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Exponent Properties
Scientific Notation
Geometric Sequences
Exponential Growth
Exponential Decay
100
c^3v^9c^-1c^0
What is c^2v^9
100
76 x 10^-9
What is .000000076
100
Find the 5th term of the sequence. A(n) = -3(-2)^n-1
What is -48
100
A certain town had a population of 13,000 people. Since 1998 the population has increased 1.4% a year. What is the poplulation in 2006?
What is 14, 529. A(n) = 13,000 x 1.014^x
100
In 1990, the population of Washington, D.C. was about 604,000 people. Since then the population has decreased about 1.8% per year. Find the population in 2010.
What is 420,017 people.
200
9y^4j^2y^-9
What is (9j^2)/(y^5)
200
The speed of light in a vacuum is about 186,300 mi/s. Use Scientific Notation to express how far light travels in one hour.
What is 6.7068 x 10^8
200
What is the common ratio... 5, -10, 20, -40, ...
What is -2
200
A population of 24, 500 people has been increasing at a rate of 1.8% a year. What will be the population in 15 years?
What is 32,017.
200
The value of a $1,200 computer decreases 27% annually. What will be the value of the computer after 3 years?
What is $466.82.
300
(a^3/m)^-4
What is (m^4)/a^12
300
(9.55 x 10^7)(7.371 x 10^-15)
What is 7.039305 x 10^-7
300
Write the rule for finding the 10th term when the first term is -6 and the common ratio is 2. Then find the term.
What is A(n) = -6 x 2^n-1 and -3072
300
Write an exponential function to represent $2,000 principal earning 5.6% interest compounded annually.
What is y = 2000 x 1.056^x
300
By which percent would you multiply a number to decrease it by 3.5%?
What is 96.5%.
400
(-3q^-1)^3q^2
What is (-27)/q
400
There are about 3.35 x 10^25 molecules in a liter of water. Pine Lake in NY has about 2 x 10^8 liters of water. About how many molecules of water are in Pine Lake?
What is 6.7 x 10^33
400
Find the first, sixth, and twelfth terms of the sequence... A(n)= -2 x 5^n-1
What is -2, -6250, -97656250
400
Find the account balance on $3,000 principal earning 6.4% interest compounded quarterly for 7 years.
What is $4,678.91.
400
Suppose your mother buys a new car for $22,000. The value of the car decreases by 20% each year. Find the value of the car after 6 years.
What is $5,767.17.
500
2y^-9h^2(2y^0h^-4)^-6
What is (h^26)/(32y^9)
500
In 2000 the total amount of glass recycled in the US was 2.7 million tons. The population of the US in 2000 was 281.4 million people. On average, about how many tons of glass were recycled per person?
What is 9.59 x 10^-3
500
You drop a basketball from a height of 2 meters. Each curved path has 56% of the height of the previous path. Using the height in centimeters, write a rule for the sequence. What heigt will the basketball reach at the top of the 4th path (when n=4)? Round to the nearest tenth of a centimeter.
What is A(n) = 200 x 0.56^n-1 and 35.1cm
500
A $2,400 principal earns 7% compounded monthly for 10 years.
What is $4,823.19.
500
On January 1, 2000, Chessville had a population of 40,000 people. Its population increases 7% each year. On the same day, Checkersville had a population of 60,000 people. Its population decreases 4% each year. During what year will the population of Chessville exceed that of Checkersville?
What is 2004.