Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Tiana has 7070 $\$ in an account. The interest rate is 5%5\% compounded annually. To the nearest cent, how much will she have in 11 year? Use the formula B=p(1+r)tB = p(1 + r)^t, where BB is the balance (final amount), pp is the principal (starting amount), rr is the interest rate expressed as a decimal, and tt is the time in years. $\$____

Full solution

Q. Tiana has 7070 $\$ in an account. The interest rate is 5%5\% compounded annually. To the nearest cent, how much will she have in 11 year? Use the formula B=p(1+r)tB = p(1 + r)^t, where BB is the balance (final amount), pp is the principal (starting amount), rr is the interest rate expressed as a decimal, and tt is the time in years. $\$____
  1. Convert to decimal: Step 11: Convert the interest rate to a decimal. \newline5%5\% as a decimal is 0.050.05.\newlineCalculation: 5100=0.05\frac{5}{100} = 0.05
  2. Apply formula for balance: Step 22: Apply the formula B=p(1+r)tB = p(1 + r)^t to find the balance after 11 year.\newlineSubstitute p=70p = 70, r=0.05r = 0.05, and t=1t = 1 into the formula.\newlineCalculation: B=70(1+0.05)1=70(1.05)1=70×1.05B = 70(1 + 0.05)^1 = 70(1.05)^1 = 70 \times 1.05
  3. Calculate final amount: Step 33: Calculate the final amount.\newline70×1.05=73.5070 \times 1.05 = 73.50\newlineThis is the amount Tiana will have after 11 year, rounded to the nearest cent.

More problems from Compound interest