X=40
x+2=42
x+x+2=82
2x=80
x=40
Answer: D, $116
Step-by-step explanation:
A = 100(1 + 0.03)^5
A = 100(1.03)^5
A = 100(1.1593)
A = 115.92
Hope this helped!
1/4 of 1/4
= 1/8
13 x 1/8
= 13/1 x 1/8
= 1 5/8
therefore there are 1 and 5/8 in the line of rickys fraction strips.
on a fraction strip line this is 13/8
L[ y(t) ] = Y(s)
L[ y' ] = sY-y(0) = sY-0 = sY
L[ y'' ] = s^2*Y - sy(0) - y'(0) = s^2*Y - 1
laplace trasform both sides
L[ y'' - 6y' + 9y ] = L[ t ]
= L[ y'' ] - 6 L[ y' ] + 9 L[ y ] = 1/s
= [ s^2*Y - 1 ] - 6[ sY ] + 9Y = 1/s
( s^2 - 6s + 9 ) Y - 1 = 1/s
⇒ ( s^2 - 6s + 9 ) Y = (1/s) + 1
⇒Y = [ 1 / ( s(s^2 - 6s + 9 ) ) ] + [ 1 / ( s^2 - 6s + 9 ) ]
Let inverse laplace trasform , find y(t) :
y(t) = L^(-1)[ Y(s) ] = L^(-1) { [ 1 / ( s(s^2 - 6s + 9 ) ) ] + [ 1 / ( s^2 - 6s + 9 ) ] }
= [ (1/3)*t*e^(3t) - (1/9)*e^(3t) + (1/9) ] + [ t*e^(3t) ]
= (4/3)*t*e^(3t) - (1/9)*e^(3t) + (1/9)
Answer:
3/5 - 1/2 is 1/10 while 3/5 -3/10 is 3/10
Step-by-step explanation:
