Question 61857
{{{500 = 2*10^4*(.75)^t}}}
{{{.75^t = 5*10^2 /(2*10^4)}}}
{{{.75^t = 25*10^-3}}}
{{{t*log(.75) = log(25) + (-3)}}}
{{{-.125t = 1.398 - 3}}}
{{{.125t = 1.602}}}
{{{t = 12.82}}}
The car will be worth $500 in about 12 years 8 months