# Compounding Interest Continuously

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• Apr 1st 2009, 07:50 PM
fran_eric_07
Compounding Interest Continuously
Susan invested $5000.00 at 10% compounded semiannually. In how many years will susan's investment have tripled? Round your answers to the nearest tenth.(Headbang) • Apr 2nd 2009, 03:33 AM mr fantastic Quote: Originally Posted by fran_eric_07 Susan invested$5000.00 at 10% compounded semiannually. In how many years will susan's investment have tripled? Round your answers to the nearest tenth.(Headbang)

Is it 10% per annum? I will assume so.

$A = 5000 \left( 1 + \frac{5}{100}\right)^n$ where n is the number of half years.

So solve $15000 = 5000 \left( 1 + \frac{5}{100}\right)^n$ for n.