The minute hand is like an eight inch radius of a circle, whose circumference would equal 2 * PI * 8 = 50.265 inches.  By moving to 8 o'clock, it travels 2/3 of the circumference or 50.265 * 2/3 = 33.510 inches
 
        
                    
             
        
        
        
Answer:x = 3
Step-by-step explanation:
X =9/3
X=3
 
        
                    
             
        
        
        
Answer:
(22,0)
Step-by-step explanation:
1. Select any two points given and find their slope (rise/run)
        (-38, 40) and (-23, 30) 
       slope =    = - 2/3
 = - 2/3
2. Use the slope and one of the points to create an equation of the line in the format y = mx + b, where m = slope and b = y-intercept. 
     y = mx + b ⇒ 40 = -2/3 (-38) + b
3. Solve for b 
    40 = -2/3 (-38) + b
    40 = 76/3 + b
    40 - 76/3 = b 
    b = 44/3
4. To find the x-intercept, set y = 0, and solve. 
    y = -2/3 x + 44/3 
    0 = -2/3 x + 44/3 
    2/3 x = 44/3 
    x = 22
Hope this helped!
 
        
             
        
        
        
Answer:
1.97 years
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(17,500.00/15,000.00) / ( 2 × [ln(1 + 0.08/2)] )
t = ln(17,500.00/15,000.00) / ( 2 × [ln(1 + 0.04)] )
t = 1.965 years
:D