Meghan Brown borrowed $50,000, on a 90-day 10% note. After 55 days, Brown made an initial payment of $9,000. On day 70, Brown made an additional payment of $10,000. Assuming the U.S. Rule, what is the adjusted balance of the first payment? Use 360 days.
Computation of the adjusted balance of the first payment is:
Adjusted balance of first payment = Total amount borrowed - Total payment after 55 days
= $50,000 - $9,550
= $40,450
Hence, the adjusted balance of the first payment is $40,450.
Working Notes:
1.
Computation of the interest paid for 55 days is:
Interest paid for 55 days = Initial payment * Interest rate * 55/90
= $9,000 * 10% * 55/90
= $550
Hence, the interest paid for 55 days is $550.
2.
Computation of the total payment after 55 days is:
Total payment after 55 days = Initial payment + Interest paid for 55 days
= $9,000 + $550
= $9,550
Hence, the total payment after 55 days is $9,550.
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