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dangina [55]
2 years ago
14

Industrial tools owes you $38,600. this amount is seriously delinquent so you have offered to accept weekly payments for one yea

r at an interest rate of 3 percent to settle this debt in full. what is the amount of each payment?
Business
1 answer:
lesantik [10]2 years ago
3 0
The problem could be solved by using the future value (FV) formula: FV = PV × (1 + r)ⁿ, where;
PV = Present value
r = interest rate
n period

So, substituting the formula with the value:

FV = $38,600 × (1 + (.03÷52))⁵²
     ≈ $39,775.20

Note that the interest is divided by 52 since it has to be compounded weekly.

So, the weekly payment will amount to $764.91 ($39,775.20÷52).
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If we were able to invest a Gradient = $100 at the end of each year for 7 years at 6% interest (i.e., So at the end of year 1, $
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Answer:

We can withdraw an equivalent annuity of  $ 293.658 each year.

Explanation:

We build a scheduled table to know the future value of the gradient investment

Time    Beg        Gradient          Total             Rate Ending

1  $100.00   $100.00  $100.00           0.060   $106.00

2  $106.00   $100.00   $206.00   0.060   $218.36

3  $218.36   $200.00   $418.36   0.060   $443.46

4  $443.46   $300.00   $743.46   0.060   $788.07

5  $788.07   $400.00   $1,188.07   0.060   $1,259.36

6  $1,259.36   $500.00   $1,759.36   0.060   $1,864.92

7  $1,864.92   $600.00   $2,464.92   0.060   $2,612.81

Then, we solve for the equivalent annuity-due:

PV \div \frac{1-(1+r)^{-time} }{rate}(1+rate) = C\\

PV 2,613

time 7

rate 0.06

2612.81 \div \frac{1-(1+0.06)^{-7} }{0.06}(1+0.06) = C\\

C  $ 293.658

Itis annuity due as we will going to retire cash in a 6 year period for  seven times. (at each year-end during 6 years thus, annuity-due

1st      2nd     3rd   4th    5th    6th   7th

/-------/-------/-------/-------/-------/-------/-------/

         1       2       3        4      5        6       7

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Able, Baker, and Carter have partnership capital account balances of $600000 each. Income and losses are shared equally. Carter
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Answer and Explanation:

The Journal entry is shown below:-

Carter's Capital Dr $600,000

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