Answer:
   35 years
Step-by-step explanation:
The proportion p that remains after y years is ...
   p = (1/2)^(y/5.27)
In order for 1/100 to remain (the level decays from 100 times to 1 times), we have ...
   .01 = .5^(y/5.27)
   log(0.01) = y/5.27·log(0.5) . . . take logs
   y = 5.27·log(0.01)/log(0.5) ≈ 35.01 ≈ 35 . . . . years
 
        
             
        
        
        
2/3 or 4/6 chance of the tv to work 1/3 or 2/6 chance it won't work.
        
             
        
        
        
Answer:
21.9 ft
Step-by-step explanation:
The area of a square is the square of the side length, so the side length is the square root of the area:
... s = √(479 ft²) ≈ 21.886 ft
This is approximately 21.9 ft.
 
        
             
        
        
        
Answer
a. The backpack is $4.50
b. The sweatshirt is $2.70
Step-by-step explanation:
a. 30 x 0.15 = 4.50 (The 0.15 is from the price you are actually paying for the item. Because the item is 85% off, you are paying for 15% of the usual price. 15% as a decimal is 0.15 so you multiply that to the original price to find the amount u will pay.)
b. 18 x 0.15 = 2.70