When you were born, your dear old Aunt Minnie promised to deposit $1,000 into a savings account, bearing a 5% effective annual rate, on each birthday, beginning with your first. You have just turned 22 and want the dough. However, it turns out that dear old (forgetful) aunt Minnie made no deposits on your fifth and eleventh birthdays. How much is in the account right now?

Answers

Answer 1

Answer: $34,502.85

Explanation:

The constant deposits are considered annuities.

The value at the end of 22 years is the future value of the annuity.

Future value of annuity = Annuity * ( (1 + rate)^number of years - 1 ) / rate

= 1,000 * ( ( 1 + 5%) ²² - 1) / 5%

= $38,505.21

Then subtract the future values of the deposits that your grandmother missed.

For the fifth birthday, the future value term will be 22 - 5 = 17 years

For the eleventh, the future value term will be 22 - 11 = 11 years

The amount in the account is:

= 38,505.21 - (1,000 * 1.05¹⁷) + (1,000 * 1.05¹¹)

= $34,502.85


Related Questions

Spartan Corporation estimates that it will incur $200,000 of total manufacturing overhead cost at an estimated activity level of 10,000 direct labor-hours. What is the amount of manufacturing overhead that would be applied to a job that required 200 direct labor-hours?
a. $2,000.
b. $4,000.
c. $6,000.
d. $10,000.

Answers

Answer:

Spartan Corporation

The amount of manufacturing overhead that would be applied to a job that required 200 direct labor-hours is:

b. $4,000.

Explanation:

a) Data and Calculations:

Estimated manufacturing overhead = $200,000

Estimated activity level = 10,000 direct labor-hours

Predetermined overhead rate = $20 ($200,000/10,000) per direct labor-hour

Applied overhead to a job that required 200 direct labor-hours = $4,000 (200 * $20)

EcoFabrics has budgeted overhead costs of $1,162,350. It has allocated overhead on a plantwide basis to its two products (wool and cotton) using direct labor hours which are estimated to be 553,500 for the current year. The company has decided to experiment with activity-based costing and has created two activity cost pools and related activity cost drivers. These two cost pools are cutting (cost driver is machine hours) and design (cost driver is number of setups). Overhead allocated to the cutting cost pool is $442,800 and $719,550 is allocated to the design cost pool. Additional information related to these pools is as follows.
Wool Cotton Total
Machine hours 123,000 123,000 246,000
Number of setups 1,230 615 1,845
1. Calculate the overhead rate using activity based costing. (Round answers to 2 decimal places, e.g. 12.25.)
2. Determine the amount of overhead allocated to the wool product line and the cotton product line using activity-based costing.
3. Calculate the overhead rate using traditional approach. (Round answer to 2 decimal places, e.g. 12.25.)
4. What amount of overhead would be allocated to the wool and cotton product lines using the traditional approach, assuming direct labor hours were incurred evenly between the wool and cotton?

Answers

Answer:

EcoFabrics

1. Overhead Rates using activity-based costing:

Cutting = $1.80 per machine hour

Design = $390 per setup

2. Allocation of overhead:

                                  Wool                            Cotton

Cutting                  $221,400                     $221,400

Design                    479,700                       239,850

Total allocated      $701,100                      $461,250

3. Overhead rate using the traditional approach:

Predetermined overhead rate = $2.10

4. Allocation of overhead:

                               Wool            Cotton

Total allocated   $581,175        $581,175

Explanation:

a) Data and Calculations:

Budgeted overhead costs = $1,162,350

Estimated direct labor hours = 553,500

Activity Cost      Cost Drivers   Overhead Costs   Wool   Cotton     Total

Pools                  

Cutting               Machine hours     $442,800   123,000 123,000 246,000

Design                Number of setups  719,550        1,230         615      1,845

