devinbirdwell29
devinbirdwell29 devinbirdwell29
  • 08-03-2018
  • Mathematics
contestada

A credit card advertises an annual interest rate of 23%.

What is the equivalent monthly interest rate?

i=__^_t

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theasianinny3
theasianinny3 theasianinny3
  • 08-03-2018
in one year
1 + (23/100) = (1 + x)^12
1 + 0.23 = (1 + x)^12
(1 + x)^12 = 1.23
1 + x = 1.23^(1/12)
x = 1.23^(1/12) - 1
x =~ 0.017400841772181508280113627030242
That's about 1.74% per month (which is about 20.881% per year), compounded monthly, to equal 23% per year, compounded annually.


So I believe you can write
I=(1+.0174)12torI=1.017412t
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musiclover10045
musiclover10045 musiclover10045
  • 08-03-2018

 the monthly rate is:

[1 + 23%]^(1/12) =1.23^(1/12) =1.0174 - 1 x 100 =1.74%

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