Multiply 200 by .15, since 15% is .15 as a decimal. 200 x .15 = 30. This means that his health care rate will increase by $30 next year.
Answer:
y=t−1+ce
−t
where t=tanx.
Given, cos
2
x
dx
dy
+y=tanx
⇒
dx
dy
+ysec
2
x=tanxsec
2
x ....(1)
Here P=sec
2
x⇒∫PdP=∫sec
2
xdx=tanx
∴I.F.=e
tanx
Multiplying (1) by I.F. we get
e
tanx
dx
dy
+e
tanx
ysec
2
x=e
tanx
tanxsec
2
x
Integrating both sides, we get
ye
tanx
=∫e
tanx
.tanxsec
2
xdx
Put tanx=t⇒sec
2
xdx=dt
∴ye
t
=∫te
t
dt=e
t
(t−1)+c
⇒y=t−1+ce
−t
where t=tanx
Answer:

Step-by-step explanation:
We have been given an equation
. We are asked to solve our given equation.
First of all, we will add 3 to both sides of our equation.


Now, we will divide both sides of our equation by 4.


Upon rounding our answer to nearest thousandth (3 places after decimal) we will get,

Therefore, the solution for our given equation is
.