Matematica

RESPOSTAS DA ATIVIDADE AVALIATIVA MATEMATICA APLICADA A ADMINISTRAÇÃO
Josinaldo Alves Cardoso
1) M/1800 = P/2400 = C/3200 =
M = 12, 1800
T = 12, 2400 M+T+C= 6.750,00
C = 8, 3200
M/150 = T/200 = C/400 = 6.750/750
M/150 = 9 M = 9.150 = 1.350,00 T/200 = 9 T = 9.200 = 1.800,00
C/400 = 9 C = 9.400 = 3.600,00

2) 8.000 * 0,75 = 600
8.000 – 600 = 7.400
7.400 – X = 6.000
-X = 6000 – 7.400 (-1)
X = 1.400
1.400/7.400 = 18,9%

3) 70/450 = 70/900 = X/1.200 *900X = 1.200*70
900X = 84.000 X = 84.000/900 X = 93,3333h
93,333/10 = 9,333h DIA = 9h e 20 min

4) X + 5Y – Z = -5 Y + 2Z = 6
X - 3Z = -11

X + 5Y – Z = -5 Y + 2Z = 6 - 5Y – 2Z = -6

X + 5Y – Z = -5 Y + 2Z = 6 8Z = 24 Z = 3, Y = 0, X = -2

5) 4A + 7B + 10C = 109 (1)
1A + 2B + 3C = 32 (-3)

4A + 7B + 10C = 109
-4A – 6B – 9C = 96
A + B + C = 13

6) a) P(t) = 45.000 * 1,05t P(3) = 45.000 * 1,05³ P(3) = 52.093 Habitantes

b) P(t) = 45.000 * 1,05t P(0) = 45.000 * 1,05 P(0) = 45.000
2P(0) = 45.000 * (1,05)^t
90.000 = 45.000 * 1,05t
1,05t = 90.000/45.000
1,05t = 2 t * log1,05 = log2 t = log2 / log1,05 t = 0,3010299/0,0211892 = 14