1. Overhead Rates using activity-based costing:

Cutting = $1.80 ($442,800/246,000) per machine hour

Design = $390 ($719,550/1,845) per setup

2. Allocation of overhead:

                               Wool                                     Cotton

Cutting                  $221,400 ($1.80 * 123,000)  $221,400 ($1.80 * 123,000)

Design                    479,700 ($390 * 1,230)        239,850 ($390 * 615)

Total allocated      $701,100                               $461,250

3. Overhead rate using the traditional approach:

Predetermined overhead rate = $2.10 ($1,162,350/553,500)

4. Allocation of overhead:

                               Wool                                     Cotton

Total allocated   $581,175 ($1,162,350 * 50%)   $581,175 ($1,162,350 * 50%)

A buyer’s agent represents the buyer, and the seller’s agent represents the broker true or false?

Answers

Answer: False

Explanation:

seller is not represent broker

true or false
1.complex buying behavior is when consumers search for information detals​

Answers

Answer:

true

Explanation:

Complex buying is when consumers look for details about the product.

Answer:

This is true.

Explanation:

Marketers should have a thorough knowledge of products for customers with complex buying behavior.

Lennon, Inc. is considering a five-year project that has an initial outlay or cost of $80,000. The respective future cash inflows from its project for years 1, 2, 3, 4 and 5 are: $15,000, $25,000, $35,000, $45,000, and $55,000. Lennon uses the internal rate of return method to evaluate projects. What is Lennon's IRR

Answers

Answer:

26.16%

Explanation:

Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested

IRR can be determined using a financial calculator

CO = -80,000

C1 = $15,000

C2 = $25,000

C3 = $35,000,

C4 = $45,000

C 5 = 55,000

IRR = 26.16

To determine IRR using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the IRR button and then press the compute button.  

There are two preferred methods to accessing the database. One is to have newly instantiated object call the data access object. The other is to let the controller access the data access object.

a. True
b. False

Answers

I believe that it is true. So it is A

Positive Messages and the Writing Process
Organizations exchange information internally and externally. External messages go to customers, vendors, the government, and other business partners. Internal messages travel upward to supervisors, downward to employees, and horizontally among workers. Understanding the different types of business messages and following the 3-x-3 writing process will help you write more effective professional messages. Match the message content area with the correct types of messages.
1. Sales pitches, requests for favors
2. Replies, goodwill messages, direct claims
3. Bad news, refusals
a. persuasive
b. positive
c. negative
Consider the scenario about a positive message:
Gilberto is composing an e-mail that explains the terms of a recent business transaction. He has determined the purpose of the message, analyzed his audience, and determined its reactions.
According to the 3-x-3 writing process, what actions make up his next steps?
a. Make a list of points to cover.
b. Plan for feedback.
c. Check for mechanical problems.
d. Collect information.
e. Compose the first draft.
While most business communication is now done electronically, there remain situations in which a business letter is most appropriate.
Messages delivered through business letters are less likely to reach_____than messages delivered through_____. Thus, business letters are more_____.

Answers

Answer: See explanation

Explanation:

1a. Sales pitches, requests for favors: In this case, persuasive message should be used to convince the receiver to agree with the sender's viewpoint.

b. Replies, goodwill messages, direct claims: The positive message should be used as the main idea can be communicated directly before any other supporting information are provided.

c. Bad news, refusals: This scenario involves a negative messages and should therefore be written in an indirect manner. It should also be noted that a supporting message us given before the main message us written.

2. According to the 3-x-3 writing process, the actions that make up Gilberto next steps include

a. Make a list of points to cover.

d. Collect information.

e. Compose the first draft.

3. Messages delivered through business letters are less likely to reach (unintended recipients) than messages delivered through (email). Thus, business letters are more (confidential).

Given the following information, determine the cost of goods sold at December 31 using the LIFO periodic inventory method:
December 2: 5 units were purchased at $7 per unit.
December 9: 10 units were purchased at $9.40 per unit.
December 11: 12 units were sold at $35 per unit.
December 15: 20 units were purchased at $10.15 per unit.
December 22: 18 units were sold at $35 per unit.
a. $51.75
b. $94.00
c. $50.75
d. $83.22
e. $41.30

Answers

Answer:

COGS= $297

Explanation:

Giving the following information:

December 2: 5 units were purchased at $7 per unit.

