Georgina Truong invested $$6000$ at $4\mathrm{.}5\%$ per annum for three years. The interest is compounded quarterly. Ebony Van Hecke invested $$6000$ at $4\mathrm{.}2\%$ per annum for three years. The interest is compounded monthly. Who earns more money over the three years? How much more?

Wendy is considering which bank to take out a loan from. Bank A offers to lend her $$12000$ at a $3\%$ interest rate compounded monthly, for a $3$ year term. Bank B offers to lend her $$12000$ compounded quarterly at $4\%,$ for a two year term. On which loan will you owe more interest, and how much more will