Question

À taxa de juros composta de 5% a.m., em que prazo R$ 5.000,00 rendem juros de R$ 1.700,48

Answer 1

 

 

M = C + J

 

M = 5000 + 1700,48 = 6.700,48

 

 

M = C( 1 + i ) ^t

 

6700,48 = 5000( 1+0,05)^t

 

(1,05)^t = 6700,48/5000

 

(1,05)^t = 1,34

 

log(1,05)^t = log 1,34    t. log(1,05)^t = log 1,34   t = log 1,34      0,12      log 1,05       0,02   t = 6 m