December 9: 10 units were purchased at $9.40 per unit.

December 11: 12 units were sold at $35 per unit.

December 15: 20 units were purchased at $10.15 per unit.

December 22: 18 units were sold at $35 per unit.

First, we need to calculate the number of units sold:

Number of units sold= 12 + 18= 30

Now, under the LIFO (last-in, first-out) method, the cost of goods sold is calculated using the cost of the lasts units incorporated into inventory:

COGS= 20*10.15 + 10*9.4

COGS= $297

On January 1, 2018, Ameen Company purchased major pieces of manufacturing equipment for a total of $36 million. Ameen uses straight-line depreciation for financial statement reporting and MACRS for income tax reporting. At December 31, 2020, the book value of the equipment was $30 million and its tax basis was $20 million. At December 31, 2021, the book value of the equipment was $28 million and its tax basis was $12 million. There were no other temporary differences and no permanent differences. Pretax accounting income for 2021 was $50 million.

Required:
a. Prepare the appropriate journal entry to record Ameenâs 2021 income taxes. Assume an income tax rate of 25%.
b. What is Ameenâs 2021 net income?

Answers

Answer:

1.31-Dec-21

Dr Income tax expense $12.50

Cr To Income taxes payable $11.00

Cr To Deferred tax liability $1.50

2.$37.50 million

Explanation:

1. Preparation of the appropriate journal entry to record Ameenâs 2021 income taxes. Assume an income tax rate of 25%.

Depreciation as per books for 2021 = $30 - $28 Depreciation as per books for 2021= $2 million

Depreciation as per tax for 2021 = $20 - $12

Depreciation as per tax for 2021 = $8 million

Taxable income = $50 + $2 - $8

Taxable income = $44 million

JOURNAL ENTRIES - Ameen Company (In million)

31-Dec-21

Dr Income tax expense $12.50

Cr To Income taxes payable ($44*25%) $11.00

Cr To Deferred tax liability ($6*25%) $1.50

(To record income tax expense)

2. Calculation to determine What is Ameenâs 2021 net income?

Ameen's 2021 net income = $50 - $12.50

Ameen's 2021 net income = $37.50 million

Therefore Ameen's 2021 net income is $37.50 million

The pre-tax accounting income is $44 million and the income tax payable amount is $11 million.

What do you mean by Pre-tax accounting income?

Pre-tax revenue is the company's income left over after all operating costs, including interest and depreciation, have been deducted from sales or income, but before deducted income tax.

Pre-tax profits provide insight into the financial performance of a company prior to tax impact.

Calculation of taxable income for 2021:

a)

[tex]\rm\,Taxable \,Income = \\Pre-Tax \; Accounting \; Income + (Excess \;of Book Depreciation \;over \; tax \; depreciation)\\\\\rm\,Taxable \,Income = 50 + (2 - 8)\\\\\rm\,Taxable \,Income = \$44 \;Million\\\\Income\,tax\, Payable = 44 \times 25\%\\\\Income\,tax\, Payable = \$11 Million[/tex]

Journal entry to record Ameena's 2021 income taxes is attached below.

b) Ameena's net income will be :

[tex]\rm\,Ameen's \; 2021 \;net \; income = \$50 - \$12.50\\\Ameen's \; 2021 \;net \; income = $37.50 \rm\,million[/tex]

Hence, The pre-tax accounting income is $44 million and the income tax payable amount is $11 million.

To learn more about  pre-tax accounting income, refer:

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You plan to purchase a $100,000 house using a 30-year mortgage obtained from your local credit union. The mortgage rate offered to you is 7.25 percent. You will make a down payment of 20 percent of the purchase price. Calculate your monthly payments on this mortgage.

