Um capital de 28.000 durante 8 meses rende juros de 11.200 determine taxa anual
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Olá Ellenzinha,
dos dados temos que:
Por Juros compostos para a taxa, teremos:
![M=C(1+i)^t~\to~(1+i)^t= \dfrac{M}{C}~\to~1+i= \sqrt[t]{ \dfrac{M}{C} }~\to~i= \sqrt[t]{ \dfrac{M}{C} }-1\\\\\\
i= \sqrt[8]{ \dfrac{39.200}{28.000} }-1\\\\
i= \sqrt[8]{1,4}-1\\\\
i=1,043-1\\\\
i=0,043~~(multiplique~por~100)\\\\
\large\boxed{\boxed{\boxed{i\approx4,3\%~a.a.}}}.\\.](https://tex.z-dn.net/?f=M%3DC%281%2Bi%29%5Et%7E%5Cto%7E%281%2Bi%29%5Et%3D+%5Cdfrac%7BM%7D%7BC%7D%7E%5Cto%7E1%2Bi%3D+%5Csqrt%5Bt%5D%7B+%5Cdfrac%7BM%7D%7BC%7D+%7D%7E%5Cto%7Ei%3D+%5Csqrt%5Bt%5D%7B+%5Cdfrac%7BM%7D%7BC%7D+%7D-1%5C%5C%5C%5C%5C%5C%0Ai%3D+%5Csqrt%5B8%5D%7B+%5Cdfrac%7B39.200%7D%7B28.000%7D+%7D-1%5C%5C%5C%5C%0Ai%3D+%5Csqrt%5B8%5D%7B1%2C4%7D-1%5C%5C%5C%5C%0Ai%3D1%2C043-1%5C%5C%5C%5C%0Ai%3D0%2C043%7E%7E%28multiplique%7Epor%7E100%29%5C%5C%5C%5C%0A%5Clarge%5Cboxed%7B%5Cboxed%7B%5Cboxed%7Bi%5Capprox4%2C3%5C%25%7Ea.a.%7D%7D%7D.%5C%5C.++ "M=C(1+i)^t~\to~(1+i)^t= \dfrac{M}{C}~\to~1+i= \sqrt[t]{ \dfrac{M}{C} }~\to~i= \sqrt[t]{ \dfrac{M}{C} }-1\\\\\\
i= \sqrt[8]{ \dfrac{39.200}{28.000} }-1\\\\
i= \sqrt[8]{1,4}-1\\\\
i=1,043-1\\\\
i=0,043~~(multiplique~por~100)\\\\
\large\boxed{\boxed{\boxed{i\approx4,3\%~a.a.}}}.\\.")
Tenha ótimos estudos (y)
dos dados temos que:
Por Juros compostos para a taxa, teremos:
Tenha ótimos estudos (y)
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