City $A$ is a modest tourist town, which means that its population undergoes a seasonal variation. In January, it dips down to 4,000 people. By July, with the warm weather, its population climbs to around 5,000 people. This trend repeats every year. City $B$, on the other hand, is a small town not far from City $A$. Its population has been growing extremely rapidly ever since the arrival of several large industrial plants. There were only 3,500 people living in City $B$ on January 1, 2004, but its population has been growing by $10 \%$ every year thereafter. At how many different points in time will the population of City $A$ equal the population of City $B$ ?

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The Answer of City $A$ is a modest tourist town, which means that its population undergoes a seasonal variation. In January, it dips down to 4,000 people. By July, with the warm weather, its population climbs to around 5,000 people. This trend repeats every year. City $B$, on the other hand, is a small town not far from City $A$. Its population has been growing extremely rapidly ever since the arrival of several large industrial plants. There were only 3,500 people living in City $B$ on January 1, 2004, but its population has been growing by $10 \%$ every year thereafter. At how many different points in time will the population of City $A$ equal the population of City $B$ ?

City AAA Is a Modest Tourist Town, Which Means That Its Population

City $A$ Is a Modest Tourist Town, Which Means That Its Population