Given Principal: $10,000, 8%, 240 days
Partial payments: On 100th day, $4,000
On 180th day, $2,000

Required:
a. Use the U.S. Rule to solve for total interest cost. (Use 360 days a year.
b. Use the U.S. Rule to solve for principal balances.
c. Use the U.S. Rule to solve for final payment.

Respuesta :

a. Using the U.S. Rule the total interest cost is $390.6072.

b. Using  the U.S. Rule the principal balances is $6,222.22; $4,332.84.

c. Using  the U.S. Rule the final payment is $3,309.61.

First step

Interest for 100 days =$10,000 × 8%× 100/360 =$222.22

Total amount outstanding =$10,000 + 222.22 =$10,222.22

Second step

Payment made on 100th day =$4,000

Balance outstanding =$10,222.22 - $4,000 = $6,222.22

Third step

Interest for 80 days = $6,222.22 ×8%×80/360 =$110.6172

Total amount outstanding =$6,222.22 +$110.6172 =$6,332.84

Fourth step

Payment made on 180th day =$2,000

Total amount outstanding =$6,332.84 -$2,000 =$4,332.84

Fifth step

Interest for 60 days =$4,332.84 ×8%× 60/360 =$57.77

Final balance outstanding =$4,332.84+ $57.77 =$3,309.61

Hence:

a. Total interest cost:

Total interest cost =$222.22 +$110.6172+$57.77

Total interest cost=$390.6072

b. Principal balances:

Balance after the payment:

on 100th day = $6,222.22

on 180th day =$4,332.84

c. Final payment:

Final payment = $3,309.61

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