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What will be the amount on a principal of $1000 after 2 years at an annual compo
What will be the amount on a principal of $1000 after 2 years at an annual compound interest rate of 5%?
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Practice Questions
1 question
Q1
What will be the amount on a principal of $1000 after 2 years at an annual compound interest rate of 5%?
$1102.50
$1050.00
$1200.00
$1150.00
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Amount = P(1 + r)^n = 1000(1 + 0.05)^2 = 1000(1.1025) = $1102.50
Questions & Step-by-step Solutions
1 item
Q
Q: What will be the amount on a principal of $1000 after 2 years at an annual compound interest rate of 5%?
Solution:
Amount = P(1 + r)^n = 1000(1 + 0.05)^2 = 1000(1.1025) = $1102.50
Steps: 9
Show Steps
Step 1: Identify the principal amount (P), which is $1000.
Step 2: Identify the annual interest rate (r), which is 5%. Convert this to decimal form by dividing by 100, so r = 0.05.
Step 3: Identify the number of years (n), which is 2 years.
Step 4: Use the compound interest formula: Amount = P(1 + r)^n.
Step 5: Substitute the values into the formula: Amount = 1000(1 + 0.05)^2.
Step 6: Calculate (1 + 0.05) = 1.05.
Step 7: Raise 1.05 to the power of 2: (1.05)^2 = 1.1025.
Step 8: Multiply the principal by this result: Amount = 1000 * 1.1025.
Step 9: Calculate the final amount: Amount = $1102.50.
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