Compound and Continuous Interest Worksheet

Explore compound and continuous interest calculations with this Grade 9 math worksheet, covering formulas, comparisons, and real-world applications.

Grade 9 Math Financial LiteracyCompound and Continuous Interest

Use This Worksheet

Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSF.IF.C.7.E

Topics

mathfinancial literacycompound interestcontinuous interestgrade 9

7 sections · Free to use · Printable

← More Math worksheets for Grade 9

Compound and Continuous Interest

Name:

Date:

Score:

Read each question carefully and provide your answers in the space provided. Show all your work for calculations.

1. The formula for compound interest is A = P(1 + r/n)^(nt), where 'n' represents the number of times interest is per year.

2. For continuous compounding, the formula used is A = Pe^(rt), where 'e' is constant, approximately equal to 2.71828.

3. When interest is compounded more frequently, the effective annual rate of return will .

4. The principal amount in an investment is the amount of money invested or borrowed.

5. Which of the following compounding frequencies would yield the highest amount for a given principal, interest rate, and time period?

Annually

Semi-annually

Monthly

Continuously

6. The variable 't' in the compound interest formula represents:

Total amount

Principal amount

Time in years

Annual interest rate

7. Calculate the future value of an investment of $5,000 at an annual interest rate of 4% compounded quarterly for 5 years.

8. What is the future value of $10,000 invested for 3 years at an annual interest rate of 6% compounded continuously?

9. Compare the future value of $2,000 invested for 10 years at an annual interest rate of 5% when compounded annually versus compounded monthly.

10. Continuous compounding always yields a higher future value than any form of discrete compounding for the same principal, rate, and time.

True

False

11. The more times interest is compounded within a year, the smaller the total interest earned will be.

True

False

12. You want to have $15,000 in 8 years. If you can invest at an annual interest rate of 3.5% compounded semi-annually, how much should you invest today?

13. A savings account offers an annual interest rate of 2.75%. If the interest is compounded continuously, how long will it take for an initial investment to double?