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makvit
10 days ago
15

The APR of Vinny's savings account is 3.5%, but interest is compounded only once a year. What is the APY of Vinny's savings acco

unt?
Mathematics
2 answers:
tester [11.8K]10 days ago
6 0

We've established that Vinny's savings account has an APR of 3.5%, with interest compounded just once yearly. We need to determine the Annual Percentage Yield of the account.

To resolve this, we'll apply the APY formula to our issue.

APY=(1+\frac{r}{n})^n-1, where,

r = annual percentage rate expressed as a decimal,[ [TAG_9]]

n = number of compounding periods in a year.

3.5\%=\frac{3.5}{100}=0.035

Given that the interest is compounded yearly, we have n=1.

APY=(1+\frac{0.035}{1})^1-1

APY=(1+0.035)-1

APY=(1.035)-1

APY=0.035

When we change 0.035 to a percentage, we obtain 3.5%%.

Thus, the APY for Vinny's savings account is 3.5%.

tester [11.8K]10 days ago
4 0
Vinny's savings account has an Annual Percentage Yield of 3.5%, which matches the Annual Percentage Rate since the interest is compounded annually. By compounding interest once every year, it equates to the interest rate per annum. 
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