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Ernesto has 2020 $\$ in an account. The interest rate is 10%10\% compounded annually. To the nearest cent, how much interest will he earn 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. $\$____

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Q. Ernesto has 2020 $\$ in an account. The interest rate is 10%10\% compounded annually. To the nearest cent, how much interest will he earn 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. 10%10\% as a decimal is 0.100.10. Calculation: 10%/100=0.1010\% / 100 = 0.10
  2. Apply formula: Step 22: Apply the formula B=p(1+r)tB = p(1 + r)^t to find the balance after 11 year.p=$20p = \$20, r=0.10r = 0.10, t=1t = 1. Calculation: B=20(1+0.10)1=20(1.10)1=20×1.10=$22B = 20(1 + 0.10)^1 = 20(1.10)^1 = 20 \times 1.10 = \$22

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