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Viefleur [7K]
3 years ago
12

Jada, when she turned 38, made an investment of $25,000 at an interest rate of 7.8% per year, compounded every 3 months. Now tha

t she is 44 years old, how much is the investment worth
Business
1 answer:
dimulka [17.4K]3 years ago
4 0

Answer:

When Jada is 44 years, the investment will be worth $39,741

Explanation:

time will be 44 - 38 = 6

t = 6 years

compounded every 3 month means 4 times a year (12/3 = 4)

n = 4

r = 7.8%

p = $25,000

FV = P(1 + \frac{r}{n} )^ {nt}\\FV = 25000(1 + \frac{0.078}{4})^{4 * 6}\\FV = 25000(1 + 0.0195)^{24}\\FV = 25000(1.0195)^{24}\\FV = 25000 * 1.589620748\\FV = 39740.518710589\\FV = 39741

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 General Journal    

     

Ref.  Account Title & explanation          Debit              Credit

a)                Cash                               $1,200,000    

                      Contribution                                             $400,000

                  Long term liability                                    $800,000

            (To record receipt of fund )      

b)              Equipment                        $890,000    

                             Cash                                             $890,000

              (To record purchase of equipment)      

c)                Supplies                              $120,000    

                      Accounts payable                               $30,000

                             Cash                                               $90,000

           (To record purchase of supplies)      

d)                  Cash                                   $350,000

                     Accounts receivable                  $50,000    

                             Sales                                             $400,000

                  (To record sales )      

e)        Supplies expenses                     $73,000    

                             Supplies                                               $73,000

              (To record supllies expenses)      

f)         Salaries and wages expenses      $19,000    

                                 Cash                                                $19,000

          (To record salaries and wages expenses)    

 Utilities expenses                                              $3,000    

 Cash                                                                                $3,000    

 (To record utilities expenses)      

g)  Depreciation expenses                        $80,000    

 Accumulated depreciation-Equipment                          $80,000

     (To record depreciation expenses)      

h)  Long term liability                               $200,000    

                    Cash                                                    $200,000    

 (To record payment of instalment of advance)    

     

Ref.  CASH ACCOUNT  Debit  Credit    

a)  Contribution  $400,000    

a)  Long term liabilities  $800,000    

b)  Equipment   $890,000    

c)  Supplies   $90,000    

d)  Sales  $350,000    

f)  Salaries & wages expenses   $19,000    

f)  Utilities expenses   $3,000    

h)  Long term liabilities   $200,000    

 Balance   $348,000    

 TOTAL  $1,550,000  $1,550,000    

 Closing balance brought forward  $348,000    

     

 TRIAL BALANCE      

 Account  Debit  Credit    

 Cash  $348,000    

 Contribution   $400,000    

 Long term liabilities   $600,000    

 Equipment  $890,000    

 Supples  $        47,000   (120000-73000)  

 Accounts payable   $30,000    

 Accounts receivable  $50,000    

 Sales   $400,000    

 Supplies expenses  $73,000    

 Salaries and wages expenses  $19,000    

 Utilities expenses  $3,000    

 Depreciation expenses  $80,000    

 Accumulated depreciation-equipment   $80,000    

 TOTAL  $1,510,000  $1,510,000    

     

 INCOME STATEMENT      

 Contribution   $400,000    

 Sales   $400,000    

 Total income   $800,000    

 Expenses:      

 Supplies expenses  $73,000    

 Salaries and wages expenses  $19,000    

 Utilities expenses  $3,000    

 Depreciation expenses  $80,000    

 Total expenses   $175,000    

 Net Income   $625,000    

     

 BALANCE SHEET      

 ASSETS:      

 Cash  $348,000    

 Supples  $        47,000    

 Accounts receivable  $50,000    

 Equipment  $890,000    

 Accumulated depreciation  ($80,000)    

 Total assets  $1,255,000    

 Liabilities:      

 Accounts payable  $30,000    

 Long term liabilities  $600,000    

 Net assets  $625,000    

 Total Liabilities & net assets  $1,255,000  

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