The deer population will reach 309 in approximately 6 yrs
Year 1. 165•1.12=184.8
Year 2. 184.8•1.12=206.976
Year 3. 206.976•1.12=231.813
Year 4. 231.813•1.12=259.63
Year 5. 259.63•1.12=290.785
Year 6. 290.785•1.12=325.679
Therefore it will take 6 years for the deer’s population to reach 300