Math - Investments?

Question

how long, to the nearest year, will it take me to become a millionaire if I invest 1000 at 10% interest compounded continuously?

Answer 1

Around the year 1900 picasso was starving because no one would buy his paintings.
for the equivalent of 1000 you could have bought a picasso then.
You probably could have bought a couple.
go forward to the present day and his paintings can easily command 100,000,000. this is of course the exception.
The question is what year would they have been worth a million.
I suppose my point that this ain t answering the question because you asked about investing money in a bank at 10%
and I m talking about making you a multimillionaire in less than 100 years
sorry

Answer 2

the formula for continuos interest is
Final capital = initial capital* e^rt wher r is the yealy interest in per one(not percent) and t time in years

1,000,000 = 1000 e^0,1t.

1,000= e^0,1t log(1000) = 0,1t t= (log1000)/0.1 =69 years