Question

Calcule o capital inicial, que no prazo de 5 meses, a 3%am produziu o montante de      R$ 40.575,00

Preciso de como resolver

Answer 1

 

$<var>M=C.(1+i)^{t}\\ \\ 40575=C.(1+0,03)^{5}\\ \\ 40575=C.1,03^{5}\\ \\ 40575=C.1,159\\ \\ C=40575/1,159\\ \\ C= 35008,63 \ \ Reais\\</var>$

 

Answer 2

M=Montante

i=taxa

n=tempo

C=capital

 

M = C*(1+i)^n

 

40575=C*(1+0,03%)^5

40575=C*(1+0,03)

40575=C*1,03^5

40575=1,159C

C=40575/1,159

C=R$35.008,63