If 64000 is deposited at 5 % compound interes | vedclass

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(B) Given: Principal $(P) = 64000$,Rate $(R) = 5 \%$ per annum,Time $(n) = 18$ months.Since the interest is compounded half-yearly,the rate for half-y

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$68921$

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(B) Given: Principal $(P) = 64000$,Rate $(R) = 5 \%$ per annum,Time $(n) = 18$ months.Since the interest is compounded half-yearly,the rate for half-year $(r) = \frac{5}{2} = 2.5 \%$.The number of half-yearly periods $(n) = \frac{18}{6} = 3$.The formula for the amount $(A)$ is $A = P(1 + \frac{r}{100})^n$.Substituting the values: $A = 64000(1 + \frac{2.5}{100})^3$.$A = 64000(1 + 0.025)^3 = 64000(1.025)^3$.$A = 64000 	imes (\frac{41}{40})^3 = 64000 	imes \frac{68921}{64000}$.$A = 68921$.

If $64000$ is deposited at $5 \%$ compound interest for a period of $18$ months,interest being compounded half-yearly,find the amount.

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