Polly has 10$ in an account that earns 5% interest compounded annually. To the nearest cent, how much will she have in 2 years? Use the formula B=p(1+r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years. $____
Q. Polly has 10$ in an account that earns 5% interest compounded annually. To the nearest cent, how much will she have in 2 years? Use the formula B=p(1+r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years. $____
Plug Values into Formula: Now, plug the values into the compound interest formulaB=p(1+r)t.p=$10, r=0.05, and t=2 years.B=10(1+0.05)2
Calculate Inside Parentheses: Calculate the value inside the parentheses first. 1+0.05=1.05
Raise to Power: Now raise 1.05 to the power of 2. (1.05)2=1.1025
Multiply Principal Amount: Multiply the principal amount by the result.B=10×1.1025B=$(11.025)
Round Final Balance: Round the final balance to the nearest cent.$11.025 rounds to $11.03.