How long will it take an investment of 9000 to double if the
How long will it take an investment of $9,000 to double if the investment earns interest at the rate of 9%/ year compounded continuously
Solution
Raviteja was right until he took the log, as he calculated the base 10 log of 2 rather than the natural log of 2. Compound interest if compounded continously, A=Pe ^ (r*t) is the formula => 9000*2=9000 e^((9/100)*t) 2=e^(0.09*t) ln2=0.09*t =>t=0.693147/0.09 (because ln2 is 0.693147) t= 7.701635 years or approximately 7.7 years Note that this is close to the daily answer.