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The number of patrol officers needed on staff depends on the crime rate of the county, which is calculated based on the number of crimes per year. At a 3% crime rate, the county hires 200 officers per 10,000 people in the population. For every 0.1% increase in crime rate, an additional 5 officers are hired per 10,000 people in the population. For every 0.1% below 3% crime rate, 3 fewer officers are hired. • 3% sign-on bonus is offered for officers with no experience when there is a 5% to 10% shortage in the number of officers employed. • A5% sign-on bonus is offered for officers with no experience when there is an 11% or higher shortage in the number of officers employed. • A6% sign-on bonus is offered for officers with at least 3 years of experience when there is a 5% to 10% shortage in the number of officers employed. • A 10% sign-on bonus is offered for officers with at least 3 years of experience when there is an 11% or higher shortage in the number of officers employed. County Population Yearly Total Crime Number of Officers Currently Cases Rate Employed Maple 761,000 19,025 2.5% 14,000 Willow 298,000 22,350 7.5% 12,600 Oak 1,192,000 41,720 3.5% 26,500 Pine 530,000 29,150 5.5% 14,600 Pine County was able to increase its number of employed officers to 16,600 last year. If the average salary of an cer in Pine County is $60,000 per year, then approximately how much additional funds is needed to hire the litional officers required based on the county's crime rate?

The number of patrol officers needed on staff depends on the crime rate of the county, which is calculated based on the number of crimes per year. At a 3% crime rate, the county hires 200 officers per 10,000 people in the population. For every 0.1% increase in crime rate, an additional 5 officers are hired per 10,000 people in the population. For every 0.1% below 3% crime rate, 3 fewer officers are hired. • 3% sign-on bonus is offered for officers with no experience when there is a 5% to 10% shortage in the number of officers employed. • A5% sign-on bonus is offered for officers with no experience when there is an 11% or higher shortage in the number of officers employed. • A6% sign-on bonus is offered for officers with at least 3 years of experience when there is a 5% to 10% shortage in the number of officers employed. • A 10% sign-on bonus is offered for officers with at least 3 years of experience when there is an 11% or higher shortage in the number of officers employed. County Population Yearly Total Crime Number of Officers Currently Cases Rate Employed Maple 761,000 19,025 2.5% 14,000 Willow 298,000 22,350 7.5% 12,600 Oak 1,192,000 41,720 3.5% 26,500 Pine 530,000 29,150 5.5% 14,600 Pine County was able to increase its number of employed officers to 16,600 last year. If the average salary of an cer in Pine County is $60,000 per year, then approximately how much additional funds is needed to hire the litional officers required based on the county's crime rate?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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The number of patrol officers needed on staff depends on the crime rate of the county, which is calculated based on the number of crimes per year. At a 3% crime rate, the county hires 200 officers per 10,000 people in the population. For every 0.1% increase in crime rate, an additional 5 officers are hired per 10,000 people in the population. For every 0.1% below 3% crime rate, 3 fewer officers are hired. • A3% sign-on bonus is offered for officers with no experience when there is a 5% to 10% shortage in the number of officers employed. • A 5% sign-on bonus is offered for officers with no experience when there is an 11% or higher shortage in the number of officers employed. • A6% sign-on bonus is offered for officers with at least 3 years of experience when there is a 5% to 10% shortage in the number of officers employed. • A 10% sign-on bonus is offered for officers with at least 3 years of experience when there is an 11% or higher shortage in the number of officers employed. County Population Yearly Total Crime Number of Officers Currently Cases Rate Employed Мaple 761,000 19,025 2.5% 14,000 Willow 298,000 22,350 7.5% 12,600 Oak 1,192,000 41,720 3.5% 26,500 Pine 530,000 29,150 5.5% 14,600 43. Pine County was able to increase its number of employed officers to 16,60o last year. If the average salary of an officer in Pine County is $60,000 per year, then approximately how much additional funds is needed to hire the additional officers required based on the county's crime rate?
Transcribed Image Text:The number of patrol officers needed on staff depends on the crime rate of the county, which is calculated based on the number of crimes per year. At a 3% crime rate, the county hires 200 officers per 10,000 people in the population. For every 0.1% increase in crime rate, an additional 5 officers are hired per 10,000 people in the population. For every 0.1% below 3% crime rate, 3 fewer officers are hired. • A3% sign-on bonus is offered for officers with no experience when there is a 5% to 10% shortage in the number of officers employed. • A 5% sign-on bonus is offered for officers with no experience when there is an 11% or higher shortage in the number of officers employed. • A6% sign-on bonus is offered for officers with at least 3 years of experience when there is a 5% to 10% shortage in the number of officers employed. • A 10% sign-on bonus is offered for officers with at least 3 years of experience when there is an 11% or higher shortage in the number of officers employed. County Population Yearly Total Crime Number of Officers Currently Cases Rate Employed Мaple 761,000 19,025 2.5% 14,000 Willow 298,000 22,350 7.5% 12,600 Oak 1,192,000 41,720 3.5% 26,500 Pine 530,000 29,150 5.5% 14,600 43. Pine County was able to increase its number of employed officers to 16,60o last year. If the average salary of an officer in Pine County is $60,000 per year, then approximately how much additional funds is needed to hire the additional officers required based on the county's crime rate?
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