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A fund compounds interest monthly. if a principle of $14000 yields $45510 after a 5 year term, find the nominal annual interest rate.

Let A = Final Amount
Let P = Principle
Let r = Rate
Let t = Time
Let n = Interest periods per year
 
Given: P = $14000
Given: A = $45510
Given: n = 12
Given: T = 5 YEARS
 
                 nt
A = P(1+r/n)  
                     12*5
45510 = 14000(1+r/12)    
 
                  60
3.25071 = (1+r/12)  
 
                         60 
Ln(3.25071) = Ln((1+r/12)  )
                           
Ln(3.25071) = 60Ln(1+r/12)
                            
Ln(3.25071)/60 = Ln(1+r/12)
                       
0.0196479 = Ln(1+r/12)
 
0.0196479         
e          = 1+r/12
 
0.0198422 = r/12
                     
r = 0.238106 = 23.81%