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Vocabulary
Where does it go?
Scientific Notation
Exponents
Exponential Growth
100
Tells how many times a number is used as a factor.
What is an Exponent?
100
Where does the x go in the answer to: x9/x2
The top.
100
954,000,000,000 in scientific Notation.
What is 9.54x1011?
100
(x19)(x3)
What is x22
100
Use either the Exponential Growth or Decay Formula to solve this problem using: P = 15000, r = 1.5% (convert this to a decimal), t = 5
What is 15000(1+0.015)5 = 16159.26?
200
An Algebraic expression that is either a constant, a variable, or a product of a constant and one or more variables.
What is a Monomial?
200
Where does the x go in the answer to: x4/x3
The Top
200
72,300,000,000,000,000,000 in Scientific Notation.
What is 7.23x1019?
200
(x5)2
What is (x10)?
200
Use either the Exponential Growth or Decay Formula to solve this problem using: P = 30000, r = 2.5%, t = 7
What is 30000(1+0.025)7 = 35660.57?
300
An easier way to write really large or really small numbers.
What is Scientific Notation?
300
Where does the x go in the answer to: x-8/x7
The Bottom
300
8.43x1015 in Long Hand (Standard Notation)
What is 8,430,000,000,000,000?
300
(3x6)3
What is 27x18
300
Use either the Exponential Growth or Decay Formula to solve this problem using: P = 52000, r = 3%, t = 15
What is 52000(1+0.03)15 = 81,014.30?
400
A problem where a variable and it's power has an exponent. The exponent is distributed to all the exponents on the inside of the parentheses.
What is Power of a Power?
400
Where does the x go in the answer to: x11x-13/x7x-4
The Bottom.
400
(3.2x1019)(6.1x103)
What is 1.952x1023?
400
(60x5)/(12x2)
What is 5x3
400
The value of a gold coin picturing the head of the Roman Emperor Vespasian is increasing at the rate of 5% per year. If the coin is worth $105 now, what will it be worth in 11 years?
What is 105(1+.05)11 = $179.59?
500
Where a quotient of a constant and a variable or more than one variable has an exponent. To simplify these problems subtract the smaller exponent from the larger exponent and keep the variable where the larger exponent was; divide the coefficients using the rules of fractions.
What is a Quotient of a Power?
500
Where does the x go in the answer to: x-7x-3x21/x-8x14
The Top.
500
(9.3x1013)/(1.5x10-24)
What is 6.2x10-11
500
(7x9y5)/(49x5y13)
What is (x4)/(7y8)?
500
In the year 2000, the population of Mexico was about 100 million, and it was growing by 1.53% per year. At this growth rate,the function f(x)=100(1.0153)x gives the population,in millions,x years after 2000. Using this model, in what year would the population reach 111 million? 2009, 2008, or 2007? Round your answer to the nearest year.
What is 2007?