Tiana has 70$ in an account. The interest rate is 5% compounded annually. To the nearest cent, how much will she have in 1 year? 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. $____
Q. Tiana has 70$ in an account. The interest rate is 5% compounded annually. To the nearest cent, how much will she have in 1 year? 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. $____
Convert to decimal: Step 1: Convert the interest rate to a decimal. 5% as a decimal is 0.05.Calculation: 1005=0.05
Apply formula for balance: Step 2: Apply the formula B=p(1+r)t to find the balance after 1 year.Substitute p=70, r=0.05, and t=1 into the formula.Calculation: B=70(1+0.05)1=70(1.05)1=70×1.05
Calculate final amount: Step 3: Calculate the final amount.70×1.05=73.50This is the amount Tiana will have after 1 year, rounded to the nearest cent.