In a bank, principal increases continuously at the rate of 5% per year. An amountof Rs 1000 is deposited with this bank, how much will it worth after 10 years`(e^(0. 5)=1. 648)`

Explanation

Given,

`=>(dp)/​(dt)=(5/(100)​)p`

`=>(20dp)/p​=dt`

`=>20lnp=t+c`

`=>p=e^(t/(20)​+k)`


at `t=0,p=1000 and e^k=1000`

at `t=10`

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