Question

1. felix and oscar applied for the same credit card from the same bank. the bank checked both of their fico scores. felix had an excellent credit rating, and oscar had a poor credit rating.

a. felix was given a card with an apr of 14%. what was his monthly percentage rate? round to the nearest hundredth of a percent.
b. oscar was given a card with an apr of 21%. what was his monthly percentage rate? round to the nearest hundredth of a percent.
c. if each of them had an average daily balance of $800 for a specific month, and had to pay a finance charge, how much more would oscar pay than felix?

Explanation:

Step1: Calculate Felix's monthly rate

Since APR (Annual Percentage Rate) is divided by 12 to get the monthly rate. For Felix, \( APR = 14\%=0.14 \). The monthly rate \( r_{Felix}=\frac{0.14}{12}\approx 0.0117 = 1.17\% \)

Step2: Calculate Oscar's monthly rate

For Oscar, \( APR = 21\% = 0.21 \). The monthly rate \( r_{Oscar}=\frac{0.21}{12}=0.0175=1.75\% \)

Step3: Calculate finance charges

The finance - charge formula is \( Finance\ charge=Average\ daily\ balance\times Monthly\ rate \).
For Felix, with \( Average\ daily\ balance=\$800 \) and \( r_{Felix}=\frac{0.14}{12} \), \( Finance\ charge_{Felix}=800\times\frac{0.14}{12}=\frac{800\times0.14}{12}=\frac{112}{12}\approx\$9.33 \)
For Oscar, with \( Average\ daily\ balance = \$800 \) and \( r_{Oscar}=\frac{0.21}{12} \), \( Finance\ charge_{Oscar}=800\times\frac{0.21}{12}=\frac{800\times0.21}{12}=\frac{168}{12}=\$14 \)
The difference in finance charges \( \Delta=Finance\ charge_{Oscar}-Finance\ charge_{Felix}=14 - 9.33=\$4.67 \)

Answer:

A. \( 1.17\% \)
B. \( 1.75\% \)
C. \( \$4.67 \)