thisismysermon thisismysermon
  • 04-04-2020
  • Mathematics
contestada

You deposit $1500 in an account that pays 7% annual interest. Find the balance after 2 years when the interest is compounded daily.

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opudodennis
opudodennis opudodennis
  • 09-04-2020

Answer:

$1,725.39

Step-by-step explanation:

-Take 1 year =365 days.

#We calculate the effective interest rate for 7% compounded daily;

[tex]i_m=(1+i/m)^m-1\\\\=(1+0.07/365)^{365}-1\\\\=0.072501[/tex]

#We now use this rate to calculate the compounded amount after two years:

[tex]A=P(1+i_m)^n\\\\=1500(1.072501)^2\\\\=1725.39[/tex]

Hence, the  balance after 2 years $1,725.39

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