Answer:
$1,041.69
Explanation:
Compound interest formula:
![A=P(1+(r)/(n))^{nt](https://img.qammunity.org/2023/formulas/mathematics/high-school/laq8got5o0ex7dyzcfsujwx34n6rj2q12d.png)
A = amount (future value ($))
P = principal (orignal amount - $700)
R = rate (written as a decimal - 5%/100= 0.05)
N = compound (quarterly - 4) 4 quarters in 1 yr.
T = number of years (8)
![A=P(1+(r)/(n))^{nt](https://img.qammunity.org/2023/formulas/mathematics/high-school/laq8got5o0ex7dyzcfsujwx34n6rj2q12d.png)
![A=P(1+(r)/(n))^(nt)\\\\A=700(1+(0.05)/(4))^(4*8) < == start\ from\ the\ parenthesis\ and\ divide\ first\\\\A=700(1+0.0125)^(4*8) < == add\ the\ \#s\ in\ the\ parenthesis\\\\A=700(1.0125)^(4*8) < == multiply\ the\ exponents\\\\A=700(1.0125)^(32) < ==multiply\\\\A=700(1.488131) < ==multiply\\\\A=1041.691\\\\A=$1,041.69](https://img.qammunity.org/2023/formulas/mathematics/high-school/12uooift2ittxeah4f7yp4rl7jrxlhncm5.png)
Hope this helps!