Contabilidade

1 Juros Simples
a) Dados:
C = 3 500,00 ; i = 4% ; n = 6 meses
M = 3 500 ( 1 + 0,04* 6)
M = 4.340,00

b)Dados:
C = 3500,00 ; n = 18 meses ou 6 trimestres ; i = 8% a.t
M= 3500 ( 1+ 0,08*6)
M= 5.180,00

c) Dados:
C= 3500 ; i = 12% a.a ; n = 18 meses ou 1,5 ano
M= 3500( 1+ 0,12* 1,5)
M= 4.130,00

Juros Compostos
a) 4% a.m e 6 meses
M=C(1+i)^t =3500(1+0,04)^6 = 4.428,62

b) 8% a.t e 18 meses
M=C(1+i)^t =3500(1+0,08)^6 = 5.554,06

c) 12% a.a e 18 meses
M=C(1+i)^t =3500(1+0,12)^1,5 = 4.148,54

2 M=C(1+i)^n
83.743=18.000(1+0,15)^n
83.743:18.000=1,15^n
4,652=1,15^n
1,15^11=1,15^n n=11meses 3 M = C (1+ i)^n
a) 13% at
C = 100.000 / ( 1+ o,13)^16 = 14.149,62

b) 18% aa
C = 100.000 / 1,18^4 = 51.578,88

c) 14% as
C = 100.000 / 1,14^8 = 35.056,oo

d) 12% am
C = 100.000 / 1,12^48 = 434,05

4) M = C*(1+i)^n
120.000 = 51.879,31*(1+i)^6
120.000 / 51.879,31 = (1+i)^6
(1+i)^6 = 120.000 / 51.879,31
(1+i)^6 = 2,313060833
1+i = (2,313060833)^(1/6)
1+i = 1,15 i = 1,15 -1 i = 0,15 i = 15% ao mês

5) Po * 1,03^t = 3Po
1,03^t = 3Po/Po
1,03^t = 3 log 1,03^t = log 3 t log 1,03 = log 3 log 1,03 = 0,01283 log 3 = 0,47712
0,01283t = 0,47712 t = 0,47712 / 0,01283 t = 37,18 (37 anos e 2 meses)
0,18 * 12 = 2 meses
Resposta : Triplicará em 37 anos e 2 meses

6) M = C * ( 1 + i ) ^ n
27473 + 83000 = 83000 * ( 1 + 0,10) ^ n
110473 = 83000 * 1,10 ^ n
110473/83000 = 1,10 ^ n
1,331 = 1,10 ^ n log(1,331) = n * log(1,10) log(1,331)/log(1,10) = n
0,124178/0,041393 = n
3 = n

7) M = C (1+i)^n
2C = C (1,05)^n aplicando LOG n Log 1,05 = log 2 n = Log 2 / log 1,05 n = 14,2 meses

8) C = 8000 i = 4% a.m = 0,04 a.m
M = 8000 + ( 4/10 de 8000 ) = 11200 n = ?
M = C(1+i)^n
11200 = 8000 ( 1,04)^n
11200 /8000 = 1,04^n
1,04^n = 1,4 n = log 1,4 / log 1,04
23,36241894 ou 23m 11 dias

9) de 3/04 a 6/06 = 64 dias
C = 7.000 i = 1% a.m. = 0,01 a.m. n = 64 dias = 64/30 meses
J = ?
J = C.[(1+i)^n - 1]
J