Properties of Exponents
Simplify the following expression using positive exponents only.
5x^2y - 3xy - 6x^2y + 10xy
-x^2y +7xy
Is the following function Growth or Decay?
y = 3(1/2)^t
DECAY
What is the formula for Compound Interest?
A = P(1+r/n)^(nt)
Where is Ms. Rinehart's mom originally from?
Simplify the following expression using positive exponents only.
(4t^3uv^2)(-3tv^4)
-12t^4uv^6
Is this a Growth or Decay word problem?
In 1985, there were 285 cell phone subscribers in Mayville. The number of subscribers increased by 75% per year after 1985. Find the number of subscribers in 2008.
Growth
What do each of the variables in the Compound Interest Formula represent?
A = Final Amount
P = Principal Amount
r = Interest rate for a year
n = number of times interest is compounded in a year
t = number of years
What University did Mr. Scharf graduate from?
UCF
Simplify the following expression using positive exponents only.
((3a^4b^2)(4ab^3))/(2ab^5)
6a^4
What is the equation for the asymptote of this Exponential Function?
y = 5^3 - 2
y = -2
The following equation shows how much Bree has in an investment account after t years. Using the equation, identify how much money Bree initially put into the account, the interest rate of the account and how many times it's compounded in a year.
A = 800(1+0.065/4)^(4t)
Initial amount - $800
Interest rate - 6.5%
Compounded quarterly - 4 times a year.
When doing a word problem on Compound Interest, if you see the phrase "Compounded Quarterly," what does that mean?
It means the interest will be compounded 4 times in the year. n = 4
Simplify the following expression using positive exponents only.
(3fg^4)^2
9f^2g^8
Evaluate the following exponential function for f(-2).
f(t) = 3(1/4)^t
f(-2) =
f(-2) = 48
Amir deposits $150 into a retirement fund that earns 4% interest and is compounded semiannually. Write the equation that represents how much money Amir has in his retirement account after t years.
A = 150(1+0.04/2)^(2t)
Rewrite the following equation in Slope-Intercept Form
10x - 20y = 40
y = 1/2x - 2
Simplify the following expression using positive exponents only.
((2x^-1y^3)^-2)/(2x^-3)
(x^5)/(8y^6)
The population of a town is decreasing at a rate of 2.5% per year. If the population in 2000 was 28,000, what is the expected population in 2015 if this rate of decrease continues?
The population will be approximately 19,153 people in 2015.
Amir deposits $150 into a retirement fund that earns 4% interest and is compounded semiannually. How much does Amir have in his account after 8 years?
Plug in t = 8...
A = $205.92
Simplify the following expression.
2x^-3y^5z^0
(2y^5)/(x^3)