I would be grateful for some help with this question.

Bank A offers to pay continuous interest on your savings with the time dependent interest rate $\displaystyle r(t)= 0.001(1+sin{\pi t})$. Bank B with time dependent rate $\displaystyle r(t)=0.07 \exp^{0.1t}$ and C with constant rate $\displaystyle r(t)=0.68$ where t denotes time in units of years. you want to fix your saving for one year. which offer should you choose? for the best offer, what do you have in your account after 1 year if you intially deposited £1000?