## Algebra 1

$500*(1+(.06/4))^{4*x}$ $600*(1+.05)^x$ $500*(1+(.06/4))^{4*x}$ =$600*(1+.05)^x$ $500*(1+(.06/4))^{4*x}/500$ =$600*(1+.05)^x/500$ $(1+(.06/4))^{4*x} =1.2*(1+.05)^x$ $1.015^{4*x} =1.2*(1.05)^x$ $1.015^{4*x}/(1.05)^x =1.2*(1.05)^x/(1.05)^x$ $1.015^{4*x}/(1.05)^x = 1.2$ (A calculator was used to determine the value of x.) $x=16.938$