9
Answer: ASet 2: Exponential Functions (Advanced)
Explanation
A savings bond earns 5% interest compounded daily for 1 year. With $1,000 invested, what is the approximate final value?
Use: with
A.✓ Correct
$1,051.27
B.
$1,050.00
C.
$1,052.50
D.
$1,100.00
Detailed Explanation
Choice A is correct. Choice A is the correct answer. Use daily compounding. 1. Values: , , , . 2. Formula: . 3. Calculate: , so . Strategic Tip: Daily compounding approaches continuous compounding (). Choice B is incorrect because this is annual compounding. Choice C is incorrect because this calculation is incorrect. Choice D is incorrect because this assumes 10% growth.
Key Steps:
•
The correct answer is $1,051.27
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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