Answer:
  hrs/house
hrs/house 
Step-by-step explanation:
 Rate is the amount of work done per unit of time;
   Let Cara's rate  = C
    Let Jena's rate  = J 
         C + J  = 4  ------ i 
Now;
   Working alone:
              Jena takes twice as long as Cara
                           J  = 2C  ---- i 
How long does it take Cara to clean a house alone 
            C + J  = 4 
              J = 2C 
         C + 2C = 4 
            3C = 4 
               C =  hrs/house
hrs/house 
 
        
             
        
        
        
Answer: You will pay $13.52 for this shirt.
Step-by-step explanation: 0.9435
Since the tax is 7.5%, you have to multiply 12.58 by 7.5% to find the amount of money paid as tax.
7.5% = 0.075
12.58 x 0.075 = 0.9435
Since we are dealing with money we have to round to the nearest hundredth -- 0.9435 = 0.94
Then to find the final cost of the shirt, we have to add 12.58 and 0.94 to get  $13.52.
 
        
                    
             
        
        
        
Answer:
144°
Step-by-step explanation:
step 1
Find the measure of the central angle of the regular pentagon
Divide 360 degrees by 5 (the number of sides)

Let
c----> the center of the pentagon
we know that
m∠ECA=72°
m∠ACB=72°
therefore
m∠ECB=m∠ECA+m∠ACB
substitute the values
m∠ECB=72°+72°=144°
The measure of angle ECB is equal to the degrees that the pentagon rotate
 
        
             
        
        
        
Answer:
if the equation is f(x)=ax^2+bx+c
Step-by-step explanation:
 
        
             
        
        
        
Each year 107.2%increase of budget
first year 500 * 1.072 = 536
second year 536 * 1.072 = 574.592
third year 574.592 * 1.072 = 615.962624
..
..
sixth year 707.854392 *  1.072 = 758.819908
or you can just (1.072)^6 * 500 = 1.517639816659862 * 500 = 758.8199083299308
bingo........