Question

Maria invested $2,000 in an account that earns 4.5% interest compounded annually the formula for compounded interest isA(t)=P(1+i)/\t. How much did Maria have in the account after 5 years. A.12,816.47 B.10,450.00 C.2,450.00 D.2,492.36

Answer 1

In the formula, P is the initial amount, i is the rate, and t is the time that has passed.  Simply plug in the values you know:

$A(5) = 2000(1 + .045)^5 \\ \\ A(5) = 2000(1 .045)^5 \\ \\ A(5) = 2492.36387531 \\ \\ A(5) \approx 2492.36$

Rounded to the nearest cent, Maria had $2492.36 in her account after 5 years (D).