Amit deposits in a bank that credits interest continuously at a fixed annual rate of 6 %

MATHEMATICS · Multi-part · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Amit deposits ₹2,50 000₹2,50\,000 in a bank that credits interest continuously at a fixed annual rate of 6\%. Treat the interest as being compounded continuously. (i) Calculate the value of Amit’s deposit on 1 July 2025, given that the deposit was made on 1 January 2022. (ii) Determine, correct to the nearest month, how long it will take for the deposit to reach ₹4 00 000₹4\,00\,000.

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