each registered nurse at a certain hospital is first given a

each registered nurse at a certain hospital is first given a 7% cost of living raise and then a $3800 merit raise. write a function that transforms each old salary x into a new salayr N(x). does the order in which these raises are given make a difference? explain

Solution

solution-

suppose old salary be x

now

firstly 7% living raise which is 0.07x and then $3800 merit raise

so,

total new salary suppose y

hence,

y=x+0.07x+3800

y-1.07x+3800

yes, order will create the difference

suppose firstly merit raise then salary upto this stage (x+3800) and then 7% hike which is (x+3800)0.07

new salary in this order = (x+3800)+(x+3800)0.07

y\'=1.07(x+3800)

which is different from previous