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March 28, 2017

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on march 8, you sign a $4000 note with simple interest 10% for 240 days. You make partial payments of $1300 on May 26 and $2300 on july 31. How much will you owe on the date of maturity (November 3)?
Please show work!!!

  • Survey of Math 140 - ,

    First calculate the number of days between March 8 and May 26. 24 days in March, 30 days in April, and 26 days in May. Add those together=80 days.
    4000(1+.10)^(80/365)= 4084.44. This is how much you owe on May 26, before the $1300 payment.
    Then subtract 4084.44-1300. This is your new balance. 2784.44
    Now calculate the days between May 26 and July 31. 4 days in May, 30 in June, 31 in July. This is 65 days.
    2784.44(1+.10)^(65/365)=2832.10 This your balance on July 31st before making payment. Now subtract 2300. 2832.10-2300=532.10 Now calculate the number of days between July 31st and November 3rd=95 days.
    532.10(1+.10)^(95/365)=545.46. This is how much you owe on November 3rd.

  • Survey of Math 140 - ,

    545.46 is not one of the choices that i have to choose from. the choices are 553.11, 555.05, 544.98, and 557.88

  • Survey of Math 140 - ,

    sorry. you could try changing the 80 to 79 in the first part. I was debating with myself, which one to use.

  • Survey of Math 140 - ,

    Simple interest
    10% = 0.1 /365 = 0.000274 daily interest

    3/8 to 5/26 = 79 days
    79 * 0.000274 = 0.021646 (79 day interest rate) * $4000 = $86.58 interest this period

    5/27 to 7/31 = 65 days
    65 * 0.000274 = 0.01781 (65 day interest rate) * $2700 ($4000 - 1300) = 48.08 interest this period

    8/1 to 11/3 = 94 day
    94 * 0.000274 = 0.025757 (94 day interest rate) * $400 $2700 - 2300) = $10.30 interest this period

    Payment on 11/03 $400 + interest =
    $400.00 + 86.58 + 48.08 + 10.30 = 544.96

  • Survey of Math 140 - ,

    convert the numeral to a numeral in base ten
    43,163ten

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