Please solve 2 and 3 questions
I will mark brainlist
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A = Rs 170 future value
t = 2 years
r = 12.5% annual interest rate
m = 1 number of compounding period per year
n = 2 the number of compounding periods
i = r/m = 12.5% interest per period
P = ? the principal
A = P(1 + i)^n
P = A/(1 + i)^n
P = 170/(1 + 0.125)^2
P = 170/1.265625
P = Rs 134.321
the sum that yield an amount of rs.170 after 2 years at 12.5% p.a. interest being compounded annually is Rs 134.321.
3.
Given A = 4913 rupees, R = 12.5%, n = 3/2 years.
We know that A = P(1 + r/100)^n
4913 = P(1 + 12.5/100)^3/2
4913 = P(1 * 100 + 6.25/100)^3
4913 = P(106.25/100)^3
4913 = P(1.0625)^3
4913 = P(1.19946)
4913/1.19946 = P
P = 4096 RS.
Given Amount A = 170.
Given Rate of interest r = 12.5%.
Given Time n = 2 years.
We know that A = P(1 + r/100)^n
= > 170 = P(1 + 12.5/100)^2
= > 170 = P(1 + 125/1000)^2
= > 170 = P(1125/1000)^2
= > 170 = P(1.125)^2
= > 170 = P(1.2656)
= > P = 134.32.
Therefore, the sum is 134.32.
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(3)
Given Amount = 4913.
Given Time = 1 1/2 years = 3/2 years[Interest is compounded half yearly - n = 3]
Given rate of interest r = 12.5% = 25/2[Interest is compounded half yearly]
We know that A = P(1 + r/200)^n
= > 4913 = P(1 + 25/400)^3
= > 4913 = P(425/400)^3
= > 4913 = P(17/16)^3
= > 4913 = P(4913/4096)
= > 4096 = P.
Therefore, the sum = 4096.
Hope this helps!