Question

o capital de r$2.000,00,aplicado ajuros compostos,rendeu,apos 4 meses,juros de r$165,00.qual foi a taxa de juros mensal

Answer 1

C = 2000
t = 4 m
j = 165
M = C + j  = 2000 + 165 = 2.165 ****

2165 = 2000 ( 1 + i)⁴
( 1 + i)⁴ = 2165/2000 =1,0825
( 1 + i)⁴ = 1,0825
1 + i = ( 1,0825)¹/⁴
i = 1,0020016 - 1 
i = 0.0020016
i = 0.0020016 * 100 = 0.2%

Answer 2

Boa noite!

Dados;

C → 2000

t → 4 meses

J → 165

i → ???

M → ?

_____________

M=C+J

M=2000+165

M=R$2.165,00

_____________

M=c·(i+1)^t

2165=2000·(i+1)⁴

2165/2000=(i+1)⁴

1.0825=(i+1)⁴

i+1=⁴√1.0825

i+1=1,02 (considerando duas casas decimais)

i=1,02-1

i=0,02

i=0,02×100%

i=2%a.m

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Att;Guilherme Lima