qual a taxa de juros compostos que aplicada a um capital de R$ 7.800,00 durante 8 meses, gerou um montante de R$ 8.446,28?
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Olá.
![M=C(1+i)^{t}
\\ 8.446,28 = 7.800,00 ( 1 + i ) ^{8} \\ \frac{8.446,28}{7.800,00} = (1 + i ) ^{8} \\ 1,082,85 = ( 1 + i )8 \\ \sqrt[8]{ 1,08285 } = \sqrt[8]{( 1 + i )^8} \\ 1,01 = ( 1+ i) \\ i= 1,01- 1 \\ i = 0,01= 1](https://tex.z-dn.net/?f=M%3DC%281%2Bi%29%5E%7Bt%7D%0A+%5C%5C+8.446%2C28+%3D+7.800%2C00+%28+1+%2B+i+%29+%5E%7B8%7D++%5C%5C+%5Cfrac%7B8.446%2C28%7D%7B7.800%2C00%7D++%3D+%281+%2B+i+%29+%5E%7B8%7D+%5C%5C+1%2C082%2C85+%3D+%28+1+%2B+i+%298+%5C%5C++%5Csqrt%5B8%5D%7B+1%2C08285+%7D+%3D++%5Csqrt%5B8%5D%7B%28+1+%2B+i+%29%5E8%7D++%5C%5C+1%2C01%C2%A0%3D+%28+1%2B+i%29+%5C%5C+i%3D+1%2C01-+1+%5C%5C+i+%3D+0%2C01%3D+1 "M=C(1+i)^{t}
\\ 8.446,28 = 7.800,00 ( 1 + i ) ^{8} \\ \frac{8.446,28}{7.800,00} = (1 + i ) ^{8} \\ 1,082,85 = ( 1 + i )8 \\ \sqrt[8]{ 1,08285 } = \sqrt[8]{( 1 + i )^8} \\ 1,01 = ( 1+ i) \\ i= 1,01- 1 \\ i = 0,01= 1")
1% a.m
Bons estudos!!
1% a.m
Bons estudos!!
Respondido por
0
Bom,
pela fórmula do montante para juros compostos..
![M=C(1+i)^t\\
8.446,28=7.800\cdot(1+i)^8\\\\
(1+i)^8= \dfrac{8.446,28}{7.800}\\\\
(1+i)^8=1,0828\\
1+i\approx \sqrt[8]{1,0828}\\
1+i\approx1,009\\
i\approx1,009-1\\
i\approx0,009~~(multiplique~por~100)\\\\
\Large\boxed{\boxed{i\approx0,9\%~a.m. }}](https://tex.z-dn.net/?f=M%3DC%281%2Bi%29%5Et%5C%5C%0A8.446%2C28%3D7.800%5Ccdot%281%2Bi%29%5E8%5C%5C%5C%5C%0A%281%2Bi%29%5E8%3D+%5Cdfrac%7B8.446%2C28%7D%7B7.800%7D%5C%5C%5C%5C%0A%281%2Bi%29%5E8%3D1%2C0828%5C%5C%0A1%2Bi%5Capprox+%5Csqrt%5B8%5D%7B1%2C0828%7D%5C%5C%0A1%2Bi%5Capprox1%2C009%5C%5C%0Ai%5Capprox1%2C009-1%5C%5C%0Ai%5Capprox0%2C009%7E%7E%28multiplique%7Epor%7E100%29%5C%5C%5C%5C%0A%5CLarge%5Cboxed%7B%5Cboxed%7Bi%5Capprox0%2C9%5C%25%7Ea.m.+%7D%7D+ "M=C(1+i)^t\\
8.446,28=7.800\cdot(1+i)^8\\\\
(1+i)^8= \dfrac{8.446,28}{7.800}\\\\
(1+i)^8=1,0828\\
1+i\approx \sqrt[8]{1,0828}\\
1+i\approx1,009\\
i\approx1,009-1\\
i\approx0,009~~(multiplique~por~100)\\\\
\Large\boxed{\boxed{i\approx0,9\%~a.m. }}")
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TENHA ÓTIMOS ESTUDOS ;D
pela fórmula do montante para juros compostos..
..................................................
TENHA ÓTIMOS ESTUDOS ;D
korvo:
ATUALIZE A PÁGINA ;D
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