Final answer:
The accrued interest on December 31 is $2,594.79.
Step-by-step explanation:
To calculate the accrued interest on December 31, we need to find the interest for each period and add them together.
From May 6 to June 10, the time period is 35 days (100 days - 65 days). The interest is $700 ($14,000 x 0.05).
From June 10 to September 4, the time period is 86 days. The interest is $1,430 ($14,000 x (0.0825/365) x 86).
From September 4 to November 5, the time period is 62 days. The interest is $310 ($14,000 x (0.0825/365) x 62).
From November 5 to December 31, the time period is 56 days. The interest is $154.79 ($14,000 x (0.05/365) x 56).
The total accrued interest on December 31 is $2,594.79 ($700 + $1,430 + $310 + $154.79).