Question 1195415
A = P (1 + rt)
A	=	final amount
P	=	initial principal balance
r	=	annual interest rate
t	=	time (in years)

Given:

A = $5200
P = $2600
r = ? 
t = 14 years

5200 = 2600 ( 1 + r(14)) divide both sides by 2600
2 = 1 + 14r subtract 1 both sides
1 = 14r divide both sides by 14
1/14 = r 

r = 0.07142857142857142857142857142857 multiply by 100 for percent
r = 7.142857142857142857142857142857

rounded to the nearest tenth of a percent

r = 7.1 %