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Continuous Compound Interest

Authored by Charles Martinez

Mathematics

11th - 12th Grade

CCSS covered

Continuous Compound Interest
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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

$1,225,54
$2,225.54
$22,255.40
$225.54

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Andy invests $500 into an account with 4.8% interest, compounded monthly. How much will be in the account in 10 years?

$799.06
$520.36
$807.26
$877.61

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Mr. T invested $15,000 in an account that pays 5% interest compounding continuously, how much is in the account after 5 years? 

$15,500.50
$19,260.38
$19,260.40
$21,500.25

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.B.5

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

$1,225,54
$2,225.54
$22,255.40
$225.54

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Anjali invests a sum of money in a retirement account with a fixed annual interest rate of 6.79% compounded continuously. After 20 years, the balance reaches $14,037.16. What was the amount of the initial sum of money?

$ 3000

$3610

$ 4500

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.4

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Huong invests $8,589 in a retirement account with a fixed annual interest rate of 7% compounded continuously.How long will it take for the account balance to reach $21,337.85?

15 years

13 years

10 years

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.4

CCSS.HSF.BF.B.5

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Adam invests $6,139 in a retirement account with a fixed annual interest rate compounded continuously. After 17 years, the balance reaches $8,624.97. What is the interest rate of the account?

5%

3%

4%

2%

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

CCSS.HSF.BF.B.5

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