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Mathematics 5 Online
OpenStudy (anonymous):

determine the effective rate for $1 invested for 1 year at 7.6% compounded quarterly

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 :)

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

OpenStudy (kropot72):

Good work! 7.819% is correct.

OpenStudy (anonymous):

thank you

OpenStudy (kropot72):

You're welcome :)

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