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MTH 208 week 5 LT assignment

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7.1)
#92
x+y=33,000 .04x+.0225y=970
y=33,000-x
.04x+.0225(33,000-x)=970
.04x+742.5-.0225x=970
.0175x=227.5
x=13,000
y=33,000-13,000
y=20,000
x= 13,000 y= 20,000
#100
3x + 2y = 824 x = 2y
3(2y) + 2y = 824
6y+ 2y = 824
8y = 824
y = 103
x = 2(103)
x= 206
206 adult tickets and 103 student tickets
#104
B=.20(100,000-T)
T=.40(100,000-B)
A) T = 35,000
B = 15,000
B) B = .20{100,000-.40(100,000-B)}
B = .20{100,000-40,000+.40B}

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B = .20(60,000+.40B)
B = 12,000+.08B
.92B = 12,000
B = 13,043
T = .40(100,000-13,043)
T = .40(86,957)
T = 34,783
T = 34,783 B = 13,043
#106
S = 5,000 + 200x
D = 9,500 – 100x
S: y= 5,000 + 200(5)
y = 5,000 + 1000
y = 6,000
(5,6000)
y = 5,000 + 200(10)
y = 5,000 + 2000
y = 7,000
(10,7000)
D: y = 9,500 – 100(5)
y = 9,500 – 500
y = 9,000
(5,9000)
y = 9,500 – 100(10)
y = 9,500 – 1000
y = 8,500
(10,8500)
A) Let the y axis show the price of the cds in dollars and the x axis show the amount
of cds in demand in the thousands.

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