10
AssignmentMultiple Choice

Infinite Geometric Series

Question 10 • Precalculus

Torrey starts a new job with an annual salary of $60,000. For each year she continues to work for the same company, she will receive a 3 percent raise.If Torrey stays at this job, which shows how much she will have made over the course of her career?

Answer
A
60,000 + 61,800 + 61,800 + …
B
60,000 + 1,800 + 54 + …
C
60,000 + 61,800 + 63,654 + …

Explanation

Torrey’s first year salary is $60,000. A 3% raise adds $60,000 × 0.03 = $1,800, making her second-year salary $61,800. The next raise is based on $61,800, so her third-year salary is $61,800 × 1.03 = $63,654. Therefore, choice C, “60,000 + 61,800 + 63,654 + …,” shows how her yearly earnings grow.

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