Suppose you invest $4400 in a credit union that offers 0.6% nominal interest.

a) How much will your credit union investment be worth in five years and six months if the interest is compounded

i) monthly

ii) continuously

b) Under quarterly compounding, how long does it take for your credit union investment to be doubled?

c) Suppose instead that the credit union advertises "our continuous interest at rate r% will double your money in twenty years''. What rate r of interest are they offering?