Answer:
b
Step-by-step explanation:
 
        
             
        
        
        
Answer:
   11.4 years
Step-by-step explanation:
We assume you want to know the time it takes for Lucy's investment of $1200 to have a value of $6400. The compound interest formula is good for finding that.
   FV = P(1 +r/n)^(nt)
for principal P invested at rate r per year for t years, compounded n times per year. We want to find t such that ...
   6400 = 1200(1 +0.15/4)^(4t)
   16/3 = 1.0375^(4t) . . . . divide by 1200
   log(16/3) = 4t·log(1.0375) . . . . take logarithms
   t = log(16/3)/(4·log(1.0375)) ≈ 11.4
It will take about 11.4 years for Lucy's investment value to be $6400.
 
        
             
        
        
        
A c and d are the answers
        
             
        
        
        
In order they make 20$/hr, 5$/h, 10$/hr, and 30$/hr.  The last one makes the most by far!