Answers

Answer:

$545.74  

Explanation:

The actual mortgage is the purchase price minus the down payment, based on the mortgage amount, the monthly payment can be determined using a financial calculator as shown below:

N=360(number of monthly payments in 30 years=30*12=360)

I/Y=7.25/12(monthly interest rate without the "%" sign)

PV=-80000($100,000-20%*$100,000=$80000)

FV=0(after all required payments , the balance of the mortgage balance would be zero)

CPT

PMT=$545.74  

Blade Breeze Company manufactures ceiling fans and uses an activity-based costing system. Each ceiling fan has 20 separate parts. The direct materials cost is $70, and each ceiling fan requires 2.50 hours of machine time to manufacture. Additional information is as follows:
Activity Allocation Base Predetermined Overhead Allocation Rate
Materials handling Number of parts $ 0.08
Machining Machine hours 7.20
Assembling Number of parts 0.35
Packaging Number of finished units 2.80
What is the cost of machining per ceiling fan? (Round any intermediate calculations and your final answer to the nearest cent.)
A) $18.00
B) $70.00
C) $144.00
D) $196.00

Answers

Answer:

Machining= $18

Explanation:

Giving the following information:

Each ceiling fan requires 2.50 hours of machine time to manufacture.

Machining Machine hours 7.20

To calculate the cost of machining per ceiling fan, we need to use the following formula:

Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base

Machining= 2.5*7.2

Machining= $18

What is happening with Unemployment of Indonesia over the past 2 or 3 years?

Answers

Answer:

The unemployment rate in Indonesia increased to 6.26 percent in the first quarter 2021 from 4.94 percent in the same quarter a year earlier, amid the economic downturn caused by the coronavirus crisis. The number of unemployed persons surged by 1.82 million to 8.75 million. Meanwhile, the number of employed declined by 2.23 million to 131.06 million, mostly in the transportation and warehouse (-0.30 percent) while that in accommodation and food services reported the largest increase (0.34 percent). Meantime, the labor force participation rate declined to 68.08 percent in the first quarter from 69.21 percent in the prior year. 

Explanation:

give 5 star

If a fixed asset, such as a computer, were purchased on January 1st for $3,750 with an estimated life of 3 years and a salvage or residual value of $150, the journal entry for monthly expense under straight-line depreciation is: (Note: EOM indicates the last day of each month.)

Answers

Answer:

EOM depreciation expense $100

accumulated depreciation $100

Explanation:

Depreciation is a method used in expensing the cost of an asset.

Yearly Straight line depreciation expense = (Cost of asset - Salvage value) / useful life

($3750 - $150) / 3 = $1200

Monthly depreciation = yearly depreciation / 12

1200 /12 = 100

Accumulated depreciation is sum of depreciation expense

Describe the events that occur in an efficient market in response to new information that causes the expected return to exceed the required return. What happens to the market value

Answers

Answer:

The efficient market hypothesis tells, in an equilibrium, the price of stocks or security is an unbiased estimate of the true values.

Explanation:

Thus, in the equilibrium,  of security prices are neither an overvalued nor are undervalued. Suppose the investors learn new information about the company that suggests there stock is worth more than the current price.  The security gets undervalued expected return exceeds the required return. Increased in demand for security from the investors with this new information will thus bid up the market value plus reduce its expected return until they are equal.

the financial statements for banana company include the following items: 20x9 20x8 cash $51,500 $50,000 short-term investments 25,000 15,000 net accounts receivable 53,000 50,000 merchandise inventory 163,000 50,000 total assets 532,000 554,000 accounts payable 131,500 124,000 salaries payable 25,000 13,000 long-term note payable 59,000 53,000 compute the current ratio for 20x8. group of answer choices

Answers

Answer:

1000,$5000maaf kalo salah

what is GDP of a country

Answers

Answer:

Gross Domestic Products (GDP) is a measure of the total market value of all finished goods and services made within a country during a specific period.

