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uysha [10]
3 years ago
15

Kevin and Randy Muise have a jar containing 4444 ​coins, all of which are either quarters or nickels. The total value of the coi

ns in the jar is ​$nbsp 7.20 7.20. How many of each type of coin do they​ have?
Business
1 answer:
aev [14]3 years ago
6 0

Answer:

they have 25 quarters and 19 nickels

Explanation:

let N = number of nickels

let Q = number of quarters

5N + 25Q = 720

N + Q = 44

N = 44 - Q (now we must replace)

5(44 - Q) + 25Q = 720

220  - 5Q + 25Q = 720

20Q = 720 - 220 = 500

Q = 500 / 20 = 25

N = 44 - 25 = 19

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we must first determine the market price of the bonds:

PV of face value = $2,000,000 / (1 + 5%)²⁰ = $753,778.97 ≈ $753,779

PV of coupon payments = $110,000 x 12.462 (PV annuity factor, 5%, 20 periods) = $1,370,820

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January 1, 2018, bonds are issued at a premium

Dr Cash 2,124,599

    Cr Bonds payable 2,000,000

    Cr Premium on bonds payable 124,599

b. Prepare a bond amortization schedule up to and including January 1, 2022

since we are not told which amortization method to use, I will use the straight line method.

Date           Interest        Cash              Premium          Carrying

                  expense      paid               amortization     value

7/2018        $103,770     $110,000       $6,230             $2,118,369

1/2019         $103,770     $110,000       $6,230             $2,112,139

7/2019        $103,770     $110,000       $6,230             $2,105,909  

1/2020        $103,770     $110,000       $6,230             $2,099,679    

7/2020       $103,770     $110,000       $6,230             $2,093,449

1/2021         $103,770     $110,000       $6,230             $2,087,219  

7/2021        $103,770     $110,000       $6,230             $2,080,989                              

1/2022        $103,770     $110,000       $6,230             $2,074,759                                

c. Prepare the journal entries to record the interest payments on January 1, 2020 and January 1, 2021.

bond premium amortization per coupon = 124,599 / 20 = $6,229.95 ≈ $6,230

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Dr Premium on bonds payable 6,230

    Cr Cash 110,000

January 1, 2021, coupon payment

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Dr Premium on bonds payable 6,230

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d. Prepare the journal entry to record the bond called on January 2021 at 106

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Dr Premium on bonds payable 87,219

Dr Loss on retirement of debt 32,781

    Cr Cash 2,120,000

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