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Week 4 Learning Team Assignment

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Week 4 Learning Team Assignment
3.1-#92,#94
3.2-#64
3.3-#94,#96
3.4-#80,#82,#94
3.5-#34,#38
3.6-#16,#26
3.1
#92.
a) C=2.85n+30.52
The average cost of dental services in 30.52 billion and there is a 2.85% increase each year.
b) C=2.85n+30.52
C-30.52=2.85n
C-30.52=n
2.85
The total national cost of dental services minus the average cost of dental services at 30.52
billion, divided by the yearly increase at 2.85%, equals the number of years since 1990.
c) Coordinates below are found when x=0 through 20
(0,30.52) (1,33.37)(2,36.22)(3,39.07)(4,41.92)(5,44.77)(6,47.62)(7,50.47)(8,53.32)
(9,56.17) (10,59.02)(11,61.87)(12,64.72)(13,67.57)(14,70.42)(15,73.27)(16,76.12)
(17,78.97)
(18,81.52)(19,84.67)(20,87.52)
d) 100=2.85n+30.52
69.48=2.85n
24.4=n

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1990+24=2014
In the year 2014 dental services will reach 100 billion.
#94.
a) D=600-40(5)=400
D=600-40(6)=360
D=600-40(7)=320
D=600-40(8)=280
D=600-40(9)=240
D=600-40(20)=200
She will sell less if she raises her price.
b) Her sales will decrease by 40 cans for every dollar she raises to the price.
c)
3.2
#64.
At 64 years they will receive $8,000 as an annual social security benefit.
The slope for (62,7000) and (64,8000) is 500.
The slope for (64,8000) and (67,10000) is 2000/3.
The slope for (67,10000) and (70,12400) is 800.
Since $11,600 is between 10,000 and 12,400. I will use 800 as the slope
12400=800(70)+b
12400=56000+b
b=43600
11600=800x+43600
55200=800x
X=69
So at the age 69 the annual social security benefit will be $11,600.
People hold out to retire until 70 because they will receive more from social security.

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