Explanation:

GDP is an acronym for Gross Domestic Products (GDP) and it can be defined as a measure of the total market value of all finished goods and services made within a country during a specific period.

Simply stated, GDP is a measure of the total income of all individuals in an economy and the total expenses incurred on the economy's output of goods and services in a particular country.

On a related note, Gross Domestic Products (GDP) is a measure of the production levels of any nation.

Basically, the four (4) major expenditure categories of GDP are;

I. Consumption (C).

II. Investment (I).

III. Government purchases (G).

IV. Net exports (N).

In conclusion, GDP is a measure of the total amount of finished goods and services produced by a country.

Two leading home appliance companies, Globex Inc. and Pug Tech, are in competition for market share. In their quest for exciting new products, Globex employs an open innovation model, while Pug Tech pursues a closed innovation model. Which of the following statements is most likely true?

a. Globex has a greater chance of capturing market share.
b. Pug Tech has a superior absorptive capacity.
c. Pug Tech will protect its intellectual property with patents and trade secrets.
d. Globex is most concerned with securing first-mover advantages.

Answers

Answer: c. Pug Tech will protect its intellectual property with patents and trade secrets.

Explanation:

A closed innovation model means that the company develops the product internally instead of through collaboration with external sources.

Pug Tech will therefore produce new products internally. As a result, they will be able to protect these products from being copied by others through patents and trade secrets because the law will recognize that they have exclusive rights to the new technology seeing as they came up with it.

The cost of equity is ________. the interest associated with debt the rate of return required by investors to incentivize them to invest in a company the weighted average cost of capital equal to the amount of asset turnover

Answers

Answer:

If an = 3n - 2 , find a2

Explanation:

If an = 3n - 2 , find a2If an = 3n - 2 , find a2

An owner can lease her building for $160,000 per year for three years. The explicit cost of maintaining the building is $55,000, and the implicit cost is $70,000. All revenues are received, and costs borne, at the end of each year. If the interest rate is 5 percent, determine the present value of the stream of:_______.
a. Accounting profits.
b. Economic profits.

Answers

Answer:

a. Accounting profits.

Account profit = Revenue - explicit cost

= 160,000 - 55,000

= $105,000

Present value of $105,000 per year for 3 years is:

= 105,000 * Present value interest factor of an Annuity, 3 years, 5%

= 105,000 * 2.7232

= $285,936

b. Economic profit

Economic profit = Revenue - explicit cost - implicit cost

= 160,000 - 55,000 - 70,000

= $35,000

Present value of $35,000 per year for 3 years:

= 35,000 * Present value interest factor of an Annuity, 3 years, 5%

= 35,000 * 2.7232

= $95,312

Note: The profits were treated as annuities as they were constant.

Roanoke Company produces chocolate bars. The primary materials used in producing chocolate bars are cocoa, sugar, and milk. The standard costs for a batch of chocolate (5,200 bars) are as follows:
Ingredient Quantity Price
Cocoa 400lbs. $1.25per lb.
Sugar 80lbs. $0.40per lb.
Milk 120gal. $2.50per gal.
Determine the standard direct materials cost per bar of chocolate. Round to two decimal places.

Answers

Answer:

$0.16

Explanation:

Particulars       Quantity   Price    Amount

Cocoa                  400       $1.25      $500

Sugar                   80         $0.40     $32

Milk                      120        $2.50     $300

Total                                                  $832

Standard direct materials cost per bar = Total amount / Number of bar

Standard direct materials cost per bar = $832 / 5,200 bars

Standard direct materials cost per bar = $0.16

what are the basic requirement of ppe

Answers

Answer:

Personal safety equipment, commonly known as PPE, is the equipment used to minimize the risks causing severe injuries and diseases in the workplace.

Explanation:

Items like gloves, safety glasses, and shoes, earplugs or muffles, hard hats, breathing or coverings, jackets, and whole-body suits may be included in personal protective equipment.

