An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded
continuously. The equation 100e0.05= 150 represents the situation, where t is the number of years the
money has been invested. About how long has the money been invested? Use your calculator and round
to the nearest whole number.
years
DONE

8 years

Step-by-step explanation:

An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation  represents the situation, where t is the number of years the money has been invested.

To find out how long has the money invested we need to find out 't'

, solve for t

divide both sides by 100

Now to remove 'e' we take ln on both sides

the value of

Now divide by 0.05 on both sides

t = 8.10930

The money is invested for 8 years