Andy has $100 in an account. The interest rate is 6% compounded annually.To the nearest cent, how much will he have in 2 years?Use the formula B=p(1+r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.$□
Q. Andy has $100 in an account. The interest rate is 6% compounded annually.To the nearest cent, how much will he have in 2 years?Use the formula B=p(1+r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.$□
Identify values: question_prompt: How much will Andy have in his account after 2 years with an annual compound interest rate of 6%?
Plug values into formula: Step 1: Identify the values for the formula B=p(1+r)t. Here, p=$100, r=6% or 0.06 as a decimal, and t=2 years.
Calculate (1+0.06): Step 2: Plug the values into the formula. So, B=100(1+0.06)2.
Raise to power: Step 3: Calculate (1+0.06) which is 1.06.
Multiply principal amount: Step 4: Now raise 1.06 to the power of 2. So, 1.062 is 1.1236.
Multiply principal amount: Step 4: Now raise 1.06 to the power of 2. So, 1.062 is 1.1236. Step 5: Multiply the principal amount by the result from step 4. So, 100×1.1236 is 112.36.