We are given the functions:
<span>S (p) = 40 + 0.008 p^3                                     --->
1</span>
<span>D (p) = 200 – 0.16 p^2                                     --->
2</span>
 
T o find for the price in which the price of supply equals
demand, all we have to do is to equate the two equations, equation 1 and 2, and
calculate for the value of p, therefore:
S (p) = D (p)
40 + 0.008 p^3 = 200 – 0.16 p^2
0.008 p^3 + 0.16 p^2 = 160
p^3 + 20 p^2 = 20,000
p^3 + 20 p^2 – 20,000 = 0
Calculating for the roots using the calculator gives us:
p = 21.86, -20.93±21.84i
 
Since price cannot be imaginary therefore:
p = 21.86
 
        
             
        
        
        
Let one of the number be x
The other number will be x + 2
x + x + 2 = 15044
2x + 2 = 15044
2x = 15044 -2 
2x = 15042
x = 7521
x + 2 = 7521 + 2 = 7523
The office number is 7521 and 7523
        
             
        
        
        
Answer:
1/144
step explanation:
(-1/12)^2 is -1/12 multiplied by itself twice. When multiplying fractions you can multiply straight across. When two negatives are multiplied together it makes a positive, so the answer is 1/144.
 
        
                    
             
        
        
        
Answer:
1178.25cm^3 
Step-by-step explanation:
Volume of a cylinder is given as V = Pi x r^2 xh 
 PI= 3.142 
 R = 5cm 
 H=15cm 
So volume = 3.142 x 5cm x 5cm x 15cm
 = 1178.25cm^3