lexclaycomb5980 lexclaycomb5980
  • 25-10-2019
  • Mathematics
contestada



Barbara deposits $3,000 in a one year CD at 4.1% interest, compounded

daily. What is the APY to the nearest hundredth of a percent?

Respuesta :

rani01654 rani01654
  • 30-10-2019

Answer:

4.184%

Step-by-step explanation:

Barbara deposits $3000 in a one year CD account at 4.1% interest per year i.e. [tex]\frac{4.1}{365}[/tex] %  =0.01123% per day, compounded daily.

So, after one year the sum will become [tex]3000[1+\frac{0.01123}{100} ]^{365}[/tex]

= $3.125.52

Hence, total interest that he gets = $( 3125.516 - 3000) = $125.516.

Therefore, the APY that he get per year = [tex]\frac{125.516 \times 100}{3000}[/tex] = 4.184% (rounded to the nearest hundredth of the percent)

(Answer)

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