A financial company, AAA Inc. wants to earn an effective annual rate of $9\%$ on its loan.$($a$)$ If the interest is compounded monthly, what APR monthly compounding must AAA charge?Another company BBB Inc. changes $8\mathrm{.}8\%$ APR quarterly compounded for its loan.$($b$)$ You are looking to take a loan and you only have $2$ choices, either AAA or BBB$.$ Which one will you choose and why?Calculation