The crime

The crime rate of a certain city is increasing by exactly 7% each year. If there were 600 crimes in the year 1990 and the crime rate remains constant each year, determine the approximate number of crimes in the year 2025.

Result

n =  6406

Solution:

n1=600 t=20251990=35  q=7%=1+7100=1.07  n=n1 qt=600 1.07356405.94896406n_{1}=600 \ \\ t=2025-1990=35 \ \\ \ \\ q=7 \%=1 + \dfrac{ 7 }{ 100 }=1.07 \ \\ \ \\ n=n_{1} \cdot \ q^t=600 \cdot \ 1.07^{35} \doteq 6405.9489 \doteq 6406



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