4
QuizMultiple Choice

Unit Test — Unit test

Question 4 • Fall 24 GMS Advanced Algebra: Concepts and Connections A

Mario invested $6,000 in an account that pays 5% annual interest compounded annually. Using the formula A = P(1 + r)t, what is the approximate value of the account after 2.5 years?

Answer
A
$6,075
B
$6,118
C
$6,456
D
$6,778

Explanation

Use the compound-interest formula with the exponent on the growth factor: A = 6,000(1 + 0.05)^2.5. This gives approximately 6,000 × 1.1297 = $6,778. The account’s approximate value is $6,778, choice D.

AI-written and checked against the verified answer.

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