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The compound Intereston soooat 12% P A 1 1/2 years. If Intrest iscompounded half year |
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Answer» yar plz MAKE brainlistStep-by-step explanation:Here, the interest is compounded half-yearly. So,Principal (P) = $ 8,000Number of YEARS (n) = 1\(\frac{1}{2}\) × 2 = \(\frac{3}{2}\) × 2 = 3Rate of interest compounded half-yearly (r) = \(\frac{10}{2}\)% = 5%Now, A = P (1 + \(\frac{r}{100}\))\(^{n}\)⟹ A = $ 8,000(1 + \(\frac{5}{100}\))\(^{3}\)⟹ A = $ 8,000(1 + \(\frac{1}{20}\))\(^{3}\)⟹ A = $ 8,000 × (\(\frac{21}{20}\))\(^{3}\)⟹ A = $ 8,000 × \(\frac{9261}{8000}\)⟹ A = $ 9,261 andCompound interest = AMOUNT - Principal = $ 9,261 - $ 8,000 = $ 1,261Therefore, the amount is $ 9,261 and the COMPOUND interest is $ 1,261 |
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