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Find the value of [tex]\( I \)[/tex] given that [tex]\( p = 200 \)[/tex], [tex]\( r = 0.13 \)[/tex], and [tex]\( t = 2 \)[/tex].

[tex]\[ I = prt \][/tex]

[tex]\[ I = \][/tex] [tex]\(\square\)[/tex]


Sagot :

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].