Respuesta :
Answer :
- A = P(1+r/2)^2t
Explanation :
The formula to find the compound interest is given by,
- A = P(1+r/n)^nt
wherein,
- A = amount after n years
- P = initial amount
- r = rate of interest
- n = number of times interest is compounded annually
- t = time period in years
when the interest is compounded half-yearly, the formula would become
- A = P(1+r/2)^2t
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To find the compound interest after 2 years ,we firstly are required to find the initial amount 'P' using the simple interest formula
- simple interest = P*r*t
- Rs. 50 = P*5%*2
- Rs. 50 = P*0.1
- P = Rs 50/0.1
- P = 500
now, we can find the compound interest
- A = 500(1+0.05/2)^2*2
- A = 500(1+ 0.025)^4
- A = 500 (1.025)^4
- A = 500*1.1
- A = 550