The amount of interest in the 133rd payment will be $328.45.
Since the amount of principal in her 82nd payment is $259.34, and the amount of principal in her 56th payment is $230.19. This will be:
a + 81d = 259.34 ..... i
a + 55d = 230.19 ..... ii
Subtract equation ii from i
26d = 29.15
d = 29.15/26 = 1.1211538
From equation ii,
a + 55d = 230.19
a + 55(1.1211538)
a = 230.19 - 61.663459
a = 168.527
Therefore, the amount of interest in her 133rd payment will be calculated thus:
= a + 132d
= 168.527 + 132(1.1211538)
= 168.527 + 159.923
= 328.45
In conclusion, the correct option is $328.45.
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