5
Answer: ASet 2: Exponential Functions
Explanation
$20,000 is borrowed at 9% annual interest compounded monthly. How much is owed after 5 years if no payments are made?
A.✓ Correct
$31,423.48
B.
$29,000.00
C.
$30,772.48
D.
$35,000.00
Detailed Explanation
Choice A is correct. Choice A is the correct answer. Apply monthly compounding to the loan. 1. Values: , , , . 2. Formula: . 3. Calculate: , so . Strategic Tip: Monthly rate = , number of periods = . Choice B is incorrect because this assumes simple interest. Choice C is incorrect because this uses quarterly compounding. Choice D is incorrect because the calculation is wrong.
Key Steps:
•
The correct answer is $31,423.48
Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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