The APR of Kylee's savings account is 5.6%, and interest is compounded quarterly. If the principal in Kylee's savings account was $5800 for an entire year, what will be the balance of her account after all the interest is paid for the year? Show your work.

Verified Answer :

Using the attached formula:
Total = 5,800 (1 + (.056/4))^41
Total = 5,800 (1.014)^4
Total = 5,800
1.0571870144


Total = 6,131.6846836128


Total = 6,131.68
 

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Answer:

The balance of Kylee's account after all the interest is paid for the year is $6131.76.

Step-by-step explanation:

Formula for compounded quarterly

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Where P is the principle , r is the rate of interest in the decimal form and t is the time in years.

As given

The APR of Kylee's savings account is 5.6%, and interest is compounded quarterly. If the principal in Kylee's savings account was $5800 for an entire year.

Here

P = $5800

5.6 % is written in the decimal form.

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= 0.056

r = 0.056

t = 1 year

put in the formula

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Amount = $6131.76

Therefore the balance of Kylee's account after all the interest is paid for the year is $6131.76.