Shawn Bixby borrowed $18,000 on a 150-day, 11% note. After 60 days, Shawn paid $2,100 on the note. On day 90, Shawn paid an additional $4,100. Use ordinary interest.
a. Determine the total interest use the U.S. Rule. (Do not round intermediate calculations. Round your answer to the nearest cent.)
b. Determine the ending balance due use the U.S. Rule. (Do not round intermediate calculations. Round your answer to the nearest cent.)
Workings: | |||||
Days for int. calculations | Principal on which int.is calculated | Interest | Partial pmt. | Principal on which int.is calculated | |
1 | 2(from 1) | 3=Prev.6 | 4=3*11%*Col.2/360 | 5=Given | 6=3+4-5 |
0 | 18000 | ||||
0-60 | 60 | 18000 | 330.00 | 2100 | 16230.00 |
60-90 | 30 | 16230.00 | 148.78 | 4100 | 12278.78 |
90-150 | 60 | 12278.78 | 225.11 | 12503.89 | |
150 | 703.89 |
Interest upto 1st partial payment after 60 days= |
18000*11%*60/360= |
330 |
Now, the principal is |
18000+330-2100= |
16230 |
Interest upto 2nd partial payment after 90 days= |
16230*11%*30/360= |
148.78 |
Now, the principal balance is |
16230+148.78-4100= |
12278.78 |
Interest at the final payment after 150 days= |
12278.78*11%*60/360= |
225.11 |
Now, the ending principal balance due is |
12278.78+225.11= |
12503.89 |
So, the ANSWERS are: |
a.Total interest using the US rule |
330+148.78+225.11= |
703.89 |
ie. |
704 |
& |
b. The ending balance due use the U.S. Rule |
12503.89 |
ie. |
12504 |
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