Answer:
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- <em>At the end of the first compounding period: </em><u>$1,050.00</u>
- <em>At the end of the second compounding period: </em><u>$1,102.50</u>
Explanation:
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<u>1. First period:</u>
- <em>APR = 10%</em> = 0.1 compounded semi-annually.
- <em>Semi-annually compound interest</em>: 0.1 / 2 = 0.05
- Interest earned at the end of the first period: $1,000 × 0.05 = $50.00
- Amount in the accoun at the end of the first period:
$1,000.00 + $50.00 = $1,050.00
<u>2. Second period</u>
- Amount in the account beginning the second period: $1,050.00
- Semi-annually compound interest: 0.1 / 2 = 0.05
- Interest earned in the second period:
$1,050.00 × 0.05 = $50.00 = $52.50
- Amount in the account at the end of the second period:
$1,050.00 + $52.50 = $1,102.50
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