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Answers
Answer:
n = 1 year..For half-yearly{1/2 years}
9466.5
Step-by-step explanation:
(7)
Given, P = 4400, A = 4576, R = 8% = 4%{compounded half-yearly}
We know that A = P(1 + r/100)ⁿ
⇒ 4576 = 4400(1 + 4/100)ⁿ
⇒ (4576/4400) = (1 + 4/100)ⁿ
⇒ (1.04) = (1 + 0.04)ⁿ
⇒ 1.04 = (1.04)ⁿ
⇒ (1.04)¹ = (1.04)ⁿ
⇒ n = 1.
Therefore, n = 1.
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(8)
Given, Amount = 9826, Time n = 3/2 years, R = 2.5%.
Given that the interest is compounded half-yearly.
We know that A = P(1 + r/2)²ⁿ
⇒ 9826 = P(1 + 0.025/2)³
⇒ 9826 = P(1 + 0.0125)³
⇒ 9826 = P(1.0125)³
⇒ 9826 = 1.03797P
⇒ P = 9466.5.
Therefore, required sum = 9466.5
Hope this helps!
Step-by-step explanation:
P = 4400, A = 4576, R = 8% = 4%
A = P(1 + r/100)ⁿ
4576 = 4400(1 + 4/100)ⁿ
(4576/4400) = (1 + 4/100)ⁿ
(1.04) = (1 + 0.04)ⁿ
1.04 = (1.04)ⁿ
(1.04)¹ = (1.04)ⁿ
n = 1.
Therefore, n = 1.
Amount = 9826, Time n = 3/2 years, R = 2.5%.
A = P(1 + r/2)²ⁿ
9826 = P(1 + 0.025/2)³
9826 = P(1 + 0.0125)³
9826 = P(1.0125)³
9826 = 1.03797P
P = 9466.5.
sum = 9466.5