Michelle deposited $1,600 into an account that is compounded continuously with an annual interest rate of 8%. After t years, there was $3,200 in the account. Based on the given information, if the formula for continuously compounded interest is A = P e r t , where P represents the initial amount of money, r represents the annual interest rate (as a decimal), t represents the number of years, and A represents the amount of money after t years, how many years had the money been in the account? Express your answer as a logarithm.

As a logarithm, the money had been in the account for years.

Step-by-step explanation:

The amount of money in the account after t years is given by:

In which P is the initial amount deposited and r is the interest rate, as a decimal.

Michelle deposited $1,600 into an account that is compounded continuously with an annual interest rate of 8%.

This means that

After t years, there was $3,200 in the account. How many years had the money been in the account?

This is t for which . So

As a logarithm, the money had been in the account for years.

1/800 is the right answer