Question

Qual deve ser o capital aplicado a uma taxa de juros simples de 25% a.a para que em 6 meses renda 425 reais de juro?

Answer 1

juros : 425
c.i.t :425
c.0,25.0,5=425
o,125c=425
c=425/0,125 = 425000/125=3.400,00

i=taxa/100 = 25/100 =0,25 ano
t=6 meses =6/12meses=0,5ano.

Answer 2

$\sf\large \boxed{\boxed{\tt J = C \cdot i \cdot t}}$

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$\sf \displaystyle 425\:=\:C\:\cdot 0,\:25\:\cdot \left(\frac{1}{2}\right)\\\\\\\sf \boxed{\star \sf \ {Troque \:os \:lados} }\\\\\\\sf C\cdot \:0.25\left(\frac{1}{2}\right)=425\\\\\\\sf C\frac{0.25}{2}=425\\\\\\\sf 2C\frac{0.25}{2}=425\cdot \:2\\\\\\\sf 0.25C=850\\\\\\\sf \frac{0.25C}{0.25}=\frac{850}{0.25}\\\\\\\\\large \to \boxeed{\boxed{\sf C=3400}}$