Answer:
4536363646
Step-by-step explanation:
Performing laplace transform of the equation.
sY(s) - y(0) + 6Y(s) = 1/(s-4)
(s+6)Y(s) - 2 = 1/(s-4)
Y(s) = 2/(s+6) + 1/(s-4)(s+6), by partial fraction decomposition
Y(s) = 2/(s+6) + 1/10 * (1/(s-4) + 1/(s+6))
Y(s) = 0.1/(s-4) + 2.1/(s+6)
Performing inverse laplace transform,
y(t) = 0.1e^4t + 2.1e^(-6t)
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Answer:
$4182.7
Step-by-step explanation:= 4000*(1.5%)*3
Year 1= 4000*(100%+1.5%)= 4060
Year 2= 4060*(100%+1.5%)= 4120.9
Year 3= 4120.9*(100%+1.5%)= 4182.7
C. Prime
Pretty sure its C because none of the other options factor to x^2-8x-12
Y= 16x2 - 8x+1 does not intersect the c axis. It only peaks at it. The parabola does not go over it.
