Answer:
942.22
Step-by-step explanation:
0.9(x-20)=830
Distribute .9
.9x -18 =830
Add 18 to each side
.9x -18+18=830+18
.9x = 848
Divide each side by .9
.9x/.9 = 848/.9
x =942.22222222
To the nearest hundredth
942.22
 
        
             
        
        
        
Answer:
V = $3.50t + $90.5....
Step-by-step explanation:
V(t) is a function of t that expresses the value in year 2000+t.  
We know that the increase is $3.50 times t.
So,
V(t) = $3.50t + c  
where c is the constant.
V(15) =  $3.50 (15) + c = $143     [t=15 as mentioned in the question]
and therefore  
c = $143 - $3.50 (15) 
c= $143 - $52.50 
c= $90.5  
Now we got the value of c. We can write the equation as  
V = $3.50t + $90.5....
 
        
             
        
        
        
Answer:
(19 , -14)
Step-by-step explanation:
Find the distance in between each x & y for a coordinate. 
Let: (x₁ , y₁) = (-1 , 2)
Let: (x₂ , y₂) = (9 , -6)
From x₁ ⇒ x₂: 9 - (-1) = 10
From y₁ ⇒ y₂: -6 - 2 = -8 = 8*
*Remember that distance cannot be negative, but for the sake of this question, we will leave it as -8.
The distance between the x points are in intervals of 10. The distance between the y points are in intervals of 8. Add 10 & subtract 8 to their respective numbers to get endpoint 2: 
(9 (+ 10) , -6 (- 8)) = (19 , -14)
Endpoint 2 = (19 , -14)
~
 
        
             
        
        
        
Answer:
After 5 minutes, the pool will hold 249,00 gallons of water.
After 20 minutes, the pool will hold 246,000 gallons of water.
 
        
                    
             
        
        
        
Answer:
Angles A and E
Step-by-step explanation:
If you see the angles size you would see that A and E are in opposite sides meaning it would be the same so Angles A and E are the same