Answer:
$5764.14
Step-by-step explanation:
The future value formula is useful here.
FV = P(1 +r/n)^(nt)
where P is the principal invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.
FV = $5000(1 +.0475/12)^(12·3) = $5764.14
The account will be worth $5764.14 after 3 years.
