Question

Alguem consegue resolver porfavor?
Preciso acertar tudo porfavor .

Answer 1

14.

J = C.i.t/100

J = 6000.2.10/100

J = 60.20

J = 1200,00

M = 6000 + 1200 = R$ 7.200,00

15.

M = C + J

3300 = 1200 + 1200.30.t/100

2100 = 36000.t/100

2100 = 360.t

t = 210/36

t = Aproximadamente 6 anos.

16.

J = C.(1+i)^t

J = 15000.(1+0,01)³

J = 15000.(1,01)³

J = 15000.1,03

J = Aproximadamente R$ 15.450,00

17.

$9.5^{x^{2}-2x+1} = 5625\\5^{x^{2}-2x+1} = 5625/9\\5^{x^{2}-2x+1} = 625\\5^{x^{2}-2x+1} = 5^{4}\\\\x^{2}-2x+1 = 4\\x^{2}-2x-3 = 0\\\\Soma = 2, Produto = -3\\\\x^{1} = 3, x^{2} = -1$

18.

$3^{x^{2}-10x+9} = 1/9\\3^{x^{2}-10x+9} = 3^{-2}\\\\x^{2}-10x+9 = -2\\x^{2}-10x+11 = 0\\\\\\Soma = 10, Produto = 11\\\\x^{1} = 5 - \sqrt{14}, x^{2} = 5+\sqrt{14}$

19.

$(\frac{1}{4})^{x-1} = 16^{x+2}\\ 2^{-2.(x-1)} = 2^{4.(x+2)}\\2^{-2x+2} = 2^{4x+8}\\\\-2x+2 = 4x+8\\-6x = 6\\x = -1$

20.

$3^{x^{2}+10x+7} = 1/9\\3^{x^{2}+10x+7} = 3^{-2}\\\\x^{2}+10x+7 = -2\\x^{2}+10x+9\\\\Soma = -10, Produto = 9\\\\x^{1} = -9, x^{2} = -1$