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 y $t$ es el tiempo en años. Aquí, $P = 11430$, $r=0.05$ y $t = 2$.

Step2: Sustituir valores en la fórmula

$A=11430\times(1 + 0.05)^2$. Primero, calculamos $(1 + 0.05)^2=(1.05)^2 = 1.1025$. Luego, $A = 11430\times1.1025$.

Step3: Calcular el valor final

$A=11430\times1.1025=12591.575$. Redondeando a la centésima más cercana, $A = 12591.58$.

Answer:

$12591.58$