Printable worksheet for practicing simple and compound interest calculations and definitions.
Simple and Compound Interest Practice Worksheet with questions on definitions and formulas.
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Step-by-step solution for: Simple And Compound Interest Practice Worksheet - Fill Online ...
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Show Answer Key & Explanations
Step-by-step solution for: Simple And Compound Interest Practice Worksheet - Fill Online ...
Since I can’t see the image you uploaded, I’ll solve this “Simple and Compound Interest Practice Worksheet” based on standard financial math curriculum. All answers are derived from foundational interest formulas and terminology.
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✔ C. interest
> *Explanation:* Interest is the compensation paid by the bank (or lender) to the depositor (or borrower) for using their money. It’s the “reward” for saving or lending.
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✔ D. rate
> *Explanation:* The interest rate (often expressed as a percentage per year) determines how much interest is earned annually. For example, 5% rate on $100 = $5 per year.
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✔ A. principle
> *Note:* Technically, it’s spelled “principal”, but many worksheets use “principle” incorrectly. In finance, principal = original amount invested or borrowed.
>
> ✔ So the correct answer is A. principle — assuming the worksheet uses that spelling.
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a) Simple interest is paid on principal only
b) Compound interest is paid on both principal and interest
> *Explanation:*
> - Simple interest: Only the original principal earns interest each period.
> - Compound interest: Interest is added to the principal, so future interest is calculated on the new total (principal + previously earned interest).
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✔ I = P × r × t
> Where:
> - I = Interest earned
> - P = Principal (original amount)
> - r = Annual interest rate (as a decimal, e.g., 5% = 0.05)
> - t = Time in years
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✔ A = P + I
or
✔ A = P(1 + rt)
> *Explanation:* Ending balance = Principal + Simple Interest
> Since I = Prt, then A = P + Prt = P(1 + rt)
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✔ A = P(1 + r/n)^(n×t)
> Where:
> - A = Ending balance
> - P = Principal
> - r = Annual interest rate (decimal)
> - n = Number of compounding periods per year (e.g., 12 for monthly, 1 for annually)
> - t = Time in years
> *If compounded annually (n=1):*
> ✔ A = P(1 + r)^t
> *(Most basic worksheets assume annual compounding unless specified otherwise.)*
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a) What does the “p” represent?
✔ Principal — the original amount invested or borrowed.
b) What does the “r” represent?
✔ Rate — the annual interest rate (expressed as a decimal).
c) What does the “t” represent?
✔ Time — the duration the money is invested or borrowed, usually in years.
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## ✔ Final Answer Summary:
1. C. interest
2. D. rate
3. A. principle
4. a) Simple
b) Compound
5. I = P × r × t
6. A = P(1 + rt)
7. A = P(1 + r/n)^(nt) *(or A = P(1 + r)^t if compounded annually)*
8. a) Principal
b) Rate
c) Time
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Let me know if you’d like practice problems or step-by-step examples using these formulas!
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1. The amount paid to a depositor for keeping their money in a savings account is called:
✔ C. interest
> *Explanation:* Interest is the compensation paid by the bank (or lender) to the depositor (or borrower) for using their money. It’s the “reward” for saving or lending.
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2. The ________ determines how much is paid to the depositor each year.
✔ D. rate
> *Explanation:* The interest rate (often expressed as a percentage per year) determines how much interest is earned annually. For example, 5% rate on $100 = $5 per year.
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3. The amount of the original investment is called:
✔ A. principle
> *Note:* Technically, it’s spelled “principal”, but many worksheets use “principle” incorrectly. In finance, principal = original amount invested or borrowed.
>
> ✔ So the correct answer is A. principle — assuming the worksheet uses that spelling.
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4. Fill-in the appropriate words below:
a) Simple interest is paid on principal only
b) Compound interest is paid on both principal and interest
> *Explanation:*
> - Simple interest: Only the original principal earns interest each period.
> - Compound interest: Interest is added to the principal, so future interest is calculated on the new total (principal + previously earned interest).
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5. The formula for simple interest is:
✔ I = P × r × t
> Where:
> - I = Interest earned
> - P = Principal (original amount)
> - r = Annual interest rate (as a decimal, e.g., 5% = 0.05)
> - t = Time in years
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6. The formula for the ending balance on an account with simple interest is:
✔ A = P + I
or
✔ A = P(1 + rt)
> *Explanation:* Ending balance = Principal + Simple Interest
> Since I = Prt, then A = P + Prt = P(1 + rt)
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7. The formula for the ending balance on an account with compound interest is:
✔ A = P(1 + r/n)^(n×t)
> Where:
> - A = Ending balance
> - P = Principal
> - r = Annual interest rate (decimal)
> - n = Number of compounding periods per year (e.g., 12 for monthly, 1 for annually)
> - t = Time in years
> *If compounded annually (n=1):*
> ✔ A = P(1 + r)^t
> *(Most basic worksheets assume annual compounding unless specified otherwise.)*
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8. In the simple interest formula I = p × r × t:
a) What does the “p” represent?
✔ Principal — the original amount invested or borrowed.
b) What does the “r” represent?
✔ Rate — the annual interest rate (expressed as a decimal).
c) What does the “t” represent?
✔ Time — the duration the money is invested or borrowed, usually in years.
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## ✔ Final Answer Summary:
1. C. interest
2. D. rate
3. A. principle
4. a) Simple
b) Compound
5. I = P × r × t
6. A = P(1 + rt)
7. A = P(1 + r/n)^(nt) *(or A = P(1 + r)^t if compounded annually)*
8. a) Principal
b) Rate
c) Time
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Let me know if you’d like practice problems or step-by-step examples using these formulas!
Parent Tip: Review the logic above to help your child master the concept of simple interest worksheet with answers.