13
QuizMultiple Choice

Exponential Equations in Financial Contexts — Quiz

Question 13 • Advanced Financial Algebra

A customer invests $⁢55,000 in a certificate of deposit. It compounds 3.9% interest daily and has a final value of $⁢58,313.29 Write an exponential equation and use a graphing calculator to find x , the time in years it will take to reach this amount. Round to the nearest tenth if necessary.

Answer
A
1 point 8 years
B
1 point 5 years
C
3 point 3 years
D
3 point 9 years

Explanation

For daily compounding, use A = P(1 + r/365)^(365x). Substitute the values: 58,313.29 = 55,000(1 + 0.039/365)^(365x). Solving this equation with a graphing calculator gives x ≈ 1.5 years, so the correct choice is 1 point 5 years.

AI-written and checked against the verified answer.

Previous
Next