We have been given that a factory purchased a 3D printer in 2010. The value of the printer is modeled by the function [tex]f(x)= 30(0.93)^x[/tex], where x is the number of years since 2010. We are asked to find the value of printer after 10 years.
To find the value of printer after 10 years, we will substitute [tex]x=10[/tex] in our given equation.
[tex]f(10)= 30(0.93)^{10}[/tex]
[tex]f(10)= 30(0.4839823071792932)[/tex]
[tex]f(10)= 14.51946921[/tex]
Upon rounding to nearest hundredth, we will get:
[tex]f(10)\approx 14.52[/tex]
Therefore, the value of the printer after 10 years would be approximately 14.52.
