Exercícios 1 Engenharia Economica

Resposta: J = 5000,0 (12)3 = 1.800,00 M= 5.000 + 1.800 = 6.800,00 Resposta: M= 6.000(1+0,02)² = 6.000(1,02)² = 6.367,25 J = 6.367,25 - 6.000,00 = 367,25 Resposta: Pn = M - M - M (1+0,02456)¹ (1+0,02456)² (1+0,02456)ª 1199 = M + M + M 1,02456¹ 1,0509651 1,1005627ª 1199 = -------------------------- 3,20100599 . M 1,311213752 M = 425,89 Resposta:\n\nD = Md_i_d_m\n\n24% ao ano / 12 meses = 2% a.m\n\nD = 12.300_0,02_6\n\nD = R$ 1.476,00\n\nResposta:\n\nR^* = (1 + i)^n - 1\n\nR^* = (1,02)^(12) - 1\n\nR^* = 1,2682 - 1 = 0,2682 ou 26,82% Resposta:\n\nC = Pna \frac{(1+i)^n - 1}{(1+i)^n i}\n\nC = 1230_\frac{(1+0,0199)^48 - 1}{(1+0,0199)^48_0,0199}\n\nC = 1230_\frac{(1,0199)^48 - 1}{(1,0199)^48_0,0199}\n\nC = R$ 37.804,82\n\nResposta:\n\nD = 10000_\frac{1 - (1 - 0,018)^{12}}{(1 - 0,018)^{12}}\n\nD = 10000_\frac{1}{(0,982)^{12}}\n\nD = 10000_0,196849\n\nD = R$ 1.958,49 Resposta:\n\nPm = 100.000\n\n\frac{0,015_ (1,015)^{48}}{(1,015)^{48} - 1} Resposta: J = 5000.0,12.3 = 1.800,00 M = 5.000 + 1.800 = 6.800,00 Resposta: M = 6.000(1,02)3=6.000(1,02)3=6.367,25 J = 6.367,25-6.000,00=367,25 Resposta: Pn=\frac{M}{\begin{array}{c} (1+i)n-1\\ (1+i)n \end{array}}=\frac{M}{(1+i)n-1}\cdot \frac{1}{(1+i)n} \\ 1199=\frac{M}{1,032456}\cdot \frac{M}{1,032456}\cdot \frac{M}{1,032456}\cdot \frac{M}{1,032456}\\ =\frac{M}{1,032456}\cdot \frac{M}{1,0595639}\cdot \frac{M}{1,0056227}\\ 1199=3,4100959\cdot M\\ 1,02113752\cdot M \\ M = 425,89 Resposta: C = Pmt (1+i)^n-1 ______ (1+i)^n .i C = 1230 (1+0,019)^8-1 _______________ (1+0,019)^8. 0,019 C = 1230 (1,019)^8-1 _______________ (1,019)^8. 0,019 C = R$ 37.804,82 Resposta: D = 10000.(1- (1-0.018)^2) D = 10000. (1-(0,982)^2) D = 10000. 0,156849 D = R$ 1.568,49