Jeremy didn’t pay his previous month’s credit card bill in full. This month’s bill shows a finance charge of $85.50. Jeremy calculates the average daily balance in the new bill to be $5,343.75. What is the monthly percentage rate on the card? A.
1.6%
B.
1.92%
C.
16%
D.
19.2%

The monthly percentage rate would be 1.6%

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You're asking in the ap section, so i'll give the ap calculus-style answer. alternatively, you can find the vertex of the parabola and use the "y"-coordinate as the answer.

the maximum height can occur at a critical number, that is, a number  such that  .

the derivative of  can be calculated as follows:



find a value of  that is a zero of the derivative:


this is parabola that is opening downward; we can assume there is a maximum at  .

to find that maximum, calculate  .