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Continuous growth and the number e

12th grade (Year 13 in England) · 16 questions · Common Core: HSF.LE.A.4, HSF.LE.B.5

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  1. Question 1

    How long does it take money to double at 4% compounded continuously? Give the answer in years to 1 decimal place.

    Answer

  2. Question 2

    2100 is invested at 2% interest compounded continuously, A = Pe^(rt). Find A after 15 years, to 2 decimal places.

    Answer

  3. Question 3

    How long does it take money to double at 10% compounded continuously? Give the answer in years to 1 decimal place.

    Answer

  4. Question 4

    800 is invested at 5% interest compounded continuously, A = Pe^(rt). Find A after 11 years, to 2 decimal places.

    Answer

  5. Question 5

    How long does it take money to double at 7% compounded continuously? Give the answer in years to 1 decimal place.

    Answer

  6. Question 6

    3100 is invested at 3% interest compounded continuously, A = Pe^(rt). Find A after 9 years, to 2 decimal places.

    Answer

  7. Question 7

    How long does it take money to double at 4% compounded continuously? Give the answer in years to 1 decimal place.

    Answer

  8. Question 8

    2800 is invested at 2% interest compounded continuously, A = Pe^(rt). Find A after 13 years, to 2 decimal places.

    Answer

  9. Question 9

    How long does it take money to double at 4% compounded continuously? Give the answer in years to 1 decimal place.

    Answer

  10. Question 10

    800 is invested at 6% interest compounded continuously, A = Pe^(rt). Find A after 7 years, to 2 decimal places.

    Answer

  11. Question 11

    How long does it take money to double at 7% compounded continuously? Give the answer in years to 1 decimal place.

    Answer

  12. Question 12

    4700 is invested at 4% interest compounded continuously, A = Pe^(rt). Find A after 5 years, to 2 decimal places.

    Answer

  13. Question 13

    How long does it take money to double at 3% compounded continuously? Give the answer in years to 1 decimal place.

    Answer

  14. Question 14

    3000 is invested at 6% interest compounded continuously, A = Pe^(rt). Find A after 14 years, to 2 decimal places.

    Answer

  15. Question 15

    How long does it take money to double at 3% compounded continuously? Give the answer in years to 1 decimal place.

    Answer

  16. Question 16

    2300 is invested at 4% interest compounded continuously, A = Pe^(rt). Find A after 14 years, to 2 decimal places.

    Answer

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Answer key: Continuous growth and the number e

  1. 1. 17.3

  2. 2. 2834.7

  3. 3. 6.9

  4. 4. 1386.6

  5. 5. 9.9

  6. 6. 4060.89

  7. 7. 17.3

  8. 8. 3631.4

  9. 9. 17.3

  10. 10. 1217.57

  11. 11. 9.9

  12. 12. 5740.59

  13. 13. 23.1

  14. 14. 6949.1

  15. 15. 23.1

  16. 16. 4026.55