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The population of a town, \(P\), is growing exponentially. The population can be modelled by the function \(P(t) = 25000 \times 1.035^t\), where \(t\) is the number of years after the 1st of January 2020.
Write down the population of the town on the 1st of January 2020.
Calculate the population of the town after 5 years, giving your answer to the nearest whole number.
Determine the number of years it will take for the population to double. Give your answer to the nearest year.
Another town's population is modelled by the function \(Q(t) = 40000 \times 1.018^t\). After how many years will the population of both towns be equal?
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