Subjects algebra

Salary Increase 2D58Fa

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Salary Increase 2D58Fa


1. **Problem statement:** Ardizha starts with a monthly salary of 6,000,000 in January 2025. Each year, his salary increases by 2% of the initial salary. We need to find his monthly salary at the end of 2030. 2. **Formula and explanation:** The salary increases by a fixed amount each year, which is 2% of the initial salary. This is an arithmetic sequence where: - Initial salary $S_0 = 6,000,000$ - Annual increase $d = 2\% \times 6,000,000 = 0.02 \times 6,000,000 = 120,000$ - Number of years from 2025 to 2030 is $n = 2030 - 2025 = 5$ years The salary at the end of year $n$ is given by: $$ S_n = S_0 + n \times d $$ 3. **Calculation:** $$ S_5 = 6,000,000 + 5 \times 120,000 = 6,000,000 + 600,000 = 6,600,000 $$ 4. **Answer:** Ardizha's monthly salary at the end of 2030 is **6,600,000**.