In a bank, principal increases continuously at the rate of 5% per year. An amount of Rs 1000 is deposited with this bank, how much will it worth after 10 years (e0.5 = 1.648).
Let p and t be principal and time respectively.
Given that principal increases continuously at rate of 5% per year.
![]()
Separating variables,
![]()
Integrating both sides,
![]()
![]()
When t = 0, p = 1000
![]()
At t = 10
![]()
![]()
![]()
![]()
So after 10 years the total amount would be Rs.1648