Ariana has $1000 to put in a savings account. she is choosing between two banks. bank a offers 4% compounded quarterly and bank b offers 4.1% compounded semiannually. if ariana plans on keeping her money in a savings account for a year, which bank would pay her more in interest, and by how much?
a. bank b by 40 cents
b. bank a by 82 cents
c. bank b by 82 cents
d. bank a by 40 cents