Math Problem Statement

Payment Number Amount of Payment Portion to Principal for Period Interest Principal at End of Period 0

5668.00 1 144.73 58.48 86.25 5609.52 2 144.73 59.37 85.36 5550.15

144.73 60.28 84.45 5489.87

144.73 61.19 83.54 5428.68 5 144.73 62.12 82.61 5366.55 6 144.73 63.07 81.66 5303.49

144.73 64.03 80.70 5239.46 8 144.73 65.00 79.73 5174.45 9 144.73 65.99 78.74 5108.46 10 144.73 67.00 77.73 5041.47 11 144.73 68.02 76.71 4973.45 12 144.73 69.05 75.68 4904.40 How much interest was paid in the last four months (payments 9-12)?

Solution

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Math Problem Analysis

Mathematical Concepts

Loan Amortization
Interest Calculation
Principal Reduction

Formulas

Interest Paid = Monthly Payment - Principal Reduction
Principal Reduction = Previous Balance - New Balance

Theorems

Amortization Formula

Suitable Grade Level

Grades 9-12