An animal reserve 24,000 elk.The population is increasing at a rate of 13 percent per year.How long will it take for the population to reach 72,000?If necessary, round your answer to the nearest tenth.
Final Amount = Initial Amount · (1 + yearly perecentage)number of years
72000 = 24000(1 + 0.13)n
72000 = 24000(1.13)n simplify
3 = 1.13n divide both sides by 24000
log(3) = log(1.13n) find the log of both sides
log(3) = n·log(1.13) property of logs
log(3) / log(1.13) = n divide both sides by log(1.13)
n = 9.0 years calculator time!