Answer:
[tex]i=1.6[/tex]
Step-by-step explanation:
The given equation is
[tex](1+i)10-1=25[/tex]
To solve for [tex]i[/tex], first, we need to sum 1 unit to each side of the equation.
[tex](1+i)10-1+1=25+1\\(1+i)10=26[/tex]
Then, we divide the equation by 10
[tex]\frac{(1+i)10}{10} =\frac{26}{10} \\1+i=2.6[/tex]
Finally, we subtract each side with -1
[tex]1+i-1=2.6-1\\i=1.6[/tex]
Therefore, the solution to the given equation is [tex]i=1.6[/tex]
