you invest 3200 in an account that pays an interest rate of 7.25% compounded continuously. Calculate your balance after 12 years
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OpenStudy (anonymous):
@Shalante
OpenStudy (anonymous):
Use the continuously compounding interest formula
\[A = Pe^{rt}\]
P = principal (amount invested)
r = interest rate
t = time in years
OpenStudy (anonymous):
but what is e?
OpenStudy (anonymous):
e is a constant. It's irrational and approximately 2.71828. Use the e^ button on your calculate for more accurate estimations
OpenStudy (anonymous):
so that is e?
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OpenStudy (anonymous):
yes
OpenStudy (anonymous):
so you'd put this in your calculator
\[3200e^{(0.0725*12)}\]
OpenStudy (anonymous):
so A=3200*2.71^12*.0725
OpenStudy (anonymous):
7617.86 is the answer
OpenStudy (anonymous):
3200*e^(12*.0725)
Use the "e" button and you get $7638.11
As you can see it makes a big difference. If you round, use more decimal points (at least 5) so you get a closer number
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