um capital de R$26.000,00,aplicado a juros simples por um periódo de três anos,produziu um montante de R$40.040,00.Qual foi a taxa de juro anual desse investimento ?
Soluções para a tarefa
Respondido por
4
M = C(1+it)
40.040=26.000(1+36i)
40.040/26000=(1+36i)
1,54=1+36i
1,54-1=36i
0,54=36i
i=0,54/36
i= 0,015 ou 1.5% em 3 anos
Tendo taxa de juros anual de 0.5%
40.040=26.000(1+36i)
40.040/26000=(1+36i)
1,54=1+36i
1,54-1=36i
0,54=36i
i=0,54/36
i= 0,015 ou 1.5% em 3 anos
Tendo taxa de juros anual de 0.5%
zeusdabalas:
obg <3
Respondido por
5
Ae,
os dados são:
Usando a fórmula geral do montante para juro simples,
![\large\underbrace{\mathsf{M=C[1+(it)]}}\\
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~.](https://tex.z-dn.net/?f=%5Clarge%5Cunderbrace%7B%5Cmathsf%7BM%3DC%5B1%2B%28it%29%5D%7D%7D%5C%5C%0A%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E%7E. "\large\underbrace{\mathsf{M=C[1+(it)]}}\\
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~.")
podemos fazer:
![\mathsf{40.040=26.000\cdot[1+(i\cdot3)]}\\\\
\mathsf{1+3i= \dfrac{40.040}{26.000} }\\\\
\mathsf{1+3i=1,54}\\
\mathsf{3i=1,54-1}\\
\mathsf{3i=0,54}\\\\
\mathsf{i= \dfrac{0,54}{3} }\\\\
\mathsf{i=0,18~~(Multiplique~por~100)}\\\\
\Large\boxed{\mathsf{Uma~taxa~i=18\%~ao~ano}}](https://tex.z-dn.net/?f=%5Cmathsf%7B40.040%3D26.000%5Ccdot%5B1%2B%28i%5Ccdot3%29%5D%7D%5C%5C%5C%5C%0A%5Cmathsf%7B1%2B3i%3D+%5Cdfrac%7B40.040%7D%7B26.000%7D+%7D%5C%5C%5C%5C%0A%5Cmathsf%7B1%2B3i%3D1%2C54%7D%5C%5C%0A%5Cmathsf%7B3i%3D1%2C54-1%7D%5C%5C%0A%5Cmathsf%7B3i%3D0%2C54%7D%5C%5C%5C%5C%0A%5Cmathsf%7Bi%3D+%5Cdfrac%7B0%2C54%7D%7B3%7D+%7D%5C%5C%5C%5C%0A%5Cmathsf%7Bi%3D0%2C18%7E%7E%28Multiplique%7Epor%7E100%29%7D%5C%5C%5C%5C%0A%5CLarge%5Cboxed%7B%5Cmathsf%7BUma%7Etaxa%7Ei%3D18%5C%25%7Eao%7Eano%7D%7D "\mathsf{40.040=26.000\cdot[1+(i\cdot3)]}\\\\
\mathsf{1+3i= \dfrac{40.040}{26.000} }\\\\
\mathsf{1+3i=1,54}\\
\mathsf{3i=1,54-1}\\
\mathsf{3i=0,54}\\\\
\mathsf{i= \dfrac{0,54}{3} }\\\\
\mathsf{i=0,18~~(Multiplique~por~100)}\\\\
\Large\boxed{\mathsf{Uma~taxa~i=18\%~ao~ano}}")
Tenha ótimos estudos ;D
os dados são:
Usando a fórmula geral do montante para juro simples,
podemos fazer:
Tenha ótimos estudos ;D
Perguntas interessantes