Neco Model Questions Vol1 2019 Geography Question 4

A town had a population of 45 000 in the year 2000. From 2000 to 2009 the population grew at 2.5 % per year (compounded). Beginning in 2010 a net migration loss of 1 % per year reduced the effective growth rate to 1.5 % per year. In 2020 a new housing scheme added 5 000 houses, each intended for 5 persons. In 2000 the town possessed 8 000 houses; each year 2 % of the existing houses become uninhabitable and are removed.\n\n(a) Estimate the town's population in 2025.\n(b) Determine the number of houses available in 2025, taking into account the yearly 2 % loss and the 2020 addition.\n(c) Assuming each house can accommodate 5 persons, calculate the housing deficit (or surplus) in 2025 and state whether the town will have enough houses for its population.