Companies a and b each have 100 employees. if company a increases its workforce by 31 employees each month and company b increases its workforce by an average of 10% each month, when will company b have more employees than company a? 9. finance employees a and b each initially earn $18.00 per hour. if employ

The complete question in the attached figure

we know that
When comparing raises, a fixed dollar increase can be modeled by a linear function and a fixed percent increase can be modeled by an exponential function

Part 1) 
Let 
 t -------> represents the number of elapsed months
S(t)---->  the functions that represent the monthly workforce

company A
Sa(t)=100+31*t

company B
Sa(t)=100*(1.10)^t

using a graph tool
see the attached figure N 2

the point of intersection both graphs are 
(0,100) and (21,759)

t=21 months
S=759 employees

therefore

the answer part 1)
company B will have more employees than company A as of month 22

Part 2)
Let 
 t -------> represents the number of elapsed years
S(t)---->  the functions that represent the yearly salaries

Employee A
Sa(t)=18+1.5*t

Employee B
Sa(t)=18*(1.04)^t

using a graph tool
see the attached figure N 3

the point of intersection both graphs are 
(0,18) and (34.58,69.87)

therefore

the answer part 2)
employee B will earn more than employee A as of year 35

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