The value of the painting after 5 years is $44320.36
Exponential function
The formula for calculating the exponential function is expressed as:
[tex]f(x)=ab^x[/tex]
Given the following parameters
a = 3800
b = 1+r = 1 + 0.026 = 1.026
Substitute the given parameters into the formula
[tex]f(x) = 3800(1.026)^5\\f(x) = 3800(1.13693)\\f(x)=4,320.36[/tex]
Hence the value of the painting after 5 years is $44320.36
Learn more on exponential function here: https://brainly.com/question/12940982
