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steposvetlana [31]
2 years ago
14

lucy invests $800 in an account that earns 6.12% annual interest compounded continuously. juan invests $1600 in an account that

earns 3.9% annual interest compounded continuously. find when the value of lucys investment equals the value of juans investment?
Business
1 answer:
Len [333]2 years ago
7 0

Answer:

Both their investments will reach a similar value in 32 years, 9 months and 8 days. Both accounts will have exactly $5,606.

Explanation:

Original investment:              $800 at 6.12%                    $1,600 at 3.9%          

future value 10 years                     $1,449                                $2,346

future value 20 years                   $2,624                                $3,439

future value 30 years                   $4,753                                $5,042

future value 31 years                    $5,044                                $5,238

future value 32 years                   $5,353                                $5,442

future value 33 years                   $5,681                                 $5,655

It will take over 32 years for both investments to match their amounts.

to determine the approximate month we start with the future value in 32 years:

                                                         $5,353                          $5,442

future value in 6 months                 $5,517                           $5,548

future value in 9 months                $5,599                           $5,601

future value in 9 months                                                                          

and 5 days                                      $5,603                           $5,604

future value in 9 months                                                                          

and 8 days                                      <u>$5,606</u>                           <u>$5,606</u>

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AleksAgata [21]

Answer:

Explanation:

The journal entry is shown below:

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Premium on bonds payable A/c Dr $23,970

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         To Cash A/c $672,000                     ($640,000 × 1.05)

(Being the redemption of bond is recorded and the remaining balance is debited to the Loss on bonds redemption account)

The Premium on bonds payable is computed below:

= Carrying value of the bonds - face value of the bond

= $663,970 - $640,000

= $23,970

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2 years ago
Pluton makes particular plastics for sale to the public and the government. Basic cost data for a 100-pound drum of one particul
shepuryov [24]

Answer:

Option (D) is correct.

Explanation:

Variable overhead per pound:

= variable overheads ÷ pounds of products to be produced

= 1,200,000 ÷ 1,000,000

= 1.2

Direct labor hours = 20 workers × 175 hours

                              = 3,500

Direct labor cost = Direct labor hours × 24

                            = 3,500 × 24

                            = 84,000

Machine hours = 21,000

Fixed overhead = $3,500,000 per month

Labor related (40%) = 1,400,000 ÷ 3,500 hours

                                 = 400

Machine related (60%) = 2,100,000 ÷ 21,000 hours

                                      = 100

Total cost of conversion:

= Direct labor cost + Variable overheads + Fixed overheads

= Direct labor cost + Variable overheads + (Labor related + Machine related)

= 10 min(24 ÷ 60 min) + (100 × 1.2) + [(400 ÷ 60)× 10 + (100 ÷ 60)× 75]

= 4 + 120 + 66.66666667 + 125

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2 years ago
The following is the ending balances of accounts at December 31, 2016, for the Weismuller Publishing Company.
Inessa05 [86]

Answer:

<h2>Weismuller Publishing Company</h2>

Balance Sheet

As of December 31, 2016

Assets:

Current Assets:

Cash                                         $65,000

Accounts receivable 160,000

less Allowance            16,000   144,000

Inventories                               285,000

Prepaid expenses                     148,000

Investments                              140,000    $782,000

Long-term Assets:

Machinery and equipment     320,000

Accumulated

depreciation equipment         110,000     $210,000

Total Assets                                             $992,000

Current Liabilities:

Accounts payable                                       60,000

Interest payable                                          20,000

Deferred revenue                                       80,000

Taxes payable                                             30,000

Notes payable                                             60,000

Total current liabilities                           $250,000

Long-term liabilities:

Notes payable                                           140,000

Equity:

Common stock

Authorized, 800,000 shares at no par

Issued & outstanding, 400,000 shares 400,000

Retained earnings                                  202,000

Total Equity                                           $602,000

Total Liabilities + Equity                       $992,000

Explanation:

a) Data and Calculations:

Weismuller Publishing Company

Unadjusted Trial Balance as of December 31, 2016:

Account Title                           Debits        Credits

Cash                                    $65,000

Accounts receivable            160,000

Inventories                          285,000

Prepaid expenses                148,000

Machinery and equipment 320,000

Accumulated depreciation equipment    $110,000

Investments                         140,000

Accounts payable                                       60,000

Interest payable                                          20,000

Deferred revenue                                       80,000

Taxes payable                                             30,000

Notes payable                                          200,000

Allowance for uncollectible accounts        16,000

Common stock                                        400,000

Retained earnings                                  202,000

Totals                             $1,118,000      $1,118,000

b) Notes Payable:

Current $60,000 ($40,000 + $20,000)

Long-term $140,000 ($200,000 - $60,000)

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Answer:

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