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Ilia_Sergeevich [38]
3 years ago
7

You need to accumulate $10,000. To do so, you plan to make deposits of $1,000 per year - with the first payment being made a yea

r from today - into a bank account that pays 14% annual interest. Your last deposit will be less than $1,000 if less is needed to round out to $10,000. How many years will it take you to reach your $10,000 goal
Business
1 answer:
evablogger [386]3 years ago
7 0

Answer:

It will take 6.68 years to reach the $10,000 goal.

Explanation:

As the deposit of $1,000 per year is a form of the annuity payment.

We will use the following formula in order to calculate the numbers of year required to reach the goal

Future value of Annuity = Annuity payment x ( ( ( 1 + interest rate )^numbers of years ) - 1 ) / Interest rate

Where

Future value of Annuity = Target amount = $10,000

Annuity payment = Yearly deposti = $1,000

Interest rate = 14%

Numbers of years = n = ?

Placing values in the formula

Future value of Annuity = Annuity payment x ( ( ( 1 + interest rate )^numbers of years ) - 1 ) / Interest rate

$10,000 = $1,000 x ( ( ( 1 + 14% )^n ) - 1 ) /14%

$10,000 x 14% = $1,000 x ( ( ( 1.14 )^n ) - 1)

$1,400 = $1,000 x ( ( ( 1.14 )^n ) - 1)

$1,400 / $1,000 = ( ( 1.14 )^n ) - 1

1.4 = ( ( 1.14 )^n ) - 1

1.4 + 1 = 1.14^n

2.4 = 1.14^n

Log 2.4 = n x Log 1.14

n = Log 2.4 / Log 1.14

n = 6.681525965

n = 6.68 years

It will take 6.68 years to reach the $10,000 goal.

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Minstrel Manufacturing uses a job order costing system. During one month, Minstrel purchased $206,000 of raw materials on credit
neonofarm [45]

Answer:

$14,000 under applied

Explanation:

Given that

Material production = $203,000

Application rate = 150%

The computation of amount of overhead is shown below:-

Overhead = Material production × Application rate

= $203,000 - ($126,000 × 1.5)

= $203,000 - $189,000

= $14,000 under applied

Therefore, for computing the overhead we simply multiply the material production with application rate percentage.

3 0
2 years ago
g if 1 British pound can be exchanged for 180 cents of U.S. currency, what fraction should be used to compute the indirect quota
Mrrafil [7]

Answer: 1/1.8

Explanation:

From the question, we are informed that 1 British pound can be exchanged for 180 cents of U.S. currency. To get the fraction that should be used to compute the indirect quotation of the exchange rate expressed in British pounds, we have to change the 180 cents to dollars first.

Since 100 cents = 1 dollar, 180 cents = 1.8 dollars. Therefore, fraction should be used to compute the indirect quotation of the exchange rate expressed in British pounds will be:

= 1/1.8

7 0
2 years ago
IRB continuing review of a greater than minimal risk approved protocol that is currently enrolling subjects must ______________-
Stolb23 [73]

Answer:

Occur at least annually

Explanation:

Greater than minimal risk protocols that have been approved must undergo review at least once a year. However IRBs usually specify a shorter period than this for reviews. The principal investigator holds the duty of ensuring that signed consent forms are kept confidential. The IRB are not required to review these confidential forms.

6 0
3 years ago
Which of the following characterizes how conditions in China have challenged the world's food supply?
Ratling [72]

Answer:China is an extremely health conscious nation, and many people are vegetarians.

Explanation: i guessed

6 0
2 years ago
Way Cool produces two different models of air conditioners. The company produces the mechanical systems in its components depart
Arlecino [84]

Answer:

Way Cool

1. Overhead Cost per unit for each product line:

                                      Model 145                        Model 212

Overhead cost per unit    $434.97                         $457.59

2. Total cost per unit for each product line:

                                      Model 145                        Model 212

Total cost per unit           $634.97                          $569.59

3. The profit or loss per unit for each model:

                                      Model 145                        Model 212

Market price                      515.95                             303.34

Loss per unit                   $119.02                          $266.25

Explanation:

a) Data and Calculations:

Process Activity     Overheads   Driver Quantity     Components  O/H rates

Changeover          $ 627,450     Number of batches        890          $705

Machining                 379,155      Machine hours            8,050            $47.10

Setups                      108,000      Number of setups            60       $1,800

Total                     $ 1,114,605

Finishing

Welding                 $ 220,580     Welding hours             4,100       $538

Inspecting                 254,200     Number of inspections 820       $310

Rework                        47,200     Rework orders               160       $295

Total                       $ 521,980

Support Purchasing $ 158,600   Purchase orders           488      $325

Providing space            30,900   Number of units        8,400      $3.68

Providing utilities         126,180    Number of units        8,400      $15.02

Total                        $ 315,680

Additional production information concerning its two product lines follows.

                                 Model 145      Model 212

Units produced            2,800             5,600

Welding hours                800              3,300

Batches                           445                 445

Number of inspections   510                 310

Machine hours            2,750             5,300

Setups                               30                  30

Rework orders                 90                   70

Purchase orders            325                 163

                                 Model 145                            Model 212

Units produced            2,800                                  5,600

Welding hours              $430,400 (800*$538)    $1,775,400 (3,300 * $538)

Batches                            313,725 (445*$705)          313,725 (445*$705)

Number of inspections    158,100 (510*$310)             96,100 (310*$310)

Machine hours                129,525 (2,750*$47.10)   249,630 (5,300*$47.10)

Setups                               54,000 (30*$1,800)          54,000 (30*$1,800)

Rework orders                 26,550 (90*$295)            20,650 (70*$295)

Purchase orders             105,625 (325*$325)          52,975 (163*$325)

Total overhead costs $1,217,925                       $2,562,480

Units produced            2,800                                  5,600

Overhead cost per unit    $434.97                         $457.59

Direct labor and materials 200.00                             112.00

Total cost per unit           $634.97                          $569.59

Market price                      515.95                             303.34

Loss per unit                    $119.02                          $266.25

4 0
2 years ago
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