All personal protective equipment should be designed and constructed in a safe and reliable manner. It should fit conveniently and promote the use of workers.

These wounds and diseases can be attributable to chemical, radiological, physical, electrical, mechanical, or other hazards in the workplace.

When engineering, employment practices, and administrative controls are not feasible or not sufficient, employers must provide their employees with personal protective equipment and ensure their proper utilization.

The above answer is correct

Estimated inventory (units), March 1 17,000 Desired inventory (units), March 31 19,700 Expected sales volume (units): Area M 6,500 Area L 8,900 Area O 7,800 Unit sales price $15 The number of units expected to be manufactured in March is a.23,200 b.59,900 c.25,900 d.42,900

Answers

Answer:

c.25,900

Explanation:

The computation of the no of units expected to be manufactured is given below:

No of units manufactured is

= No. of units sold + Closing units - Opening units

= (6,500 + 8,900 + 7,800) + 19,700 - 17,000

= 25,900

Hence, the no of units expected to be manufactured is 25,900

Therefore the option c is correct

Zachary Electronics currently produces the shipping containers it uses to deliver the electronics products it sells. The monthly cost of producing 9,100 containers follows. Unit-level materials $ 6,400 Unit-level labor 6,400 Unit-level overhead 3,800 Product-level costs* 8,400 Allocated facility-level costs 28,000 *One-third of these costs can be avoided by purchasing the containers. Russo Container Company has offered to sell comparable containers to Zachary for $2.70 each. Required Calculate the total relevant cost. Should Zachary continue to make the containers

Answers

Answer:

Zachary Electronics

Zachary should continue to make the containers.  It is cheaper to make than to buy from Russo Container Company.

Explanation:

a) Data and Calculations:

Production units = 9,100 containers

Unit-level materials                $ 6,400

Unit-level labor                          6,400

Unit-level overhead                  3,800

Total unit-level costs            $16,600

Product-level costs*                 8,400

Allocated facility-level costs  28,000

Relevant or avoidable costs:

Unit-level materials                $ 6,400

Unit-level labor                          6,400

Unit-level overhead                  3,800

Total unit-level costs            $16,600

Product-level costs*                 2,800 ($8,400 * 1/3)

Total relevant costs =          $19,400 (to make)

Relevant cost to buy:

Offer from Russo Container company = $2.70 per container

Total cost from outside supplier = $24,500 ($2.70 * 9,100)

Nut and Bolt guy Inc, sells nuts, bolts, fasteners and other related equipment. The CFO projects that net FCF for the next three years will be $11,000, $12,500 and $16,000, respectively. After that, the cash flows are expected to increase by 4.5 percent annually. What is the value of the firm if the WACC is 12.2%?

Answers

Answer:

$184791

Explanation:

The calculation of the value of the firm is given below:

Year         Future Cash Flow      PVF at 12.2%      PV of Cash Flow

1                 11000                               0.891                  9801

2               12500                               0.794                  9925

3               16000                                0.708                11328

Total                                                                              31054

Present Value of Terminal Value

= [16000 × (1 + 0.045) ÷ 0.122 - 0.045] × 0.708

= [16720 ÷ 0.077] × 0.708

= 153737

Now

value of Firm = 31054 + 153737

= $184791

XYZ expects to sell 28,000 pools in 2019. It budgets the beginning inventory of Direct Materials, Work-in-process, and Finished goods to be 26,000; 0; 1,300 units; AND ending inventory to be 26,000; 0; 2,800 units. How many pools need to be produced

Answers

Answer:

the  no of pools need to be produced is 29,500 units

Explanation:

The computation of the no of pools need to be produced is given below:

= Ending finished goods inventory units + number of units sold - beginning finished goods inventory units

= 2800 + 28000 - 1300

= 29500 units.

