in how many years will ₹8000 amount to ₹8820 at 5% per annum compounded annually?
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Answered by
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Principal = Rs 8000
Interest rate = 5%
Amount Received = Rs 8820
Find the time needed:
Amount = P(1 + r)ⁿ
8820 = 8000( 1 + 0.05)ⁿ
8820 = 8000(1.05)ⁿ
1.05ⁿ = 1.1025
log 1.05ⁿ = log 1.1025
n log 1.05 = log 1.1025
n = log 1.1025 ÷ log 1.05
n = 2
Answer: It will take 2 years
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1 vote
THANKS
2
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BrainlyPrince Genius
Principal = 8000 rupees
Compound interest = 5% per annum
Let, it will take x years to amount to 8820 rupees.
Amount = 8820 rupees
So, in 2 years the amount will become 8820 r
Interest rate = 5%
Amount Received = Rs 8820
Find the time needed:
Amount = P(1 + r)ⁿ
8820 = 8000( 1 + 0.05)ⁿ
8820 = 8000(1.05)ⁿ
1.05ⁿ = 1.1025
log 1.05ⁿ = log 1.1025
n log 1.05 = log 1.1025
n = log 1.1025 ÷ log 1.05
n = 2
Answer: It will take 2 years
3.0
1 vote
THANKS
2
Comments Report
BrainlyPrince Genius
Principal = 8000 rupees
Compound interest = 5% per annum
Let, it will take x years to amount to 8820 rupees.
Amount = 8820 rupees
So, in 2 years the amount will become 8820 r
ankitsharma2005:
its not p(1+r)n its p(1+r/100)n
Answered by
2
Answer:
Step-by-step explanation:
p=8000
a=8820
r=5%
si= 820
820=8000x5xT/100
820/400=2.5yrs
t=2.5yrs
Interest rate = 5%
Amount Received = Rs 8820
Find the time needed:
Amount = P(1 + r)ⁿ
8820 = 8000( 1 + 0.05)ⁿ
8820 = 8000(1.05)ⁿ
1.05ⁿ = 1.1025
log 1.05ⁿ = log 1.1025
n log 1.05 = log 1.1025
n = log 1.1025 ÷ log 1.05
n = 2
Answer: It will take 2 years
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