Answer:
![A=\$14,555.17](https://img.qammunity.org/2021/formulas/mathematics/middle-school/gjaduwqct946b4rl0e26lwjwi79l9s1h64.png)
Explanation:
we know that
The compound interest formula is equal to
![A=P(1+(r)/(n))^(nt)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/qsdew1qblb5nrvw0u09d20h4jv0t1cxr0s.png)
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
![t=10\ years\\ P=\$8,000\\ r=6\%=6/100=0.06\\n=12](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mkgos70fj4cbmwvjjrea9a67qcu90vvck5.png)
substitute in the formula above
![A=8,000(1+(0.06)/(12))^(12*10) \\A=8,000(1.005)^(120)\\A=\$14,555.17](https://img.qammunity.org/2021/formulas/mathematics/middle-school/pdnulifcllz7hkkk37kx5pzqic10zcvmue.png)