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use the formula \[A = P(1 + r/100)^n\] in your question the future value A = 2199.21 P = 1668.17 n = 9 x 4 = 36 so \[2199.21 = 1668.17(1 + r/100)^{36}\] divide both sides by 1668.17 \[1.31834 = (1 + r/100)^{36}\] take the 36th root of both sides \[\sqrt[36]{1.31834} = (1 + r/100)..... 1.00771 = 1 + r/100\] subtract 1 from both sides 0.00771 = r/100 then r = 0.771% per quarter.... to find the annual rate, multiply by 4
thank you for your help i understand it now
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