A city was founded at the beginning of 1990 with a population of 55,000, and since then, the growth in its population has been e
xponential, increasing at x percent per year. If the city's population at the beginning of 2000 was 108,193, at what percent per year to the nearest percent is the city's population increasing?
You can solve this analytically to get .. 55000*(1 +x/100)^10 = 108193 .. (1 +x/100)^10 = 108193/55000 .. 1 +x/100 = (108193/55000)^(1/10) .. x = 100*((108193/55000)^(1/10) -1) ≈ 7.00
but I find it just as fast to have a graphing calculator do it.