math

find the compound interest on Rs15000 at 8% for 9 months, the interest payable quartely

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  1. in what time will Rs 64000 amount to Rs 68921 at 5% per annum , interest being compounded half yearly

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    posted by susanta
  2. 1. Investment: $15,000 @ 8% for 9mo,compounded quarterly.

    Pt = Po(1+r)^n.

    r = (8%/4) / 100% = 0.02 = Quarterly
    percentage rate expressed as a decimal.

    n = 4 comp./yr * 0.75yr = 3 comp. periods.

    Pt = 15,000(1.02)^3 = 15,918.12.

    Int. = 15918.12 - 15000 = $918.12.

    2. Investment: $64000 @ 5%,compounded
    semi-annually.

    Pt = Po(r+1)^n.

    r = (5%/2) / 100% = 0.025 = Semi-annual
    % rate expressed as a decimal.

    $68,921 = 64,000(1.025)^n,
    Divide both sides by 64,000:
    (1.025)^n = 68921 / 64000 = 1.0769,
    Take log of both sides:
    n*log(1.025) = log(1.0769),
    0.0107n = 0.03217,
    n = 3 comp. periods.

    t = 6mo/comp period * 3comp periods =
    18 months.

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    posted by Henry

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