Identify the intial amount a and the growth factor b in each exponential function g(x)=20 * 2x
What is a=20
growth factor=2
200
20 or two to the zero
What is 0
200
write this number in scientific notation 65,400,000
What is 6.54 x 10 to the 7
200
11 to the 4 x11 to the 3
What is 1
200
2,-6,18,-54
What is x(-3)
200
Find the balance in each account $20,000 deposit earning 3.5% compound quarterly after 10 years
What is $28,338
300
4-3 or four to the negative third
What is 1/64 to the third
300
write in scientific notation 0.00321
What is 3.21 x 10 to the -3
300
5x * 2y(to the 4) * 3x(to the 8)
What is 30x(to the 9)y(to the 4)
300
Find the first, fifth, and tenth terms of the sequence that has the rule A(n)=5(-2)n-1
What is A(1)=5
A(5)=80
A(10)= -2560
300
The half life of carbon -11 is 20 min. A sample of carbon -11 has 25 mCi
a) how many lives of carbon 11 occur in 1- hour
b)how much carbon -11 is in the sample1 hour after the original sample is measured
What is a)3 half lives
b)3.125 mCi
400
4yx-3
What is 4y/x3
400
Use scientific notation in order from least to greatest
0.052 x 10 to the 7
5.12 x 10 to the 5
5.32 x 10 to the 2
5.34 x 10 to the 2
What is 53.2x10,534,5.12,5.2
400
(7 x 10(to the 2))(4 x 10 (to the 5))
What is 2.8 x 10 to the 8
400
Determine wether each sequence is arithmetic, geometric, or neither 11,9,7,5
What is arithmetic 3,1,-1
400
A $2,400 principal earns 7% compound annually for 10 years
What is y=2400*(1.07)(to the x power); $4,721.16
500
Evaluate 3m2t-2 when m=2 and t=-3
What is 1 1/3
500
7(4x10 to the 5)
What is 2.8 x 10 to the 6
500
(5x(5))(3y(6))(3x(2))
What is 2040
500
On the first swing, a pendulum swings through and arc of length 36 centimeters. On each succesive swing, the length of the arc is 90% of the length of the previous swing.
a) write a rule to model this situation
b)what value of n would you use to find the length of the arc on the sixth swing
What is A(n)=36 *(0.9)n-1
b)6; n=1 corresponds to the first swing, because A(1)=36
500
Since 1985 , the average annual cost y(in dollars) for tuition and fees at public two year colleges in the united states has increased about 6.5% per year. In 1985 tuition and fees were an average of $584 per year.
a) write and equation to model the cost of two year colleges. Predict the annual cost for 2015