A common error made when solving a future value of an annuity problem is: Multiple Choice Using factor tables to help solve the problem. Dividing the annual deposit by the number of years before calculating the problem. Using a financial calculator to help solve the problem. Multiplying the number of years and the interest rate before calculating the problem. Multiplying the annual deposit and the number of years before calculating the problem.

Answers

Answer 1

Answer:

Multiplying the annual deposit and the number of years before calculating the problem.

Explanation:

An annuity can be defined as a sequence of payment that is typically made at equal intervals i.e at specific period of time.

Basically, annuity can be calculated using the compound interest formula. It is given by the mathematical expression;

[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.

Additionally, the time period between each payment is called payment period.

The term of an annuity refers to the time from the beginning of the first payment made by an individual to the end of the last payment period.

A common error made when solving a future value of an annuity problem is multiplying the annual deposit and the number of years before calculating the problem.


Related Questions

Jamie is considering leaving her current job, which pays $75,000 per year, to start a new company that develops applications for smartphones. Based on market research, she can sell about 50,000 units during the first year at a price of $4 per unit. With annual overhead costs and operating expenses amounting to $145,000. Jamie expects a profit margin of 20 percent. This margin is 5 percent larger than that of her largest competitor, Apps. Inc.
a. If Jamie decides to embark on her new venture, What will her accounting cost be during the first year of operation? Her implicit costs? Her opportunity costs?
Accounting costs: $_____
Implicit costs: $_____
Opportunity costs: $_____
b. Suppose that Jamie's estimated selling price is lower than originally projected during the first year. How much revenue would she need in order to earn positive accounting profits? Positive economic profits?
Revenue needed to earn positive accounting profits: $______
Revenue needed to earn positive economic profits:

Answers

Answer:

Follows are the solution to the given points:

Explanation:

For point A:

Cost with accounting=The actual manufacturing expenditures or spendings that appear on expensive sports or record of a company= [tex]\$ 145,000[/tex]

[tex]\text{Costs = gross pay} = 50000 \times 4 - 1.2 \times1,45,000 = 26000\\\\{ total \ cost = 120 \% \ of\ 145,000}[/tex]

Cost opportunity=75,000

Total revenue required besides positive accounting benefits=cost of accounting =145000

Income to create positive economic benefits=cost of accounts + implied cost

[tex]= 145000+26000=171000[/tex]

For point B:

Income required to make positive profit in accounts = 145,000 more than the accounting costs

Revenue necessary to earn positive profit = 220,000 more than opportunity cost

AirQual Test Corporation provides on-site air quality testing services. The company has provided the following cost formulas and actual results for the month of February:
Fixed Component Variable Component Actual Total
per Month per Job for February
Revenue $276 $35,890
Technician wages $8,600 $8,450
Mobile lab operating expenses $4,600 $34 $9,200
Office expenses $2,800 $3 $3,070
Advertising expenses $1,580 $1,650
Insurance $2,890 $2,890
Miscellaneous expenses $930 $1 $375
The company uses the number of jobs as its measure of activity. For example, mobile lab operating expenses should be $4,600 plus $34 per job, and the actual mobile lab operating expenses for February were $9,200. The company expected to work 140 jobs in February, but actually worked 150 jobs.
Required:
Complete the flexible budget performance report showing AirQual Test Corporation’s revenue and spending variances and activity variances for February.

Answers

Answer:

AirQual Test Corporation

Flexible Budget:

                                           Fixed     Variable  Actual   Flexible  Variance

Revenue                                             $276 $35,890  $41,400  ($5,510)  U

Technician wages             $8,600                $8,450      8,600        150   F    

Mobile lab operating exp. $4,600      $34  $9,200      9,700        500   F

Office expenses                $2,800         $3  $3,070     3,250         180   F

Advertising expenses        $1,580                $1,650      1,580          (70)  U

Insurance                           $2,890              $2,890      2,890          0   N/A

Miscellaneous expenses     $930         $1     $375       1,080        705   F

Total                                                           $10,255   $14,300   $4,045   U

Explanation:

a) Data and Calculations:

                                           Fixed     Variable  Actual

Revenue                                             $276 $35,890  

Technician wages             $8,600                $8,450  

Mobile lab operating exp. $4,600      $34  $9,200  

Office expenses                $2,800         $3  $3,070  

Advertising expenses        $1,580                $1,650  

Insurance                           $2,890              $2,890  

Miscellaneous expenses     $930         $1     $375

Expected number of jobs to be worked = 140

Actual number of jobs worked = 150

Flexible costs:

Revenue = $276 * 150 = $41,400

Mobile lab operating expense:

Fixed element = $4,600

Variable element = $34 * 150 = $5,100

Total flexible budget = $9,700

Office Expenses:

Fixed element = $2,800

Variable element =  $3 * 150 = $450

Total flexible budget =  $3,250

Miscellaneous expenses:

Fixed element = $930

Variable element = $1 * 150 = $150

Total flexible budget = $1,080

Spending Variances:

Technician wages             $8,600                $8,450      8,600        150   F      

Advertising expenses        $1,580                $1,650      1,580          (70)  U

Insurance                           $2,890              $2,890      2,890          0   N/A

Spending variances = $80 F

Activity Variances:

Mobile lab operating exp. $4,600      $34  $9,200      9,700        500   F

Office expenses                $2,800         $3  $3,070     3,250         180    F

Miscellaneous expenses     $930         $1     $375       1,080        705    F

Total activity variances = $1,385 F

Which of the following best illustrates Hofstede's definition of collectivism?
a. Managers at Honest Tea expect that all employees will have an interest and part in environmental sustainability
b. The founder of Honest Tea stresses the importance of equality and opportunity
c. An employee of Honest Tea prefers to work alone and puts him- or herself above others
d. The managers of Honest Tea prefer tradition over change
e. Employees in Honest Tea have high levels of anxiety about uncertainty

Answers

Answer:

a. Managers at Honest Tea expect that all employees will have an interest and part in environmental sustainability

Explanation:

Analyzing the information about Honest Tea, it is possible to understand that sustainability is an issue that has a lot of weight for the company, and all its processes are managed in an environmentally responsible manner. Therefore, it is correct to say that Honest Tea managers expect all employees to be interested and participate in environmental sustainability, as this is a value that identifies and positions the company in the market, and it is essential that this value is shared by all employees.

Environmental management is a form of management that provides significant advantages to an organization, as it standardizes procedures and policies to reduce environmental impacts, the company operates with a focus on continuous improvement that reduces costs, waste, makes work most satisfactory and sustainability as a shared value.

Wildhorse Locomotive Corporation purchased for $604,000 a 40% interest in Lopez Railways, Inc. This investment enables Wildhorse Locomotive to exert significant influence over Lopez Railways. During the year, Lopez Railways earned net income of $159,000 and paid dividends of $27,000. Prepare ZaneLocomotive’s journal entries related to this investment.

Answers

Answer:

Dr Equity Investments $604,000

Cr Cash $604,000

Dr Equity Investments $63,600

Cr Investment Income $63,600

Dr Cash $10,800

Cr Equity Investments $10,800

Explanation:

Preparation of ZaneLocomotive’s journal entries related to this investment.

Dr Equity Investments $604,000

Cr Cash $604,000

(Being to record Investment)

Dr Equity Investments $63,600

Cr Investment Income $63,600

(40% × $159,000)

(Being to record share in net income)

Dr Cash $10,800

Cr Equity Investments $10,800

(40% × $27,000)

(Being to record shares in dividend)

Camptown Togs, Inc., a children’s clothing manufacturer, has always found payroll processing to be costly because it must be done by a clerk so that the number of piece-goods coupons received by each employee can be collected and the types of tasks performed by each employee can be calculated. Not long ago, an industrial engineer designed a system that partially automates the process by means of a scanner that reads the piece-goods coupons. Management is enthusiastic about this system because it utilizes some personal computer systems that were purchased recently. It is expected that this new automated system will save $45,000 per year in labor. The new system will cost about $30,000 to build and test prior to operation. It is expected that operating costs, including income taxes, will be about $5,000 per year. The system will have a five-year useful life. The expected net salvage value of the system is estimated to be $3,000.
(a) Identify the cash inflows over the life of the project.
(b) Identify the cash outflows over the life of the project.
(c) Determine the net cash flows over the life of the project.

Answers

Answer:

a. Time period   Cash Inflow

    Year 1              $45,000

    Year 2             $45,000

    Year 3             $45,000

    Year 4             $45,000

    Year 5             $48,000 ($45,000+$3,000)

b. Time period   Cash Outflow

    Year 0             $30,000

    Year 1              $5,000

    Year 2             $5,000

    Year 3             $5,000

    Year 4             $5,000

    Year 5             $5,000

c. Time period   Cash Inflow  Cash Outflow  Net Cash Flow

    Year 0              $0                  $30,000          -$30,000

    Year 1              $45,000         $5,000              $40,000

    Year 2             $45,000         $5,000              $40,000              

    Year 3             $45,000         $5,000              $40,000

    Year 4             $45,000         $5,000              $40,000

    Year 4             $48,000         $5,000              $43,000

The Oxford Company uses a job order cost system and applies factory overhead to jobs on the basis of direct labor cost. During the month of July, the following activities took place in the work-in-process account:

Beginning $15,000
Direct materials 10,000
Direct labor 30,000
Overhead applied 15,000
  
At the end of July, only one job (Job #15), was still in process. This job has been charged with $2,000 of direct materials cost.
Required:
Determine the amount of direct labor cost incurred and overhead applied in the ending inventory of work-in-process on July 31.

Answers

Answer:

See below

Explanation:

The amount of direct labor cost incurred is computed as;

= $30,000/$70,000 × $2,000

= $857

Overhead applied in ending working in the ending inventory of work in process on July 31

= $15,000/$70,000 × $2,000

= $429

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