30x+343= 13786

30x= 13443

x=448. 1

D: the annual growth rate is

448. 1

2. Suppose the annual growth rate is X%

( 1+x%)^30= 13786/343

( 1+x%)^30=

40. 1924 198

(approximate value)

(1).(2) Simultaneous logarithm.

30

lg( 1+x%)=lg

40. 1924 198

30

LG( 1+x %)= 1.604 144

lg( 1+x%)=0.05347 14

1+x%= 10^0.05347 14

1+x % = 1. 13 102290

De: x= 13. 1

The annual growth rate is

13. 1%