrease in the number of firms will result in a decrease in supply or quantity in the market. As the quantity decreases, the prices tend to increase. Therefore, the drop of firms in the market will decrease the supply and increase the price.

Item65eBookItem 65When managers identify a market trend that suggests a new opportunity and then devise a strategy to go after this new opportunity, they are involved in the function of

Answers

Answer:

Planning.

Explanation:

A manager can be defined as an individual who is saddled with the responsibility of providing guidance, support, supervision, administrative control, as well as acting as a role model or example to the employees working in an organization by being morally upright.

Planning can be defined as the process of developing organizational objectives and translating them into action plans or courses of action.

This ultimately implies that, planning is a strategic technique used by organizations to make an aggregate plan for its manufacturing (production) process typically ahead of time, in order to have an idea of the level of goods that are to be produced and what resources are required so as to reduce the total cost of production to its barest minimum.

When managers identify a market trend that suggests a new opportunity and then devise a strategy to go after this new opportunity, they are involved in the function of planning.

If a company sells its smart phones for $400 and the phones have a COGS of $250, how many additional phones would the company have to sell if it decided to spend an extra $150,000 on advertising to promote the phones

Answers

Answer:

Units to be sold= 1,000

Explanation:

Giving the following information:

Selling price= $400

COGS= $250

Increase in costs= $150,000

To calculate the number of units to be sold to cover the incremental costs, we need to use the following formula:

Units to be sold= increase in costs/ contribution margin per unit

Units to be sold= 150,000 / (400 - 250)

Units to be sold= 1,000

uppose you invest, every month, in an annuity that pays 3% interest, compounded monthly. After 25 years, you have $550,000. How much money do you earn from interest

Answers

Answer: $180,046

Explanation:

First find the annuity that was invested monthly that yielded $550,000.

Interest rate = 3%/12 months = 0.25%

Period = 25 * 12 = 300 months

Future value of annuity = Annuity * ( ( 1 + rate) ^ no. of periods - 1) / rate

550,000 = Annuity * ( ( 1 + 0.25%)³⁰⁰ - 1 ) / 0.25%

550,000 = Annuity * 446

Annuity = 550,000 / 446

Annuity = $1,233.18

Without compounding, investing $1,233.18 per month would have yielded:

= 1,233.18 * 300 months

= $369,954

Money earned from interest is:

= 550,000 - 369,954

= $180,046

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