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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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Date

Score/ 16

  1. Question 1

    2900 is invested at 3% interest compounded continuously, A = Pe^(rt). Find A after 10 years, to 2 decimal places.

    Answer

  2. Question 2

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

    Answer

  3. Question 3

    2000 is invested at 4% interest compounded continuously, A = Pe^(rt). Find A after 6 years, to 2 decimal places.

    Answer

  4. Question 4

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

    Answer

  5. Question 5

    3800 is invested at 4% interest compounded continuously, A = Pe^(rt). Find A after 3 years, to 2 decimal places.

    Answer

  6. Question 6

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

    Answer

  7. Question 7

    4000 is invested at 6% interest compounded continuously, A = Pe^(rt). Find A after 5 years, to 2 decimal places.

    Answer

  8. Question 8

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

    Answer

  9. Question 9

    4400 is invested at 5% interest compounded continuously, A = Pe^(rt). Find A after 3 years, to 2 decimal places.

    Answer

  10. Question 10

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

    Answer

  11. Question 11

    2800 is invested at 6% interest compounded continuously, A = Pe^(rt). Find A after 12 years, to 2 decimal places.

    Answer

  12. Question 12

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

    Answer

  13. Question 13

    4700 is invested at 6% interest compounded continuously, A = Pe^(rt). Find A after 11 years, to 2 decimal places.

    Answer

  14. Question 14

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

    Answer

  15. Question 15

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

    Answer

  16. Question 16

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

    Answer

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  1. 3914.59
  2. 17.3
  3. 2542.5
  4. 17.3
  5. 4284.49
  6. 17.3
  7. 5399.44
  8. 9.9
  9. 5112.07
  10. 23.1
  11. 5752.41
  12. 9.9
  13. 9093.52
  14. 23.1
  15. 4891.81
  16. 17.3