Determine how much $10,000 will grow to over five years under the following assumptions:
(a) Annual compounding at an 8% rate
(b) Monthly compounding at an 8% rate (if the periods aren't given, you should always assume the rate is given as an annual amount).
(c) Annual compounding at a 0% rate
(d) Monthly compounding at a 0% rate
Please show your work.