Question

1- Seja um taxa de juro de 5% ao ano. Então, se eu aplicar um capital de 100 mil.
após 3 anos, qual será o montante que irei ter?
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Answer 1

Para o regime de juros simples:

$Montante~=~Capital\cdot (1+Taxa\cdot Periodo)\\\\\\Montante~=~100000\cdot\left(1+\dfrac{5}{100}\cdot 3\right)\\\\\\Montante~=~100000\cdot\left(1+\dfrac{15}{100}\right)\\\\\\Montante~=~100000\cdot\left(\dfrac{100+15}{100}\right)\\\\\\Montante~=~100000\cdot\dfrac{115}{100}\\\\\\Montante~=~1000\cdot115\\\\\\\boxed{Montante~=~R\ \,115000,00}$

No regime de juros compostos:

$Montante~=~Capital\cdot\left(1+Taxa\right)^{Periodo}\\\\\\Montante~=~100000\cdot\left(1+\dfrac{5}{100}\right)^{3}\\\\\\Montante~=~100000\cdot\left(\dfrac{100+5}{100}\right)^{3}\\\\\\Montante~=~100000\cdot\left(1,05\right)^3\\\\\\Montante~=~100000\cdot1,157625\\\\\\\boxed{Montante~=~R\ \,115762,50}$