To find the ending balance for an
investment with continuous compounding, we can use the formula for continuously
compounded interest:
where:
is the amount after years,
is the initial investment (principal),
is the annual interest rate (in decimal
form),
is the number of years,
is the base of the natural logarithm.
Identify the values:
The principal is .
The annual interest rate is (16%
as a decimal).
The time is years.
Set up the equation:
Substitute the values into the formula: