9
QuizMultiple Choice

Matrices and Sequences — Test

Question 9 • Algebra II

Micah takes a job with a starting salary of 78 dollars comma 000 for the first year. He earns a 4 percent increase each year. To the nearest dollar, how much does Micah make over the first seven years?

Answer
A
718 dollars comma 499
B
718 dollars comma 710
C
616 dollars comma 067
D
567 dollars comma 840

Explanation

Each year's salary is 4% higher than the previous year's, so the seven salaries form a geometric sequence: $78,000, $78,000(1.04), and so on through $78,000(1.04)^6. Adding them gives $78,000[(1.04^7 − 1) ÷ 0.04] ≈ $616,067. Therefore, the correct choice is $616,067.

AI-written and checked against the verified answer.

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