PV=FV/(1+i)^t
FV=7000, i=3.5%=0.035,t=9
put everything in the formula
PV=7000/(1+0.035)^9
PV=$5136.12
3x + 11y = 8
-3x -3x
11y = 8 - 3x
/11 /11
y = 0.72 - 3x/11
Answer with explanation:
The given differential equation is
y" -y'+y=2 sin 3x------(1)
Let, y'=z
y"=z'

Substituting the value of , y, y' and y" in equation (1)
z'-z+zx=2 sin 3 x
z'+z(x-1)=2 sin 3 x-----------(1)
This is a type of linear differential equation.
Integrating factor

Multiplying both sides of equation (1) by integrating factor and integrating we get


Answer:
If the balance is growing exponentially the balance after 45.4 months will be $44,925.94.
Step-by-step explanation:
The exponential growth equation is:

Compute the value of f (x) for <em>x</em> = 45.4 as follows:


Thus, if the balance is growing exponentially the balance after 45.4 months will be $44,925.94.