Math Practice Topic: Continuous Compound Interest

Description: Calculate continuous compound interest given a balance, rate, and time.

Adaptive Learning Progression: Numbers get bigger.

Sample Levels (out of 3)

Answer the following questions involving continuously compounded interest. Input all answers to the nearest dollar. Use 2.7 as the value for e.

1.
Interest Rate: 2% per year
Starting Balance: $1870
Time Passed: 14 years
What is the new total balance?
How much interest has accrued if calculated as continuously compounded interest?

  Total balance:
  Interest:
2.
Interest Rate: 3% per year
Starting Balance: $1090
Time Passed: 13 years
What is the new total balance?
How much interest has accrued if calculated as continuously compounded interest?

  Total balance:
  Interest:
3.
Interest Rate: 6% per year
Starting Balance: $1830
Time Passed: 10 years
What is the new total balance?
How much interest has accrued if calculated as continuously compounded interest?

  Total balance:
  Interest:

Answer the following questions involving continuously compounded interest. Input all answers to the nearest dollar. Use 2.7 as the value for e.

1.
Interest Rate: 6% per year
Starting Balance: $7900
Time Passed: 48 months
What is the new total balance?
How much interest has accrued if calculated as continuously compounded interest?

  Total balance:
  Interest:
2.
Interest Rate: 3% per year
Starting Balance: $5680
Time Passed: 96 months
What is the new total balance?
How much interest has accrued if calculated as continuously compounded interest?

  Total balance:
  Interest:
3.
Interest Rate: 1% per year
Starting Balance: $3730
Time Passed: 156 months
What is the new total balance?
How much interest has accrued if calculated as continuously compounded interest?

  Total balance:
  Interest:

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