If the amount of money you invested in the first fund is x and the second fund y, then 9% (or 0.09 by moving the decimal 2 spots)*x+0.03*y=1047 since the first fund paid 9% and the second 3%. In addition, for this year, we get 
0.1*x+0.01*y=811. 
We also have 0.09*x+0.03*y=1047, so we can multiply the top equation by -3 and add it to the second to get -0.21x=-1386. Dividing both sides by -0.21, we get x=6600. In addition, since 0.1*x+0.01*y=811, we can plug 6600 in for x to get 660+0.01*y=811 and by subtracting 660 from both sides we get 0.01*y=151. Multiplying both sides by 100 (since 0.01*100=1), we get y=15100
        
             
        
        
        
Answer:
51.26 ft
Step-by-step explanation:
First find the area of the triangle:
a=1/2 base times height
a=(1/2)(6)(4)
a=12 ft
Now find the area of the circles:
a= pi times radius squared
a= pi times 2.5 squared 
a=19.63 ft
19.63 + 12 = 31.63 ft
 
        
             
        
        
        
Answer:
QRS equals to 91
Step-by-step explanation:
50 + 41 = 91
 
        
             
        
        
        
Answer:  10
<u>Step-by-step explanation:</u>
varies directly means: 
Step 1: solve for k   ⇒  
Step 2: plug in the given value and k to solve for the missing value: 
42(5) = 21(x)

2(5) = x
 10  = x