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IrinaK [193]
3 years ago
13

How many years will it take for an initial investment of $ 50 comma 000 to grow to $ 75 comma 000 question mark Assume a rate of

interest of 5​% compounded continuously
Business
2 answers:
vaieri [72.5K]3 years ago
6 0

Answer:

It will take approximately 8.31 years or 8 years and 4 months to earn $75,000 by investing $50,000 at 5% compounded continuously.

Explanation:

Compound of interest is the addition of interest value in principal amount to calculate further interest on the interest and principal amount as well.  It other words it is Interest on Interest situation. Reinvesting of interest value is the concept behind this.

We use following formula to calculate the period required to earn compounded value.

Future Value = Present value ( 1 + rate of Interest )^number of period

$75,000 = $50,000 x ( 1 + 0.05 )^n

$75,000 / $50,000 = ( 1.05 )^n

1.50 = 1.05^n

log 1.50 = n log 1.05

n = log 1.5 / log 1.05

n = 8.31

Tomtit [17]3 years ago
3 0

Answer:

It will take 8 years and 113 days.

Explanation:

Giving the following information:

How many years will it take for an initial investment of $50,000 to grow to $75,000.

We need to use a variation of the future value formula:

FV= PV*(1+i)^n

Isolation n:

n=[ln(FV/PV)]/ln(1+r)

n= [ln(75000/50,000)] / ln(1.05)= 8.31

To be more accurate:

0.31*365= 113

It will take 8 years and 113 days.

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Answer:

a. 1. Debit Accounts receivable $180,000

Credit Sales $180,000

2. Debit cash $125,000

Credit Accounts receivable $125,000

3. Debit Sales return $20,000

Credit $20,000

4. Debit Provision for bad debts expense $35,000

Credit Accounts receivable $35,000

5. Debit Accounts receivable $ $2,500

Credit Provision for bad debts expense $2,500

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Credit Accounts receivable $2,500

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Credit provision for bad debt expense $27,500

Explanation:

1. Sale on account will increase the accounts receivable. So we have to debit accounts receivable and credit to sales in the amount of $180,000

2. Collections will decrease the accounts receivable due payments made by the customer. So we have to debit cash and credit accounts receivable by $125,000

3. Sales return is a contra asset account that will decrease the accounts receivable and also the net sales. So we will debit sales return and credit accounts receivable in the amount of $20,000

4. Write offs will decrease the provision for bad debts account as well as the accounts receivable accounts by $35,000

5. Recovery of bad debts previously written off has no effect in accounts receivable but will increase the provision for bad debts due to reversal of entry previously made. First, we will reverse the original written off entry. Debit Accounts receivable and credit provision for bad debts expense in the amount of $2,500. Then we will record the collection by debiting cash and crediting accounts receivable in the amount of $2,500

B. Let’s determine the balance of accounts receivable first,

Beg. $275,000 + 180,000 sale on account - 125,000 collection - 20,000 sales return - 35,000 write-off = $275,000

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Entry:

Debit Bad debts expense $27,500

Credit provision for bad debts expense $27,500

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Answer:

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Explanation:

the expansion f the money supply will be:

the money multiplier will be:

1/reserve ratio = 1/0.125 = 8

300,000 x 8 = 2,400,000

The reasoning for the multiplier effect is the following:

once the money is received, it will be used, and the person who receive the cash will deposit their proceeds.

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Answer:

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