Answer:
3720 units^3
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
The volume are equal 
Step-by-step explanation:
Because when you multiply them both they are still equal.
 
        
             
        
        
        
Answer:
Increase: $969.93 New Price: $18,604
Step-by-step explanation:
I got this answer by finding out how much of the initial price 5.5% was, it ended being 969.925 so I rounded that to 969.23 so that I may found how much the price increased, then I added the increase price to the initial price so that I may find out how much the car would cost next year which is, $18,604.
 
        
             
        
        
        
We write the equation in terms of dy/dx,
<span>y'(x)=sqrt (2y(x)+18)</span>
dy/dx = sqrt(2y + 18) 
dy/dx = sqrt(2) ( sqrt(y + 9)) 
Separating the variables in the equation, we will have:
<span>1/sqrt(y + 9) dy= sqrt(2) dx </span>
Integrating both sides, we will obtain
<span>2sqrt(y+9) = x(sqrt(2)) + c </span>
<span>where c is a constant and can be determined by using the boundary condition given </span>
<span>y(5)=9 : x = 5, y = 9
</span><span>sqrt(9+9) = 5/sqrt(2) + C </span>
<span>C = sqrt(18) - 5/sqrt(2) = sqrt(2) / 2</span>
Substituting to the original equation,
sqrt(y+9) = x/sqrt(2) + sqrt(2) / 2
<span>sqrt(y+9) = (2x + 2) / 2sqrt(2) 
</span>
Squaring both sides, we will obtain,
<span>y + 9 = ((2x+2)^2) / 8</span>
y = ((2x+2)^2) / 8 - 9
        
             
        
        
        
Step-by-step explanation:
As
- The graph of the function passes through the point (2,1), and 
- y increases by 4 when x increases by 1.
so
x             y
2             1
3             5
4             9
5             13
6             17
and so on
From the table:




As the slope-intercept form of the line is

putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.




So putting  and
 and  in the slope-intercept form of the line
  in the slope-intercept form of the line 


Therefore, the equation for the linear function will be:
