Answer
$A=\$6,202.50$
Work Step by Step
RECALL:
The formula for the future value $A$ is:
$A=P(1+rt)$
where
P = principal amount borrowed
r = interest rate per year
t = time in years
Use the formula above to obtain:
$A=\$6000(1+4.5\%\cdot \frac{9}{12})
\\A=\$6000(1+0.045\cdot \frac{3}{4})
\\A=\$6000(1+0.03375)
\\A=\$6000(1.03375)
\\A=\$6,202.50$
