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gayaneshka [121]
3 years ago
9

Allison invested $23,000 in an account paying an interest rate of 6.7% compounded annually. Assuming no deposits or withdrawals

are made, how long would it take, to the nearest year, for the value of the account to reach $76,300
Business
1 answer:
Vadim26 [7]3 years ago
8 0

Answer:

18 years

Explanation:

Given that;

P= $23,000

A= $76,300

r= 6.7%

From

A = P(1 + r/100)^n

76,300 = 23,000 (1 + 0.067)^n

3.3 = (1.067)^n

Taking logarithm of both sides

log 3.3 = log (1.067)^n

log 3.3 = nlog(1.067)

n= log 3.3/log 1.067

n= 0.5185/0.0282

n= 18 years ( to the nearest year)

You might be interested in
Multiple Versus Single Overhead Rates, Activity Drivers Deoro Company has identified the following overhead activities, costs, a
WINSTONCH [101]

Answer:

Deoro Company

1. Unit cost using direct labor hours to apply overhead:

Unit Cost

Model A $167.985

Model B $226.99

2. Unit cost using the four activity drivers:

Unit Cost

Model A $133.97  

Model B $287.28

3. Activity-based costing method always produces the more accurate cost assignment.

Explanation:

a) Data and Calculations:

Activity                    Expected Cost      Activity Driver    Activity Capacity

Setting up equipment   $548,080       Number of setups          680

Ordering costs                 313,200        Number of orders     17,400

Machine costs                 939,400        Machine hours         42,700

Receiving                         343,000        Receiving hours         9,800

Total overhead costs $2,142,680

Activity Rates:

Setting up equipment   $806 per setup ($548,080/680)

Ordering costs              $18 per order ($313,200/17,400)

Machine costs              $22 per machine hour ($939,400/42,700)

Receiving                     $35 per receiving hour ($343,000/9,800)

                                    Model A            Model B

Direct materials        $600,000          $800,000

Direct labor               $480,000          $480,000

Overhead applied  $1,063,500        $1,018,200

Total costs              $2,143,500      $2,298,200

Units completed            16,000               8,000

Cost per unit                $133.97         $287.275

Direct labor hours          6,000               2,000

Number of setups             400                  200

Number of orders          6,000             12,000

Machine hours             24,000             18,000

Receiving hours             3,000               7,000

The company's normal activity is 8,000 direct labor hours.

Assignment of overhead costs:

                                        Model A                               Model B

Number of setups         $322,500 (400 * $806)    $161,200 (200 * $806)

Number of orders            108,000 (6,000 * $18)      216,000 (12,000 * $18)

Machine hours                528,000 (24,000 * $22)  396,000 (18,000 * $22)

Receiving hours               105,000 (3,000 * $35)    245,000 (7,000 * $35)

Total overhead applied $1,063,500                    $1,018,200

Overhead based on direct labor hours:

Total overhead costs = $2,143,680

Total direct labor hours = 8,000 (6,000 + 2,000)

Overhead rate per DLH = $267.96

Allocation of overhead:

                                    Model A                           Model B

Direct labor hours          6,000                            2,000

Overhead (DLH) $1,607,760 ($267.96 *6,000) $535,920 ($267.96  * 2,000)

                                    Model A            Model B

Direct materials        $600,000          $800,000

Direct labor               $480,000          $480,000

Overhead applied  $1,607,760          $535,920

Total costs             $2,687,760        $1,815,920

Units completed           16,000                8,000

Cost per unit            $167.985            $226.99

4 0
3 years ago
Clonex Labs, Inc., uses a process costing system. The following data are available for one department for October:
Alex73 [517]

Answer:

Equivalent units of Production = 46500 & 37800

Explanation:

At the start of October, Clonex Labs inc, started with 385000 units into production and at the end of the month it had completed 409000 units this means the difference between 409000 and 385000 is the number of units transferred to the next department (i.e 24000), now that we have computed this, we find ending work-in-process as follows:

Clonex Labs, Inc.                                           Materials   Conversion

Units transferred to the next department:    24000        24,000

Ending work in process :

Materials : 30000x75%                                  22500

Conversion : 30000x46%                                                    13800

                                                                      -------------        -------------

Equivalent units of Production =                    46500           37800            

                                                                     =========        ========  

3 0
3 years ago
Susan is hired as salesperson in a jewelry store. Being new to this industry, she does not possess a great deal of knowledge abo
lara [203]

Answer:

d. candor

Explanation:

Candor is the the quality of being honest and open when interacting with others. Candor is also referred to as bluntness or frankness. By informing customers that she will revert to their queries following consultation with the store manager, Susan exhibits candor.

6 0
3 years ago
W. W. Phillips Company produced 4,000 leather recliners during the year. These recliners sell for $400 each. Phillips had 500 re
andre [41]

Answer:

a. Statement of cost of goods manufactured.

                                                                        $                           $

Beginning work-in-process inventory                                   13,040

Raw Materials :

Beginning materials inventory                    46,800

Add Purchases of raw materials               320,000

Available for Production                            366,800

Ending materials inventory                         (66,800)         300,000

Direct labor                                                                         200,000

Indirect labor                                                                         40,000

Rent, factory building                                                           42,000

Depreciation, factory equipment                                        60,000

Utilities, factory                                                                       11,900

Ending work-in-process inventory                                      (14,940)

Cost of goods manufactured                                            652,000

b. Average cost of producing one unit of product in the year.

Average cost = Total Cost ÷ Total units produced

                      = $652,000 ÷ 4,000

                      = $163.00

c. Prepare an income statement for external users.

                                                                                             $

Sales (3,800 ×  $400)                                                  1,520,000

Less Cost of Goods Sold ($163.00 × 3,800)                (619,400)

Gross Profit                                                                    900,600

Less Expenses :

Salary, sales supervisor                                                 (90,000 )

Commissions, salespersons                                         (180,000 )

General administration                                                 (300,000)

Net Income / (Loss)                                                        330,600

Explanation:

<u>Determination of  leather recliners sold during the year.</u>

Units Sold = Opening Finished Inventory  + Units Produced - Ending Finished Inventory

                 = 500 + 4,000 - 700

                 = 3,800

Other Notes :

Include only manufacturing costs in the statement of goods manufactured.

External users would want to see an income statement prepared using an absorption costing system in line with financial reporting standards.

5 0
3 years ago
Which of the following could describe a point that lies on an input contract curve? a. An allocation of good X and good Y betwee
kiruha [24]

Answer:

An allocation of labor (L) and capital (K) between two firms that makes the firms' isoquant curves tangent in an Edgeworth box  ( C )

Explanation:

A contract curve is a curve on which the various final allocations of two goods or service between two people are represented and this could be mutually beneficial as well. hence the best description of a point that lies on an input contract curve is An allocation of labor (L) and capital (K) between two firms that makes the firms' isoquant curves tangent in an Edgeworth box

3 0
3 years ago
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