To solve the expression [tex]\(12400 \left(1 - \frac{15}{100} \right)^3\)[/tex], we should carefully follow these steps:
1. Simplify the fraction:
[tex]\[\frac{15}{100} = 0.15\][/tex]
2. Subtract the fraction from 1:
[tex]\[1 - 0.15 = 0.85\][/tex]
3. Raise the result to the power of 3:
[tex]\[0.85^3 = 0.614125\][/tex]
4. Multiply the initial amount by the result:
[tex]\[12400 \times 0.614125 = 7615.15\][/tex]
Therefore, the final result is:
[tex]\[
12400 \left(1 - \frac{15}{100} \right)^3 = 7615.15
\][/tex]
This result indicates that after applying the given decrease over three years, the amount of 12400 reduces to approximately 7615.15.
