Total interest=$489.58
Balance after 100th day=$5,819.44
Balance after 180th day=$2,448.77
Final payment=$2,489.58
Compute the total interest, the balances on the 100th and 180th days as well as the final payment of the loan?
In the first place, ordinary interest means simple interest, in other words, the simple interest approach would be used in computing the interest due at every point in time.
Interest=loan balance*interest rate*number of days that interest is due/360 days
Interest on 100th day=$11,500*10%*100/360
Interest on 100th day=$319.444444
balance after 100th day=initial principal+ interest-partial payment
balance after 100th day=$11,500+$319.444444 -$6,000
balance after 100th day=$5,819.444444
Note it has been 80 days since the payment of the last interest on 100th
interest on 180th day=$5819.444444 *10%*80/360
interest on 180th day=$129.320988
balance of the loan on the 180th day=$5,819.444444+$129.320988-$3,500
balance of the loan on the 180th day=$2,448.765432
The final payment would be the balance as of the 180th day plus the interest for the last 60 days(180th-240th)
final interest=$2,448.765432*10%*60/360
final interest =$40.812757
Final payment=$2,448.765432+$40.812757
Final payment=$2,489.58
Total interest=$319.444444+$129.320988+$40.812757
Total interest=$489.58
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