You Deposit $\$$ 5000 in an Account with an Annual Interest Rate of Interest

Multiple Choice

You deposit $\$$ 5000 in an account with an annual interest rate of change r (in decimal form) compounded monthly. At the end of 5 years, the balance is $A = 5000 \left( 1 + \frac { r } { 12 } \right) ^ { 60 }$ . Find the rates of change of A with respect to r when $r = 0.08$ .

A) 7449.23
B) 443,993.75
C) 620.77
D) 36999.48
E) 36,754.45