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sineoko [7]
3 years ago
13

Larry Mitchell invested part of his $ 35 comma 000$35,000 advance at 4 %4% annual simple interest and the rest at 9 %9% annual s

imple interest. If his total yearly interest from both accounts was $ 3 comma 100$3,100​, find the amount invested at each rate.
Business
1 answer:
SVEN [57.7K]3 years ago
4 0

Answer:

$1,000; $34,000

Explanation:

Total investment = $35,000

Total yearly interest from both accounts = $3,100

Let the amount invested at 4% be x,

Amount invested at 9% = $35,000 - x

Simple interest = Principle × Rate of interest × Time period

$3,100 = (x × 0.04 × 1) + [($35,000 - x) × 0.09 × 1]

$3,100 = 0.04x + ($35,000 × 0.09) - 0.09x

$3,100 = 0.04x + $3,150 - 0.09x

0.05x = $50

x = $1,000

Therefore,

Amount invested at 4% = x = $1,000

Amount invested at 9% = $35,000 - x

                                       = $35,000 - $1,000

                                       = $34,000

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3 years ago
Riley Company promises to pay Janet Anderson or her estate $150,000 per year for the next 10 years, even if she leaves the compa
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Answer:

The Answer is explanatory so it is given as under:

Explanation:

<u>Part 1. At the start of the year:</u>

The part of the salary includes $150,000 per year for the next 10 years and this must be recorded as an deferred compensation liability. All we have to do is to calculate the present value of the annual salary payments.

Present Value = Annual Payment * Annuity factor

And for Annuity factor we will use 5% rate of interest.

So

Annuity Factor = (1 - (1-r)^n) / r

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n = 10 years

Which means

Annuity Factor = (1 - (1 + 5%)^10)  / 5%   = 7.722

Hence

Present value = $150,000 * 7.722 = $1,158,260

So the journal entry would be as under:

Dr Deferred Compensation expense $1,158,260

Cr    Deferred Compensation Liability $1,158,260

<u>Part 2. At the end of the Year 1:</u>

At the first year end, the annual payment of $1,158,260 will be discounted back by using the following formula:

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Remember for the first year n is 10, for second n is 9 and so on.

Discounted Back Amount = 150,000 x (1 - 0.614) = $57,913

Dr Deferred Compensation Expense   $57,913

Cr    Deferred Compensation Liability        $57,913

Part 3. And when the first payment of the salary is made, the journal entry would be:

Dr Deferred compensation Liability $ 150,000

Cr                                       Cash Account    $150,000

Likewise we will till the year 10 and will record the part 2 and part 3 until at the end of the year 10, the whole of the deferred tax liability is reduced to zero.

The life insurance policy payments can not be offset against the deferred compensation liability because it will be accounted for as a different transaction and hence must not be treated as Riley desires.

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When should a writer establish common ground before the bottom line statement?
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