If an account has an APR of 100r% compounded continuously, its annual growth factor is  .    Based on your answer to part (a), the account's t-year growth factor must then be  .    Based on your answers to parts (a) and (b), what will be the account's value after t years if the initial investment is P dollars? $    Therefore, the function A that models the account's value after t years if interest is compounded continuously is (use the same parameter letters defined above): A(t)=

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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  1. If an account has an APR of 100r% compounded continuously, its annual growth factor is  .   

  2. Based on your answer to part (a), the account's t-year growth factor must then be  .   

  3. Based on your answers to parts (a) and (b), what will be the account's value after t years if the initial investment is P dollars?

    $   

  4. Therefore, the function A that models the account's value after t years if interest is compounded continuously is (use the same parameter letters defined above):

    A(t)=

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