question archive In 2018, it was predicted that the population of Sudbury, Ontario would increase from its current population of 165 000 to a population of 180 000 people by 2048
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In 2018, it was predicted that the population of Sudbury, Ontario would increase from its current population of 165 000 to a population of 180 000 people by 2048. Assuming this models exponential growth, at what rate is Sudbury's population growing?
Answer:
0.2905% per year.
Step-by-step explanation
The rate at which the Sudbury's population is growing is given by:
A = P * (r)t
where A is final amount = 180000, P is initial amount = 165000, t is time taken = 30 years (2048-2018)
180000 = 165000 * (r)30
therefore, r is given as:
180000 = 165000 * (r)30
(r)30 = 12/11
r = 30?12/11??
= 1.002904
rate = ( 1.002904-1) *100
= 0.2905% per year.