Question

Solve for i in the following equation by means of linear interpolation
(1 + i)10 – 1
= 25​

Answer 1

`i=1.6`

Explanation:

The given equation is

`(1+i)10-1=25`

To solve for
`i`, first, we need to sum 1 unit to each side of the equation.

`(1+i)10-1+1=25+1\\(1+i)10=26`

Then, we divide the equation by 10

`((1+i)10)/(10) =(26)/(10) \\1+i=2.6`

Finally, we subtract each side with -1

`1+i-1=2.6-1\\i=1.6`

Therefore, the solution to the given equation is
`i=1.6`