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Question -

Ina 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.



Answer -

Let p and t bethe principal and time respectively.

Itis given that the principal increases continuously at the rate of 5% per year.

Integratingboth sides, we get:

Now, when t = 0, p =1000.

1000 = eC … (2)

At t = 10, equation (1)becomes:

Hence,after 10 years the amount will worth Rs 1648.

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