Use formulas from your class notes to answer the following q

Use formulas from your class notes to answer the following questions. A town\'s population grows at the rate of 16% per year. If this growth rate remains constant, how long will it take the population to double? It will take years.

Solution

Dear Student Thank you for using Chegg !! Given that population of town increases by 16% each year Let initial population of town be P0 Let population after any time t be P Therefore as per question P = P0(1.16)^t Now for population to double P = 2P0 => 2P0 = P0(1.16)^t 2 = 1.16^t Taking natural log both sides ln(2) = t* ln(1.16) 4.670174 = t t = 4.67 years