please help with the following questions:

5. A city believes its maximum population capacity to be 30,000. If the city currently has 10,000 peOple, and the population grows 4% every year, how long will it be until the city reaches their capacity? 0 51.992 years 0 14.342 years 0 27.465 years 0 39.880 years 0 6.488 years 6. The halflife of a 1000 gram substance is 50 years. If it decays according to an exponential growth model, the amount of time it will take for the substance to be only 100 g is 0 Between 155 and 160 years 0 Between 165 and 170 years O Between 150 and 155 years 0 Between 160 and 165 years - - - dP _ 7. A pepulation P grows according to the equation W kP. If the population of P triples every 44 years, What is the value of k? 0 k : 0.035 O k = 0.031 O k = 0.042 O k = 0.044 O k = 0.025 8. A certain car depreciates in value at a continuous rate of 1.9%. How many years does it take for the car's value to depreciate to % of its original value? 0 39.471 years 0 13.157 years 0 72.962 years 0 4.938 years 0 15.141 years