Answer:
The approximate number of years is 10
The graph in the attached figure
Step-by-step explanation:
Let
f(x) the value of an antique plate
x is the number of yeras
we know that
The system of equations that represented the problem is equal to
[tex]f(x)=18(1.05)^{x}[/tex] ----> equation A
[tex]f(x)=30[/tex] ----> equation B
Solve the system by graphing
The solution of the system of equations is the intersection point both graphs
using a graphing tool
The solution is the point (10.47,30)
see the attached figure
therefore
The approximate number of years is 10
