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Grade 9 · Math · Algebra 1

9th grade Compound interest with a formula worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Compound interest with a formula

Grade 9 Math Worksheet - Building Confidence

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Circle the best answer, or write your answer on the line.

  1. Milo reads about Ms. Frost's pretend account: 6% a year, compounded monthly (12 times a year). In A = P(1 + r/n)^(nt), what is r/n as a decimal?

  2. Noah reads about Mr. Dunn's pretend account: 5% a year, compounded quarterly (4 times a year). In A = P(1 + r/n)^(nt), what is r/n as a decimal?

  3. Pia reads about the class's pretend account: 3% a year, compounded 2 times a year. In A = P(1 + r/n)^(nt), what is r/n as a decimal?

  4. Ren reads about Ms. Hale's pretend account: 2.4% a year, compounded monthly (12 times a year). In A = P(1 + r/n)^(nt), what is r/n as a decimal?

  5. Mr. Cole's pretend account holds $600 at 4% a year, compounded quarterly (4 times a year), for 7 years. Tala looks at the power nt. How many times is interest added?

  6. Ms. Shaw's pretend account holds $900 at 3% a year, compounded monthly (12 times a year), for 2 years. Zee looks at the power nt. How many times is interest added?

  7. The class's pretend account holds $450 at 6% a year, compounded 2 times a year, for 5 years. Ari looks at the power nt. How many times is interest added?

  8. Every arrow: × 1.01. Esme makes a growth table for Ms. Wells's pretend account: $500 at 4% a year, compounded quarterly, one row per quarter. To the nearest cent, what is row 3?

  9. Every arrow: × 1.025. Kira makes a growth table for the class's pretend account: $1,200 at 5% a year, compounded twice a year, one row per half-year. To the nearest cent, what is row 3?

  10. Every arrow: × 1.015. Luz makes a growth table for Ms. Reyes's pretend account: $1,500 at 6% a year, compounded quarterly, one row per quarter. To the nearest cent, what is row 3?

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9th grade Compound interest with a formula worksheet – printable
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About this worksheet

Compound interest with a formula. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find r/n and nt for an account and use A = P(1 + r/n)^(nt).
  • I can tell the balance from the interest, and find either one to the nearest cent.
  • I can compare compounding monthly, quarterly and yearly, and work back to the deposit.

Standard: A-SSE.A.1b, F-LE.A.1c

Words to know

compound interest: Interest that also earns interest, because it is added to the balance.

compounded quarterly / monthly: Interest is added 4 times a year / 12 times a year.

P, r, n, t: Deposit, yearly rate as a decimal, times per year, number of years.

r/n: The rate for one period: the yearly rate shared among the periods.

nt: The number of periods: times per year × years.

balance: Everything in the account: the deposit plus the interest.

Common mistakes

Your child used the whole yearly rate for each period instead of sharing it among the periods.

Your child used the percent as a whole number (6 instead of 0.06) in the formula.

Your child multiplied the yearly rate by the number of periods instead of dividing.

What to say

Ask: if interest is added 12 times a year, what part of the yearly rate is added each time?

Ask: what is 6% as a decimal?

Ask: should each period get more or less than the whole yearly rate?

Questions parents ask

What is the most common mistake with compound interest with a formula?

Your child used the whole yearly rate for each period instead of sharing it among the periods.

How can I help my child with compound interest with a formula?

Ask: if interest is added 12 times a year, what part of the yearly rate is added each time?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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