money earned on an initial investment and on previously earned money
compound interest
200
(2^3)^4
2^12
200
321,000
3.215 * 10^5
200
exponential growth of decay? y=11(5/4)^x
exponential growth
200
formula used for exponential decay model
y=a(1-r)^t
300
a number in the form of c * 10^n where 110 and n is an integer
scietific notation
300
3^5/3^-7
1/3^2
300
(6 * 10^-2) * (7 * 10^-3)
4.2 * 10^ -4
300
graph y= (1/3)^x
-
300
you deposit $200 in an account and pay 8% annual interest compound yearly. Write a model and find the balance of the account after 3 years.
200(1+.08)^3= $251.94
400
the number of times the base is used as a factor
exponent
400
4x(2y)^3
32xy^3
400
(5 * 10^7) / (2 * 10 ^2)
2.5 * 10 ^5
400
graph y= (1/2) * 2^x
-
400
A city had a declining population froom 1992 to 2001. The population in 1992 was 200,000. Each year, the population decreases by 3%. Write a model and find the population in 2001.
200,000(1-.03)^9=152046.2 152,047 people
500
an expression that represents repeated multiplication of the same factor
power
500
(6x^4/5y^2)^0 * 2(x^-2y^3)^-2/x^2
2x^2/y^6
500
order from least to greatest.....
3.2 * 10^ -4 .0004 2.8 * 10^-5
2.8 * 10^-5 3.2 * 10 ^-4 .0004
500
Write an exponential function for the table
x -2 -1 0 1 2
y 1/3 1 3 9 27
y= 3 * 3^x
500
your family bought a house in 2000 for $150,000. The value of the house increases at an anual rate of 8%. Write a model and evaluate the value of the house in 2005.