Given that population of the city is 280000.
Rate of growth of the population = r = 4.5% = 0.045
We have to find population after 15 years so time
t = 15
We can use growth formula to find the required population which is given by :
[tex] A=P(1+r)^t [/tex]
Where P= starting population = 280000
r= rate of growth = 0.45
t= time = 15
now plug these values into above formula.
[tex] A=280000(1+0.45)^{15} [/tex]
[tex] A=280000(1.45)^{15} [/tex]
[tex] A=280000(263.34194176) [/tex]
[tex] A=73735743.6928 [/tex]
Hence population after 15 years will be approx 73735743.