Answer:
p = -2 ±sqrt( 5)
Step-by-step explanation:
 p^2 + 4p = 1
Take the coefficient of p
4
Divide by 2
4/2 =2
Square it
2^2 = 4
Add it to each side
 p^2 + 4p+4 = 1+4
(p+2) ^2 = 5
Take the square root of each side
sqrt((p+2) ^2) =±sqrt( 5)
p+2 = ±sqrt( 5)
Subtract 2 from each side
p+2-2 = -2 ±sqrt( 5)
p = -2 ±sqrt( 5)
 
        
             
        
        
        
Answer:
   $7724
Step-by-step explanation:
Her estimated quarterly income is $73,040/4 = $18,260.
Her estimated tax rate is ...
   27% + 12.4% + 2.9% = 42.3%
This tax rate applied to her estimated earnings gives an estimated quarterly tax of ...
   $18,260 × 0.423 = $7723.98
   ≈ $7724 . . . . . taxes are rounded to the nearest dollar
 
        
             
        
        
        
Answer:
Step-by-step explanation:
so you want to know the formula for the volume of a cylinder
volume (cylinder) = area of the circular base * height
2279.64 = area of a circle + height
area of a circle is 

they tell us the radius is 11 feet   so r = 11
circle = 
 = 38013271
 = 38013271
 2279.64 = 38013271 * height
 2279.64 / 38013271 = height
5.996958 = height   in feet 
 
        
             
        
        
        
Answer:

Step-by-step explanation:
A second order linear , homogeneous ordinary differential equation has form  .
.
Given: 
Let  be it's solution.
 be it's solution.
We get,

Since  ,
, 
{ we know that for equation  , roots are of form
, roots are of form  }
 }
We get,

For two complex roots  , the general solution is of form
, the general solution is of form 
i.e 
Applying conditions y(0)=1 on  ,
, 
So, equation becomes 
On differentiating with respect to t, we get

Applying condition: y'(0)=0, we get 
Therefore,

 
        
             
        
        
        
Answer:
18$ fro 3
Step-by-step explanation:
18/3= 6 
35/5=7
because 6 is less than 7 you should buy 3 flash drivers it's thebetter deal