SOLUTION: Suppose that $2600 is initially invested in an account with an APR of 3.3% compounded continuously. I created this function, I don't know if it helps: f(t)=2600e^(.033t) And

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Suppose that $2600 is initially invested in an account with an APR of 3.3% compounded continuously. I created this function, I don't know if it helps: f(t)=2600e^(.033t) And       Log On


   



Question 999040: Suppose that $2600 is initially invested in an account with an APR of 3.3% compounded continuously.
I created this function, I don't know if it helps:
f(t)=2600e^(.033t)
And I calculated that the annual percent change (APY) of the account is 3.36%
What is the percent change over 10 years for this account?
Please help!
Thanks!

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
f%280%29=2600%2Ae%5E0=2600%2A1=2609
f%281%29=2600%2Ae%5E%280.033%2A1%29=2600%2Ae%5E0.33
The ratio is f%281%29%2Ff%280%29=e%5E0.033=1.0336=%22103.36%25%22
So after one year, the investement grew to %22103.36%25%22 of the original investment.
The percent change over 1 year (the APY) was %22103.36%25%22-%22100%25%22=%223.36%25%22 .
After 10 years,
f%2810%29=2600%2Ae%5E%280.033%2A10%29=e%5E0.33=about139.10=%22139.10%25%22
The percent increase over the 10 years is
%22139.10%25%22-%22100%25%22=%2239.10%25%22