Question

Qual o valor do capital que se deve aplicar, à taxa de juros compostos de 12% a.a., durante 7 meses, para obter um montante de R$8568,00?

Answer 1

M = C. (1 +i)ⁿ

C = M / (1+ i)^n

C = 8568 / (1+ 0,12)^(7/12)

C = 8568 / (1,12)^(7/12)

C = R$ 8.019,90 ✓

Answer 2

12%a.a=12÷12=1%a.m

m=C.(1+i)^t

8568=C.(1+1%)^7

8568=C.(1+1/100)^7

8568=C.(1+0,01)^7

8568=C.(1,01)^7

C=8568/(1,01)^7

C=8568/ (1,072)

C=85680/(1,072)

C=7991,54

valor do capital:: 7991,54 R$

espero ter ajudado!

boa noite!