How much will $100 grow to if invested at a continuously compounded interest rate of 10% for 8 years?

It will grow to $222.55.

Step-by-step explanation:

The formula for continuosly compounded money quantities is:

In which F is the final amount, that is, to how much the money grows, P is the initial deposit, r is the interest rate, as a decimal, and t is the time, in years.

In this problem, we have that:

So

It will grow to $222.55.