determine the effective rate for $1 invested for 1 year at 7.6% compounded quarterly
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OpenStudy (kropot72):
The amount at the end of 1 year is given by
\[A=P(1+r)^{t}......................(1)\]
where A is the amount after t quarters, P is the principal and r is the quarterly interest as a decimal.
Substituting in (1) gives
\[A=(1+\frac{0.076}{4})^{4}=you\ can\ calculate\]
When you have found A the effective annual rate is obvious.
OpenStudy (anonymous):
thank you
OpenStudy (kropot72):
You're welcome. Have you found the value of A?
OpenStudy (anonymous):
i had a call to take.. im working the prob now
OpenStudy (kropot72):
Good :)
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OpenStudy (anonymous):
i came up with 1.078
OpenStudy (kropot72):
Close. 1.0782 is better.
The effective annual rate is found from
\[r _{effective}=(1.0782-1)\times 100\ percent\]
OpenStudy (kropot72):
@camarogirl Have you got it yet?
OpenStudy (anonymous):
7.82
OpenStudy (anonymous):
7.819
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