Susan is researching the population growth of a city. She proposes that x, the number of people in the city, t years after 2017 is given by x=250,000e^(0.012t) A.population in 2017 B.population in 2020 C.During which year would the population have doubled
A. t=0 ; x=250,000 B. 2020, so t=3. plug in to equation > x=250,000e^(0.012)3 = 259,163 (people so cannot round up) C. Population to double so 500,000 = 250,000e^(0.012)t -> 1/0.012(ln2) = t t= 57.7 years ; 2017 + 57 = 2074 when population doubles
JG
Related Maths A Level answers
All answers ▸Given that f(x) = 1/x - sqrt(x) + 3. Find f'(1).
Find the gradient at the point (0, ln 2) on the curve with equation e^2y = 5 − e^−x . [4]
Given that the increase in the volume of a cube is given by dV/dt = t^3 + 5 (cm^3/s). The volume of the cube is initially at 5 cm^3. Find the volume of the cube at time t = 4.
Prove: (1-cos(2A))/sin(2A) = tan(A)