Hence, the  no of pools need to be produced is 29,500 units

KNK bank receives a deposit of GHS 1,000 and observes a cash ratio of 10%. Assuming there is no cash drain(cashless economy) and all rxcess reserves are pushed into loans. a. what is the maximum amount of money that can be pushed into loans. b. what is the total increase in money supply with the bank?​

Answers

The maximum amount of money which can be created from the deposit will be GHS 1,000 and the total increase in the money supply with the bank will be GHS 1,000 too.

Money supply has to do with the total amount of money that's in circulation in a particular period of time in an economy.

A) Based on the information given, the maximum amount of money which can be created from the deposit will be GHS 1,000.

B. The total increase in the money supply with the bank will be GHS 1,000. The reason for this is because there were no additional information that was given.

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https://brainly.com/question/3625390

Baden Company manufactures a product with a unit variable cost of $100 and a unit sales price of $176. Fixed manufacturing costs were $480000 when 10000 units were produced and sold. The company has a one-time opportunity to sell an additional 1000 units at $140 each in a foreign market which would not affect its present sales. If the company has sufficient capacity to produce the additional units, acceptance of the special order would affect net income as follows:

a. Income would decrease by $8,000.
b. Income would increase by $8,000.
c. Income would increase by $140,000.
d. Income would increase by $40,000.

Answers

Answer:

d. Income would increase by $40,000

Explanation:

Calculation to determine what the acceptance of the special order would affect net the income

Net income=(Additional unit price*Additional units)-(Variable cost *Additional units

Let plug in the formula

Net income = ($140× 1,000)-($100×1,000)

Net income= $140,000-$100,000

Net income=$40,000 Increase

Therefore If the company has sufficient capacity to produce the additional units, acceptance of the special order would affect net income as follows Income would increase by $40,000

Sometimes it is necessary to invest a certain amount of money at a fixed interest rate for a fixed number of year so that a financial goal is met. The inital amount invested in called the present value.

a. True
b. False

Answers

Answer: True

Explanation:  financial goals is an important step toward becoming financially secure.

Consider the last purchase of two goods by a consumer. A bag of chips costs $1.75 and the marginal utility is 20. A cup of chili costs $2.50. What must the marginal utility of chili be for the consumer to maximize total utility

Answers

Answer:

The marginal utility of chili must be 28.57 for the consumer to maximize total utility.

Explanation:

The marginal utility of chili at which the consumer maximizes total utility can be calculated as follows:

Let:

CCHIP = Cost of a bag of chips = $1.75

MUCHIP = Marginal utility of a bag of chips = 20

CCHILI = Cost of a cup of chili = $2.50

MUCHILI = Marginal utility of a cup of Chili = ?

The condition for the utility maximization of the consumer is as follows:

MUCHIP / CCHIP = MUCHILI / CCHILI ……………………………. (1)

Substituting all the relevant values into equation (1) and solve for MUCHILI, we have:

20 / 1.75 = MUCHILI / 2.50

(20 / 1.75) * 2.50 = MUCHILI

MUCHILI = 28.57

Therefore, the marginal utility of chili must be 28.57 for the consumer to maximize total utility.

Joshua borrowed $1,400 for one year and paid $70 in interest. The bank charged him a service charge of $12. If Joshua repaid the loan in 12 equal monthly payments, what is the APR? (Enter your answer as a percent rounded to 1 decimal place.)
APR %

Answers

Answer: 10.81%

Explanation:

The annual percentage rate is the percentage cost of credit on yearly basis.

APR will be calculated

= [(2 x n x I) /( P x ( N + 1)]

where,

n = number of months = 12

I = Finance cost = Interest + service charge = $70 + $12 = $82

P = Borrowed amount = $1,400

N= Loan period = 12

We'll then slot the values into the annual percentage rate (APR) formula and this will be:

= ( 2 x n x I) /( P x ( N + 1))

= ( 2 x 12 x 82) /( 1400 x ( 12 + 1))

= 0.1081

=10.81 %

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