average health premiums have been increasing at a rate of 5% per year. if an average familys premiums are…

average health premiums have been increasing at a rate of 5% per year. if an average familys premiums are $11,430 this year, what will they be in 2 years? if necessary, round your answer to the nearest cent. $

average health premiums have been increasing at a rate of 5% per year. if an average familys premiums are $11,430 this year, what will they be in 2 years? if necessary, round your answer to the nearest cent. $

Answer

Explanation:

Step1: Identificar la fórmula de crecimiento

Utilizamos la fórmula $A = P(1 + r)^t$, donde $P$ es el valor inicial, $r$ es la tasa de crecimiento (en decimal) y $t$ es el tiempo en años.

Step2: Convertir la tasa de porcentaje a decimal

$r=5% = 0.05$, $P = 11430$ y $t = 2$.

Step3: Calcular el valor futuro

$A=11430\times(1 + 0.05)^2=11430\times(1.05)^2=11430\times1.1025 = 12591.575$.

Step4: Redondear el resultado

Redondeamos a los centavos más cercanos. $A\approx12591.58$.

Answer:

$12591.58$