Monomials
-15a3bc + 6a3bc
-9a3bc
(xy3)(xy)3
x4y6
75,000,000
7.5 x 107
The cost of tuition at a college is 12,000 and is increasing at a rate of 6% each year. Use an exponential function to find the tuition cost after 4 years.
$12,072.31 for tuition
Graph: y = 2x
D: all reall #'s
R: y > 0
Y inter: (0,1)
Asymptote: y=0
1/4(8mn)(-6m2n2)
-12m3n3
(a3)(-a2b)4
-a19b4
(3.4 x 102) + (1.1 x 103)
1.44 x 103
The population of a town is decreasing at a rate of 1% per year. in 2000 there were 1300 people. Use an exponential function to find the population in 2008.
1200 people
Graph: y = 3x - 1
D: all reall #'s
R: y > -1
Y inter: (0,0)
Asymptote: y=-1
-15x6y5z / -3x5y3
5xy2z
(3x3y)4 - (7x5y)2 (x2y2)
32x12y4
(4.2 x 10-4) - (6.8 x 10-5)
3.52 x 10-4
A car bought for $13,000 depreciates at %15 per year. Use an exponential function to find the value of the car after 5 years.
$5768.17
Graph: y= (1/3)x + 4
D: all reall #'s
R: y > 4
Y inter: (0,5)
Asymptote: y=4
(2m4n2/4m2n)3
m6n3 / 8
(4x3y6)-2 + (2x2y4)-3
3/16x6y12
(1.2 x 10-5) / (5 x 10-6)
2.4 x 100
In 1985, there were 285 cell phone subscribers in Springfield. The number of subscribers increased by 75% per year after 1985. Find the number of subscribers in 2008.
110,845,988 subscribers
Graph: y = 5(1/2)x -3
D: all reall #'s
R: y > -3
Y inter: (0,2)
Asymptote: y=-3
(8r5s2)(3r3s4) /12r7s2 + 9r7s2
5rs4/7
(6bc3)(3b5c2) / (5b5c2)(2b3c6)
9/5b2c3
The combined volume of all the tanks at an aquarium is 1.25 x 106. The aquarium plans to build a new dolphin tank with a volume of 250,000. What will be the new total volume of all the tanks?
1.5 x 106
An invest made in 2009 for $8200 loses value at a rate of 2% per year. Use an exponential function to find the value of the investment today.
$6836.73
Graph: y = 1/4 * 2x
D: all reall #'s
R: y > 0
Y inter: (0,.25)
Asymptote: y=0