Answer:
x = 1178 games
Step-by-step explanation:
Let the number of games = x
Let the total cost = Tc 
Let the total revenue = Tr 
Given the following data;
Investment = $10,000 
Cost of each game = $1.50
Selling cost = $9.99
Total cost, Tc = (Cost of each game * Number of games) + Investment 
Tc = 1.50x + 10000
Total revenue, Tr = Selling cost * Number of games
Tr = 9.99x
Breakeven point is when total cost is equal to total revenue;
Tc = Tr
 
 
 
 
 
 
 
 
x = 1177.86 ≈ 1178 games. 
<em>Therefore, the number of games that must be sold before the business breaks even is 1178 games. </em>
 
        
             
        
        
        
A= πr² = π × 6² = "113.1" is the area of the frisbee. 
Please put me as brainliest.
        
             
        
        
        
Answer: 147 cm²
Step-by-step explanation:
    Since it says to use 3 for pi, and the radius is given to us (7 cm), we will plug in and solve for the area.
A = πr²
A = (3)(7)²
A = 147 cm²
 
        
                    
             
        
        
        
Answer:
33/16
Step-by-step explanation:
x = y⁴/8 + 1/(4y²), 1 ≤ y ≤ 2
dx/dy = y³/2 − 1/(2y³)
Arc length is:
s = ∫ ds
s = ∫ √(1 + (dx/dy)²) dy
s = ∫₁² √(1 + (y³/2 − 1/(2y³))²) dy
s = ∫₁² √(1 + y⁶/4 − ½ + 1/(4y⁶)) dy
s = ∫₁² √(½ + y⁶/4 + 1/(4y⁶)) dy
s = ∫₁² ½ √(2 + y⁶ + 1/y⁶) dy
s = ∫₁² ½ √(y³ + 1/y³)² dy
s = ∫₁² ½ (y³ + 1/y³) dy
s = ½ (y⁴/4 − 1/(2y²)) |₁²
s = ½ (16/4 − 1/8) − ½ (1/4 − 1/2)
s = 33/16
 
        
             
        
        
        
Answer:
120
Step-by-step explanation:
120/5 = 24
120/3 = 40
120/2 = 60