Answer:
Step-by-step explanation:Simplifying
0 = 2.5y + -20
Reorder the terms:
0 = -20 + 2.5y
Solving
0 = -20 + 2.5y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-2.5y' to each side of the equation.
0 + -2.5y = -20 + 2.5y + -2.5y
Remove the zero:
-2.5y = -20 + 2.5y + -2.5y
Combine like terms: 2.5y + -2.5y = 0.0
-2.5y = -20 + 0.0
-2.5y = -20
Divide each side by '-2.5'.
y = 8
Simplifying
y = 8
SO the answer is y=8 I think srry if i get it wrong
Answer:
hi your question options is not available but attached to the answer is a complete question with the question options that you seek answer to
Answer: v = 5v + 4u + 1.5sin(3t),
Step-by-step explanation:
u" - 5u' - 4u = 1.5sin(3t) where u'(1) = 2.5 u(1) = 1
v represents the "velocity function" i.e v = u'(t)
As v = u'(t)
<em>u' = v</em>
since <em>u' = v </em>
v' = u"
v' = 5u' + 4u + 1.5sin(3t) ( given that u" - 5u' - 4u = 1.5sin(3t) )
= 5v + 4u + 1.5sin(3t) ( noting that v = u' )
so v' = 5v + 4u + 1.5sin(3t)
d/dt
=
+
Given that u(1) = 1 and u'(1) = 2.5
since v = u'
v(1) = 2.5
note: the initial value for the vector valued function is given as
= ![\left[\begin{array}{ccc}1\\2.5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%5C%5C2.5%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Here, 4x + x =180 [ Supplementary angles ]
5x = 180
x = 180/5
x = 36
In short, Your Answer would be Option C
Hope this helps!
Let ,Cynthia invested $x
Rate = 5%per year
time = 3 year
Amount
A= P(1+r/100)^t
8000=x(1+5/100)^3
8000=x(21/20)^3
x= (8000x8000)/9261
x=6910.7$
Therefore she can invest =$6910.7 =5322.14 pound