At the time of her grandson's birth, a grandmother deposits $3000 in an account that pays 5% compounded monthly. What will be the value of the account at the child's twentyfirst birthday, assuming that no other deposits or withdrawals are made during this period? Click the icon to view some finance formulas. The value of the account will be $ (Round to the nearest dollar as needed.) In the provided formulas, A is the balance in the account after t years, P is the principal investment, r is the annual interest rate in decimal form, n is the number of compounding periods per year, and Y is the investment's effective annual yield in decimal form. A=P(1+nr)ntP=(1+nr)ntAA=PertY=(1+nr)n1