kevin started his new job with a salaryof $26,550. every year, he recieves a 3.1% increase in his salary. write and use a continuous exponential growth to find his salary after 20 years?
its $48892.00

Respuesta :

Answer:

His salary after 20 years is $48892

Step-by-step explanation:

Kevin started his new job with a salary of $26,550.

We are also given that every year, he receives a 3.1% increase in his salary

So, rate of increase = 3.1%

Formula : [tex]y(t)=y_0(1+r)^t[/tex]

Where y(t)= Amount after t years

[tex]y_0[/tex] = initial amount = 26550

r = rate of increase in decimals = [tex]\frac{3.1}{100}[/tex]

t = time =20

we are supposed to find his salary after 20 years

Substitute the values in the formula :

Salary after 20 years = [tex]26500(1+\frac{3.1}{100})^{20}=48892.00[/tex]

Hence His salary after 20 years is $48892