rodrigo has $5,617 in an account that earns 10% interest compounded annually. to the nearest cent, how much…

rodrigo has $5,617 in an account that earns 10% interest compounded annually. to the nearest cent, how much interest will he earn 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.

rodrigo has $5,617 in an account that earns 10% interest compounded annually. to the nearest cent, how much interest will he earn 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.

Answer

Explicación:

Paso1: Identificar valores

Dado que $p = 5617$, $r=0.1$ (ya que $10%= 0.1$) y $t = 2$.

Paso2: Calcular el saldo final

Usamos la fórmula $B=p(1 + r)^{t}$. Sustituimos los valores: $B = 5617\times(1 + 0.1)^{2}=5617\times(1.1)^{2}=5617\times1.21 = 6896.57$.

Paso3: Calcular el interés

El interés $I$ es $I=B - p$. Entonces $I=6896.57-5617 = 1279.57$.

Respuesta:

$1279.57$