Question

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

Answer 1

Answer:

$i=1.6$

Step-by-step 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

$\frac{(1+i)10}{10} =\frac{26}{10} \\1+i=2.6$

Finally, we subtract each side with -1

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

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