Answer:
[tex]f(x)=79[/tex]
Step-by-step explanation:
Given: [tex]f(x)=40(.97)^\bold{x} +78[/tex]
Plug in the function [tex]f(x)=110[/tex] for [tex]x[/tex]; solve:
[tex]f(x)=40(.97)^\bold{x} +78[/tex]
[tex]40(.97)^\bold{110} +78[/tex]
Exponents:
[tex]0.97^{110}=0.03506[/tex]
[tex]=40\cdot \:0.03506 ^\bold{110} +78[/tex]
[tex]=1.40265 + 78[/tex]
[tex]= 79.40265[/tex]
Therefore, [tex]\bold{f(x)=79.40265}[/tex].
79.40256 in the nearest tenths is 79 Learn how to: https://brainly.com/question/192096
