To find the value of [tex]\( I \)[/tex] given the values [tex]\( p = 200 \)[/tex], [tex]\( r = 0.13 \)[/tex], and [tex]\( t = 2 \)[/tex], we use the formula for simple interest:
[tex]\[ I = prt \][/tex]
Here is the step-by-step solution:
1. Identify the given values:
[tex]\[
p = 200, \quad r = 0.13, \quad t = 2
\][/tex]
2. Plug the given values into the simple interest formula:
[tex]\[
I = 200 \times 0.13 \times 2
\][/tex]
3. First, multiply the principal [tex]\( p \)[/tex] by the rate [tex]\( r \)[/tex]:
[tex]\[
200 \times 0.13 = 26
\][/tex]
4. Next, multiply the result by the time [tex]\( t \)[/tex]:
[tex]\[
26 \times 2 = 52
\][/tex]
5. Therefore, the value of [tex]\( I \)[/tex] is:
[tex]\[
I = 52.0
\][/tex]
So, [tex]\( I = 52.0 \)[/tex].
