A sum of ₹50 000 is deposited in a bank that offers continuous compounding at a nominal annual rate of 6 %.
a. (i) Write an expression for the amount A(t) in the account t years after the deposit.
b. (ii) Calculate the amount in the account after 3 years, correct to the nearest rupee.
c. (iii) Determine the time, to two decimal places, required for the deposit to grow to ₹70 000.