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)

0
180
0%
Mastery

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:
2
180
100%
Mastery

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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