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