(1) Show that if $1000 is invested at 8% interest compounded annually, then it will double in about 9 years. (Note: 9 = 72/8.) (2) Show that if $1000 is invested for 6 years, then it will approximately double in that time if it appreciates at 12% per year. (Note: 12 = 72/6.)

Respuesta :

If $1000 is invested at 8% interest compounded annually, then it will double in about 9 years:

1. In 9 years, a value of $1000  invested at 8%

= 1000×(1.08)⁹ =$ 1999.005 ≈ $2000

which is almost double =$1000

Hence the rule of 72  (72/8 =9) is verified.

2. In 6 years, a value of $1000 invested at 12.1

= 1000× 1.12⁶

= $1973.8

which is 1.97 (≈ 2) times $1000

Hence the rule of 72 (72/12= 6) is verified.

In finance and economics, interest is a payment from a borrower or deposit-taking financial group to a lender or depositor of an amount above compensation of the principal sum, at a specific price. it's miles distinct from a price that the borrower may additionally pay the lender or a few third birthday parties.

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