A bank features a savings account that has an annual percentage rate of 4.4 % with interest compounded quarterly. Natalie deposits $4,000 into the account.What is the annual percentage yield (APY) for the savings account? APY= %. Round to the nearest hundredth of a percent.

A bank features a savings account that has an annual percentage rate of 44 with interest compounded quarterly Natalie deposits 4000 into the accountWhat is the class=

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ANSWER :

4.47%

EXPLANATION :

The APY Formula is :

[tex]APY=\left(1+\frac{r}{n}\right)^n-1[/tex]

where r = annual percentage rate

n = number of compounding in a year

From the problem, r = 4.4% or 0.044 and n = 4 (Quarterly)

That will be :

[tex]\begin{gathered} APY=\left(1+\frac{0.044}{4}\right)^4-1 \\ APY=0.0447 \end{gathered}[/tex]

The APY is 4.47%