Answer:
$3,698.50
Explanation:
When making a compound interest rate this means that the interests generated are taken into consideration when creating new interests in the next period, now there are 4 quarterly periods on a year, this means there are 88 periods in the 22 years that the account will grow, you just have to do the math:
![A=P(1+(r)/(n))^(nt)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/44vs2zpmywawbh2b7k4ss2gheb6z49ybcd.png)
Where n is the number of cycles per year and nt is the number of cycles over the years.
We just have to put the values into the formula:
![A=500(1+(.092)/(4))^(22*4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/uuaov55stj9u4re0hi7szeqrho3oya56xx.png)
![A=500(1+(.092)/(4))^(88)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4ahlqvskxstfux654dt812cyv93tenmdjf.png)
![A=$3,698.50](https://img.qammunity.org/2020/formulas/mathematics/middle-school/l4t735jtm4j7vrj4jszuv08zoc76cgx7uz.png)