# 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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